{ "cells": [ { "cell_type": "markdown", "id": "99bf0c38", "metadata": {}, "source": [ "# \"Crossing the border in disguise\" : a chemical crosses a membrane impermeable to it, \n", "#### by first undergoing a reaction converting it into a different chemical, to which the membrane is permeable, \n", "#### and then re-constituting the first chemical outside of the membrane, thru the reverse reaction.\n", "#### Reaction-diffusion `A <-> B` in 1D, in the presence of membranes with selective permeability to passive transport.\n", " \n", "Eventually, the reaction, the passive membrane transport and the diffusion all come to an equilibrium." ] }, { "cell_type": "markdown", "id": "0830bd78", "metadata": {}, "source": [ "### TAGS : \"reactions 1D\", \"diffusion 1D\", \"membranes 1D\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "ad8c5806", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"June 6, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "9ae363d7", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "01e3ecbd", "metadata": {}, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import check_version, BioSim1D, ChemData, UniformCompartment" ] }, { "cell_type": "code", "execution_count": 4, "id": "73d0566f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "096fd5b5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e2cdebf1-032a-4870-9f9e-891317821ad7", "metadata": {}, "source": [ "## Prepare the initial system, for starters with IM-PERMEABLE membranes\n", "with two chemicals `A` and `B`" ] }, { "cell_type": "code", "execution_count": 5, "id": "dd95fbb6-ee21-40af-9de8-9684925ddb1b", "metadata": {}, "outputs": [], "source": [ "chem_data = ChemData(diffusion_rates=[2., 2.], plot_colors=[\"turquoise\", \"green\"]) # Names \"A\", \"B\" automatically assigned\n", "\n", "bio = BioSim1D(n_bins=9, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 6, "id": "81a9e534-8c10-4ce2-bf19-44d76d073267", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 1 (at temp. 25 C)\n", "0: A <-> B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"B\" (green), \"A\" (turquoise)}\n" ] } ], "source": [ "reactions = bio.get_reactions()\n", "\n", "# Reaction A <-> B , 1st-order kinetics, mostly (but not hugely) in the forward direction\n", "reactions.add_reaction(reactants=\"A\", products=\"B\", forward_rate=8., reverse_rate=2.)\n", "reactions.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 7, "id": "314ffa3c-3c1f-451d-b12f-e998e98374ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.00.00.00.010.00.00.00.00.0
1B2.00.00.00.00.00.00.00.00.00.0
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 Bin 5 Bin 6 Bin 7 \\\n", "0 A 2.0 0.0 0.0 0.0 0.0 10.0 0.0 0.0 0.0 \n", "1 B 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 \n", "\n", " Bin 8 \n", "0 0.0 \n", "1 0.0 " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.set_bin_conc(bin_address=4, chem_label=\"A\", conc=10.) # Set the initial concentration of `A` in middle bin\n", "\n", "bio.membranes().set_membranes(membranes=[ (4,5) ]) # By default impermeable\n", "\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 8, "id": "732d8d36-cbda-43f8-8c02-5ebbdaa91b4a", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0, 0, 0, 0, 10, 0, 0, 0, 0 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=0" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": null, "id": "0b3d4599-836d-443f-98d2-49f4cebba2c9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "8242cb1d-7754-4636-86fe-2b545f839516", "metadata": {}, "source": [ "## Request history-keeping for some bins" ] }, { "cell_type": "code", "execution_count": 9, "id": "2cd2f55f-6592-4455-b7d4-eb9ee6c6db90", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "History enabled for bins [0, 2, 4] and chemicals None (None means 'all')\n" ] } ], "source": [ "# Request to save the concentration history at the bin with the initial concentration injection, \n", "# and at a couple of other bins\n", "bio.enable_history(bins=[0, 2, 4], frequency=10, take_snapshot=True) " ] }, { "cell_type": "code", "execution_count": null, "id": "c4618c1f-2562-40af-b247-0e2b22f9490d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f1a6569e-ef48-45dd-8eeb-f6e973fd9614", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "d185e119", "metadata": { "tags": [] }, "source": [ "### Advance reaction to equilibrium\n", "The membranes are impermeable for now; so, no transport across them occurs" ] }, { "cell_type": "code", "execution_count": 10, "id": "56a56a54", "metadata": {}, "outputs": [], "source": [ "delta_t = 0.002 # This will be our time \"quantum\" (fixed time step for reactions, passive transport and diffusion) for this experiment" ] }, { "cell_type": "code", "execution_count": 11, "id": "91fb40dd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.7:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.00.00.00.02.0067950.00.00.00.0
1B2.00.00.00.00.07.9932050.00.00.00.0
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 Bin 5 Bin 6 \\\n", "0 A 2.0 0.0 0.0 0.0 0.0 2.006795 0.0 0.0 \n", "1 B 2.0 0.0 0.0 0.0 0.0 7.993205 0.0 0.0 \n", "\n", " Bin 7 Bin 8 \n", "0 0.0 0.0 \n", "1 0.0 0.0 " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=350)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 12, "id": "955e754d-02c1-4e8c-a591-e35a8cf0985d", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0, 0, 0, 0, 2.0067954227431954, 0, 0, 0, 0 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0, 0, 0, 0, 7.993204577256811, 0, 0, 0, 0 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=0.7" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": 13, "id": "53cbbe87", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005 ], "xaxis": "x", "y": [ 10, 8.536582455100374, 7.3408637740407565, 6.363874555059498, 5.565603231607609, 4.913357440696937, 4.380425141536966, 3.944980651981295, 3.5891908006563273, 3.2984845881721334, 3.0609564471580253, 2.866878662264847, 2.7083029818076607, 2.578735105472405, 2.472868717072699, 2.3863681699479042, 2.3156909251113387, 2.257942470289648, 2.2107577782150707, 2.1722044494195716, 2.1407035728457737, 2.114965063204203, 2.093934826886263, 2.0767515926684554, 2.062711639254705, 2.0512399751103607, 2.0418667902882706, 2.0342082158562103, 2.0279506029482492, 2.0228376776051253, 2.0186600453436125, 2.015246615625554, 2.012457595024707, 2.010178762133906, 2.0083167897473917, 2.0067954227431954 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005 ], "xaxis": "x", "y": [ 0, 1.4634175448996252, 2.659136225959244, 3.636125444940502, 4.434396768392391, 5.086642559303063, 5.619574858463034, 6.055019348018705, 6.4108091993436735, 6.7015154118278675, 6.9390435528419765, 7.1331213377351546, 7.291697018192342, 7.4212648945275985, 7.527131282927305, 7.6136318300521015, 7.684309074888666, 7.742057529710358, 7.789242221784936, 7.8277955505804355, 7.859296427154233, 7.885034936795805, 7.9060651731137455, 7.9232484073315534, 7.937288360745304, 7.948760024889648, 7.958133209711737, 7.965791784143798, 7.972049397051759, 7.977162322394882, 7.981339954656393, 7.98475338437445, 7.987542404975297, 7.989821237866099, 7.991683210252614, 7.993204577256811 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Concentration as a function of time of all chemicals at bin 4" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 0.7000000000000005 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.plot_history_single_bin(bin_address=4)" ] }, { "cell_type": "code", "execution_count": 14, "id": "9f2df08b-2d42-48f8-9295-b6dc331a2498", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A <-> B\n", "Current concentrations: [A] = 2.007 ; [B] = 7.993\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.98307\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 0.4233 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check the reaction equilibrium\n", "bio.reaction_in_equilibrium(bin_address=4, rxn_index=0, explain=True) " ] }, { "cell_type": "markdown", "id": "4bc8eec0-ac8c-4b87-a48a-073dce29c697", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1a1b82a4-acff-4090-825b-cd2fd59ff3c7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "c1954c6e", "metadata": { "tags": [] }, "source": [ "# Let's siphon off the product `B` from the central bin 4, by making the membrane permeable to it \n", "while still remaining impermeable to `A`. Note the system time when this happens:" ] }, { "cell_type": "code", "execution_count": 15, "id": "df80a6d2-1222-40d6-9bca-eb45dfc228b6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.get_system_time()" ] }, { "cell_type": "code", "execution_count": 16, "id": "83d7c318-78f3-410b-879b-849c96c6549a", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.membranes().change_permeability(\"B\", 1.) # Make the membrane permeable to `B` (and only to `B`!)" ] }, { "cell_type": "code", "execution_count": null, "id": "2b0ecdbd-c33f-4c34-b5df-2d185b76b50c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "876e8625-97ba-410b-a5ee-5929d7530be1", "metadata": { "tags": [] }, "source": [ "### Advance the reaction - and now also the passive transport of `B` across the membrane, and its diffusion outside" ] }, { "cell_type": "code", "execution_count": 17, "id": "2aacf344-7979-409f-b38d-4e08943c6a5f", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.76:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.0000020.0000580.0014570.0204751.9597230.0204750.0014570.0000580.000002
1B2.00.0000220.0008150.0221480.3969227.1564780.3969220.0221480.0008150.000022
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.000002 0.000058 0.001457 0.020475 1.959723 \n", "1 B 2.0 0.000022 0.000815 0.022148 0.396922 7.156478 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.020475 0.001457 0.000058 0.000002 \n", "1 0.396922 0.022148 0.000815 0.000022 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=30)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 18, "id": "eb5187ea-6554-41f8-b307-a866ac608ae6", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 1.641822578436557e-06, 5.812920335360936e-05, 0.0014566301898969287, 0.020475420600453417, 1.959723152917423, 0.020475420600453417, 0.0014566301898969287, 5.812920335360936e-05, 1.641822578436557e-06 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 2.238331126271549e-05, 0.0008153881078497754, 0.02214803582112052, 0.39692181588839803, 7.156477957192753, 0.39692181588839803, 0.02214803582112052, 0.0008153881078497754, 2.238331126271549e-05 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=0.76" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "markdown", "id": "7904372d-cf0b-4d68-9a50-b26115c5eb62", "metadata": {}, "source": [ "Notice what's happening: \n", "1. `B` is diffusing away (because we made the membranes permeable to it) \n", "2. By Le Chatelier's principle, the reaction `A <-> B` in bin 4 is moving forward, because we're siphoning off the product `B` \n", "3. In the other bins, `A` is re-forming from `B`, from the reverse reaction" ] }, { "cell_type": "code", "execution_count": null, "id": "e9026bfc-dcaf-48d4-9a00-92acf97986fb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e5aa71a8-4ca6-4893-a7b4-82375bfed0c3", "metadata": { "tags": [] }, "source": [ "### Continue advancing the reaction, passive transport of `B`, and diffusion" ] }, { "cell_type": "code", "execution_count": 19, "id": "d5571acb-e021-40e9-97cc-63813486edc6", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.86:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.0001450.0017530.0162620.0913031.7824240.0913030.0162620.0017530.000145
1B2.00.0008960.0112790.1141460.8069556.1320990.8069550.1141460.0112790.000896
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.000145 0.001753 0.016262 0.091303 1.782424 \n", "1 B 2.0 0.000896 0.011279 0.114146 0.806955 6.132099 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.091303 0.016262 0.001753 0.000145 \n", "1 0.806955 0.114146 0.011279 0.000896 " ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=50)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 20, "id": "f36bff42-5961-48c3-8efc-09937ada3185", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0.0001453002287919939, 0.001752681753306665, 0.016261873937549524, 0.09130319846211883, 1.7824237941502243, 0.09130319846211883, 0.016261873937549524, 0.001752681753306665, 0.0001453002287919939 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0.0008956751701046846, 0.011278714905340957, 0.11414595739779804, 0.806954970901972, 6.132099460335819, 0.806954970901972, 0.11414595739779804, 0.011278714905340957, 0.0008956751701046846 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=0.86" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "markdown", "id": "cfc57e1a-af8c-4eea-b91c-0c6f5dea138f", "metadata": {}, "source": [ "Notice how the concentration of `A` in the central bin 4 is continuing to drop" ] }, { "cell_type": "code", "execution_count": 21, "id": "2094054b-796b-424d-b30e-4c26fb0ce882", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007 ], "xaxis": "x", "y": [ 10, 8.536582455100374, 7.3408637740407565, 6.363874555059498, 5.565603231607609, 4.913357440696937, 4.380425141536966, 3.944980651981295, 3.5891908006563273, 3.2984845881721334, 3.0609564471580253, 2.866878662264847, 2.7083029818076607, 2.578735105472405, 2.472868717072699, 2.3863681699479042, 2.3156909251113387, 2.257942470289648, 2.2107577782150707, 2.1722044494195716, 2.1407035728457737, 2.114965063204203, 2.093934826886263, 2.0767515926684554, 2.062711639254705, 2.0512399751103607, 2.0418667902882706, 2.0342082158562103, 2.0279506029482492, 2.0228376776051253, 2.0186600453436125, 2.015246615625554, 2.012457595024707, 2.010178762133906, 2.0083167897473917, 2.0067954227431954, 2.000180646224639, 1.983686006881215, 1.959723152917423, 1.930204511380421, 1.896643340630288, 1.8602338532082616, 1.8219153856522432, 1.7824237941502243 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007 ], "xaxis": "x", "y": [ 0, 1.4634175448996252, 2.659136225959244, 3.636125444940502, 4.434396768392391, 5.086642559303063, 5.619574858463034, 6.055019348018705, 6.4108091993436735, 6.7015154118278675, 6.9390435528419765, 7.1331213377351546, 7.291697018192342, 7.4212648945275985, 7.527131282927305, 7.6136318300521015, 7.684309074888666, 7.742057529710358, 7.789242221784936, 7.8277955505804355, 7.859296427154233, 7.885034936795805, 7.9060651731137455, 7.9232484073315534, 7.937288360745304, 7.948760024889648, 7.958133209711737, 7.965791784143798, 7.972049397051759, 7.977162322394882, 7.981339954656393, 7.98475338437445, 7.987542404975297, 7.989821237866099, 7.991683210252614, 7.993204577256811, 7.688448006047447, 7.410914440099615, 7.156477957192753, 6.921774504975666, 6.7040524580940355, 6.501053196878374, 6.310915580915259, 6.132099460335819 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.7, "x1": 0.7, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`
Concentration as a function of time of all chemicals at bin 4" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 0.8600000000000007 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.plot_history_single_bin(bin_address=4, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`\")" ] }, { "cell_type": "code", "execution_count": null, "id": "227c5ec8-374f-4adc-9295-6d88bb7f9036", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 22, "id": "ec008915-ad11-40cf-a33c-dc44fe1b7c4d", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 1.16:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.0065410.0266810.0974620.2464651.2457650.2464650.0974620.0266810.006541
1B2.00.0274460.1144770.4391271.2857824.2662701.2857820.4391270.1144770.027446
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.006541 0.026681 0.097462 0.246465 1.245765 \n", "1 B 2.0 0.027446 0.114477 0.439127 1.285782 4.266270 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.246465 0.097462 0.026681 0.006541 \n", "1 1.285782 0.439127 0.114477 0.027446 " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=150)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 23, "id": "997d01a8-51a0-4a11-b91c-0dd65491fca0", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0.00654097209664724, 0.026681361657037942, 0.09746248430209642, 0.24646520575724748, 1.245765147313744, 0.24646520575724748, 0.09746248430209642, 0.026681361657037942, 0.00654097209664724 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0.027446413071302453, 0.1144774982452317, 0.4391269523900254, 1.2857816581096375, 4.266269761427821, 1.2857816581096375, 0.4391269523900254, 0.1144774982452317, 0.027446413071302453 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=1.16" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "markdown", "id": "1f86742f-68c4-46ec-99e2-21f0d51a48a9", "metadata": {}, "source": [ "Notice how [A] in bin 4 is continuing to drop, as `A` keeps turns into `B`" ] }, { "cell_type": "code", "execution_count": null, "id": "ff147db5-d65c-4eb6-a410-d97dbf473a19", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 24, "id": "e851c4d7-5238-4cf4-8228-f8679fe93c1b", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 2.16:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.0888380.1332970.2136010.2989790.5305690.2989790.2136010.1332970.088838
1B2.00.3556830.5349500.8652351.2629931.9622791.2629930.8652350.5349500.355683
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.088838 0.133297 0.213601 0.298979 0.530569 \n", "1 B 2.0 0.355683 0.534950 0.865235 1.262993 1.962279 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.298979 0.213601 0.133297 0.088838 \n", "1 1.262993 0.865235 0.534950 0.355683 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=500)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 25, "id": "ea57722a-3c7f-46c4-9929-c5ac4a879e32", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0.08883791190596146, 0.13329733662895024, 0.21360129870457947, 0.2989787299025493, 0.5305694483904794, 0.2989787299025493, 0.21360129870457947, 0.13329733662895024, 0.08883791190596146 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0.355682948434583, 0.5349503980495874, 0.8652348738847295, 1.2629925065456942, 1.9622785434962713, 1.2629925065456942, 0.8652348738847295, 0.5349503980495874, 0.355682948434583 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=2.16" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": null, "id": "f208a052-26d0-4be1-8c79-ad4b6cdd1c6a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 26, "id": "e22380e9-f8d0-4ea6-91c6-c048cc9961b0", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 5.16:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.2100190.2150860.2230460.2300930.2435140.2300930.2230460.2150860.210019
1B2.00.8400910.8604350.8927710.9241500.9651060.9241500.8927710.8604350.840091
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.210019 0.215086 0.223046 0.230093 0.243514 \n", "1 B 2.0 0.840091 0.860435 0.892771 0.924150 0.965106 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.230093 0.223046 0.215086 0.210019 \n", "1 0.924150 0.892771 0.860435 0.840091 " ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=1500)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 27, "id": "83783ab4-5f1e-45de-8676-63bd164dee51", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0.21001861958938553, 0.21508573044138155, 0.22304568309812245, 0.2300929801928646, 0.2435139733564967, 0.2300929801928646, 0.22304568309812245, 0.21508573044138155, 0.21001861958938553 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0.8400909883757978, 0.8604349466026756, 0.8927712683838066, 0.9241498488895489, 0.9651058954963612, 0.9241498488895489, 0.8927712683838066, 0.8604349466026756, 0.8400909883757978 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=5.16" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": null, "id": "91c7f7f6-7c63-48e8-8ee5-40212063cb4f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "276ad0f2-e80f-417c-9ffb-ea205d792670", "metadata": { "tags": [] }, "source": [ "### Let's take the system to equilibrium, in reactions and diffusion" ] }, { "cell_type": "code", "execution_count": 28, "id": "3ba48135-1d19-4a9f-8a52-3ce54c80136d", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 11.16:\n", "9 bins and 2 chemical species\n", "Membranes present: \n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.2221420.2221750.2222280.2222740.2223620.2222740.2222280.2221750.222142
1B2.00.8885660.8887010.8889150.8891220.8893900.8891220.8889150.8887010.888566
\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.222142 0.222175 0.222228 0.222274 0.222362 \n", "1 B 2.0 0.888566 0.888701 0.888915 0.889122 0.889390 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.222274 0.222228 0.222175 0.222142 \n", "1 0.889122 0.888915 0.888701 0.888566 " ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=3000)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 29, "id": "fa7cc812-46c8-494b-b81f-9325ddce1c12", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0.22214150882741823, 0.22217514379993986, 0.2222278595064559, 0.22227437286477125, 0.22236223000283506, 0.22227437286477125, 0.2222278595064559, 0.22217514379993986, 0.22214150882741823 ] ] }, { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.21625 }, "colorscale": [ [ 0, "white" ], [ 1, "green" ] ], "hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B", "texttemplate": "%{z:.3g}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 0.8885661429118986, 0.8887011758291498, 0.8889152837316666, 0.8891222030452851, 0.8893903889640213, 0.8891222030452851, 0.8889152837316666, 0.8887011758291498, 0.8885661429118986 ] ] } ], "layout": { "autosize": true, "shapes": [ { "fillcolor": "turquoise", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x", "y0": -0.485, "y1": 0.485, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 3.43, "x1": 3.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 4.43, "x1": 4.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "System snapshot at time t=11.16" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 8.5 ], "title": { "text": "Bin number" } }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.5675, 1 ], "range": [ -0.5, 0.5 ], "type": "category" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.4325 ], "range": [ -0.5, 0.5 ], "type": "category" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": 30, "id": "19ad9d52-6446-458e-978b-c430a34b1544", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A <-> B\n", "Current concentrations: [A] = 0.2221 ; [B] = 0.8886\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 1.211e-05 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check the reaction equilibrium in one of the bins (doesn't matter which one, since all bin concentrations are now the same)\n", "bio.reaction_in_equilibrium(bin_address=0, rxn_index=0, explain=True) " ] }, { "cell_type": "markdown", "id": "f41a1d93-4d8d-45ab-80c1-3200d25093e1", "metadata": {}, "source": [ "### From a casual glance at the past heatmaps, it might seem that `A` has diffused to equilibrium across all bins... \n", "### But the actual mechanism was that `A` (trapped in bin 4 by a membrane impermeable to it) has transformed into `B`, which in turn has passively crossed the membrane, and then diffused across all bins, while at the same time forming `A` by the reverse reaction in all bins outside the membrane. \n", "#### All said and done, `A` has \"found a way, thru its disguise as `B`\" to indirectly pass thru an impermeable membrane!" ] }, { "cell_type": "code", "execution_count": 31, "id": "6f01a81e-0807-4a5b-b4c7-cab78aa2b2d6", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 10, 8.536582455100374, 7.3408637740407565, 6.363874555059498, 5.565603231607609, 4.913357440696937, 4.380425141536966, 3.944980651981295, 3.5891908006563273, 3.2984845881721334, 3.0609564471580253, 2.866878662264847, 2.7083029818076607, 2.578735105472405, 2.472868717072699, 2.3863681699479042, 2.3156909251113387, 2.257942470289648, 2.2107577782150707, 2.1722044494195716, 2.1407035728457737, 2.114965063204203, 2.093934826886263, 2.0767515926684554, 2.062711639254705, 2.0512399751103607, 2.0418667902882706, 2.0342082158562103, 2.0279506029482492, 2.0228376776051253, 2.0186600453436125, 2.015246615625554, 2.012457595024707, 2.010178762133906, 2.0083167897473917, 2.0067954227431954, 2.000180646224639, 1.983686006881215, 1.959723152917423, 1.930204511380421, 1.896643340630288, 1.8602338532082616, 1.8219153856522432, 1.7824237941502243, 1.7423326185395267, 1.7020860491013774, 1.6620253247375003, 1.6224098667057312, 1.5834341926518969, 1.5452414480936747, 1.5079342263500417, 1.4715832148491854, 1.4362340991553613, 1.4019130706378677, 1.3686312152362154, 1.3363880058773494, 1.305174077073318, 1.274973424911277, 1.245765147313744, 1.2175248167117383, 1.1902255590284514, 1.1638388982283203, 1.1383354139339292, 1.1136852501803451, 1.0898585058055204, 1.0668255308990553, 1.0445571488552952, 1.0230248196638643, 1.0022007569315794, 0.9820580086117299, 0.9625705093976384, 0.9437131111189159, 0.925461596181933, 0.9077926780573917, 0.8906839919865052, 0.8741140784123143, 0.8580623611111686, 0.8425091215750315, 0.8274354708567649, 0.8128233198209227, 0.7986553485281268, 0.7849149753108269, 0.7715863259633526, 0.7586542033625564, 0.7461040577513354, 0.7339219578513729, 0.7220945629198627, 0.7106090958248794, 0.6994533171830595, 0.6886155005794953, 0.6780844088717015, 0.6678492715660064, 0.6578997632447577, 0.6482259830155871, 0.6388184349489878, 0.6296680094671978, 0.6207659656454024, 0.6121039143853134, 0.6036738024209747, 0.5954678971170168, 0.5874787720203619, 0.579699293127476, 0.5721226058305525, 0.5647421225074521, 0.5575515107217368, 0.550544682000686, 0.5437157811607594, 0.5370591761515116, 0.5305694483904794, 0.524241383563043, 0.5180699628626712, 0.5120503546483253, 0.5061779064970932, 0.5004481376313558, 0.49485673170095973, 0.489399529901974, 0.484072524414655, 0.4788718521442285, 0.47379378874902295, 0.4688347429413643, 0.4639912510474597, 0.4592599718132733, 0.4546376814441184, 0.4501212688663728, 0.4457077312003645, 0.44139416943407506, 0.4371777842878723, 0.43305587226101555, 0.4290258218511737, 0.42508510993866605, 0.4212312983275763, 0.4174620304363043, 0.4137750281305105, 0.4101680886917746, 0.40663908191563597, 0.40318594733300894, 0.3998066915492735, 0.3964993856956303, 0.3932621629875814, 0.39009321638565847, 0.3869907963537597, 0.38395320871068844, 0.3809788125707033, 0.37806601836909337, 0.3752132859689881, 0.3724191228457926, 0.36968208234581457, 0.36700076201581167, 0.36437380200034647, 0.3617998835039803, 0.35927772731547947, 0.35680609239134015, 0.35438377449606095, 0.3520096048967169, 0.34968244910949525, 0.34740120569596733, 0.34516480510696823, 0.3429722085720563, 0.3408224070326144, 0.33871442011674435, 0.3366472951541888, 0.3346201062295933, 0.3326319532724991, 0.33068196118252613, 0.3287692789882766, 0.3268930790385542, 0.32505255622455403, 0.3232469272317424, 0.3214754298201948, 0.3197373221322213, 0.31803188202615534, 0.316358406435233, 0.3147162107505337, 0.3131046282270023, 0.31152300941161076, 0.30997072159275896, 0.30844714827005554, 0.3069516886436531, 0.30548375712234904, 0.3040427828496968, 0.30262820924740513, 0.3012394935753309, 0.29987610650740487, 0.2985375317228536, 0.2972232655121092, 0.29593281639682545, 0.2946657047634409, 0.2934214625097543, 0.29219963270400096, 0.2909997692559368, 0.28982143659946247, 0.2886642093863338, 0.2875276721905281, 0.28641141922285096, 0.2853150540553871, 0.28423818935541306, 0.2831804466284087, 0.28214145596981577, 0.2811208558252081, 0.2801182927585524, 0.27913342122824875, 0.27816590337065755, 0.2772154087908263, 0.2762816143601448, 0.27536420402066714, 0.27446286859584945, 0.2735773056074636, 0.27270721909845336, 0.27185231946151495, 0.2710123232731862, 0.27018695313324215, 0.2693759375091989, 0.2685790105857404, 0.2677959121188846, 0.2670263872947183, 0.2662701865925318, 0.2655270656521946, 0.264796785145619, 0.26407911065216305, 0.2633738125378319, 0.26268066583814076, 0.2619994501445104, 0.26132994949406746, 0.26067195226272993, 0.2600252510614626, 0.2593896426355895, 0.25876492776705734, 0.2581509111795471, 0.2575474014463337, 0.25695421090080006, 0.2563711555495132, 0.2557980549877744, 0.25523473231756016, 0.25468101406777044, 0.2541367301167086, 0.2536017136167152, 0.25307580092088555, 0.25255883151180003, 0.2520506479322009, 0.25155109571755024, 0.2510600233304088, 0.25057728209657365, 0.2501027261429193, 0.2496362123368857, 0.24917760022756089, 0.24872675198830543, 0.24828353236087122, 0.24784780860096542, 0.24741945042521502, 0.24699832995948667, 0.24658432168852043, 0.24617730240683564, 0.24577715117086976, 0.24538374925231216, 0.24499698009259605, 0.24461672925851333, 0.244242884398918, 0.24387533520248558, 0.2435139733564967, 0.2431586925066141, 0.24280938821762393, 0.2424659579351123, 0.24212830094805035, 0.2417963183522606, 0.24146991301473925, 0.24114898953881025, 0.2408334542300865, 0.2405232150632154, 0.24021818164938652, 0.23991826520458048, 0.23962337851853696, 0.2393334359244232, 0.23904835326918267, 0.23876804788454561, 0.23849243855868305, 0.23822144550848698, 0.2379549903524598, 0.23769299608419633, 0.2374353870464432, 0.23718208890571932, 0.23693302862748333, 0.23668813445183395, 0.236447335869728, 0.23621056359970433, 0.23597774956509926, 0.23574882687174178, 0.23552372978611588, 0.23530239371397824, 0.2350847551794201, 0.2348707518043615, 0.23466032228846814, 0.23445340638947934, 0.23424994490393775, 0.23404987964831095, 0.23385315344049468, 0.23365971008168948, 0.233469494338641, 0.23328245192623576, 0.23309852949044343, 0.23291767459159834, 0.23273983568801093, 0.23256496211990274, 0.2323930040936564, 0.23222391266637427, 0.23205763973073784, 0.23189413800016132, 0.23173336099423278, 0.2315752630244366, 0.23141979918015015, 0.23126692531490942, 0.23111659803293683, 0.23096877467592636, 0.23082341331007925, 0.23068047271338546, 0.23053991236314564, 0.23040169242372782, 0.2302657737345542, 0.23013211779831286, 0.23000068676938987, 0.2298714434425168, 0.2297443512416292, 0.22961937420893144, 0.22949647699416395, 0.22937562484406843, 0.2292567835920466, 0.2291399196480091, 0.22902499998840992, 0.22891199214646332, 0.22880086420253892, 0.2286915847747314, 0.22858412300960151, 0.22847844857308483, 0.2283745316415648, 0.22827234289310688, 0.22817185349885055, 0.22807303511455596, 0.22797585987230218, 0.22788030037233425, 0.2277863296750558, 0.2276939212931646, 0.2276030491839283, 0.22751368774159716, 0.227425811789952, 0.2273393965749836, 0.22725441775770233, 0.22717085140707424, 0.22708867399308202, 0.22700786237990836, 0.22692839381923868, 0.2268502459436823, 0.22677339676030825, 0.2266978246442947, 0.22662350833268963, 0.22655042691828015, 0.2264785598435689, 0.2264078868948559, 0.22633838819642255, 0.22627004420481772, 0.22620283570324232, 0.2261367437960317, 0.2260717499032336, 0.22600783575527994, 0.22594498338775068, 0.22588317513622824, 0.22582239363124076, 0.22576262179329237, 0.22570384282797934, 0.22564604022118992, 0.22558919773438724, 0.22553329939997266, 0.22547832951672908, 0.22542427264534246, 0.2253711136039997, 0.22531883746406223, 0.22526742954581358, 0.22521687541427945, 0.2251671608751196, 0.2251182719705893, 0.2250701949755703, 0.22502291639366884, 0.22497642295338055, 0.2249307016043207, 0.22488573951351834, 0.2248415240617734, 0.22479804284007604, 0.22475528364608643, 0.2247132344806745, 0.22467188354451859, 0.22463121923476106, 0.22459123014172153, 0.2245519050456649, 0.22451323291362477, 0.22447520289627998, 0.22443780432488467, 0.2244010267082496, 0.22436485972977482, 0.22432929324453235, 0.22429431727639812, 0.2242599220152323, 0.22422609781410724, 0.224192835186582, 0.2241601248040229, 0.22412795749296938, 0.2240963242325437, 0.22406521615190506, 0.2240346245277456, 0.22400454078182933, 0.2239749564785721, 0.22394586332266211, 0.22391725315672067, 0.22388911795900227, 0.2238614498411329, 0.22383424104588676, 0.2238074839450002, 0.2237811710370221, 0.22375529494520055, 0.22372984841540497, 0.22370482431408284, 0.22368021562625098, 0.22365601545352023, 0.2236322170121534, 0.2236088136311555, 0.22358579875039655, 0.22356316591876488, 0.22354090879235225, 0.22351902113266867, 0.22349749680488754, 0.22347632977611995, 0.22345551411371772, 0.22343504398360506, 0.22341491364863797, 0.22339511746699098, 0.22337564989057124, 0.22335650546345862, 0.2233376788203721, 0.2233191646851618, 0.22330095786932616, 0.22328305327055387, 0.22326544587128994, 0.22324813073732627, 0.22323110301641505, 0.2232143579369058, 0.22319789080640492, 0.22318169701045767, 0.2231657720112521, 0.22315011134634452, 0.2231347106274066, 0.22311956553899293, 0.22310467183732907, 0.2230900253491203, 0.22307562197037997, 0.22306145766527694, 0.22304752846500311, 0.22303383046665923, 0.22302035983215898, 0.22300711278715238, 0.22299408561996592, 0.22298127468056106, 0.22296867637951, 0.22295628718698848, 0.22294410363178493, 0.2229321223003269, 0.22292033983572293, 0.22290875293682094, 0.22289735835728192, 0.2228861529046693, 0.22287513343955323, 0.2228642968746301, 0.2228536401738564, 0.22284316035159685, 0.22283285447178747, 0.22282271964711164, 0.22281275303819056, 0.22280295185278676, 0.22279331334502095, 0.22278383481460215, 0.22277451360607045, 0.222765347108052, 0.22275633275252707, 0.22274746801410983, 0.2227387504093402, 0.22273017749598753, 0.222721746872366, 0.22271345617666088, 0.22270530308626657, 0.22269728531713548, 0.22268940062313744, 0.2226816467954302, 0.22267402166184005, 0.22266652308625304, 0.222659148968016, 0.2226518972413476, 0.22264476587475956, 0.2226377528704869, 0.22263085626392803, 0.22262407412309415, 0.2226174045480677, 0.22261084567046954, 0.22260439565293563, 0.22259805268860192, 0.2225918150005978, 0.22258568084154828, 0.22257964849308398, 0.22257371626535985, 0.22256788249658124, 0.22256214555253845, 0.22255650382614858, 0.22255095573700515, 0.22254549973093518, 0.2225401342795638, 0.2225348578798857, 0.222529669053844, 0.22252456634791615, 0.22251954833270657, 0.22251461360254607, 0.2225097607750978, 0.2225049884909702, 0.22250029541333582, 0.2224956802275569, 0.2224911416408167, 0.2224866783817577, 0.22248228920012486, 0.22247797286641563, 0.2224737281715353, 0.22246955392645826, 0.22246544896189482, 0.22246141212796353, 0.22245744229386918, 0.22245353834758566, 0.2224496991955447, 0.22244592376232916, 0.222442210990372, 0.22243855983965977, 0.2224349692874413, 0.22243143832794116, 0.22242796597207776, 0.2224245512471864, 0.22242119319674666, 0.22241789088011443, 0.22241464337225825, 0.22241144976350036, 0.22240830915926169, 0.22240522067981128, 0.22240218346001986, 0.22239919664911728, 0.22239625941045446, 0.2223933709212688, 0.22239053037245357, 0.2223877369683315, 0.22238498992643177, 0.2223822884772706, 0.222379631864136, 0.2223770193428756, 0.22237445018168814, 0.22237192366091849, 0.22236943907285617, 0.22236699572153684, 0.2223645929225476, 0.22236223000283506 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 0, 1.4634175448996252, 2.659136225959244, 3.636125444940502, 4.434396768392391, 5.086642559303063, 5.619574858463034, 6.055019348018705, 6.4108091993436735, 6.7015154118278675, 6.9390435528419765, 7.1331213377351546, 7.291697018192342, 7.4212648945275985, 7.527131282927305, 7.6136318300521015, 7.684309074888666, 7.742057529710358, 7.789242221784936, 7.8277955505804355, 7.859296427154233, 7.885034936795805, 7.9060651731137455, 7.9232484073315534, 7.937288360745304, 7.948760024889648, 7.958133209711737, 7.965791784143798, 7.972049397051759, 7.977162322394882, 7.981339954656393, 7.98475338437445, 7.987542404975297, 7.989821237866099, 7.991683210252614, 7.993204577256811, 7.688448006047447, 7.410914440099615, 7.156477957192753, 6.921774504975666, 6.7040524580940355, 6.501053196878374, 6.310915580915259, 6.132099460335819, 5.963324369572512, 5.803520340190725, 5.651788396075235, 5.507368790823644, 5.369615441143346, 5.237975322921107, 5.111971845377298, 4.991191416667074, 4.875272571964501, 4.763897160765961, 4.656783190440982, 4.553679003139487, 4.454358527153813, 4.358617395000535, 4.266269761427821, 4.177145687333248, 4.091088981838021, 4.0079554158148065, 3.927611237051819, 3.8499319307870374, 3.7748011802286943, 3.7021099904218233, 3.6317559458503164, 3.563642577818958, 3.4976788222119684, 3.4337785518912027, 3.3718601709526155, 3.311846260443566, 3.253663267068039, 3.197241227961816, 3.1425135258770682, 3.089416670133789, 3.0378900995204643, 2.987876003995701, 2.9393191625863966, 2.892166795320521, 2.8463684273932577, 2.8018757640596568, 2.758642574987888, 2.7166245870046644, 2.6757793843267206, 2.636066315506008, 2.597446406426792, 2.5598822787844946, 2.5233380735523583, 2.4877793790056577, 2.4531731629265505, 2.419487708657576, 2.3866925547097875, 2.354758437663766, 2.3236572381293246, 2.293361929553321, 2.2638465296853947, 2.235086054529098, 2.2070564746213033, 2.179734673496241, 2.1530984082024056, 2.127126271751087, 2.1017976573846093, 2.0770927245607425, 2.052992366557217, 2.029478179607062, 2.006532433481562, 1.9841380434432394, 1.9622785434962713, 1.9409380608664326, 1.9201012916468703, 1.8997534775499525, 1.879880383709009, 1.8604682774771382, 1.8415039081733238, 1.8229744877289749, 1.8048676721906667, 1.7871715440373366, 1.769874595272506, 1.7529657112542485, 1.7364341552276652, 1.7202695535264934, 1.7044618814122718, 1.6890014495211252, 1.6738788908898157, 1.659085148534159, 1.6446114635542848, 1.6304493637425381, 1.6165906526710139, 1.6030273992368995, 1.5897519276448648, 1.576756807806785, 1.564034846140039, 1.5515790767465507, 1.5393827529555986, 1.5274393392142516, 1.5157425033100527, 1.5042861089113093, 1.4930642084110501, 1.4820710360613627, 1.471301001385452, 1.4607486828553462, 1.4504088218237563, 1.4402763166991088, 1.4303462173532853, 1.4206137197520905, 1.4110741607989181, 1.4017230133825205, 1.3925558816202057, 1.3835684962881645, 1.3747567104310288, 1.366116495143091, 1.3576439355139625, 1.349335226731782, 1.3411866703373747, 1.3331946706230595, 1.3253557311700936, 1.317666451518984, 1.310123523967171, 1.302723730488813, 1.295463939771651, 1.2883411043661182, 1.281352257942113, 1.2744945126490073, 1.2677650565746879, 1.2611611512995924, 1.254680129541873, 1.2483193928900067, 1.2420764096192916, 1.235948712588871, 1.2299338972160136, 1.2240296195245697, 1.218233594264615, 1.2125435931004374, 1.206957442864144, 1.2014730238722742, 1.1960882683029108, 1.190801158630903, 1.1856097261188916, 1.1805120493619428, 1.1755062528836813, 1.1705905057819002, 1.1657630204217078, 1.1610220511743585, 1.1563658931999858, 1.1517928812725309, 1.1473013886452323, 1.1428898259551057, 1.1385566401649105, 1.1343003135411667, 1.1301193626668264, 1.1260123374872897, 1.1219778203884765, 1.1180144253057442, 1.1141207968624809, 1.1102956095372414, 1.1065375668583615, 1.1028454006250066, 1.0992178701536657, 1.0956537615491402, 1.0921518869991127, 1.0887110840914196, 1.0853302151531836, 1.082008166611001, 1.0787438483714051, 1.0755361932208662, 1.0723841562446061, 1.0692867142635467, 1.0662428652887297, 1.0632516279925797, 1.0603120411963916, 1.0574231633734719, 1.0545840721673647, 1.0517938639246223, 1.0490516532416088, 1.0463565725248356, 1.0437077715643495, 1.0411044171197188, 1.0385456925181675, 1.0360307972644445, 1.0335589466620094, 1.0311293714451504, 1.028741317421653, 1.0263940451256577, 1.02408682948036, 1.0218189594702165, 1.0195897378223346, 1.017398480696735, 1.0152445173851885, 1.0131271900183452, 1.0110458532808717, 1.008999874134338, 1.0069886315475929, 1.005011516234387, 1.0030679303980001, 1.0011572874826562, 0.9992790119314892, 0.9974325389508644, 0.9956173142808455, 0.9938327939716094, 0.9920784441656221, 0.9903537408853965, 0.9886581698266494, 0.9869912261566981, 0.9853524143179277, 0.9837412478361722, 0.982157249133863, 0.9805999493477947, 0.9790688881513683, 0.9775636135811789, 0.9760836818678157, 0.9746286572707443, 0.9731981119171594, 0.9717916256446806, 0.9704087858477831, 0.9690491873278552, 0.9677124321467719, 0.9663981294838906, 0.9651058954963612, 0.9638353531826658, 0.9625861322492878, 0.9613578689804275, 0.9601502061106759, 0.9589627927005647, 0.9577952840149131, 0.9566473414038947, 0.9555186321867487, 0.9544088295380623, 0.9533176123765602, 0.952244665256325, 0.9511896782603905, 0.950152346896643, 0.9491323719959661, 0.9481294596125761, 0.9471433209264847, 0.9461736721480363, 0.945220234424469, 0.9442827337484415, 0.9433609008684825, 0.9424544712013049, 0.9415631847459494, 0.9406867859997006, 0.9398250238757383, 0.9389776516224783, 0.938144426744561, 0.9373251109254493, 0.9365194699515952, 0.9357272736381351, 0.9349482957560823, 0.9341823139609752, 0.9334291097229518, 0.9326884682582104, 0.931960178461831, 0.93124403284192, 0.9305398274550503, 0.9298473618429655, 0.9291664389705202, 0.9284968651648272, 0.9278384500555844, 0.9271910065165548, 0.9265543506081744, 0.9259283015212595, 0.9253126815217937, 0.9247073158967678, 0.9241120329010495, 0.9235266637052587, 0.9229510423446315, 0.9223850056688482, 0.9218283932927999, 0.9212810475482843, 0.9207428134366005, 0.9202135385820288, 0.919693073186176, 0.9191812699831673, 0.9186779841956677, 0.9181830734917146, 0.917696397942345, 0.9172178199800024, 0.9167472043577037, 0.9162844181089561, 0.9158293305084005, 0.9153818130331765, 0.9149417393249846, 0.9145089851528408, 0.9140834283765003, 0.913664948910544, 0.9132534286891123, 0.9128487516312721, 0.9124508036070059, 0.9120594724038099, 0.9116746476938902, 0.911296221001943, 0.9109240856735111, 0.910558136843903, 0.9101982714076606, 0.9098443879885746, 0.909496386910224, 0.909154170167042, 0.9088176413958888, 0.9084867058481277, 0.9081612703621912, 0.9078412433366294, 0.9075265347036326, 0.9072170559030169, 0.9069127198566643, 0.9066134409434121, 0.9063191349743779, 0.9060297191687161, 0.9057451121297975, 0.9054652338218013, 0.9051900055467161, 0.9049193499217376, 0.9046531908570591, 0.9043914535340483, 0.9041340643837993, 0.903880951066056, 0.9036320424484998, 0.9033872685863941, 0.90314656070258, 0.9029098511678157, 0.9026770734814554, 0.9024481622524576, 0.9022230531807222, 0.9020016830387472, 0.9017839896535982, 0.9015699118891887, 0.9013593896288625, 0.9011523637582743, 0.9009487761485631, 0.9007485696398115, 0.9005516880247901, 0.9003580760329761, 0.9001676793148458, 0.899980444426434, 0.8997963188141573, 0.8996152507998934, 0.8994371895663165, 0.8992620851424789, 0.8990898883896409, 0.8989205509873376, 0.8987540254196844, 0.898590264961914, 0.8984292236671406, 0.8982708563533492, 0.8981151185906042, 0.8979619666884758, 0.8978113576836769, 0.8976632493279112, 0.8975176000759242, 0.8973743690737579, 0.8972335161472025, 0.8970950017904431, 0.8969587871548991, 0.8968248340382491, 0.8966931048736434, 0.8965635627190963, 0.896436171247058, 0.8963108947341621, 0.8961876980511444, 0.8960665466529323, 0.8959474065689006, 0.8958302443932908, 0.8957150272757923, 0.8956017229122798, 0.8954902995357082, 0.895380725907159, 0.8952729713070391, 0.8951670055264237, 0.8950627988585472, 0.8949603220904367, 0.894859546494684, 0.8947604438213566, 0.8946629862900441, 0.8945671465820384, 0.894472897832644, 0.8943802136236167, 0.8942890679757299, 0.8941994353414656, 0.8941112905978257, 0.8940246090392658, 0.8939393663707459, 0.8938555387008971, 0.8937731025353043, 0.8936920347698981, 0.8936123126844608, 0.8935339139362375, 0.893456816553657, 0.8933809989301553, 0.8933064398181026, 0.8932331183228327, 0.8931610138967715, 0.893090106333663, 0.8930203757628935, 0.8929518026439073, 0.8928843677607192, 0.8928180522165158, 0.8927528374283487, 0.8926887051219141, 0.8926256373264227, 0.8925636163695512, 0.8925026248724812, 0.8924426457450192, 0.8923836621807988, 0.8923256576525618, 0.8922686159075182, 0.8922125209627845, 0.892157357100898, 0.8921031088654039, 0.8920497610565171, 0.8919972987268582, 0.8919457071772561, 0.891894971952625, 0.8918450788379081, 0.8917960138540877, 0.8917477632542631, 0.891700313519795, 0.891653651356511, 0.8916077636909768, 0.8915626376668288, 0.8915182606411665, 0.8914746201810073, 0.8914317040597984, 0.8913895002539869, 0.8913479969396476, 0.8913071824891675, 0.8912670454679835, 0.8912275746313759, 0.8911887589213155, 0.8911505874633614, 0.891113049563612, 0.891076134705707, 0.8910398325478769, 0.8910041329200441, 0.8909690258209715, 0.8909345014154572, 0.8909005500315779, 0.8908671621579773, 0.8908343284411976, 0.8908020396830588, 0.8907702868380797, 0.8907390610109418, 0.890708353453996, 0.8906781555648092, 0.8906484588837541, 0.8906192550916368, 0.8905905360073653, 0.8905622935856558, 0.8905345199147777, 0.890507207214337, 0.8904803478330929, 0.8904539342468163, 0.890427959056178, 0.8904024149846778, 0.8903772948766013, 0.8903525916950179, 0.890328298519807, 0.8903044085457177, 0.8902809150804633, 0.8902578115428448, 0.8902350914609062, 0.8902127484701212, 0.8901907763116098, 0.8901691688303834, 0.8901479199736211, 0.8901270237889728, 0.8901064744228905, 0.8900862661189896, 0.8900663932164349, 0.8900468501483536, 0.8900276314402769, 0.8900087317086047, 0.8899901456590973, 0.8899718680853924, 0.8899538938675455, 0.8899362179705967, 0.8899188354431578, 0.8899017414160262, 0.8898849311008205, 0.8898683997886383, 0.8898521428487378, 0.8898361557272393, 0.8898204339458494, 0.8898049731006062, 0.8897897688606462, 0.88977481696699, 0.8897601132313498, 0.8897456535349547, 0.8897314338273975, 0.8897174501255003, 0.889703698512197, 0.8896901751354385, 0.8896768762071103, 0.8896637980019739, 0.8896509368566211, 0.8896382891684486, 0.8896258513946491, 0.8896136200512178, 0.8896015917119766, 0.8895897630076149, 0.8895781306247442, 0.8895666913049717, 0.8895554418439858, 0.8895443790906593, 0.8895334999461667, 0.8895228013631151, 0.889512280344692, 0.8895019339438237, 0.8894917592623515, 0.8894817534502192, 0.8894719137046744, 0.8894622372694836, 0.88945272143416, 0.8894433635332041, 0.8894341609453562, 0.8894251110928647, 0.8894162114407608, 0.8894074594961497, 0.8893988528075133, 0.8893903889640213 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.7, "x1": 0.7, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`;
notice the syphoning off of `B` and the resumed advance of the reaction that consumes `A`.
Concentration as a function of time of all chemicals at bin 4" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at the central bin 4\n", "bio.plot_history_single_bin(bin_address=4, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the syphoning off of `B` and the resumed advance of the reaction that consumes `A`.\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "5f03f7a6-b3e4-400f-8de9-999a7b98930e", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5.5859067307473534e-05, 0.0004650908886795547, 0.0014566301898969287, 0.003127549648243317, 0.005491909702345643, 0.008513820805048982, 0.012129523585545515, 0.016261873937549524, 0.020829613243097362, 0.02575309045546996, 0.030957598109939876, 0.03637512820082226, 0.04194510323489298, 0.047614461972223444, 0.053337356545917494, 0.059074632262053034, 0.06479320236666437, 0.07046538958143254, 0.07606827869347825, 0.08158310600476885, 0.08699469922863408, 0.09229097351283308, 0.09746248430209642, 0.10250203477270065, 0.10740433391380064, 0.11216570053685074, 0.11678380825169982, 0.1212574665429975, 0.1255864333708018, 0.12977125511077167, 0.13381313008151244, 0.13771379234173373, 0.141475412855415, 0.1451005155068749, 0.1485919057938207, 0.15195261033364524, 0.15518582558748348, 0.15829487444035473, 0.16128316947732546, 0.16415418196852746, 0.16691141572353785, 0.1695583851013575, 0.1720985965690393, 0.1745355332926093, 0.17687264232069216, 0.1791133239862646, 0.1812609232070156, 0.18331872241143135, 0.18528993585724668, 0.18717770514243695, 0.18898509573739614, 0.19071509439115555, 0.19237060728511143, 0.19395445882530657, 0.19546939097932656, 0.19691806307671794, 0.19830305200284978, 0.1996268527255938, 0.2008918791023371, 0.20210046492185063, 0.20325486514159247, 0.20435725728625823, 0.2054097429779297, 0.20641434957210678, 0.20737303187732983, 0.2082876739390762, 0.20916009087120846, 0.2099920307205177, 0.21078517635187935, 0.2115411473432714, 0.21226150188141354, 0.21294773865011582, 0.21360129870457947, 0.21422356732591613, 0.21481587585103865, 0.21537950347386148, 0.21591567901443193, 0.21642558265321632, 0.21691034762828898, 0.21737106189363414, 0.21780876973717175, 0.21822447335747217, 0.21861913439842792, 0.2189936754414212, 0.21934898145475404, 0.2196859012003108, 0.22000524859759588, 0.22030780404543607, 0.22059431570176768, 0.2208655007220347, 0.2211220464568168, 0.22136461160938262, 0.22159382735392785, 0.22181029841531083, 0.22201460411113808, 0.2222072993570881, 0.22238891563638596, 0.2225599619343594, 0.22272092563902016, 0.2228722734086217, 0.22301445200714626, 0.2231478891086728, 0.22327299407157403, 0.22339015868348086, 0.2234997578779434, 0.22360215042370502, 0.2236976795874907, 0.22378667377119643, 0.22386944712434745, 0.2239463001326765, 0.22401752018365248, 0.2240833821097715, 0.22414414871040106, 0.2242000712529478, 0.22425138995409896, 0.22429833444186487, 0.22434112419913071, 0.2243799689894039, 0.22441506926542262, 0.22444661656126907, 0.22447479386861433, 0.22449977599769666, 0.22452172992361855, 0.22454081511852708, 0.22455718387022358, 0.22457098158772903, 0.22458234709431454, 0.22459141290848728, 0.22459830551340496, 0.22460314561517628, 0.22460604839048637, 0.2246071237239714, 0.22460647643575135, 0.2246042064995128, 0.22460040925152194, 0.22459517559093103, 0.224588592171729, 0.22458074158667451, 0.2245717025435347, 0.22456155003394251, 0.22455035549517186, 0.22453818696511982, 0.2245251092307724, 0.2245111839704206, 0.22449646988988223, 0.22448102285297594, 0.22446489600648323, 0.22444813989982523, 0.22443080259967213, 0.2244129297996948, 0.2243945649256584, 0.22437574923605164, 0.22435652191843614, 0.22433692018169404, 0.2243169793443435, 0.2242967329190857, 0.22427621269374157, 0.22425544880872636, 0.2242344698312087, 0.22421330282609117, 0.22419197342394645, 0.22417050588603524, 0.2241489231665292, 0.22412724697205555, 0.22410549781867584, 0.224083695086407, 0.2240618570713873, 0.2240400010357871, 0.22401814325555905, 0.22399629906611834, 0.22397448290604133, 0.22395270835886497, 0.22393098819306886, 0.22390933440031502, 0.22388775823202028, 0.22386627023433164, 0.22384488028157212, 0.22382359760822249, 0.22380243083949988, 0.2237813880205946, 0.22376047664462023, 0.22373970367933346, 0.22371907559267548, 0.2236985983771844, 0.223678277573328, 0.22365811829180218, 0.2236381252348393, 0.22361830271656932, 0.22359865468247364, 0.22357918472797042, 0.22355989611616936, 0.22354079179483083, 0.22352187441256377, 0.22350314633429508, 0.22348460965604158, 0.22346626621901508, 0.22344811762308894, 0.22343016523965306, 0.22341241022388522, 0.2233948535264621, 0.22337749590473613, 0.22336033793339927, 0.22334338001465776, 0.2233266223879379, 0.22331006513914345, 0.22329370820948483, 0.22327755140389732, 0.2232615943990677, 0.2232458367510851, 0.22323027790273384, 0.22321491719044212, 0.22319975385090352, 0.22318478702738404, 0.2231700157757295, 0.22315543907008617, 0.22314105580834667, 0.22312686481733449, 0.2231128648577375, 0.22309905462880153, 0.22308543277279597, 0.22307199787925983, 0.22305874848903867, 0.22304568309812245, 0.2230328001612917, 0.22302009809558163, 0.2230075752835718, 0.22299523007650973, 0.22298306079727503, 0.22297106574319173, 0.2229592431886958, 0.22294759138786413, 0.222936108576811, 0.2229247929759589, 0.2229136427921876, 0.2229026562208696, 0.22289183144779498, 0.22288116665099134, 0.22287066000244443, 0.22286030966972264, 0.22285011381751066, 0.2228400706090568, 0.22283017820753673, 0.22282043477733907, 0.2228108384852752, 0.22280138750171713, 0.22279208000166772, 0.22278291416576507, 0.22277388818122487, 0.2227650002427239, 0.22275624855322665, 0.22274763132475917, 0.22273914677913056, 0.22273079314860686, 0.22272256867653817, 0.22271447161794192, 0.2227065002400438, 0.22269865282277945, 0.22269092765925788, 0.2226833230561888, 0.22267583733427576, 0.22266846882857713, 0.22266121588883547, 0.22265407687977834, 0.22264705018139044, 0.22264013418916015, 0.22263332731430055, 0.2226266279839464, 0.22262003464132926, 0.2226135457459308, 0.22260715977361598, 0.22260087521674693, 0.22259469058427933, 0.22258860440184092, 0.22258261521179407, 0.2225767215732833, 0.22257092206226814, 0.22256521527154213, 0.2225595998107395, 0.22255407430632942, 0.22254863740159864, 0.2225432877566238, 0.22253802404823347, 0.22253284496996065, 0.22252774923198632, 0.2225227355610749, 0.22251780270050173, 0.222512949409973, 0.22250817446553933, 0.22250347665950274, 0.22249885480031745, 0.2224943077124853, 0.2224898342364465, 0.22248543322846479, 0.22248110356050876, 0.22247684412012914, 0.22247265381033152, 0.22246853154944699, 0.2224644762709984, 0.22246048692356454, 0.22245656247064108, 0.22245270189049962, 0.22244890417604454, 0.22244516833466782, 0.22244149338810185, 0.22243787837227147, 0.2224343223371443, 0.2224308243465798, 0.22242738347817748, 0.2224239988231246, 0.2224206694860428, 0.22241739458483462, 0.22241417325052923, 0.2224110046271283, 0.22240788787145171, 0.222404822152983, 0.22240180665371517, 0.22239884056799672, 0.22239592310237763, 0.22239305347545646, 0.222390230917727, 0.2223874546714263, 0.22238472399038267, 0.22238203813986507, 0.22237939639643253, 0.22237679804778504, 0.22237424239261494, 0.2223717287404592, 0.222369256411553, 0.22236682473668426, 0.22236443305704887, 0.22236208072410765, 0.22235976709944374, 0.22235749155462192, 0.2223552534710484, 0.22235305223983245, 0.2223508872616493, 0.2223487579466033, 0.22234666371409387, 0.22234460399268186, 0.2223425782199573, 0.2223405858424089, 0.22233862631529455, 0.22233669910251305, 0.22233480367647818, 0.22233293951799274, 0.22233110611612525, 0.22232930296808717, 0.22232752957911225, 0.22232578546233675, 0.22232407013868133, 0.22232238313673408, 0.22232072399263558, 0.22231909224996468, 0.22231748745962604, 0.22231590917973912, 0.2223143569755284, 0.22231283041921482, 0.22231132908990967, 0.22230985257350794, 0.22230840046258518, 0.2223069723562941, 0.2223055678602634, 0.2223041865864978, 0.22230282815327918, 0.22230149218506912, 0.22230017831241333, 0.22229888617184634, 0.22229761540579862, 0.22229636566250405, 0.2222951365959094, 0.22229392786558466, 0.2222927391366348, 0.22229157007961267, 0.22229042037043334, 0.22228928969028935, 0.22228817772556764, 0.22228708416776727, 0.22228600871341844, 0.22228495106400278, 0.22228391092587463, 0.22228288801018395, 0.22228188203279958, 0.2222808927142344, 0.22227991977957104, 0.222278962958389, 0.222278021984693, 0.22227709659684178, 0.2222761865374788, 0.22227529155346318, 0.2222744113958024, 0.22227354581958533, 0.22227269458391702, 0.22227185745185382, 0.22227103419033986, 0.2222702245701443, 0.2222694283657999, 0.222268645355542, 0.22226787532124898, 0.22226711804838298, 0.22226637332593266, 0.22226564094635518, 0.22226492070552079, 0.22226421240265723, 0.22226351584029522, 0.22226283082421505, 0.22226215716339354, 0.2222614946699525, 0.2222608431591072, 0.22226020244911654, 0.22225957236123287, 0.22225895271965382, 0.22225834335147407, 0.22225774408663837, 0.22225715475789465, 0.22225657520074873, 0.2222560052534189, 0.2222554447567922, 0.22225489355438005, 0.2222543514922761, 0.22225381841911365, 0.2222532941860241, 0.22225277864659618, 0.22225227165683575, 0.22225177307512614, 0.2222512827621892, 0.22225080058104724, 0.2222503263969849, 0.22224986007751235, 0.2222494014923288, 0.22224895051328644, 0.22224850701435514, 0.22224807087158774, 0.22224764196308594, 0.22224722016896636, 0.22224680537132777, 0.22224639745421831, 0.22224599630360345, 0.2222456018073345, 0.22224521385511764, 0.22224483233848352, 0.22224445715075697, 0.22224408818702746, 0.22224372534412035, 0.22224336852056814, 0.22224301761658236, 0.22224267253402596, 0.2222423331763859, 0.2222419994487468, 0.22224167125776412, 0.22224134851163863, 0.22224103112009083, 0.2222407189943358, 0.22224041204705863, 0.22224011019239026, 0.22223981334588344, 0.22223952142448933, 0.2222392343465345, 0.2222389520316982, 0.22223867440098993, 0.22223840137672762, 0.22223813288251595, 0.2222378688432252, 0.22223760918497015, 0.22223735383508958, 0.22223710272212613, 0.2222368557758066, 0.2222366129270218, 0.2222363741078078, 0.2222361392513271, 0.2222359082918495, 0.22223568116473424, 0.22223545780641174, 0.22223523815436597, 0.22223502214711707, 0.22223480972420415, 0.22223460082616853, 0.222234395394537, 0.2222341933718056, 0.22223399470142371, 0.222233799327778, 0.22223360719617727, 0.22223341825283685, 0.2222332324448638, 0.2222330497202421, 0.22223287002781814, 0.22223269331728648, 0.22223251953917567, 0.2222323486448346, 0.2222321805864188, 0.22223201531687733, 0.22223185278993932, 0.22223169296010115, 0.22223153578261381, 0.2222313812134704, 0.2222312292093938, 0.22223107972782472, 0.2222309327269094, 0.22223078816548847, 0.22223064600308504, 0.22223050619989362, 0.22223036871676885, 0.22223023351521473, 0.2222301005573736, 0.22222996980601595, 0.22222984122452952, 0.22222971477690945, 0.22222959042774826, 0.22222946814222552, 0.22222934788609858, 0.2222292296256927, 0.22222911332789175, 0.22222899896012907, 0.22222888649037806, 0.22222877588714357, 0.22222866711945274, 0.2222285601568466, 0.2222284549693716, 0.22222835152757103, 0.22222824980247682, 0.22222814976560137, 0.22222805138892987, 0.22222795464491243, 0.2222278595064559 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0026874335007449515, 0.010457020058837538, 0.02214803582112052, 0.03686717280453007, 0.053919562929452484, 0.07275878768747597, 0.09295051911080489, 0.11414595739779804, 0.13606231871347133, 0.15846840576357035, 0.18117385145087858, 0.20402102510349907, 0.22687887643676835, 0.24963819682426, 0.27220792371058794, 0.2945122186447469, 0.3164881242949696, 0.33808365940583973, 0.35925624904539233, 0.37997141500638265, 0.4002016709769147, 0.41992558130051966, 0.4391269523900254, 0.4577941332750613, 0.4759194071574997, 0.49349845979846635, 0.5105299134752405, 0.5270149174187889, 0.542956787281022, 0.5583606874333287, 0.5732333508700735, 0.5875828322576839, 0.6014182902853316, 0.6147497959753642, 0.6275881640280024, 0.6399448046252085, 0.651831593417382, 0.6632607576741211, 0.6742447768044837, 0.6847962956487677, 0.6949280491172336, 0.7046527969048577, 0.7139832671478105, 0.72293210800911, 0.7315118462896015, 0.7397348522575561, 0.747613309977061, 0.7551591924931156, 0.7623842413008795, 0.7692999495887585, 0.7759175488006679, 0.782247998112598, 0.7883019764631127, 0.7940898768171841, 0.7996218023783123, 0.8049075644956204, 0.8099566820409552, 0.8147783820563244, 0.8193816014945767, 0.8237749898963715, 0.8279669128644386, 0.8319654562121565, 0.8357784306777407, 0.8394133771080631, 0.8428775720274571, 0.8461780335169616, 0.849321527338448, 0.8523145732460801, 0.8551634514346812, 0.8578742090809282, 0.8604526669389209, 0.8629044259566991, 0.8652348738847295, 0.8674491918513407, 0.8695523608836052, 0.8715491683552774, 0.8734442143461612, 0.8752419178997344, 0.8769465231680167, 0.8785621054345858, 0.8800925770083415, 0.8815416929821012, 0.8829130568514326, 0.8842101259902776, 0.885436216980933, 0.8865945107968479, 0.8876880578374609, 0.8887197828149818, 0.8896924894936022, 0.8906088652821244, 0.8914714856814313, 0.8922828185885936, 0.8930452284597227, 0.8937609803339409, 0.8944322437210682, 0.8950610963558006, 0.8956495278213061, 0.8961994430452805, 0.8967126656715974, 0.8971909413107478, 0.8976359406723208, 0.898049262582792, 0.8984324368919073, 0.8987869272709441, 0.8991141339061169, 0.899415396090369, 0.8996919947167625, 0.8999451546766312, 0.9001760471656174, 0.9003857919006566, 0.9005754592509212, 0.9007460722856653, 0.900898608741853, 0.9010340029143845, 0.9011531474716622, 0.9012568951991687, 0.9013460606736647, 0.9014214218705279, 0.9014837217066966, 0.9015336695215996, 0.9015719424983859, 0.9015991870276978, 0.9016160200161552, 0.9016230301416556, 0.9016207790575198, 0.9016098025474512, 0.9015906116332063, 0.9015636936368113, 0.9015295131990961, 0.9014885132562546, 0.9014411159760789, 0.9013877236554615, 0.9013287195806917, 0.9012644688520307, 0.9011953191739828, 0.9011216016126342, 0.9010436313213829, 0.9009617082363235, 0.9008761177425162, 0.90078713131231, 0.9006950071168562, 0.9005999906118959, 0.9005023150988736, 0.9004022022623756, 0.9002998626848658, 0.900195496339645, 0.900089293062926, 0.8999814330058854, 0.8998720870675119, 0.8997614173090444, 0.899649577350762, 0.8995367127518495, 0.8994229613740443, 0.8993084537297358, 0.8991933133151621, 0.8990776569293233, 0.8989615949792071, 0.8988452317718957, 0.8987286657941037, 0.8986119899796697, 0.8984952919655074, 0.8983786543364968, 0.8982621548597839, 0.8981458667089286, 0.8980298586783294, 0.8979141953883351, 0.897798937481432, 0.897684141809887, 0.8975698616152039, 0.8974561466997403, 0.897343043590815, 0.8972305956976255, 0.8971188434612781, 0.8970078244982244, 0.8968975737373823, 0.8967881235512108, 0.8966795038809956, 0.8965717423565894, 0.8964648644108495, 0.896358893388989, 0.896253850653068, 0.8961497556818258, 0.896046626166058, 0.8959444780997233, 0.8958433258669704, 0.8957431823252523, 0.8956440588847018, 0.8955459655839246, 0.8954489111623668, 0.8953529031294034, 0.8952579478302862, 0.8951640505090922, 0.8950712153687975, 0.8949794456286002, 0.8948887435786168, 0.8947991106320589, 0.8947105473750042, 0.8946230536138647, 0.8945366284206524, 0.8944512701761349, 0.8943669766109812, 0.8942837448449743, 0.8942015714243846, 0.8941204523575779, 0.8940403831489384, 0.893961358831181, 0.893883373996121, 0.8938064228239702, 0.8937304991112253, 0.8936555962972091, 0.893581707489325, 0.8935088254870797, 0.8934369428049312, 0.8933660516940131, 0.893296144162784, 0.8932272119966518, 0.8931592467766161, 0.8930922398969743, 0.8930261825821347, 0.892961065902572, 0.8928968807899672, 0.8928336180515685, 0.8927712683838066, 0.8927098223851998, 0.89264927056858, 0.8925896033726689, 0.892530811173038, 0.8924728842924775, 0.8924158130107996, 0.8923595875741068, 0.8923041982035452, 0.8922496351035699, 0.8921958884697413, 0.8921429484960779, 0.8920908053819833, 0.8920394493387704, 0.8919888705957966, 0.8919390594062322, 0.891890006052479, 0.891841700851255, 0.8917941341583581, 0.8917472963731289, 0.8917011779426252, 0.8916557693655199, 0.8916110611957377, 0.8915670440458418, 0.8915237085901859, 0.8914810455678388, 0.8914390457852933, 0.8913977001189753, 0.8913569995175544, 0.8913169350040722, 0.8912774976778959, 0.891238678716505, 0.8912004693771199, 0.8911628609981808, 0.8911258450006839, 0.8910894128893838, 0.8910535562538658, 0.8910182667694992, 0.8909835361982742, 0.8909493563895297, 0.8909157192805791, 0.8908826168972382, 0.8908500413542595, 0.8908179848556815, 0.8907864396950939, 0.8907553982558251, 0.8907248530110574, 0.8906947965238712, 0.8906652214472255, 0.8906361205238753, 0.8906074865862331, 0.8905793125561747, 0.8905515914447923, 0.8905243163521032, 0.8904974804667107, 0.8904710770654242, 0.8904450995128381, 0.8904195412608759, 0.8903943958482985, 0.8903696569001817, 0.8903453181273608, 0.8903213733258525, 0.8902978163762453, 0.8902746412430702, 0.8902518419741475, 0.8902294126999157, 0.8902073476327372, 0.8901856410661909, 0.890164287374348, 0.8901432810110335, 0.8901226165090749, 0.8901022884795385, 0.8900822916109578, 0.8900626206685494, 0.8900432704934231, 0.8900242360017842, 0.8900055121841283, 0.8899870941044338, 0.8899689768993475, 0.8899511557773672, 0.8899336260180222, 0.889916382971051, 0.889899422055578, 0.8898827387592901, 0.8898663286376112, 0.8898501873128797, 0.8898343104735256, 0.8898186938732495, 0.8898033333302032, 0.889788224726174, 0.8897733640057695, 0.8897587471756094, 0.8897443703035167, 0.8897302295177171, 0.8897163210060396, 0.8897026410151226, 0.8896891858496269, 0.8896759518714504, 0.8896629354989514, 0.8896501332061759, 0.8896375415220913, 0.8896251570298254, 0.8896129763659141, 0.889600996219552, 0.8895892133318527, 0.8895776244951137, 0.8895662265520882, 0.8895550163952668, 0.8895439909661619, 0.8895331472546022, 0.8895224822980339, 0.8895119931808279, 0.889501677033596, 0.8894915310325139, 0.889481552398651, 0.8894717383973083, 0.8894620863373642, 0.8894525935706271, 0.8894432574911953, 0.8894340755348255, 0.8894250451783079, 0.8894161639388498, 0.8894074293734661, 0.8893988390783766, 0.8893903906884124, 0.8893820818764292, 0.8893739103527277, 0.8893658738644806, 0.8893579701951703, 0.8893501971640295, 0.8893425526254929, 0.8893350344686538, 0.8893276406167292, 0.8893203690265324, 0.8893132176879499, 0.8893061846234303, 0.8892992678874762, 0.8892924655661442, 0.8892857757765524, 0.8892791966663949, 0.889272726413462, 0.8892663632251679, 0.8892601053380857, 0.8892539510174878, 0.8892478985568937, 0.8892419462776234, 0.8892360925283592, 0.8892303356847115, 0.889224674148792, 0.8892191063487936, 0.8892136307385761, 0.8892082457972571, 0.8892029500288107, 0.8891977419616697, 0.8891926201483374, 0.8891875831650013, 0.8891826296111544, 0.8891777581092226, 0.8891729673041976, 0.8891682558632733, 0.8891636224754909, 0.8891590658513868, 0.8891545847226476, 0.8891501778417694, 0.8891458439817221, 0.8891415819356203, 0.889137390516397, 0.8891332685564839, 0.8891292149074979, 0.8891252284399276, 0.8891213080428308, 0.8891174526235336, 0.8891136611073321, 0.8891099324372033, 0.889106265573517, 0.8891026594937543, 0.8890991131922292, 0.8890956256798151, 0.889092195983675, 0.8890888231469977, 0.8890855062287351, 0.889082244303347, 0.8890790364605482, 0.8890758818050586, 0.8890727794563605, 0.8890697285484555, 0.8890667282296285, 0.8890637776622147, 0.8890608760223697, 0.8890580224998429, 0.8890552162977569, 0.8890524566323873, 0.8890497427329473, 0.8890470738413773, 0.8890444492121344, 0.8890418681119893, 0.8890393298198234, 0.889036833626431, 0.8890343788343229, 0.8890319647575351, 0.889029590721439, 0.889027256062556, 0.8890249601283737, 0.889022702277167, 0.8890204818778193, 0.8890182983096493, 0.8890161509622387, 0.8890140392352643, 0.8890119625383313, 0.8890099202908102, 0.8890079119216764, 0.8890059368693521, 0.88900399458155, 0.889002084515121, 0.8890002061359044, 0.888998358918578, 0.8889965423465144, 0.8889947559116369, 0.8889929991142784, 0.8889912714630429, 0.8889895724746695, 0.8889879016738975, 0.8889862585933358, 0.8889846427733313, 0.8889830537618427, 0.8889814911143147, 0.8889799543935535, 0.8889784431696063, 0.8889769570196412, 0.8889754955278301, 0.8889740582852326, 0.8889726448896826, 0.8889712549456764, 0.888969888064262, 0.888968543862932, 0.888967221965516, 0.8889659220020771, 0.8889646436088073, 0.8889633864279277, 0.888962150107588, 0.8889609343017684, 0.888959738670184, 0.8889585628781895, 0.8889574065966855, 0.8889562695020279, 0.8889551512759357, 0.8889540516054047, 0.8889529701826188, 0.8889519067048648, 0.8889508608744466, 0.8889498323986039, 0.8889488209894301, 0.8889478263637905, 0.8889468482432459, 0.8889458863539726, 0.8889449404266874, 0.8889440101965715, 0.8889430954031973, 0.8889421957904554, 0.8889413111064834, 0.8889404411035945, 0.8889395855382098, 0.8889387441707896, 0.888937916765766, 0.8889371030914786, 0.8889363029201077, 0.8889355160276128, 0.8889347421936685, 0.8889339812016037, 0.8889332328383408, 0.8889324968943357, 0.8889317731635205, 0.8889310614432445, 0.8889303615342189, 0.8889296732404599, 0.8889289963692347, 0.8889283307310076, 0.8889276761393858, 0.8889270324110697, 0.8889263993657996, 0.888925776826306, 0.8889251646182595, 0.8889245625702236, 0.8889239705136049, 0.8889233882826073, 0.8889228157141851, 0.8889222526479968, 0.8889216989263617, 0.8889211543942145, 0.8889206188990625, 0.8889200922909427, 0.8889195744223809, 0.8889190651483486, 0.8889185643262241, 0.888918071815751, 0.888917587479001, 0.8889171111803336, 0.8889166427863586, 0.8889161821658993, 0.8889157291899553, 0.8889152837316666 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.7, "x1": 0.7, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`;
notice the QUICK arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.
Concentration as a function of time of all chemicals at bin 2" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.050090168341203084, 0.9517131984828586 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at a bin CLOSE to the central bin 4\n", "bio.plot_history_single_bin(bin_address=2, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the QUICK arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.\")" ] }, { "cell_type": "code", "execution_count": 33, "id": "af67c42f-df89-4fed-93ed-ce042c0d5c7c", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.839262675339298e-09, 2.050815417850135e-07, 1.641822578436557e-06, 6.623506726896987e-06, 1.8690967914380914e-05, 4.235056139519894e-05, 8.273904101618624e-05, 0.0001453002287919939, 0.00023551017754128175, 0.00035866261570901013, 0.0005197133785884816, 0.0007231764402721159, 0.0009730620451081202, 0.001272847445264585, 0.001625471777765697, 0.002033348025044671, 0.002498386452312297, 0.00302202523193744, 0.003605265080151292, 0.004248705631489236, 0.0049525819769057995, 0.0057168003203186876, 0.00654097209664724, 0.0074244461719137214, 0.00836633893868427, 0.009365562249633667, 0.01042084921557372, 0.011530777945255057, 0.012693793332727653, 0.013908227011466335, 0.015172315598191906, 0.0164842173471134, 0.0178420273297607, 0.019243791248378293, 0.0206875179830989, 0.0221711909654656, 0.023692778463683218, 0.025250242858423286, 0.026841548982127258, 0.028464671589525647, 0.03011760202245288, 0.031798354127909705, 0.03350496948462522, 0.03523552199002275, 0.03698812185643045, 0.03876091906254319, 0.040552106303491875, 0.04235992148037447, 0.04418264976772442, 0.046018625295117785, 0.047866232476937394, 0.04972390702221229, 0.051590136654429644, 0.053463461569270156, 0.055342474656348166, 0.05722582150924094, 0.059112200246373224, 0.06100036116367818, 0.0628891062383909, 0.06477728850184077, 0.06666381129769769, 0.06854762744079315, 0.07042773829037784, 0.07230319275049461, 0.07417308620903541, 0.07603655942601101, 0.07789279738059333, 0.0797410280855855, 0.08158052137713587, 0.08341058768673247, 0.08523057680179452, 0.08703987662051073, 0.08883791190596146, 0.09062414304399614, 0.09239806480881951, 0.09415920513976506, 0.09590712393229894, 0.09764141184590075, 0.09936168913110612, 0.10106760447766698, 0.10275883388548629, 0.10443507955971396, 0.10609606883114558, 0.10774155310284544, 0.10937130682371622, 0.11098512648955997, 0.11258282967201502, 0.11416425407561115, 0.1157292566230585, 0.11727771256877316, 0.11880951464054317, 0.12032457220915069, 0.1218228104856903, 0.12330416974625563, 0.12476860458361004, 0.12621608318540575, 0.1276465866384754, 0.12906010825868308, 0.13045665294579215, 0.13183623656278476, 0.1331988853390452, 0.13454463529680807, 0.13587353170025795, 0.1371856285266609, 0.13848098795890415, 0.13975967989881605, 0.14102178150064235, 0.14226737672405385, 0.14349655590606766, 0.14470941535126963, 0.14590605693973244, 0.14708658775203318, 0.14825111971078478, 0.14939976923810463, 0.15053265692845658, 0.15164990723631425, 0.1527516481781061, 0.15383801104791475, 0.1549091301464185, 0.15596514252257399, 0.15700618772755423, 0.15803240758046908, 0.1590439459454096, 0.16004094851937084, 0.1610235626306215, 0.16199193704710255, 0.16294622179445012, 0.16388656798325107, 0.1648131276451526, 0.16572605357746073, 0.1666254991958737, 0.1675116183950103, 0.16838456541640331, 0.16924449472364156, 0.17009156088435493, 0.17092591845874708, 0.17174772189439333, 0.17255712542702972, 0.17335428298707053, 0.17413934811160234, 0.17491247386161002, 0.1756738127442025, 0.17642351663961192, 0.17716173673275196, 0.1778886234491266, 0.17860432639489124, 0.17930899430087424, 0.18000277497037573, 0.18068581523056795, 0.18135826088732712, 0.1820202566833362, 0.18267194625930247, 0.18331347211814072, 0.18394497559198003, 0.18456659681185714, 0.18517847467996507, 0.18578074684433152, 0.18637354967580747, 0.18695701824724992, 0.1875312863147895, 0.18809648630107664, 0.18865274928040657, 0.18920020496562498, 0.18973898169672337, 0.19026920643103562, 0.19079100473495028, 0.19130450077705893, 0.1918098173226631, 0.19230707572956598, 0.19279639594507816, 0.1932778965041707, 0.19375169452871077, 0.19421790572771838, 0.194676644398586, 0.19512802342920504, 0.19557215430094524, 0.1960091470924369, 0.19643911048410612, 0.19686215176341845, 0.19727837683078497, 0.19768789020608976, 0.19809079503579793, 0.1984871931006067, 0.1988771848236022, 0.19926086927888784, 0.19963834420065105, 0.20000970599263695, 0.20037504973799863, 0.2007344692094961, 0.20108805688001605, 0.20143590393338784, 0.20177810027546972, 0.20211473454548312, 0.20244589412757252, 0.20277166516256964, 0.20309213255994227, 0.20340738000990904, 0.2037174899957015, 0.2040225438059572, 0.20432262154722686, 0.20461780215658168, 0.20490816341430432, 0.2051937819566517, 0.20547473328867558, 0.20575109179708917, 0.20602293076316783, 0.2062903223756732, 0.20655333774379014, 0.20681204691006727, 0.20706651886335103, 0.20731682155170575, 0.20756302189531067, 0.2078051857993264, 0.2080433781667242, 0.2082776629110707, 0.20850810296926203, 0.2087347603142015, 0.20895769596741456, 0.20917697001159744, 0.2093926416030925, 0.20960476898428793, 0.20981340949593574, 0.21001861958938553, 0.21022045483873003, 0.21041896995285783, 0.21061421878741285, 0.21080625435665495, 0.21099512884522076, 0.21118089361978198, 0.2113635992405982, 0.21154329547296413, 0.21172003129854683, 0.21189385492661375, 0.2120648138051485, 0.21223295463185407, 0.21239832336504166, 0.2125609652344049, 0.21272092475167745, 0.21287824572117475, 0.2130329712502182, 0.21318514375944142, 0.21333480499297888, 0.21348199602853607, 0.21362675728734093, 0.2137691285439769, 0.21390914893609753, 0.21404685697402231, 0.2141822905502145, 0.21431548694864072, 0.21444648285401294, 0.2145753143609129, 0.21470201698279967, 0.21482662566090102, 0.21494917477298858, 0.21506969814203752, 0.21518822904477236, 0.21530480022009774, 0.21541944387741682, 0.21553219170483676, 0.21564307487726223, 0.21575212406437894, 0.215859369438526, 0.21596484068246005, 0.21606856699701046, 0.2161705771086279, 0.216270899276826, 0.21636956130151783, 0.21646659053024828, 0.21656201386532234, 0.2166558577708315, 0.216748148279579, 0.21683891099990402, 0.21692817112240753, 0.21701595342657917, 0.21710228228732747, 0.2171871816814137, 0.21727067519379115, 0.21735278602384991, 0.21743353699156934, 0.21751295054357875, 0.21759104875912694, 0.21766785335596292, 0.21774338569612758, 0.21781766679165826, 0.2178907173102068, 0.21796255758057254, 0.21803320759815123, 0.2181026870303007, 0.21817101522162446, 0.21823821119917453, 0.21830429367757442, 0.21836928106406317, 0.2184331914634615, 0.2184960426830617, 0.21855785223744104, 0.21861863735320136, 0.21867841497363433, 0.2187372017633144, 0.21879501411262003, 0.21885186814218435, 0.21890777970727598, 0.21896276440211146, 0.21901683756409948, 0.2190700142780193, 0.21912230938013208, 0.21917373746222854, 0.21922431287561198, 0.2192740497350188, 0.2193229619224763, 0.21937106309109997, 0.21941836666883027, 0.21946488586210983, 0.21951063365950224, 0.21955562283525346, 0.21959986595279596, 0.21964337536819736, 0.21968616323355358, 0.21972824150032805, 0.21976962192263702, 0.21981031606048265, 0.2198503352829339, 0.2198896907712567, 0.21992839352199325, 0.2199664543499924, 0.2200038838913905, 0.22004069260654527, 0.22007689078292128, 0.22011248853792956, 0.22014749582172094, 0.2201819224199345, 0.2202157779564015, 0.22024907189580542, 0.22028181354629925, 0.22031401206207987, 0.2203456764459211, 0.2203768155516654, 0.22040743808667543, 0.22043755261424516, 0.22046716755597248, 0.220496291194093, 0.2205249316737756, 0.22055309700538067, 0.2205807950666821, 0.22060803360505235, 0.2206348202396122, 0.22066116246334577, 0.22068706764518023, 0.22071254303203214, 0.22073759575082047, 0.22076223281044607, 0.22078646110373962, 0.22081028740937692, 0.22083371839376337, 0.22085676061288748, 0.2208794205141439, 0.22090170443812676, 0.22092361862039372, 0.22094516919320054, 0.22096636218720794, 0.22098720353316015, 0.2210076990635356, 0.2210278545141713, 0.22104767552585966, 0.22106716764591966, 0.22108633632974217, 0.22110518694230977, 0.22112372475969144, 0.221141954970513, 0.22115988267740322, 0.2211775128984159, 0.22119485056842908, 0.221211900540521, 0.2212286675873231, 0.22124515640235104, 0.22126137160131393, 0.22127731772340178, 0.2212929992325519, 0.22130842051869407, 0.22132358589897572, 0.2213384996189666, 0.22135316585384354, 0.22136758870955603, 0.221381772223972, 0.22139572036800545, 0.22140943704672472, 0.22142292610044306, 0.22143619130579076, 0.22144923637677, 0.22146206496579202, 0.2214746806646972, 0.2214870870057584, 0.22149928746266762, 0.22151128545150642, 0.22152308433170023, 0.22153468740695703, 0.22154609792619076, 0.22155731908442858, 0.2215683540237042, 0.22157920583393573, 0.22158987755378953, 0.22160037217152917, 0.2216106926258511, 0.22162084180670566, 0.22163082255610544, 0.22164063766891928, 0.2216502898936542, 0.22165978193322342, 0.2216691164457023, 0.22167829604507164, 0.2216873233019484, 0.22169620074430474, 0.2217049308581749, 0.2217135160883505, 0.22172195883906418, 0.22173026147466215, 0.22173842632026558, 0.2217464556624208, 0.2217543517497387, 0.22176211679352426, 0.22176975296839468, 0.22177726241288787, 0.22178464723006072, 0.22179190948807764, 0.2217990512207889, 0.2218060744282999, 0.22181298107753036, 0.22181977310276543, 0.2218264524061962, 0.2218330208584523, 0.22183948029912526, 0.22184583253728327, 0.22185207935197757, 0.22185822249274015, 0.22186426368007334, 0.22187020460593151, 0.2218760469341944, 0.2218817923011328, 0.22188744231586657, 0.22189299856081499, 0.2218984625921398, 0.22190383594018034, 0.22190912010988248, 0.22191431658121943, 0.221919426809606, 0.22192445222630625, 0.221929394238834, 0.22193425423134677, 0.22193903356503342, 0.22194373357849495, 0.22194835558811943, 0.22195290088845035, 0.22195737075254923, 0.22196176643235188, 0.22196608915901886, 0.22197034014328015, 0.22197452057577438, 0.22197863162738168, 0.221982674449552, 0.22198665017462701, 0.22199055991615757, 0.22199440476921528, 0.22199818581069905, 0.22200190409963663, 0.2220055606774812, 0.2220091565684031, 0.22201269277957625, 0.22201617030146037, 0.2220195901080784, 0.22202295315728893, 0.22202626039105489, 0.22202951273570656, 0.22203271110220188, 0.2220358563863808, 0.22203894946921637, 0.22204199121706164, 0.2220449824818919, 0.22204792410154342, 0.22205081689994818, 0.22205366168736435, 0.22205645926060347, 0.22205921040325322, 0.2220619158858973, 0.22206457646633074, 0.22206719288977253, 0.22206976588907412, 0.22207229618492466, 0.22207478448605272, 0.22207723148942496, 0.2220796378804413, 0.2220820043331266, 0.22208433151031975, 0.2220866200638591, 0.2220888706347651, 0.2220910838534198, 0.22209326033974336, 0.22209540070336772, 0.2220975055438072, 0.22209957545062659, 0.22210161100360612, 0.22210361277290389, 0.22210558131921554, 0.22210751719393132, 0.22210942093929045, 0.2221112930885329, 0.22211313416604905, 0.2221149446875262, 0.22211672516009326, 0.2221184760824626, 0.2221201979450697, 0.22212189123021064, 0.2221235564121773, 0.22212519395738992, 0.22212680432452783, 0.22212838796465786, 0.22212994532136093, 0.22213147683085596, 0.22213298292212233, 0.22213446401701967, 0.2221359205304063, 0.22213735287025543, 0.2221387614377693, 0.22214014662749176, 0.22214150882741823 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 0.7600000000000006, 0.7800000000000006, 0.8000000000000006, 0.8200000000000006, 0.8400000000000006, 0.8600000000000007, 0.8800000000000007, 0.9000000000000007, 0.9200000000000007, 0.9400000000000007, 0.9600000000000007, 0.9800000000000008, 1.0000000000000007, 1.0200000000000007, 1.0400000000000007, 1.0600000000000007, 1.0800000000000007, 1.1000000000000008, 1.1200000000000008, 1.1400000000000008, 1.1600000000000008, 1.1800000000000008, 1.2000000000000008, 1.2200000000000009, 1.2400000000000009, 1.260000000000001, 1.280000000000001, 1.300000000000001, 1.320000000000001, 1.340000000000001, 1.360000000000001, 1.380000000000001, 1.400000000000001, 1.420000000000001, 1.440000000000001, 1.460000000000001, 1.480000000000001, 1.500000000000001, 1.5200000000000011, 1.5400000000000011, 1.5600000000000012, 1.5800000000000012, 1.6000000000000012, 1.6200000000000012, 1.6400000000000012, 1.6600000000000013, 1.6800000000000013, 1.7000000000000013, 1.7200000000000013, 1.7400000000000013, 1.7600000000000013, 1.7800000000000014, 1.8000000000000014, 1.8200000000000014, 1.8400000000000014, 1.8600000000000014, 1.8800000000000014, 1.9000000000000015, 1.9200000000000015, 1.9400000000000015, 1.9600000000000015, 1.9800000000000015, 2.0000000000000013, 2.019999999999999, 2.039999999999997, 2.0599999999999947, 2.0799999999999925, 2.0999999999999903, 2.119999999999988, 2.139999999999986, 2.1599999999999837, 2.1799999999999815, 2.1999999999999793, 2.219999999999977, 2.239999999999975, 2.2599999999999727, 2.2799999999999705, 2.2999999999999683, 2.319999999999966, 2.339999999999964, 2.3599999999999617, 2.3799999999999595, 2.3999999999999573, 2.419999999999955, 2.439999999999953, 2.4599999999999507, 2.4799999999999485, 2.4999999999999463, 2.519999999999944, 2.539999999999942, 2.5599999999999397, 2.5799999999999375, 2.5999999999999353, 2.619999999999933, 2.639999999999931, 2.6599999999999286, 2.6799999999999264, 2.6999999999999242, 2.719999999999922, 2.73999999999992, 2.7599999999999176, 2.7799999999999154, 2.7999999999999132, 2.819999999999911, 2.839999999999909, 2.8599999999999066, 2.8799999999999044, 2.899999999999902, 2.9199999999999, 2.939999999999898, 2.9599999999998956, 2.9799999999998934, 2.999999999999891, 3.019999999999889, 3.039999999999887, 3.0599999999998846, 3.0799999999998824, 3.09999999999988, 3.119999999999878, 3.139999999999876, 3.1599999999998736, 3.1799999999998714, 3.199999999999869, 3.219999999999867, 3.2399999999998648, 3.2599999999998626, 3.2799999999998604, 3.299999999999858, 3.319999999999856, 3.3399999999998538, 3.3599999999998515, 3.3799999999998493, 3.399999999999847, 3.419999999999845, 3.4399999999998427, 3.4599999999998405, 3.4799999999998383, 3.499999999999836, 3.519999999999834, 3.5399999999998317, 3.5599999999998295, 3.5799999999998273, 3.599999999999825, 3.619999999999823, 3.6399999999998207, 3.6599999999998185, 3.6799999999998163, 3.699999999999814, 3.719999999999812, 3.7399999999998097, 3.7599999999998075, 3.7799999999998053, 3.799999999999803, 3.819999999999801, 3.8399999999997987, 3.8599999999997965, 3.8799999999997943, 3.899999999999792, 3.91999999999979, 3.9399999999997877, 3.9599999999997855, 3.9799999999997833, 3.999999999999781, 4.019999999999779, 4.039999999999777, 4.059999999999775, 4.079999999999773, 4.0999999999997705, 4.119999999999768, 4.139999999999766, 4.159999999999764, 4.179999999999762, 4.1999999999997595, 4.219999999999757, 4.239999999999755, 4.259999999999753, 4.279999999999751, 4.2999999999997485, 4.319999999999746, 4.339999999999744, 4.359999999999742, 4.37999999999974, 4.3999999999997375, 4.419999999999735, 4.439999999999733, 4.459999999999731, 4.479999999999729, 4.499999999999726, 4.519999999999724, 4.539999999999722, 4.55999999999972, 4.579999999999718, 4.599999999999715, 4.619999999999713, 4.639999999999711, 4.659999999999709, 4.679999999999707, 4.699999999999704, 4.719999999999702, 4.7399999999997, 4.759999999999698, 4.779999999999696, 4.799999999999693, 4.819999999999691, 4.839999999999689, 4.859999999999687, 4.879999999999685, 4.899999999999682, 4.91999999999968, 4.939999999999678, 4.959999999999676, 4.979999999999674, 4.999999999999671, 5.019999999999669, 5.039999999999667, 5.059999999999665, 5.079999999999663, 5.09999999999966, 5.119999999999658, 5.139999999999656, 5.159999999999654, 5.1799999999996515, 5.199999999999649, 5.219999999999647, 5.239999999999645, 5.259999999999643, 5.2799999999996405, 5.299999999999638, 5.319999999999636, 5.339999999999634, 5.359999999999632, 5.3799999999996295, 5.399999999999627, 5.419999999999625, 5.439999999999623, 5.459999999999621, 5.4799999999996185, 5.499999999999616, 5.519999999999614, 5.539999999999612, 5.55999999999961, 5.5799999999996075, 5.599999999999605, 5.619999999999603, 5.639999999999601, 5.659999999999599, 5.6799999999995965, 5.699999999999594, 5.719999999999592, 5.73999999999959, 5.759999999999588, 5.7799999999995855, 5.799999999999583, 5.819999999999581, 5.839999999999579, 5.859999999999577, 5.8799999999995745, 5.899999999999572, 5.91999999999957, 5.939999999999568, 5.959999999999566, 5.979999999999563, 5.999999999999561, 6.019999999999559, 6.039999999999557, 6.059999999999555, 6.079999999999552, 6.09999999999955, 6.119999999999548, 6.139999999999546, 6.159999999999544, 6.179999999999541, 6.199999999999539, 6.219999999999537, 6.239999999999535, 6.259999999999533, 6.27999999999953, 6.299999999999528, 6.319999999999526, 6.339999999999524, 6.359999999999522, 6.379999999999519, 6.399999999999517, 6.419999999999515, 6.439999999999513, 6.459999999999511, 6.479999999999508, 6.499999999999506, 6.519999999999504, 6.539999999999502, 6.5599999999995, 6.579999999999497, 6.599999999999495, 6.619999999999493, 6.639999999999491, 6.6599999999994886, 6.679999999999486, 6.699999999999484, 6.719999999999482, 6.73999999999948, 6.7599999999994775, 6.779999999999475, 6.799999999999473, 6.819999999999471, 6.839999999999469, 6.8599999999994665, 6.879999999999464, 6.899999999999462, 6.91999999999946, 6.939999999999458, 6.9599999999994555, 6.979999999999453, 6.999999999999451, 7.019999999999449, 7.039999999999447, 7.0599999999994445, 7.079999999999442, 7.09999999999944, 7.119999999999438, 7.139999999999436, 7.1599999999994335, 7.179999999999431, 7.199999999999429, 7.219999999999427, 7.239999999999425, 7.2599999999994225, 7.27999999999942, 7.299999999999418, 7.319999999999416, 7.339999999999414, 7.3599999999994115, 7.379999999999409, 7.399999999999407, 7.419999999999405, 7.439999999999403, 7.4599999999994, 7.479999999999398, 7.499999999999396, 7.519999999999394, 7.539999999999392, 7.559999999999389, 7.579999999999387, 7.599999999999385, 7.619999999999383, 7.639999999999381, 7.659999999999378, 7.679999999999376, 7.699999999999374, 7.719999999999372, 7.73999999999937, 7.759999999999367, 7.779999999999365, 7.799999999999363, 7.819999999999361, 7.839999999999359, 7.859999999999356, 7.879999999999354, 7.899999999999352, 7.91999999999935, 7.939999999999348, 7.959999999999345, 7.979999999999343, 7.999999999999341, 8.019999999999348, 8.039999999999354, 8.059999999999361, 8.079999999999368, 8.099999999999374, 8.119999999999381, 8.139999999999388, 8.159999999999394, 8.179999999999401, 8.199999999999408, 8.219999999999414, 8.239999999999421, 8.259999999999428, 8.279999999999434, 8.299999999999441, 8.319999999999448, 8.339999999999455, 8.359999999999461, 8.379999999999468, 8.399999999999475, 8.419999999999481, 8.439999999999488, 8.459999999999495, 8.479999999999501, 8.499999999999508, 8.519999999999515, 8.539999999999521, 8.559999999999528, 8.579999999999535, 8.599999999999541, 8.619999999999548, 8.639999999999555, 8.659999999999561, 8.679999999999568, 8.699999999999575, 8.719999999999581, 8.739999999999588, 8.759999999999595, 8.779999999999601, 8.799999999999608, 8.819999999999615, 8.839999999999621, 8.859999999999628, 8.879999999999635, 8.899999999999642, 8.919999999999648, 8.939999999999655, 8.959999999999662, 8.979999999999668, 8.999999999999675, 9.019999999999682, 9.039999999999688, 9.059999999999695, 9.079999999999702, 9.099999999999708, 9.119999999999715, 9.139999999999722, 9.159999999999728, 9.179999999999735, 9.199999999999742, 9.219999999999748, 9.239999999999755, 9.259999999999762, 9.279999999999768, 9.299999999999775, 9.319999999999782, 9.339999999999788, 9.359999999999795, 9.379999999999802, 9.399999999999809, 9.419999999999815, 9.439999999999822, 9.459999999999829, 9.479999999999835, 9.499999999999842, 9.519999999999849, 9.539999999999855, 9.559999999999862, 9.579999999999869, 9.599999999999875, 9.619999999999882, 9.639999999999889, 9.659999999999895, 9.679999999999902, 9.699999999999909, 9.719999999999915, 9.739999999999922, 9.759999999999929, 9.779999999999935, 9.799999999999942, 9.819999999999949, 9.839999999999955, 9.859999999999962, 9.879999999999969, 9.899999999999975, 9.919999999999982, 9.939999999999989, 9.959999999999996, 9.980000000000002, 10.000000000000009, 10.020000000000016, 10.040000000000022, 10.060000000000029, 10.080000000000036, 10.100000000000042, 10.120000000000049, 10.140000000000056, 10.160000000000062, 10.180000000000069, 10.200000000000076, 10.220000000000082, 10.240000000000089, 10.260000000000096, 10.280000000000102, 10.300000000000109, 10.320000000000116, 10.340000000000122, 10.360000000000129, 10.380000000000136, 10.400000000000142, 10.42000000000015, 10.440000000000156, 10.460000000000163, 10.48000000000017, 10.500000000000176, 10.520000000000183, 10.54000000000019, 10.560000000000196, 10.580000000000203, 10.60000000000021, 10.620000000000216, 10.640000000000223, 10.66000000000023, 10.680000000000236, 10.700000000000243, 10.72000000000025, 10.740000000000256, 10.760000000000263, 10.78000000000027, 10.800000000000276, 10.820000000000283, 10.84000000000029, 10.860000000000296, 10.880000000000303, 10.90000000000031, 10.920000000000316, 10.940000000000323, 10.96000000000033, 10.980000000000336, 11.000000000000343, 11.02000000000035, 11.040000000000356, 11.060000000000363, 11.08000000000037, 11.100000000000376, 11.120000000000383, 11.14000000000039, 11.160000000000396 ], "xaxis": "x", "y": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.03420916087648e-07, 4.300344488951214e-06, 2.238331126271549e-05, 6.895034428059613e-05, 0.0001610476568438578, 0.0003170259826428165, 0.0005556859896402321, 0.0008956751701046846, 0.0013550523743070695, 0.0019509689291986462, 0.002699434931436809, 0.003615150878002849, 0.004711391499072241, 0.005999932487086416, 0.0074910130011370665, 0.009193328104273571, 0.01111404609363409, 0.013258846251164693, 0.01563197300464638, 0.018236302907397726, 0.021073421246240502, 0.024143705477848075, 0.027446413071302453, 0.030979771694267293, 0.034741070016155624, 0.038726747709718144, 0.04293248350990771, 0.047353280434593574, 0.0519835474859647, 0.05681717733556695, 0.06184761965187747, 0.0670679498595833, 0.07247093322697322, 0.07804908426478999, 0.08379472148917426, 0.0897000176554536, 0.09575704561078195, 0.10195781994408065, 0.10829433463319975, 0.11475859690330989, 0.12134265751862791, 0.12803863773285976, 0.1348387531232123, 0.1417353345293216, 0.14872084631267163, 0.1557879021446151, 0.1629292785224314, 0.17013792620335116, 0.17740697973646072, 0.18472976526211515, 0.19209980673813756, 0.19951083074181852, 0.20695676998666712, 0.21443176568309844, 0.22193016886283065, 0.2294465407777591, 0.23697565247549907, 0.2445124836456663, 0.2520522208232993, 0.25959025502861943, 0.26712217891557005, 0.2746437834952654, 0.28215105449458955, 0.2896401684047196, 0.29710748826925965, 0.30454955925697447, 0.31196310405975575, 0.3193450181524426, 0.3266923649474181, 0.3340023708734998, 0.34127242040551675, 0.3485000510680995, 0.355682948434583, 0.36281894113952085, 0.36990599592111884, 0.3769422127078938, 0.38392581976204687, 0.3908551688903817, 0.39772873073209997, 0.4045450901314423, 0.4113029416019135, 0.41800108488771814, 0.4246384206270295, 0.43121394612081426, 0.4377267512101247, 0.44417601426404674, 0.4505609982798412, 0.4568810470962423, 0.4631355817203612, 0.46932409676819015, 0.47544615701830306, 0.4815013940779922, 0.4874895031607786, 0.4934102399739622, 0.4992634177146463, 0.5050489041724755, 0.5107666189371537, 0.5164165307086694, 0.5219986547080381, 0.5275130501862678, 0.5329598180291918, 0.5383390984557381, 0.543651068807169, 0.5488959414247934, 0.5540739616136382, 0.5591854056895516, 0.5642305791072233, 0.5692098146666134, 0.5741234707952964, 0.5789719299042636, 0.5837555968147444, 0.5884748972536544, 0.5931302764153104, 0.5977221975870994, 0.6022511408368357, 0.6067176017595854, 0.6111220902817912, 0.6154651295205854, 0.6197472546962242, 0.623969012095638, 0.6281309580851466, 0.632233658170441, 0.6362776861019861, 0.6402636230240633, 0.644192056665717, 0.6480635805719277, 0.651878793373388, 0.6556382980933123, 0.6593427014897562, 0.6629926134319853, 0.6665886463094717, 0.6701314144721509, 0.6736215337006224, 0.6770596207050171, 0.680446292651313, 0.6837821667139072, 0.687067859653317, 0.6903039874179069, 0.6934911647685921, 0.6966300049255034, 0.6997211192356361, 0.7027651168605493, 0.7057626044832112, 0.7087141860331256, 0.7116204624289095, 0.7144820313375209, 0.7172994869493723, 0.7200734197685925, 0.7228044164177329, 0.7254930594562352, 0.7281399272120221, 0.7307455936255742, 0.733310628105907, 0.7358355953978709, 0.7383210554602265, 0.7407675633539693, 0.7431756691404013, 0.7455459177884673, 0.7478788490908959, 0.7501749975886985, 0.7524348925036112, 0.7546590576780674, 0.7568480115223196, 0.7590022669683358, 0.7611223314301216, 0.7632087067701233, 0.765261889271392, 0.7672823696152008, 0.7692706328638138, 0.7712271584481306, 0.7731524201599302, 0.7750468861484647, 0.776911018921147, 0.7787452753481043, 0.7805501066703717, 0.7823259585115088, 0.7840732708924397, 0.785792478249318, 0.7874840094542299, 0.7891482878385645, 0.7907857312188744, 0.7923967519250703, 0.7939817568307951, 0.7955411473858313, 0.7970753196504007, 0.7985846643312285, 0.8000695668192395, 0.801530407228769, 0.8029675604381763, 0.804381396131749, 0.8057722788427953, 0.807140567997827, 0.8084866179617378, 0.809810778083892, 0.811113392745034, 0.8123948014049435, 0.8136553386507573, 0.8148953342458877, 0.8161151131794674, 0.8173149957162572, 0.8184952974469558, 0.819656329338852, 0.8207983977867653, 0.821921804664222, 0.8230268473748207, 0.8241138189037355, 0.8251830078693178, 0.8262346985747522, 0.8272691710597291, 0.828286701152097, 0.8292875605194574, 0.8302720167206749, 0.8312403332572644, 0.832192769624634, 0.8331295813631514, 0.8340510201090113, 0.834957333644876, 0.8358487659502734, 0.8367255572517249, 0.8375879440725883, 0.8384361592825955, 0.8392704321470684, 0.8400909883757978, 0.8408980501715709, 0.8416918362783332, 0.8424725620289725, 0.8432404393927138, 0.8439956770221166, 0.8447384802996601, 0.8454690513839132, 0.8461875892552763, 0.8468942897612916, 0.8475893456615132, 0.8482729466719319, 0.8489452795089494, 0.8496065279328971, 0.8502568727910963, 0.8508964920604554, 0.8515255608896014, 0.8521442516405444, 0.8527527339298719, 0.8533511746694715, 0.8539397381067806, 0.854518585864564, 0.8550878769802192, 0.8556477679446043, 0.8561984127403964, 0.8567399628799772, 0.8572725674428444, 0.8577963731125571, 0.8583115242132076, 0.8588181627454299, 0.859316428421941, 0.8598064587026214, 0.8602883888291313, 0.8607623518590715, 0.8612284786996895, 0.8616868981411305, 0.8621377368892409, 0.8625811195979245, 0.863017168901056, 0.8634460054439549, 0.8638677479144233, 0.8642825130733507, 0.8646904157848913, 0.8650915690462143, 0.8654860840168346, 0.8658740700475259, 0.8662556347088203, 0.8666308838190993, 0.8669999214722792, 0.8673628500650957, 0.867719770323992, 0.868070781331614, 0.8684159805529187, 0.8687554638608973, 0.8690893255619174, 0.8694176584206933, 0.8697405536848825, 0.8700581011093175, 0.8703703889798722, 0.870677504136974, 0.8709795319987607, 0.8712765565838861, 0.871568660533985, 0.871855925135793, 0.8721384303429329, 0.8724162547973674, 0.872689475850526, 0.8729581695841048, 0.8732224108305511, 0.8734822731932297, 0.8737378290662802, 0.8739891496541669, 0.874236304990925, 0.8744793639591106, 0.8747183943084544, 0.8749534626742249, 0.8751846345953069, 0.8754119745319957, 0.8756355458835144, 0.8758554110052548, 0.8760716312257499, 0.8762842668633775, 0.876493377242802, 0.8766990207111568, 0.8769012546539711, 0.8771001355108434, 0.8772957187908708, 0.8774880590878271, 0.8776772100951082, 0.8778632246204332, 0.878046154600314, 0.8782260511142952, 0.8784029643989666, 0.8785769438617513, 0.878748038094473, 0.8789162948867074, 0.8790817612389205, 0.8792444833753936, 0.8794045067569435, 0.8795618760934372, 0.879716635356106, 0.8798688277896611, 0.8800184959242143, 0.8801656815870068, 0.8803104259139485, 0.8804527693609708, 0.8805927517151978, 0.8807304121059341, 0.8808657890154782, 0.8809989202897577, 0.8811298431487945, 0.8812585941969987, 0.8813852094332979, 0.8815097242610997, 0.8816321734980938, 0.8817525913858947, 0.8818710115995273, 0.8819874672567584, 0.8821019909272763, 0.8822146146417215, 0.8823253699005691, 0.8824342876828681, 0.8825413984548366, 0.8826467321783176, 0.8827503183190974, 0.8828521858550862, 0.8829523632843673, 0.8830508786331138, 0.8831477594633752, 0.8832430328807379, 0.8833367255418599, 0.8834288636618817, 0.8835194730217165, 0.8836085789752206, 0.8836962064562469, 0.8837823799855816, 0.8838671236777693, 0.8839504612478228, 0.8840324160178268, 0.8841130109234298, 0.884192268520232, 0.8842702109900665, 0.8843468601471782, 0.8844222374443012, 0.8844963639786354, 0.8845692604977269, 0.8846409474052496, 0.8847114447666923, 0.884780772314953, 0.8848489494558408, 0.8849159952734861, 0.8849819285356635, 0.8850467676990266, 0.8851105309142557, 0.8851732360311211, 0.8852349006034638, 0.8852955418940929, 0.8853551768796035, 0.8854138222551138, 0.8854714944389257, 0.8855282095771072, 0.8855839835479997, 0.8856388319666518, 0.8856927701891779, 0.8857458133170472, 0.8857979762012994, 0.8858492734466942, 0.8858997194157889, 0.8859493282329515, 0.8859981137883042, 0.8860460897416054, 0.8860932695260652, 0.8861396663520993, 0.8861852932110188, 0.8862301628786624, 0.8862742879189643, 0.8863176806874681, 0.8863603533347773, 0.8864023178099528, 0.8864435858638532, 0.886484169052419, 0.8865240787399021, 0.8865633261020446, 0.8866019221292022, 0.8866398776294168, 0.8866772032314395, 0.8867139093877012, 0.8867500063772368, 0.8867855043085578, 0.8868204131224813, 0.8868547425949084, 0.8868885023395592, 0.8869217018106617, 0.8869543503055948, 0.8869864569674906, 0.8870180307877908, 0.8870490806087626, 0.8870796151259711, 0.8871096428907137, 0.8871391723124104, 0.8871682116609573, 0.8871967690690403, 0.8872248525344112, 0.8872524699221239, 0.8872796289667367, 0.8873063372744752, 0.8873326023253609, 0.8873584314753051, 0.8873838319581662, 0.8874088108877743, 0.8874333752599232, 0.8874575319543261, 0.8874812877365421, 0.88750464925987, 0.8875276230672096, 0.8875502155928934, 0.8875724331644869, 0.8875942820045603, 0.8876157682324298, 0.8876368978658701, 0.8876576768227996, 0.8876781109229361, 0.8876982058894264, 0.8877179673504477, 0.8877374008407832, 0.8877565118033727, 0.8877753055908344, 0.8877937874669645, 0.88781196260821, 0.8878298361051187, 0.8878474129637638, 0.887864698107145, 0.8878816963765678, 0.887898412532998, 0.8879148512583945, 0.8879310171570208, 0.8879469147567339, 0.8879625485102522, 0.8879779227964004, 0.8879930419213381, 0.8880079101197641, 0.8880225315561024, 0.8880369103256676, 0.8880510504558121, 0.8880649559070546, 0.8880786305741872, 0.8880920782873672, 0.888105302813189, 0.8881183078557398, 0.8881310970576357, 0.8881436740010419, 0.8881560422086758, 0.8881682051447942, 0.8881801662161616, 0.8881919287730063, 0.8882034961099572, 0.8882148714669666, 0.8882260580302178, 0.8882370589330169, 0.8882478772566708, 0.8882585160313494, 0.888268978236935, 0.888279266803856, 0.8882893846139077, 0.8882993345010597, 0.8883091192522492, 0.8883187416081615, 0.8883282042639976, 0.8883375098702293, 0.8883466610333408, 0.888355660316559, 0.8883645102405717, 0.8883732132842328, 0.8883817718852569, 0.8883901884409025, 0.8883984653086422, 0.8884066048068238, 0.8884146092153197, 0.8884224807761651, 0.8884302216941854, 0.888437834137614, 0.8884453202387009, 0.8884526820943079, 0.8884599217664966, 0.8884670412831063, 0.8884740426383214, 0.8884809277932304, 0.8884876986763743, 0.8884943571842888, 0.8885009051820321, 0.8885073445037102, 0.8885136769529893, 0.8885199043036017, 0.8885260282998411, 0.888532050657053, 0.8885379730621138, 0.8885437971739039, 0.8885495246237719, 0.8885551570159916, 0.8885606959282121, 0.8885661429118986 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.7, "x1": 0.7, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`;
notice the SLOW arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.
Concentration as a function of time of all chemicals at bin 0" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0493647857173277, 0.9379309286292263 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzEAAAFoCAYAAABniHWWAAAgAElEQVR4Xu29DdAeRZ3o23nfhIDytRAkm0BYPGcrIATYXTZ3cYO4hQrZZamoC4HCeKgrS+SIV5Ab9Ir3xGyJJVAIlFgSF7dYI1cie5CLnuVjpZYAR3ZZdlfAiFyr9IAGYRORgHwECNznP6Ff++30zHTP9Mz0zPN7rBjyvjP98fv39PTv6e6ZGa+PPooPBCAAAQhAAAIQgAAEIACBnhCYgcT0JFIUEwIQgAAEIAABCEAAAhDICCAxNAQIQAACEIAABCAAAQhAoFcEkJhehYvCQgACEIAABCAAAQhAAAJIDG0AAhCAAAQgAAEIQAACEOgVASSmV+GisBCAAAQgAAEIQAACEIAAEkMbgAAEIAABCEAAAhCAAAR6RQCJ6VW4KCwEIAABCEAAAhCAAAQggMTQBiAAAQhAAAIQgAAEIACBXhFAYnoVLgoLAQhAAAIQgAAEIAABCCAxtAEIQAACEIAABCAAAQhAoFcEkJhehYvCQgACEIAABCAAAQhAAAJIDG0AAhCAAAQgAAEIQAACEOgVASSmV+GisBCAAAQgAAEIQAACEIAAEkMbgAAEIAABCEAAAhCAAAR6RQCJ6VW4KCwEIAABCEAAAhCAAAQggMTQBiAAAQhAAAIQgAAEIACBXhFAYnoVLgoLAQhAAAIQgAAEIAABCCAxtAEIQAACEIAABCAAAQhAoFcEkJhehYvCQgACEIAABCAAAQhAAAJIDG0AAhCAAAQgAAEIQAACEOgVASSmV+GisBCAAAQgAAEIQAACEIAAEkMbgAAEIAABCEAAAhCAAAR6RQCJ6VW4KCwEIAABCEAAAhCAAAQggMTQBiAAAQhAAAIQgAAEIACBXhFAYnoVLgoLAQhAAAIQgAAEIAABCCAxtAEIQAACEIAABCAAAQhAoFcEkJhehYvCQgACEIAABCAAAQhAAAJIDG0AAhCAAAQgAAEIQAACEOgVASSmV+GisBCAAAQgAAEIQAACEIAAEkMbgAAEIAABCEAAAhCAAAR6RQCJ6VW4KCwEIAABCEAAAhCAAAQggMTQBiAAAQhAAAIQgAAEIACBXhFAYnoVLgoLAQhAAAIQgAAEIAABCCAxtAEIQAACEIAABCAAAQhAoFcEkJhehYvCQgACEIAABCAAAQhAAAJIDG0AAhCAAAQgAAEIQGBQBB7f9JRaesYnsjrdev0lasH8/aPV77j3fUxteXqr+vR5K9Tpy46Pli4JhRFAYjx5XfblG9R162+LfiG4sm8zL8/qd3rYvfc/rFZeeLlXZ7F85Rr15Oan1Yabruq0zGQej0DfroeQ9hqPUvopwSX9GKVcwr71AymzNMt22DvPVO857mh1xZpzC4vcZ/6+dQyNGeONUGLxj++NxJy/+mp1x4YHnATWXnqBWrJ4UXw6RoptXsBt5hUCLe+C1d92HL7wYLV+7eqQJL2ODRn82GVsumxeFfA4KKSOOrmidqK/Jdp413Ueuad9SKrXQ96NsUos045AnNLBJQ7HcU0l1X6g7/HwHeA3wb+JNF3x0H1P3lixaHxZNtMi/M5cfqJadc5pfW8KvSx/7yTGnhL8xs13qs9euS6D3+SAra2LTerRZl4hrRaJCaEVdmyVAR4SE8Y49tFITBjRKm08LAeOHjKBVO+LfWc+DhJTFiMtMfb4Ure5MpEpS5/fN0eg9xKj0ciFOGefvRpbRtRmB9pmXiFNq6up05DBT1dlDOFY9E1RSGeZajupy8I+P9V6IjFhkQ65jsNS5uhxIJBqP9B39kiMUnkSI7H15dP3dtDX8g9GYvSMjDkINGdpzAC5BoquY83jzA50xUc/l23o0h/XhjFzQ5k+Lm8qUy4S8yMyJumXbUSTJUPyce3/kMH8Dx796bTZKVcd7dkrfcG+/8+Oy/ahyEfKM3e/fbL07I8uY96F7pqm1Vx94xMy+HFJjF02M737//2RacsU8yRCL8/S9fedPvapoy6PzbZonbJuj/Y5uvw2B7PON99677RY6nZp17FuuzbLpq8Hm5srXvZgpYlrT+e77oufmtr4qdu6z34q+5o1z22zfZls9AZWzV2ubbsfyvuix6dv0Mwu/uRZU32D5KWXkdpp2O23iIvdN5r1WvVX10y1V2nf9jWb1w830W4kL1efVtZXazZ2PV39puua8LmfmOeZ7dMsW9V+LEb/kbdkJ4+d733Rp+3mDdBC+wG7Dq4l1Hn3UOlX6l5Duh5l5XC1FznXdU/R5V38e4dOrWqRY+2+Ok8ifdqmi3/ZPUzOsY9p6ovqPInRdfPZM5TXxuTn+ror6yeK0uB3bgKDkRipnlyMZqcinZsM2Mx9Gi7Z0ReKeYOxG7V5MZkN0XXD0XmYnYAr37wLpOhbATOMeTdGna45INdpFtVRMzQHJmZ+RbMcrpuxS7KkzDIIkU2EvvFpSmKkbnmiqp9i4tpTE9KxNVFHHZOibybzJEbOdbWBvJ+bkuvbrvM6W2kPIsP6ejRvfmaZ7LI3ce1pybdviiHfupXNxLTRvkw2ZqzMwar9czMG5qC8rG/QzMw+1oyh6+dmH2jKuuu6M/M362UP/KUvmzd3zrQ16K4+s8l2YzMVjkXy65L4vKXQdrvyve50fKQs9pdTdfsxM3ZV+w/fuIXcF33va3l9UlE/YAuKa5+h6x6n5cslOHWvIXNAXNQGNUPzmDyuurzmQF3H27x+Xfcb37aZx7/sHmZ/Eev6cjbG4D5vzOU7FisrAxJTRqj67wclMUUzEyYiOe73F/3u1NM48gbncoH+8R8enj2WL+9ic4lE0azEvz3846mbXV6+IdPmtrhJPfX5ugMrkgCbRdEgLkRiQupgN1+7TE1JjD3r4hpoFLUN2YtV9ZuVOnWsIzF2nfNEuE67zuuO9A1Bt0vJ45qv3ZIdftK7j5kalNps2rz27DIWda1lEtNG+8pjk1cP++chfUPetWDLqWZm/7wsL1OuQvsP1xc3TbSbvJhLXmUbe20eEosnnvxlNsukxcBVj7r3E4lH3X4sL3Yh/YfrWnLV1/e+WNaezHt8kcS4nmZp16tsFsK81qvcQ32voZByuOosbc4cg8gxZasodH/tytu3bYZKTFFsQ75o8h0aF23sb2r2x7dsHFdMYCwkxrX0w/yWRDfgoqdr+d4Qiy4+Wy6Kboi+j3P26VjKvu2QJqK/Ha/SAbs6wpC9KWXx6VJiygaqvk/Gi1nHmBKTx9b+eUi7zuty7CfESBs5+qiF2eHf+Yf7MrnXgxrXt/J5D/XQx4aUMa99ti0xddtX3rXt+/OQviGPme/Pi+Jjcy+TmLwlmGXfHEtbsweoIe1Gf6Pqu5zUvBZc/b+03S9+9abRzNK+U7PT8uWIzxdQdnohXzLpctnXZNm1a4u5b/9h52fnY/L0vS+GtN1QibG/0Cpj61P+Ipn0vYZCyqHzcy0DN2do8niXiVzIdRMqMWWxjf0ahaIZFz37U/ULSySkWQKDkhh7VkI3THs9o+tbD5eJV7kh5u2BMMMoF4N8ZA2762ZYdgM307I7W52/ecEVfcsgaZnfNMSSmLxvlsyy+8anK4nJW1ds1qFsI34TdexCYnzbddnLxKR9SZtffvKfZO3fvBZkQPezJ/4jW5dt3mR9v0AIKWMKEhOjffnKSl6bCekbfAdaOq+8JY2uayZEYlwvmXPNojbRbqRu9r4S+ZnPlxmmMEg7l1lIEXfdbqXN69kZ/aVSjDYdo51VlRUz1j5xy9s7J4zteIa03boS44q5maY5xqhyD/W9tnzLoduNPYvg+pKmqsSEtM1QiSn6MqmJJWVFEhOyfLzZ4TqpuwgMRmJce07yLk6fAbbuLPTNyfeG6PvNVkhnXdZ0zQ5Q/ls+5j4g+xu7ovSqdMCSnn2ez0yMb3y6khhdryrfumrGTdSxC4nxbdc+bVWOWbZ0ydQgTg8MZUnZE09uyZbYuNqv70yMz4AyBYmJ0b7qSkxI3+A70KoiMXbaefXK6wvqSEydtm0Kgs8j/rXESzuXj+wNNGcfL/r8tdOWVoaULfRb+rJr1fx9XYnxjVvIfTGk7YZKjF1e1301L80q91Dfa8u3HCH9W9WZr5C2GSoxKc3E6H66qffghVyHHLszgcFIjFyI5rcORZ2ha22y/bZauxPzlRjXgD6v4eXJVMhMjKStyyqDbVmG5jvl7ypXUQfsWk+bN1gvqoP8Tn8T7xKEkLX0dh1cnbddJ98bqqTtI2N58Q1pg6614WUdlmvWLXQAGTI4ibEWWbcLuSHIUjK9j0B+LkvK5GPuj5F/N3Hthdzki65f17r7ttpXERtfuan7BUHRNRIyE2O3rZCYSxnqSIxvny15rL/lH3fa+xLSX+tBqLkPRjOUv+2f+5atrK+q04+Z9xjfe4vdrsoeQmPeB3zviyFtN+8azuNixzQkxk1KjG858hiGzMT4fLFQ956Qdw8rim3dPF1tgZmYstFGur/vvcTkTZsKctdGfz3DYlq166kjdqMOuam6ntihb7TyeGb9FBvX7JE5RRuyBlPXIW8TmuspLlIm82lhZTfMvBtR3nm2WOqY6IGfb3xCblaxJcb1VB99OUv55RG9RUuofOuo2dhPjirqOookyXcAGSIxvu26qMzmXgazfec9qSxUYnzLGENi8pY8hEhM3fblKys6Jq7jffsG32+LdV55bdD1mG37KUR59XIt7TDbTpUlwLoflGWMdtkkbd1n58XK94EyZlu2++m8J5X5lq1MYuq2s5B+wiU9IXELuS/6tt0iibHbnvmloPmwBtc4QdKVMsjjiU9fdnyWTZMSo+8T8goGe+bPLIdrUG4uv7P3xNizDPr6K9ub6Nvf5vEvu4dJbOynwdrxijG8LpIYvZ/VZ6Y1ryyaZ91HNceo69DS6J3EuAJQtHzEXkMqF4TclOzBomvjdZV1+bp8eeuQ7Zukva5UGrk8PtR3Y789OCla+pS3htXkV/Yth70Ouew9MXr9qi5n3mMr9e9d8elSYkxhMd8NJD/3nV72bYN2m/Hp8OyY+rwnRt9sXYMNXd+ygbh9HYYsubP3rpmDXtcNKuQLBEnL59qLITHmgEL+Ww9My9jlzT5WaV8xJMYcKNtxLXr0tRk310bbPInR78HS57u+eCn6xtmOr5yv3/dTVWJ8240p4Xl9WtEgIW+ArAe/eX1KnTZtlse1p8KnH6srMS6+eXFztcei+6LPfS0vJrqN2tde3l7HvH04PhvlpQx1vwjQ9fAph32M+Y4lu7z2NSn55L293v65T9ssuiby7mFyju4HivqKorR9f1e0v8rn+ijLp4l9PGV5jsvveyMx4xIQ6gkBCEAAAhCAQPME6i6za76E5NB3AjwYoNkIIjHN8iV1CEAAAhCAAAQSJIDEJBiUgRWpaO/qwKraSXWQmE6wkykEIAABCEAAAl0SQGK6pD8eeUsb0++BGo8at1tLJKZd3uQGAQhAAAIQgAAEIAABCNQkgMTUBMjpEIAABCAAAQhAAAIQgEC7BJCYdnmTGwQgAAEIQAACEIAABCBQkwASUxMgp0MAAhCAAAQgAAEIQAAC7RJAYtrlTW4QgAAEIAABCEAAAhCAQE0CSExNgJwOAQgopV+il/eSuKqM9OMpXS9ErJom50EAAhCAAATyCJgv8LRf7lmXmn6xps/LrOvmNQ7nIzE9iXLRG6x7UgWKGZlA3lu0Y2Sj3zAsafkKRFOPK61Tz8Peeabq8mYRct3mMa8SixhtYJzSiNF2Q2KdGtuur5PUeMQqj3DVny77oVj16XM6VWLR1HVRta+ocy/sc+yKyj7WEpPXkLSFH77wYLV+7erWYl/UQKs2+jqFNy96nY6LiXwLL58NN11Vmp2uo33gxruum/ajorfcahaub/31gM9Or7RgDRygZyeaKktTHZp8U/RvD//YK542NmkzZy4/Ua0657SdiOpZFRfqshu8jnkoy6ZuQr7Nxb5u8/qWPOZ1YuFbxqbbqW85ujzOV2JS66NjMev6OolVjybSqdrPynX1+4t+V12x5twmitVKmkV11zMKay+9QC1ZvKiV8lTNpGosdP196qjHHiFf+kl9QsaYVdtiVW59OA+JWX+bsqcLx11i9GDTHljqC8i+SH0lRl/ktnzogZ6dX166Oh3XwDelm3HTg8OmOrQiEanTqel2Zcdf16NMZKrk3XV78JWYPOZNxcJk2XQ7rRK3ts9BYrqdsWw73iH5VelnQwa/IWVp+9ghSEwbsTCXn0mMfKSnSiyrtMUq+fTpHCTGITFdBTCVb/lk4FQ0CyXfwJjfLvlITNHsifB2/V5/02NLpi7fk5ufnjZbMG4XeBP11Z1x7L0tEuM8iZHf+Q4iQ6/N1CTGVf485k3GIpTj0I/3bX+p9NGx49H1dRK7PjHTq9LP6r4u9n6KmPXySatK3X3SbfOYNmKhxy8iLysvvLyxJcxDiEfs2PdGYvRNZt0XP6WWnvGJKQ55U3e6UekD7ePs3+vj9OAtr1PXA2szEPaAzz7GZ1la3jIr/e20+Y3uio9+Tm15eutUEVwdpf3NQMi3A6E3NB+J8TnGlifXBWt+qyKdhVn3kCV3eUub8mYJ5Oc//8Vmdd1IeuWj46JZvf/Pjss6L/notmYOjIqWx8k5Zt2rlO30Zcd79Q32EkGzvnltMNa3SkUS49M+vCpoHaTjs/j3DlWfvXLd1G/NJW9F5dJM8pbI2WWy+UpbkGvVbKfm9ZXH/KMfep/64ldv2qnKEgv5SFuz26puY3ZZXX2WWZ68AXxZHyrlCO2XQ2LoKrecb/d3oX2ji7nEST5FS2JT6qOlrHoGLe8elxdXzdVcmulzneh8ytqTPs4uX941ZF8zcr/8waM/nRbnkLpI/q4+1F6Kmldnc0a4LOau9pw3trB5m+dWve/Mmztn6p4k6WnGdozs9H3uMWV1z7vfus6re83m9RtlefnEIqRPyjtW2vrc/fbJloY1uaTdHBPd/++PqDs2PDBVJPM+nfcFsBxsClfRMkDzmjOvUTOWRdd4yJjHt88w66/HY72SGOnYbBlxDbhdjcj1s6JBrytd10BLOgNpTHpmwrU0w3eA5vMtn30Td3XuuoPyHajZF6aug+/gtax+eYMrO9+im6vmKzF74PuPZp2FxMjsnH2/TdU3uZtvvXfaelTXYNbsJF03YX1xu0TVLo+rfuYNV3cOUo6QsvnMmrgG466f+caqSsefJwtFElElH/McHR/XwMSMZ9HSRXvGz1WmvA7bdTOx+5Y85nk/z+snXMe7+j27rq7rxrcPzVsHHvpFiIupsJNBmrm/ysXTHKiUyVleWyvrw3T5Uumj7S98XO0vZODve534tCfXcmxX+fKuGZ1HWSwlJq4+1bVXI+86lDRcfYPryx2ffla3E93O7Huobz/se99x3eNNmTHvL2ZZYtxjXOMn1wC56Gc+45m8e4BvXnmxqHtvyesTmryfme3CbI82iyKB8O2bzQfK5O1ZNsc9rjx9xzy+fYbruuiVxLgGEzakopuMHbwQifH5lr/sQQFlnaDPDdL+RsN1gRbNIvls2HbN4tgdo9kBlA0AfL/Ndt1o7Bux/PvooxZmAxv5b/nojXG+F2dR52VvACybvi3K0y57Hge7HnnlCy2bmU7Zt+26XbUhMXn1a2LpRdmMqu6cXddRyHIuX75S9zYlJq/+0ldpOchrp67+yk4vZKAcY9DgiklevxvSN/p+AZJCH11Whry4av4+XxblHVulPdkDe32dh1wzvu2siI3df+bVxfxWXcpedg9wteu8gbNvncvydJU99MsQV7lD7jGu6y6PqV3vkGs2r9/wzatpicm7nnxW4IT2iWXtW88G5Ql+yNK6oj4x73d2+r5jntD0zHvT4CSmSDZ8LyTXQMPnJld0jFxwZUtSym5OspSpTGJ80gh5wpNp4/qC892Ab39TUVb/om9Zdb2Fo/5GScda6lPW6Rd1hPbvzM6nLN0QiZF8QgeMdcpmnptXTrt+bUiMa3BctmcqtLPXx+fV22eAa7avsvyLBnf2ddumxOhZ1aJrL6RfdH2p4PPlUhm/vN/nLWkx6+M7ICq6ln3697IBbYxy+LQ580umotly34G/635ni4fOx6c9lfU1Oq2Qa8a3LmX3f6lX2ZdeTUpMGRvdN1a97+SlX/TzqvcYm7XP2EPfx32vlbJ+oeheYq5skKXEvitLQvsqF9ui5Vyh6ZvHFzH2+ULf9wtT11glZDxhsvYZ85RdFzo9V/0HJzF501c6KLIkTQ/iQ2Zi7I4t71sMc6+KfUzZ05dCOoG8m0zRY2z1OXW+8dZSYzbSspkY34GxK3YmEym/dEY6fjpdKct9/7oxWxvsK2g6L5eQmd9mVL2Z5HUC9uDZ9QjdWGXT8S7ib39T4hurKh1x2TR7WTuqkmeIxNj9gc8XD1KmImY+31aGfoOa1ybz0rHXLUuZi24yIX2o7+CySux0uc2BiquOvgOiom9k25SYGH103my52f+FxCbkOilqT3nlMuMv8fzjPzw829vqkmtXPH3rkrePSudvLkdveyYmpB+uet/xlZgY9xg7TkXXl73cyfeazes3QvJqciam7Fou++I2tF8MkRh7DKLP9ZW5vGvO9xrX+3TLxjwh6Y2FxJR9E2N+axgiMT43uRDLdTXeGBIT2lBDLyLXQNRn8OlzjHTAee+hkefty+eJJ385bR+LpHvSu4/J9snIx/eZ67FuYKEzMVJG8xzXQDlW2UK+OdEDxS4lRguyr4j6tN2Qb3t1bOTGc8Bv75cJs4/wpy4xJifzhqE5pzgTEyJqvgOiVCSmiT5a183sP30H/nafZLaXsmXUrvbkI/+h14xvXXxmsnT9muhnddp5ba3sG+e2ZmJi1J2ZmOKnavqMeXzuYeYxobPJZl/z3//HhqD3v9VdWZQ3/sgb8/gI31hITFGQ7Qu3aH2gfWxRZ67Xl5d1+GUNtmgNvu+NuuiGVJa//F7KsP6Wf3S+rFB+7yqHz8Vatlyo6Pd6tkLyF2GxN/qK2MgMm89FoOuY9y1g6FKCKhKj6yrltZcaFd3cQ8tmxtt3LXaXEuPTjnzasI+8FQ2KZN+YzMbNm7uv94vq8mZqu5yJybuW7TL5TPfnDfx8B5ehccsbBNaZiSlq2z5fUpl9h88ylqIBbVG/UcZK2Bw47y07vWCwzlK/vPKYaVZtT3n1CblmfNtZ2QyGT99glytkb1yZxPj2w2X18J1xcV23IfeY0DGJTzvKG0fIz0NmTXzzCkmz7Nozf6/Z5K2wsWefQtLOOzZkfKvT0Puc5ElmZfuyfcYMcoxvf6nTKxrzhKQ3FhKjgbge0WguJSsbzLouEPmZ60WP5lt59VS7/W2yDMTlMa9lj8IN6djzLnp90dqDerno5PHMRY8RLVpvrdMN3ROjG7Kews57BKzPm97tqVBzOtd3mlTK4xow69g1uSfGbHfy364OMFbZzA5JX/xlT+nqSmJcyxRjdPqu2b2im4vZ/n1mYexBi3mTMNtm3iOWi/qhKoMNSU9fR/p8e3bTbl+uG5KOh/2EKLsP9R1cmoMp+e+ya9U1QDBjU2VPjOTrWquuf+b7pu2u+2hX/+7i5Rq8mcut7Ef+2u3Evk5821PecbrfldckLJi/v/O9UXnXTEhdXE8n0/dK80mivrMRutzmMuOyvilv4OzbDzcpMSH3v6K6u76gcX0Z6epvQ76UzWPtm1dTElMmKWWSU9aGXL+3l3/rY4pWMej6+/ZvZpp5T+b0vcZ1Wmbf7Rrz+KY3NhIj4HQD0xDzAmivaSx7T4xuLDpd1/KnvHW5PstkzGCbg9zQi95OR5fXd7bCte5Z0nAN7PKO1Xma9c4rVxEb15IF18Xhw9fsGOxyS91E8prcE2N3OnmDuRhlc3WCcuM2P77vGqnS4drnlK0fDo2fT5n0Fw/2XrUiQfHZ/+bK266fdNb6PQ6xJUbyN2Mp/Zt+h5Z5jbs2xtt9Vtm3w0V9aIjEuAZwRTG0+4q8Oob2jXb/LNeAPNLc51HaUt4U+mj7/iblKtpfojlLXfX7JWyJ0e80MmNiXyc+7Umf77ov2G3P95px3dPz6iLH5vU1Zn8bIjF5Mc9rv2UD57J+uGmJkXL73GOqtHdXGyl6T4wIrf6UcbN5++QVmqbPfUXzk7+LvhSOvURa19e+VosEpeoXkz6zLT7XuObp80VlWXq9lhjfhsVxEIAABKoSaOqGV7U8Qzqv7nLbIbGgLvkEaCe0DgjEI1D0oJZ4uXSXUm+eTtYdInKGAATGhUAT+3LGhV1ZPfXabP3i2rLj+f14EkBixjPu1Do+gSaWtMUvZb0UkZh6/DgbAhAYCAHXk/cGUrXOq6FvpmV7YTovKAXonAAS03kIKMBACDT1vpqU8CAxKUWDskAAAhCAAAQgAAEIQAACpQSQmFJEHAABCEAAAhCAAAQgAAEIpEQAiUkpGpQFAhCAAAQgAAEIQAACECglgMSUIuIACEAAAhCAAAQgAAEIQCAlAkhMStGgLBCAAAQgAAEIQAACEIBAKQEkphQRB0AAAhCAAAQgAAEIQAACKRFAYlKKBmXpLQHzDczypnbehVE/lDDdwdB+O7v99usqpO23lZe9ITw0D5+3PYemmfrxfXk0cOxYpx4XygcBCAyXQC8lxhzc6NAMeeBoDzhiN8e89PUzxnm3QzHx1F7iN4R4hjAtGjxKOlue3qo23nVd7MumlfT0u2tiiItZ4HGUGM3yzOUnqlXnnBY9fl1JTKgwhkhMk/cAW87n7LOX2nDTVdHjQoIQgMBwCfRKYnSHaguLfpGahKmvg5WiJobEpHsB6gFBSqLXd4kJZTpkiZEBqnzWr10d9SJAYpCYT5+3Qp2+7PjCdtWUxLhewhcqY1EvCBKDAAR6SaA3EuPzNm3pBGPf7FOIalcSk0LdUy9DU9+U16l30+2lTtl8zg1l2tU34D51qXtMyIxUSF7jKDEhfKoc21U7DB38h8zEVOFQdo7+0tGeEdM/95Grsjz4PQQgMNs8aDgAACAASURBVB4EeiMxcjOXT8h0s+6szVDayzLMG8+Kj34uW3qiP64lHOasjz7OngZ3HWN/U69vPOu++Cm19IxPTOVpp+VaOqePMW9GP//FZnXd+tuydGSm6vyzT5mWrs7AnsUqSj/vptwEV9flpr+ts3/niovrWJ8lOCF52OWwl0Po38tsYB47PUA324NvW9Dp6zTM8ui4phxPKW9Z2yli6mojecfrgZBrgKcH8PPmzpm6ZiRtPaiy20TeoEovVdPlCl2mZMfKzscVy7I87DJJ2VzLdGJIjCsvfc3FaNP2rLpO8+JPnqVWXnj5VHM4fOHB2ZdX9nVh93V5g/eyPt23j3Bd8660fZc++8RSmPzg0Z/udGkU9X0mh/v//RF1x4YHps6371OuOum2s/j3DlWfvXLd1Lm+9XL1gToRqfPc/fYZ5JeR4zGkpJYQaJdALyRG3wh8O0lBqDtfs1Mu+pmcY3b8rsFP3myQdLwiIwvm7z91IzUHG67z9M3HJS0u0XDV3RwQ5n2rZQ4E8jjmfXPvuoE1wTWvycvgQQaa5vr1vGUIciM36+orvb555JUx74YcKjFSfp+24Kq/xFUEXAt+qvH0bTtFg5wikXEN3PIkxpQW+W9zAOy6ds1+RF9HevAs54f0Ufq6NfNx/UzSDR3UyfEyyF+yeNEUKte1UEdi8uoqbVMGtrJEKaR/cy1ZKrrOXdylsq6fuxibsujTp/v2EfY174qpz4oCc0DvE8uqMzGSj8mi6Po0ry0t1+Y9KWR2p2jGKrQu7Q6XyA0CEEiNQC8kJu8GXwQzbyBnd5Ihg02fZTpF+xH+7eEfTw008zprffM2B+R5aYbcODQrSd8sh/w8ZNDbBNeQi8K15KCo/FU28IYsa4glMU9ufnqnWUa7LfjGO9V4+radNiQmb19d3pcB5s/zrl3fZXB557v6olCJcV1LrnLVkRifgaZv/1bUpu2ldHlp5jGyf+7Ky6dPdzF19RF2/PLuLXLu//yXH5TuR/GNpU88zLTKmJszIUUzMfYTGH3bqktQdflC6xJy7+BYCEBgeAQGKTFFnbTvjcYeSPkMIH3y1XLie5MvkgyfMuUtN/CRpLxvFl3La6pyLbukXMuP5BxzUKmXXZQttcnLyyePvHPblBjfNfe+EuPTXvU3sCGy72IVklcXElN0ndk8y75UKHvIQ9n55vXlOzA0mectsTPLVUdifAb+vv1b2bfyUi+9zzEvTd+f223Qp//UXH36CLsu5uxe1QfO+MQydOBfVG/7ixMkpuwOxe8hAIEuCfRKYnyXkxUNguwpc9/Bmc/AyrVXwQ6uvWbc3uMTayZGl8VeohSSft5N2TVIq8q1qPFrOTEHdXmbQl3rx8sGk5J3SB5F34z6rCWX84v2xJS1BVfsXGXylZgmrpNQ2ZPj7bbjc625Bu0hy8lcfUkeN/Pnrj0Odp2LNibntV9JwzXjHCIxZtlMFi6eVSWmqPwmB1+JydtvotMy+y9fWdHn2sfbg3ffdubbR7juJa57grnsLe96CYll3ySmTFxds9JdDpLIGwIQSJdALyRGDzblb5+N/SHf+vpKjM+3dvoYn8Gz701e6hzyzW3eDVz/vI7ENME179Io24RbNOvi+8jtOnnocjMTc2e2ubeszYe0Hd/BpY5B6KDIR1bMdumaiak66xd6PYdIjG9f5iqDT/+mmTQxE+MzUxFbYnzqHNJH+MyU6v63rP2ExDKmxPgst86Lv29bZWN/ugNCSgaBvhHojcToTr2o85cbhF6n67v+PuRmkZemdMp//IeHZxv7fW7w0khCJCbvMasha5uLJCYv/ZClBD43PymD7wA17zj7m2D59/pb/nGnl9f5DCh88yi6qNuUmDIR0Pt/Uoxn0eDdbju+bcQWyTZmYoquXd/Ov6k9MXkzdTFnYorqb+718O3ffESi7IsZX7kJ2ROj+3TZu+KSdNeMlN3nmPejIil2tZuQWLr2ORa1xSLm9v0r5B7gKzE8Ytm3p+A4CECgjEBvJEYqEvKyS935Vnn6St5g25WmvWlW/9u1Qdh8gpTvTd6st/1tpc/aZnNgZy7dMNPKu2G6bmBNcHU1UtcTkMwZFs3X9aQoSc/n6WS+eVSRGNeN2lxa4nrEctlyMj2AlCeZ2XE1H9aQYjyl7L5tJ1RiipY4ua6zujMxeW1Otzv9pMK8dqOvW9fTnex+w3dgaPZZrqdvye9j7Ylxld/e6F6lf7Nn86QdyCOA9RdTvrKSJz2u/rKsT5e05BH4Zqxc/ZDZvvW16Xrqmm7bZe9CcR2X13+EXi+uZYtm32LeG5qQGPOeVvZE0LIBDL+HAATGm0CvJEZClbcm3TVD49qMWfSeGJlJ0Z+8G4MrTfvm61PGkJu8Hhzpd9i43hPjevOy630X+r0AthCZe0p0+nmzGU1wLRIZ/Tspl36vjuvRqWYaPuvOXe0pL4+8bqJoAGFzkoGQfrdCVYkxB0tmmfoQTymvT9sJHZSZA3jNxOc9MfbTlULlxrUPy7fdSTklP/PjGtiGSIyLQ16bq7onxiyvXX6fJ7iVzTDY15nPdeIrN3lf+pT16XZ/ntdHuPpL14NVypZe2vcg/e+8WJpSoI/1eU+M1MN8L5rrfUJNSYyrH3PlP97DM2oPAQiUEeidxJRViN9DAAIQgAAEIAABCEAAAsMmgMQMO77UDgIQgAAEIAABCEAAAoMjgMQMLqRUCAIQgAAEIAABCEAAAsMmgMQMO77UDgIQgAAEIAABCEAAAoMjgMQMLqRUCAIQgAAEIAABCEAAAsMmgMQMO77UDgIQgAAEIAABCEAAAoMjgMRECOkTv3wxQiok0SWB3XedqSYmZqhnX3ily2KQdwQCb5o9qXaZName+fXLEVIjiS4J7LbLpNp1FM9fPUcsu4xDjLxnz5pQu+82S/3y2W0xkiONDgnsMnNC7fnmWWrLVmIpYZi3724dRmO8s0ZiIsQfiYkAseMkkJiOAxAxeyQmIsyOk0JiOg5AxOyRmIgwO04KiZkeACSmuwaJxERgj8REgNhxEkhMxwGImD0SExFmx0khMR0HIGL2SExEmB0nhcQgMR03wanskZgIkUhVYp76xSb1z9+7S538/jMi1HLYSSAxw4kvEjOcWCIxw4klEjOcWCIxSEwqrRmJiRAJJCYCxI6TQGI6DkDE7JGYiDA7TgqJ6TgAEbNHYiLC7DgpJAaJ6bgJMhMTMwBITEya3aSFxHTDvYlckZgmqHaTJhLTDfcmckVimqDaTZpIDBLTTcvbOVdmYiJEIlWJiVC1sUkCiRlOqJGY4cQSiRlOLJGY4cQSiUFiUmnNSEyESCAxESB2nAQS03EAImaPxESE2XFSSEzHAYiYPRITEWbHSSEx7UvMvfc/rFZeeLm69fpL1IL5+3fcAuplv3zlGjVv7r7qijXn1ktodDYSUxuhUkhMBIgdJ4HEdByAiNkjMRFhdpwUEtNxAAqy37rtGfXstq2FBXz25a1Tx8yaOUPtNnumevZ597u4dhz7TFCFf/bsY0HHmwdLfltLyh+S+M9rlCUkH/PYnz1Xvf5V85TzZoz+yHvVtr/2ep1ksrYh7ajvn9dX1+Og63/c+z6mtjw9/Zr69Hkr1OnLjlddSsw3br5TffbKddEEColJrMWnKjE8ncy/oSAx/qxSPxKJST1C/uUbssS4JODnzz2+E5yfOwaqrsF73qBcxCBPNooGwUMZYPq3No6EQDUCdSVGC8p7jjt6p9mJw955ptp413WdSkw1KvlnITGxidZMD4mpCTCB05GYBIIQqQhITCSQCSTTtsRoOTBnEASDKRKmQJji4JIFUxKGJgV7zd5b7Tl7r8JWsufomL122XHMjAmlJicm1KuvvuY8R9KS40M+B+6xIOTwacdmZSspf0jikt6eb9Q15Lw6xx5Qo/518p01c0LtvttM9avnXq6TTNZ+pB31/VP3ZZcyA/P7i363cHmVFp21l16QLSvTH/n3ksWLpiEU8dGfOfvspTbcdNXUv+V3MrsjMyv6c+byE9Xyk/9ELT3jE1M/0zNA8gPXLJD+mZ3P45uempaO/P7whQer9WtXT6WNxCTW4pGYxAJSoThITAVoiZ6CxCQamArFKpMYLRR6BkMvSZJlQnpp0s/emN0wJWOrsXSpzpKkClWadsqBex40/d97TP+3/PIA6xj5mWvwnjcoLxpcZ+KQM/COPcBkT0zd1pLO+eyJmR6LOhJjyoktI2Yu+jhTSi778g3quvW3ZTM1+qMlRZagyef81VerJ5785ZREaMHR5+ilYma6+mf6GFti9O9NgZJ8zj/7lCzPVX91zTRpkTxFlFadc1r2eyQmnWs5K0mqEpMYpqSLg8QkHZ6gwiExQbg6PVgvqbIlRIvFL57/mXrula3ql8//KiunntloSjy0VJgzCJKvKRKmQJji4JIF85vy2FLQaeAqZI7EVICW6ClIzPTA1JEYWxjyQu6aDdGzHnqzv0jNE09umTajYx9jS47+vSkk9jl23iIhRx+1cEpKypqpLVJITBmxln+PxLQMvIHskJgGoHaUJBLTEXiRjNHmZr0US5Zg6RkRmQ3RMyF6FiSGiGjpOPCNGQy9JEmWCekZBi0apmSYMxD2bEh39IadMxIznPgiMWlJjBYQkYMfPPpTZ0PTx4RIjD7Hlhg7DTtDe6mZ/N5cUobEJNYXIDGJBaRCcZCYCtASPQWJiRsYmS2RmRLZ0yFiokUl+1ueLjRamiVPZqrylCG9r8KWED3b8dZ9Dlb77b6Pmtj+5qxSemYD8Ygb4zZSQ2LaoNxOHkhMPInxfepY0UyMKTFljy5uWmL0Ejd7qZm5pA2Jaec69c4lVYnh6WTeIVRIjD+r1I9EYvwjJCKSCcpIRHb89xuSMpITWboVOlsicqGXYskSLD0jon8usyN6FsRHRMr2xPjXlCO7JoDEdB2BePkjMfEkRlISsXA9mUx+J1Ige0l8JEaO/c4/3DdtI78d9RgSIw8iOOndxziXk7kEheVk8a69RlJCYhrB2mqiSEyruBvNDIn5DV4tKVpOZFmXzJqECIrMlmRCMhIQ+VtmSURUMjF5Q0pkhqSJpwwhMY1eKq0mjsS0irvRzJCYuBKj98XYIqOXh+U9Ytnez6L/7Urnsv/24ewlmTEkxvXeGL2x/4qv3DjtQQK6TCwna/SSrJc4ElOPXwpnIzEpRCFOGcZNYjZueSibTdEzKRs3P5Qt8dq4+cFSoCIeh805Ipsd0VJy2H5HZnIiYuIzW1KaSY0DkJga8BI7FYlJLCA1ioPExJUYnZr5aGT5mfnEMJ+ZmLx0TIGIITGSjxYZnadZVvOlnfJzeXw0y8lqXHBNn5qqxDRd7yGlj8QMJ5pDlBgRFdl/skNYHhsJykNesykiIbLfRCRFZEX+fYDx79SjjsSkHiH/8iEx/qxSPxKJaUZiUo97iuWb8frok2LB+lQmJKZP0XKXFYnpfwx1DfosMVpW7tt0dyYsWlyKNs3LzIks9TpsvyMyQdEzK/J33z9ITN8j+JvyIzHDiSUSg8Sk0prHUmJk7d4dGx7IYmC/SdQVGPuxdeaLheR4JCaV5ly9HEhMdXapndkHiREp+eGWh6fNrIi05MmKXvY1RFEpaj9ITGpXV/XyIDHV2aV2JhKDxKTSJsdOYmQd3zVfu2Xq6Q1lL+2xn6pg/ztlieHpZP6XGRLjzyr1I1OTGC0senZFNtfn7Vdxycrb5ixqZNN86nGU8iExfYiSXxmRGD9OfTgKiUFiUmmnYycxtrTYUmMHxuf4VGdikBj/ywyJ8WeV+pFdSow5wzIlLaOngbk+b5//juxpX7LsS/6Ms6zktSkkJvWrzb98SIw/q9SPRGKQmFTa6NhJjDw14cMfPFmdvuz4LAb6iQ/2EjEdIP17/cg6kZplS5dMnc9MTCpNuV45kJh6/FI6u02JkSVgPxz9+d6me7KlYa4ZFnN25RgRl9FTv4awX6WNmCMxbVBuJw8kph3ObeSCxCAxbbQznzzGTmLsx8v5vC1VzpHHxG15emvG1BaeXz33sg9rjkmYwK6zJtSMiRnqxW3bEy4lRfMhsMsoljMnJ9QLL73qc3jQMT8YPRXs3p/frf7nzzaoh0f//fjW/7XT+UsOPE4tessR6vDRhvtFbzly9Hf/N9gHQYp48C6jOM4axfP5BmIZsZjxkxrg43Zmzpyhdp01qX79YvzrMn4ASLGIwMzJGWq32ZPquReIpXD6rT12ocF0RGDsJCZ0JsaeeZE3ol63/rZpIvPCNi7kjtpvtGxl0DtjlNor21+LliYJdUNg5khGJ0Z/Xn61fiwf/o8H1d2P362+8//9v+qh0X8/89Iz0yp10F6/o47Y/0h17Ehcdvz9jm4qPdBcJ0eDpUmJ5Sv1Y9krRNIZDewzOWOGmjlzQm17hS+K+h7aiVEsZxHLqTC+afbMvoe0t+UfO4nx2eNiRlNmYdZeeoFasnhR9mPXzE2qe2J62yo7KDjLyTqA3lCWdZaTyUsjZS/LbT/59ujve3Z6Wpg8zliWgr19/rGjPSw79rLwaY4Ay8maY9t2yiwna5t4c/mxnGw623n77tYcbFIuJDB2ElP2dDJ7pkWkRz7r167O/pank/3bwz+eerqZ/CxViWFjv//Vj8T4s0r9yBCJkY34//TEvW9Iy93ZW+/Nj7wcUvaxnPjWP8+ERfaz8GmPABLTHuumc0JimibcXvpIDBLTXmsrzmnsJEaLSN57YlzLxWQJmt4PI3tjNtx01TSqSEwqzbl6OZCY6uxSO7NMYmS2RWZabh/9+d5o1sWWFpEVkRa9CT+1+o1TeZCY4UQbiRlOLJGY8ZGYxzc9pZae8Qmvdyp20cLHUmJig0ZiYhNtPz0kpn3mTeXokhhZGnb7T7+dyYs92yKPOj4hk5ZjWR7WVFAqpovEVASX4GlITIJBqVgkJGZ8JEa+2JeP7AW/9fpL1IL5+1dsNc2chsRE4JqqxESo2tgkgcQMJ9RaYm599E71zR99PdvjYoqLuUTsj+YtGdsXSfYh4khMH6LkV0Ykxo9TH45CYsZHYmRLxUc/9D71xa/epI4+aqFadc5pSTVRJCZCOJCYCBA7TgKJ6TgAkbKXGZebfnz96BHId6vHjMcfi7jIErETDt4x48KnHwSQmH7EyaeUSIwPpX4cg8TEl5iXXn9N/WjbC603gNkTE+rQXd7kzFeWkq346OeyLRRlL4ZvveBvZIjERCCPxESA2HESSEzHAaiRvYiLa8ZFniQmTxE75ZAPsEysBt8uT0ViuqQfN28kJi7PLlNDYuJLzGOvbFNnPvGj1sO6YNZs9bfzDnHmq5eS6dkXeVpvakvKkJgITSZVieHpZP7BRWL8WaVwpGzOv/bBq3fa4yIzLv/1D/4PteyQZWrPyd9OoaiUoQYBJKYGvMRORWISC0iN4iAx8SXmqe2vqM9vebxGVKqd+pbJWer/muN+6qY81GrdFz81tQ9Gns47b+6cpJaUITHV4j7tLCQmAsSOk0BiOg6AR/b6HS7ffOTr054qppeK6RmXsqeTeWTFIYkQQGISCUSEYiAxESAmkgQSE19iEgntVDH0OxHtcrme0Ntl2ZGYCPSRmAgQO04Ciek4AAXZ6+Vi33xk3dRRe83eO3ui2KmjpWL2HhckJt1YhpYMiQkllu7xSEy6sQktGRIzfImRpWRPPLlFXbHm3GmVtV8AH9p2Yh+PxEQgmqrERKja2CSBxKQVaj3rcvn9F097spg8DvnUQz+Q7XPJ+yAxacWyTmmQmDr00joXiUkrHnVKg8QMX2JEVj593gp1+rLjp1VWlpTJx5abOu2pzrlITB16b5yLxESA2HESSEzHAXgj+41bHhrtdfmSMmddZLmYzLiceugKdcAe7rW7ZumRmDRiGaMUSEwMimmkgcSkEYcYpUBihi8xMdpJG2kgMREoIzERIHacBBLTbQBuHL3Pxd7rIo9EFnE54eCTggqHxAThSvpgJCbp8AQVDokJwpX0wUgMEpNKA0ViIkQiVYnh6WT+wUVi/FnFOtK1ZEy/iPKCxRd5zbq4yoLExIpQ9+kgMd3HIFYJkJhYJLtPB4lBYrpvhTtKgMREiAQSEwFix0kgMe0FQORF9rrc/pNvq63bnskyFnkRcSna6+JbQiTGl1T6xyEx6cfIt4RIjC+p9I9DYpCYVFopEhMhEkhMBIgdJ4HENB8ALS/mfhfZqP/xkbzYTxirUxokpg69tM5FYtKKR53SIDF16KV1LhKDxKTSIjuXGHmZzpantzp5bLzrulQ4FZYjVYnpBbxEConENBcIl7zIXpc6S8aKSovENBfLtlNGYtom3lx+SExzbNtOGYlBYtpuc3n5dSoxy1euGb39c99kHtVWNShITFVy6ZyHxMSPRdvyomuAxMSPZVcpIjFdkY+fLxITn2lXKSIxSExXbc/Ot1OJSe2lOVWDgsRUJZfOeUhMvFh0JS9ITLwYppISEpNKJOqXA4mpzzCVFJAYJCaVtojERIhEqhLD08n8g4vE+LPKO9IlL3951LnqrCPPrfyksSqlYiamCrU0z0Fi0oxLlVIhMVWopXkOEoPEpNIyO5UYWU62bOmSnd4Imgoc33IgMb6k0j0Oiakem65nXuySIzHVY5namUhMahGpXh4kpjq71M5EYpCYVNpkpxJz7/0Pq4s+f63acNNVqfCoVA4kphK2pE5CYsLDIfIiTxqTxyXrT5Mb9n1LiMT4kkr/OCQm/Rj5lhCJ8SWV/nFIzPAl5vFNT6mlZ3xip8aY2gO3OpUY2RNT9EkNVl5ZU5WY9LvCdEqIxITF4sYffT2Tl589+1h2YgryomuAxITFMuWjkZiUoxNWNiQmjFfKRyMx4yMxay+9QC1ZvCircIoP4+pUYlK+SEPKhsSE0ErzWCTGLy73bbpHnX/n2VPycth+R6q/+dP1re55KSspElNGqD+/R2L6E6uykiIxZYT683skZjwl5rIv36Ae+P6jav3a1ck01s4lRpaUrbzw8mlATPNLhlRBQZCYPkSpuIxITDEfe9/LgXselL3n5ZRDPpBc8JGY5EJSuUBITGV0yZ2IxCQXksoFQmLiS8wLr7yg7t90f+WYVD3xTbPepBbPX7zT6Xo5mTkel/c6fviDJye1j71TifnGzXeqz165Tt16/SVqwfz9M4ga3KfPW5EUqKIGkqrE8HQy/8saicln9YXRsjG972Wv2XuPnjb2EfXxkcCk+kFiUo1MeLmQmHBmqZ6BxKQamfByITHxJeaRLY+ot33pbeHBqHnGoXMOVT/8yA9zJcb+RWpj804lJs/qRG6u+dotvdnwj8TUvIoSOB2J2TkIt//0O2r1PauS3PdS1GSQmAQuqEhFQGIigUwgGSQmgSBEKgISE19iHtv6mDrz5jMjRcg/mQV7LVB/u+xvcyXGXhkle9lTEplOJSbvZZd6iRkb+/0boutIZmL8+SExv2HlWjq25tjL1AkHn+QPtMMjkZgO4UfOGomJDLTD5JCYDuFHzhqJiS8xkUNUOznXcjJJVDb3H33UQrXqnNNq5xEjgU4lhpmYGCEkjRgEkJgdFO2njsm+l5SXjrlij8TEuCLSSAOJSSMOMUqBxMSgmEYaSMx4Skye2HTZKjuVGPbEdBl68jYJjLvE2LMvJ771z5XMvhywx4LeNRQkpnchyy0wEjOcWCIxw4klEjM+EmO32pSWkknZOpUYKQBPJxtOx9bnmoyzxFz74JeUbN7fuu0ZlfJTx3zbFxLjSyr945CY9GPkW0IkxpdU+schMcOXmPRb4Y4Sdi4xXYA6f/XV6o4ND2RZH77wYK9nXsvSty1Pb83OsU2Ujf1dRDFunuMoMTL7cv53z1bf23R3BjOlF1bWiS4SU4deWuciMWnFo05pkJg69NI6F4lBYlJpkWMnMfaTz3w2KckDCM5cfmLuRiYkJpXmXL0c4yYx5t6XIcy+mJFHYqpfB6mdicSkFpHq5UFiqrNL7UwkBolJpU2OncTY0lL2OGd5Q+kTT25RV6w5NzdmSEwqzbl6OcZFYuy9L0OZfUFiqrf9lM9EYlKOTljZkJgwXikfjcQgMam0z04kRj9nWl50WfRp4hHL9hPRyh7nLNLz5Oanp5aSSXnNl3PKv1OVmFQaWR/KMQ4Sc9+me9T5d56dvfdlaLMvSEwfrrLwMiIx4cxSPQOJSTUy4eVCYpCY8FbTzBmdSEwzVfFL1X5Rj5YYW0x0aiI9J737mKmlZDIzc93625QpWNu3v+6XOUf5E5jhf2iMI7PsRv/3+kBD+Vd3r1F/tWFNhuqouUep/37qt9RBex0UA11yaUgsZ4z+77WBxjI54A0WiFg2CLflpIlly8Abzm5C97H0s2pysuUBS8Ox7VPynUpM3ssuy5Z41QEcOhNjH6+fk21Kz5O/erFOkTjXRaDljvHNu85UE6OR73MvvjKoeMjysffddEI2+yKf//N/u0jJu1+G/Nlt9qSaNXNSPfv8y0Ou5ljUbdddJtXs0Z+tvyaWfQ/4LrMm1Jt3naV+9dy2vldl7MsvMzG7v2mWevrZUSwZv6u5v7Xb2LeJrgAkKTFlS7zqwArdE2Mf75KYVJeTPfWLTeqfv3eXOvn9Z9RBNhbnDnE5mb15/6t/ul4dNueIwceTjf3DCTHLyYYTS5aTDSeWLCebHst5+yIxXbXuJCVGlmx95x/uUxtuuio6l7Knk9nLxfQLOfXyMXk88xNP/nLaY5mRmOhhaj3BoUmMvPfl8tEf+Qxx835RA0FiWr98GssQiWkMbesJIzGtI28sQyQGiWmscQUm3LrEuF5u6Srz2ksvUEsWLwqsjt/hRe+Jce150T+T1Ofss9dOcoXE+HFP+aihSIwsH/vf/3652rj5wQy3LB37+MCXj9ntColJ+UoLKxsSE8Yr5aORmJSjE1Y2JAaJCWsxzR3dusSYVcnbE9NcdZtJOVWJaaa2w0x1CBJjP33s7957uzpg3+rxygAAIABJREFUjwXDDFhBrZCY4YQciRlOLJGY4cQSiUFiUmnNnUpMKhDqlgOJqUuw+/P7LjHm8rET3/rnas2xl42lwEhLQmK6v55ilQCJiUWy+3SQmO5jEKsESAwSE6st1U0HialLcHQ+EhMBYsdJ9FVitm57Rl3xL59Tf/39qzOC47h8zG46SEzHF1PE7JGYiDA7TgqJ6TgAEbNHYpCYiM2pVlKdSox+0ldeDZp42WUtWjknpyoxPJ3MP9p9lBjZ//IX39rx+OS9Zu89mn25VJ1yyAf8Kz3QI5GY4QQWiRlOLJGY4cQSiUFiUmnNnUqMfpHkMX9wmLro89dObZiXxxovW7pEnb7s+FQ4FZYDielFmAoL2TeJ2bjlIfWh0QZ+EZgD9zxIjev+F1dQkZj+X4+6BkjMcGKJxAwnlkgMEpNKa+5UYvTG/gXz36JWfPRzUxIjTzAzpSYVWHnlQGJSj1B5+fokMdc++CW1+p5VWaXePv8d6op3fWVs978gMeVtu89HIDF9jt70siMxw4klEoPEpNKak5AYeZSyCI1ePtbkyy6bAJ+qxDRR16Gm2ReJMTfws//F3RqZiRnOVYrEDCeWSMxwYonEIDGptOZOJUaWjR191EK16pzTlPnfTb7ssgnwSEwTVNtNsw8S85l7L2QDv0ezQGI8IPXkECSmJ4HyKCYS4wGpJ4cgMUhMKk21U4mxIchsjP7cev0lasH8/VPhVFgOJKYXYSosZMoSY77AUjbwy/KxEw4+qf/QG6oBEtMQ2A6SRWI6gN5QlkhMQ2A7SBaJQWI6aHbOLJOSmFSghJYjVYnh6WT+kUxVYswnkLGB3y+eSIwfpz4chcT0IUp+ZURi/Dj14SgkBolJpZ12KjF6Y7/sienzB4npc/R2lD1FiUFgqrUrJKYatxTPQmJSjEq1MiEx1bileBYSg8Sk0i6RmAiRQGIiQOw4idQkRh6hfMq3TlTyMsvD9jtS3bjs1uxdMHzKCSAx5Yz6cgQS05dIlZcTiSln1JcjkBgkJpW22qnE9O19MHlBS1ViUmlkfShHShJz44++rs777tkZtlMPXaGuOH5tHxAmU0YkJplQ1C4IElMbYTIJIDHJhKJ2QZAYJKZ2I4qUQKcS8/imp6a9HyZSnVpPBolpHXn0DFORGB6hXD+0SEx9hqmkgMSkEon65UBi6jNMJQUkBolJpS12KjHm08hcQPR7Y1KBxUxM6pGoXr4UJAaBqR4/80wkJg7HFFJBYlKIQpwyIDFxOKaQChKDxKTQDqUMnUvM2ksvUPbG/m/cfKe65mu3qA03XZUKp8JypDoTw9PJ/JtP1xKDwPjHquxIJKaMUH9+j8T0J1ZlJUViygj15/dIDBKTSmtNUmLuvf9htfLCyxUzMfWaCRLjz69LiTEF5srRO2BOOeQD/gXnyJ0IIDHDaRRIzHBiicQMJ5ZIDBKTSmtOUmIu+/IN6jv/cB8zMTVbCRLjD7ArifnMvReqv/7+1VlBERj/eBUdicTE4ZhCKkhMClGIUwYkJg7HFFJBYpCYFNqhlKF1idGzLGUAXMvMys7p6vepLifrikcf8+1CYs6/c6X65iPrskcn3/je29Rhc47oI7rkyozEJBeSygVCYiqjS+5EJCa5kFQuEBKDxFRuPJFPbF1izPLzssvI0SS5ygTalhgEpnKoSk9EYkoR9eYAJKY3oSotKBJTiqg3ByAxSEwqjbVTiUkFQt1yMBNTl2D357cpMQhMs/FGYprl22bqSEybtJvNC4lplm+bqSMxSEyb7a0oLyQmQiRSlRj2xPgHty2JQWD8Y1L1SCSmKrn0zkNi0otJ1RIhMVXJpXceEoPEpNIqO5eY4973MbXl6a1OHjydrF4zQWL8+bUhMQiMfzzqHInE1KGX1rlITFrxqFMaJKYOvbTORWKQmFRaZKcSs3zlGjVv7r7qijXnpsKjUjmYiamELamTmpYYBKa9cCMx7bFuOickpmnC7aWPxLTHuumckBgkpuk25pt+pxLDxn7fMHFc0wSalBgEpunoTU8fiWmXd5O5ITFN0m03bSSmXd5N5obEIDFNtq+QtJGYEFo5x6Y6ExOhamOTRFMSo98Dw2OU22tKSEx7rJvOCYlpmnB76SMx7bFuOickBolpuo35pt+pxMhysmVLl6jTlx3vW94kj0NikgxLUKGakJgv3H+xunz0B4EJCkXtg5GY2giTSQCJSSYUtQuCxNRGmEwCSAwSk0pj7FRi5MWXF33+WrXhpqta5XH+6qvVHRseyPI8fOHBav3a1V75f+PmO9Vnr1yn7BdxpioxbOz3Cmt2UGyJQWD82cc+EomJTbS79JCY7tjHzhmJiU20u/SQGCSmu9Y3PedOJUb2xBR9mng6mYjINV+7ZUqcZDbo6KMWqlXnnFZYFn2ePEkNiUml+cYrR0yJ0QIjpbvyXV9RpxzygXgFJaVSAkhMKaLeHIDE9CZUpQVFYkoR9eYAJAaJSaWxdioxXUCwpcWWGleZzBkj18MImInpIpJx84wlMQhM3LhUSQ2JqUItzXOQmDTjUqVUSEwVammeg8QgMam0zLGTGHkvzYc/ePLUPhwRlJUXXq7yZn3s3/dJYlJpZH0oRwyJufFHX1fnfffsrLprjr1MnXXkR/pQ9cGVEYkZTkiRmOHEEokZTiyRGCQmldY8dhIjEvLp81bsJDG3Xn+JWjB//2lxeXzTU2rpGZ9Q5u9cErP1+VdSiSflqEhAbrAzZsxQL728vVIK/8/Gdeq/3vqh7NxPvv3/zv7w6YaA3GAnJ2eoF7dVi2U3pSZXF4FZo1jOmjlDvfASsex7C5k5uiZnz5pUz7/0at+rMvblnzkxQ+06e1L9+kViKY1hrzfPGvs20RWAziVGlnf94NGfZvXXe01EFN5z3NGNvAQzZCZGb+R3BccUITrlrppvvHxnTYrEKPXyq68FJ/rwfzyoln7jXeqZl55Rn1ry39Sn/hiBCYYY8QQZLE1OTKhtrzDwjYi1k6RksDQ5ujaJZSf4o2Y6OYqlSGnVL4qiFobEahGYGMVSviwiljswvnnXmbV4cnJ1Ap1KjAjMvLn7ZrIicnHxJ89SSxYvUj77VKpWucqeGDOvPi0n4+lk/q2k6nKynz/3uHrPDX+ktm57Rv3lUeeqzyy51D9TjmyEAMvJGsHaSaIsJ+sEeyOZspysEaydJMpysunY5+27WydxIFOlOpUYEQK9VMuUmLJ9KnUCV/Z0ssu+fIO6bv1tuXtkkJg69NM9t4rEiMD8xbdOUD979jF16qEr1BXHr023gmNUMiRmOMFGYoYTSyRmOLFEYpCYVFpzpxIj4rLui5/K9qK0NRMj4IveE4PEpNI02y1HqMSYAvP2+e9QN773tnYLTG65BJCY4TQOJGY4sURihhNLJAaJSaU1dyoxIgzf+Yf7sne2aIlZMP8t2Wb6M5efWPrullQgpvqI5VT49KEcIRIjS8dOuXmp2rj5QXXYfkeqG5fdqvaavXcfqjkWZURihhNmJGY4sURihhNLJAaJSaU1dyoxAkEvHTOBmJvmUwFVVA4kpg9RKi5jiMR86O+Xq9t+8m114J4Hqb977+3qgD0W9B/AgGqAxAwnmEjMcGKJxAwnlkgMEpNKa+5cYlIBUaccSEwdemmc6ysxn7n3QvXX378agUkjbM5SIDEJByewaEhMILCED0diEg5OYNGQGCQmsMk0dninEqP3ptgvmmzyEctNkExVYng6mX+0fSTmC/dfrC4f/ZGlY7IH5rA5R/hnwJGtEUBiWkPdeEZITOOIW8sAiWkNdeMZITFITOONzDODTiXGfmeLLnOTj1j25BJ0GBIThCvJg8sk5toHv6RW37MqK/vf/Nk31QkHn5RkPSiUUkjMcFoBEjOcWCIxw4klEoPEpNKaO5UY1+OKBUyTj1huAjwS0wTVdtMskpj7Nt2TPUpZPmuOvUyddeRH2i0cuQURQGKCcCV9MBKTdHiCCofEBOFK+mAkBolJpYF2KjHMxKTSDChHnsSYL7O8YPFF6uOjP3zSJoDEpB2fkNIhMSG00j4WiUk7PiGlQ2KQmJD20uSxnUqMLBv77JXrpl54KRV9fNNT2SOW+/SEslRnYppsOENL2yUxvMyyn1FGYvoZN1epkZjhxBKJGU4skRgkJpXW3KnECATXI5bXXnqBWrJ4USqMSsuBxJQiSv4AW2Lsd8Hcsfy+5OtAAXcQQGKG0xKQmOHEEokZTiyRGCQmldbcucSkAqJOOVKVGJ5O5h9VW2LMd8HcPhIYXmbpz7LrI5GYriMQL38kJh7LrlNCYrqOQLz8kRgkJl5rqpcSElOPX3Y2EhMBYsdJmBKj3wUj4nLHaf/Eyyw7jk1o9khMKLF0j0di0o1NaMmQmFBi6R6PxCAxqbTOziVGNvdveXqrk4f9/phUoNnlQGJSjYx/ubTEfOG+K6cepSwCw7tg/BmmciQSk0ok6pcDianPMJUUkJhUIlG/HEgMElO/FcVJoVOJWb5yjZo3d191xZpz49Smo1RSlZiOcPQyW5GYW3/ybXXaTe/Pyn/lu76iTjnkA72sy7gXGokZTgtAYoYTSyRmOLFEYpCYVFpzpxKT956YVOD4lgOJ8SWV7nFPv7xJHfu1P1TPvPSM4lHK6cbJp2RIjA+lfhyDxPQjTj6lRGJ8KPXjGCQGiUmlpSIxESKBxESA2GES8ijlU28+UT229X+pUw9doa44fm2HpSHrugSQmLoE0zkfiUknFnVLgsTUJZjO+UgMEpNKa+xUYmQ52bKlS9Tpy45PhUelcqQqMTydrDyc5qOUj9j/KHXDyX/Pk8jKsSV9BBKTdHiCCofEBOFK+mAkJunwBBUOiUFighpMgwd3KjHyjpiLPn+t2nDTVQ1WsfmkkZjmGTeVw/l3rlTffGSdOmiv31F/f/p31d4z5zWVFem2RACJaQl0C9kgMS1AbikLJKYl0C1kg8QgMS00M68sOpUY2RNT9OHpZF4xzD2ImZhifl+4/2J1+eiPPEr53v/yL+p39v4d9ewLr9SDztmdE0BiOg9BtAIgMdFQdp4QEtN5CKIVAIlBYqI1ppoJdSoxNcuezOmpzsQkAyjBgtz4o6+r8757dlayv3vv7erd/+lP1MTEDCQmwViFFgmJCSWW7vFITLqxCS0ZEhNKLN3jkRgkJpXW2bnEyJKylRdePo3H2ksvUEsWL0qFUWk5kJhSREkdsHHLQ+qUb52oZD/MmmMvU2cd+RFlvuwyqcJSmGACSEwwsmRPQGKSDU1wwZCYYGTJnoDEIDGpNM5OJeYbN9+pPnvlOnXr9ZeoBfP3z5g8vukptfSMT6hPn7eiNxv+kZhUmnN5OeRJZH/xrRPUz559TP3lUeeqzyy5NDsJiSln15cjkJi+RKq8nEhMOaO+HIHE9CVS5eVEYpCY8lbSzhGdSsxx7/uY+vAHT95JVkRurvnaLb3Z8J+qxLAnZvpFZD6J7O3z36FufO9tUwcgMe10OG3kgsS0QbmdPJCYdji3kQsS0wbldvJAYpCYdlpaeS6dSkzeyy71EjM29pcHsOgIJGY6Hf0ksgP3PEjdvvy+aY9SRmLqtbWUzkZiUopGvbIgMfX4pXQ2EpNSNOqVBYlBYuq1oHhndyoxzMTEC6QrJSTmN1TMJ5Hdcdo/qQP2WDANGRLTbFtsM3Ukpk3azeaFxDTLt83UkZg2aTebFxKDxDTbwvxT71Ri2BPjHyiOrE7g2ge/pFbfsypLQJ5Edsz8Y3dKDImpzje1M5GY1CJSvTxITHV2qZ2JxKQWkerlQWKQmOqtJ+6ZnUqMVIWnk8UNKKlNJyBPInvPDX+U/VA/iczFCIkZTstBYoYTSyRmOLFEYoYTSyQGiUmlNXcuMamAqFOOVDf216nTEM7NexIZEjOE6ObXAYkZTnyRmOHEEokZTiyRGCQmldaMxESIRKoSM857YuRJZCesPyZ7lLL9JDIkJkKjTzgJJCbh4AQWbVwl5vnXt6sXXn8tkFb54S+o1xpJtzxnpWbNnKF2mz1TPfv8K2rL66/4nDL4Yza/1k8Ok6MXQ8/eZVK98NKrg4+RTwXP/e0DfA7jmAYIdCIxei+M610wRb+LVf/zV1+t7tjwQJbc4QsPVuvXrs5NWpdHH+A6HomJFZl46cjLLL+36W7lehIZEhOPc4opITHdRyVvEL7l9fxBz44B9vZphZ81c2I0+J1Qm198eaff2bWU85/3GPhvCRg4Pu8oUxldkQ+pPx8IQGA8CPzjQUeOR0UTrGUnErN85Ro1b+6+6oo15zqRiGQ88eQvC+WiKkv7HTRSlqOPWqhWnXNablnOP/uUqZdxyhPVTnr3MdOOR2KqRqOZ8z5z74Xqr79/dSYwspHffhIZEtMM91RSHUeJMb/Rtb9tt+VABvq2LGy25MI10HcN6BmwN9Pq3zxjUr1pxkT0xN80SvfNKn66PgWV6kxOTKhXX31NzZmY5XPK4I/Zb8bMXtaRmZjpYWMmprtm3InE5L0fRmNo8j0xtrSEvlhTBEs+poClKjHdNavucjafRCaPUj5szhFehWFjvxemXhyUosSYMxPmbIReVmOKhTmjYMqEKRGpy0PeIHy/GfmDVxm0yyDb/MwcLVuZnJyhtr3ymiob8GUDdI+B/5yCMtgNPCtT4KBfzpH685lOgD0xw2kR7ImZHst5++42nOD2rCZjJzH2u2lChck1c4PEpNHq79t0j/qLb52QFebKd31FnXLIB7wLhsR4o0r+wNgSI7Mc5uyGFg89+6FnMUzh2PzGmv+21rzvZ3yz7fq23fzmWwb69sDcPF8CLGnYx7gG9E0P2Md1T0zyF1mFAiIxFaAlegoSg8Sk0jQ7kRgRiYs/eZZasniRk4OIxUWfv1ZtuOmq6JxkFsjci6Ml5tbrL5laMpaXqd4fs/Gu66KXiwTrEXhs62PqqGuOUs+89Iz6zDs/o1Yfl7/PqV5OnN1HAr9+bbuSP09t37GR9slXX87+bf6Rn+nfmX/HqO/uE5NK/shn7sxdppLU/23+Pu9Y+bmeaTCPiVE+0oAABCAAAQj0jUAnEnPZl29QD3z/0dw9L2V7ZupArjoT43oxpy5HqjMx4/J0MvNRyqceukJdcfza4CbCTEwwss5PkFkOvTRLZkf0jMm2ideVzIps3S5PeNqe/bzOR2YpzNkNPauhlzfpWQxzmdKcN9a62zMcdcoxjucyEzOcqDMTM5xYMhMzPZYsJ+uubXciMVJdkQn52LMt8vMtT29VTc12VNkTUyQwUgckprsGLI9SPuXmpWrj5gfVYfsdqW5cdqvaa/bewQVCYoKRNXaClhNZwrXjv1/JnjolYiL7QrK/Kzz9SYRC78kQEdHLqvReCi0hetkUAtJYiL0TRmK8USV/IBKTfIi8C4jEIDHejaXhAzuTGKmXzMhct/62aVV8z3FH5z61LAaLsqeT6TJpibL/7SoDEhMjMtXSOP/Oleqbj6wLehKZKyckphr/0LMee21b9p4KPXMi+0mqyoktJTIzIkLyW7Nmqnm7zFa/fvFVJTMiyEholNI5HolJJxZ1S4LE1CWYzvlIDBKTSmvsVGK6glD0nhhbWvTMkF1Wcw9NqhLTFd+28v3C/Rery0d/ZOZFnkTm8yjlvLIhMXGipiVlx9/blf63bHT3Xdal5URmRLKlXKOnQ8nfMlMiPxMxKXr6U+yN/XHIkEoVAkhMFWppnoPEpBmXKqVCYpCYKu2miXPGUmJig0RiYhMtT898lLK8C+aY+ceWn1RwBBLjj0/ERPai6KVej23fpnwlxRSUgyZmZzMnO/4ulxPfEiIxvqTSPw6JST9GviVEYnxJpX8cEoPEpNJKkZgIkUBiIkAMSOLGH31dnffds7Mz1hx7mTrryI8EnO0+FImZzsWcUZGlX76ioiVF9pzI8q6DJnfNZlLaXNaFxNS+HJJJAIlJJhS1C4LE1EaYTAJIDBKTSmNEYiJEIlWJGeLTyTZueUid8q0TlWzov2DxRerjoz8xPuMqMXpW5bHtL2VLv6b2qBRsnBcxkbd+HzQ5O1vipWdS5O8UPkhMClGIUwYkJg7HFFJBYlKIQpwyIDFITJyWVD8VJKY+Q55OFoGhTxLmo5T/8qhz1WeWXOpzmtcxQ5cYeZrX46+9nInKI9tfyDbX/3D0d95H9pyIlKQqKkVBRWK8mnwvDkJiehEmr0IiMV6YenEQEoPEpNJQkZgIkWAmJgLEkiRMgTnxrX+uvvqn66NmOiSJ0bMrIiuyDEz+nfdIYlNWRFpkZmXBxC6FG+ejgm8gMSSmAagdJYnEdAS+gWyRmAagdpQkEoPEdNT0dsoWiYkQiVQlJkLVkkgi1rtgiirTV4nxFRbXzErfZSUvnkhMEpdtlEIgMVEwJpEIEpNEGKIUAolBYqI0pAiJIDERICIxESDmJGEKzIF7HqTkSWR1HqWcV9I+SIw8EUwvByuaYZHN9dlSsGw52K7ZpvpU9qs011J+kzIS0wbldvJAYtrh3EYuSEwblNvJA4lBYtppaeW5IDHljEqPQGJKEVU+INbLLMsKkKLEPLL9xd9Ii2y6H72p3v6YwnLo5Jt6vxSsLE4+v0difCj14xgkph9x8iklEuNDqR/HIDFITCotFYmJEIlUJabvTyfTAhPjZZZlYe5aYvTG+3/d/utsH4tr071eEnbo5G7ZDMuOPSwzy6o2dr9HYoYTciRmOLFEYoYTSyQGiUmlNSMxESKBxESAaCXxhfsvVpeP/ojA3Pje29Rhc46In4mRYtsSYy4N+6HMuIwecWx/tKi8bSQtC95YHtYohIEkjsQMJJCjaiAxw4klEjOcWCIxSEwqrRmJiRAJJCYCRCOJtgVGsm5aYrS0PPDqaKZltDTMJS1vGy0Hk0ca/8Hk7iwLq9GkkJga8BI7FYlJLCA1ioPE1ICX2KlIDBKTSpNEYiJEIlWJiVC11pPQAiMZX/mur6hTDvlAK2WILTGyPOxHr72UvZPFNdOil4b9wczds2VhskSMTxwCSEwcjimkgsSkEIU4ZUBi4nBMIRUkBolJoR1KGZCYCJFAYiJAHCXRlcBI6WNIjGzEz9vTgrTEaSM+qSAxPpT6cQwS0484+ZQSifGh1I9jkBgkJpWWisREiAQSUx9ilwJTVWJkiZjMtMgSMREY+4WSsjxMZljkqWHMtNRvI74pIDG+pNI/DolJP0a+JURifEmlfxwSg8Sk0kqRmAiRSFVi+vJ0sq4Fxldi9BKxHdLywk6PPJaN+LIJnz0tES6qGkkgMTXgJXYqEpNYQGoUB4mpAS+xU5EYJCaVJonERIgEElMdYgoCUyQxO14uOVomNhIX+7HH+h0tR4/2tchsC487rt4OYp6JxMSk2W1aSEy3/GPmjsTEpNltWkgMEtNtC/xN7khMhEggMdUgmu+BuWK0if+Eg0+qllCEs8w9MSItd7/6rHO2RZaIsRk/AvAGk0BiGoTbctJITMvAG8wOiWkQbstJIzFITMtNLjc7JCZCJFKVmAhVaySJrdueUafcvFRt3Pxga++BKaqI7G35ycQ29c8vP6cefvn5aXtbZLZFZllktuWQiV2VbNDnkzYBJCbt+ISUDokJoZX2sUhM2vEJKR0Sg8SEtJcmj0ViItBFYvwh/vy5x9VffOsE9bNnH1MH7nmQ+rv33q4O2GOBfwKRjtRPEnM9/lj2thw9+WY25Edi3XYySEzbxJvLD4lpjm3bKSMxbRNvLj8kBolprnWFpYzEhPFyHo3E+EHcuOUh9aG/X96JwBRtypfZlUW7vFn90ew91MHbZ7O3xS+cyR6FxCQbmuCCITHByJI9AYlJNjTBBUNikJjgRtPQCUhMBLCpSkxKTye79sEvqdX3rMpon/jWP1dfOH5ttpSsyY9+BPLdrzzr3JQvy8TeMXPP7PHHMd4T02RdSNufABLjzyr1I5GY1CPkXz4kxp9V6kciMUhMKm0UiYkQCSQmH6Lsf7niXz6n/vr7V2cHXbD4IvXx0Z+mPkXLxPSmfJGWgyZmTysCEtNURNpPF4lpn3lTOSIxTZFtP10kpn3mTeWIxCAxTbWt0HSRmFBijuORGDdEc/+LzLqIvJx15EciEP9NEmXLxERYfB6BjMREDUuniSExneKPmjkSExVnp4khMZ3ij5o5EoPERG1QNRJDYmrA06emKjERqlY5CfP9L7E38Je9u8VcJuZbASTGl1T6xyEx6cfIt4RIjC+p9I9DYtKPkW8JkRgkxretNH0cEhOBMBLzG4jm7Iv89C+POld9ZsmltSjrvS3yJLFHtr+gNr/2yrT09DIxmXGp+sJJJKZWiJI6GYlJKhy1CoPE1MKX1MlITFLhqFUYJAaJqdWAIp6MxESAicQoJfJy+f0Xq28+si4jKrMvVxz/FXXM/GODCcsSscdfe1n96/Zfjzbkv6ge2/7StDSaeHcLEhMcpmRPQGKSDU1wwZCYYGTJnoDEJBua4IIhMUhMcKNp6AQkJgLYVCWmjaeTibyIuHzzR1/PHp0sH9m8/6HR3hffp49paZFZFtmY/8PR3/anaFN+hBDydLIYEBNJA4lJJBARioHERICYSBJITCKBiFAMJAaJidCMoiSBxHhgPH/11eqODQ9kRx6+8GC1fu3qaWeNo8SIvFz74NXqtp98e0peTj10RSYwZS+vlOVhO/a1vDCaZdmWKy0HTc5WfzC5e/YI5KY/zMQ0Tbi99JGY9lg3nRMS0zTh9tJHYtpj3XROSAwS03Qb800fiSkh9Y2b71TXfO0WteGmq7Ijl69co44+aqFadc5pU2eOk8Tc/tPvZDMvIi/68/b578iePOZaOiaykknLaEmY3pAvMy/2R2ZaRFpkU/4hE7sqeQFlmx8kpk3azeaFxDTLt83UkZg2aTebFxLTLN82U0dikJg221tRXkhMSSRsabGlRk5PVWJiNLKNWx5SPxz9EWm5b9M9St77oj8y83LqIR9QR8x7eyYq8kc23WeOt2NrAAAOPElEQVTi8sbfLmERQZH3tMgMi0jLgoldWpcWmw0SE6O1pJEGEpNGHGKUAomJQTGNNJCYNOIQoxRIDBITox3FSAOJKaF43Ps+pj78wZPV6cuOz4689/6H1coLL1cb77pu6sy+SowIybPbtqpnXx79eeNv2dfy8+ceUxs3P6REYExpkQrvvs9CtfCwD6p5v71Y7bPHgZmsuERFw9HComdZ5Olh9osmYzTkumkgMXUJpnM+EpNOLOqWBImpSzCd85GYdGJRtyRIDBJTtw3FOh+JKSF52DvPVJ8+b8VOEnPr9ZeoBfP3VzPWzIgViyTT2XX3eZm4zFnwJ2rvuUcr+bfr85932U3tPjGp5O+5M3fJ/v5Ps3bNfsYHAhCAAAQgAAEIQAACMQkgMSU0y2ZiUpaYBWqBetfof38z+p/rM3OXPZT5Z+9d91Zz9jwwExURl7lz3qbkZ/IRMREhkT/mfyMqMS9H0oIABCAAAQhAAAIQ8CGAxJRQ6vOemDYesezTyPpwDMvJ+hAlvzKynMyPUx+OYjlZH6LkV0aWk/lx6sNRLCebHqV5+zb/BNU+tIsuyojElFDn6WRdNMv280Ri2mfeVI5ITFNk208XiWmfeVM5IjFNkW0/XSQGiWm/1blzRGI8ItHX98R4VI1D3iCAxAynKSAxw4klEjOcWCIxw4klEoPEpNKakZgIkejr08kiVH0wSSAxgwmlQmKGE0skZjixRGKGE0skBolJpTUjMREigcREgNhxEkhMxwGImD0SExFmx0khMR0HIGL2SExEmB0nhcQgMR03wanskZgIkUhVYtjY7x9cJMafVepHIjGpR8i/fEiMP6vUj0RiUo+Qf/mQGCTGv7U0eyQSE4EvEhMBYsdJIDEdByBi9khMRJgdJ4XEdByAiNkjMRFhdpwUEoPEdNwEmYmJGQAkJibNbtJCYrrh3kSuSEwTVLtJE4nphnsTuSIxTVDtJk0kBonppuXtnCszMalEgnJAAAIQgAAEIAABCEAAAl4EkBgvTBwEAQhAAAIQgAAEIAABCKRCAIlJJRKUAwIQgAAEIAABCEAAAhDwIoDEeGHiIAhAAAIQgAAEIAABCEAgFQJITMVInL/6anXHhgeysw9feLBav3Z1xZQ4rUsC37j5TvXZK9dNFYFYdhmNeHnruK699AK1ZPGieAmTUqsEjnvfx9SWp7dmeX76vBXq9GXHt5o/mcUhcNmXb1DXrb9tKjGuyzhc20xl+co16uijFqpV55w2LVvGQm1GgbxsAkhMhTYhA6RrvnaL2nDTVdnZeRd3haQ5pWUC0gGff/YpasH8/bOcZdB00ruP2amjbrlYZFeDgL4+ZfDLYKkGyI5PPeydZ6ozl5/ItdhxHOpmr79Q2HjXdVlS9r/rps/5zRIwJcW+HhkLNcue1MsJIDHljHY6wpYW+0KukCSnJEJAOmz5XLHm3ERKRDFCCNx7/8Pqos9fm33BIINgJCaEXjrHyjf3Tzy5heswnZBULonE8oHvPzq1WuHxTU+ppWd8Qt16/SVTXx5VTpwTWyPg+oKPsVBr+MkohwASU6FpyMX84Q+ePLW0QQZOKy+8XOlvmiokySmJEGBWLZFAVCiGfR0iMRUgJnKKXIdPbn56aimZFItBbyLBqVAMuRbn7LNX9uUCgloBYAKnuCSGsVACgRnzIiAxFRqAdMjm+mw9eOImWwFmQqewzCGhYAQWxfXtLhITCDGhw+0Bk95TwRdFCQUpoCi2lDJDGgAvkUNdEsNYKJHgjHExkJgKwefbhwrQEj9FCwwimnigcopnP6DBPIwN4f2Lqd3HsgSpfzHUJbZnXvSXfohMv2LKTEy/4jUupUViKkSadaAVoCV8CgKTcHBqFI2ZmBrwOj7V7mORmI4DUiN71xJd+xv8GslzaksE2BPTEmiyCSKAxATh2nEwT+SoAC3RU1imkmhgIhQLiYkAsaMk7KWd8sCNJ578JY+y7ygedbK1+1i+NKpDs7tzXRLDWKi7eJDzDgJITMWWwLPRK4JL7DTzPRRm0VhWlligKhQHiakALaFTzHeL6E3hCRWPogQQMO+Xchr9awC8jg+1YyfFMfemMRbqOEBjnj0SM+YNgOpDAAIQgAAEIAABCECgbwSQmL5FjPJCAAIQgAAEIAABCEBgzAkgMWPeAKg+BCAAAQhAAAIQgAAE+kYAielbxCgvBCAAAQhAAAIQgAAExpwAEjPmDYDqQwACEIAABCAAAQhAoG8EkJi+RYzyQgACEIAABCAAAQhAYMwJIDFj3gCoPgQgAAEIQAACEIAABPpGAInpW8QoLwQgAAEIQAACEIAABMacABIz5g2A6kMAAhCAAAQgAAEIQKBvBJCYvkWM8kIAAhCAAAQgAAEIQGDMCSAxY94AqD4EIAABCEAAAhCAAAT6RgCJ6VvEKC8EIAABCEAAAhCAAATGnAASM+YNgOpDAAIQgAAEIAABCECgbwSQmL5FjPJCAAIQgAAEIAABCEBgzAkgMWPeAKg+BCAAAQhAAAIQgAAE+kYAielbxCgvBCAAAQhAAAIQgAAExpwAEjPmDYDqQwACEIAABCAAAQhAoG8EkJi+RYzyQgACEIAABCAAAQhAYMwJIDFj3gCoPgQgkAaBw9555k4FOXP5iWrVOaep4973sex3G266atoxj296Si094xPqPccdra5Yc272u6J0lq9co37w6E9zKzxnn72yPCS/LU9v3ek4/Xv5hT5m7aUXqCWLF007VpfB9Ts58LIv36CuW39bIfivXr5KfeiCy6Yds/Gu67J/n7/6anXHhgeU5mMepOto/s6nPmm0AkoBAQhAAAK+BJAYX1IcBwEIQKABAlpE7AG5/HzFRz83JS4iBvYxMmCXz/q1q5VvOroK+niXaMig/6R3H5MJVN5Hi4EpUHLsN26+U332ynXZaXkSY6dZlJ/Ucd7cfackzZQYU6rk57pO8t+2xJTVp4HQkiQEIAABCDRIAIlpEC5JQwACECgjoGcl9CxD3vFaDm69/hK1YP7+U7Kg/+2bTkyJETGQGRVdBklbhOT3F/1uNlPSpMRIXv/28I/Vhz94sjp92fFZtWSGRj72LI2PlJXFid9DAAIQgEBaBJCYtOJBaSAAgTEjYMtJUfXNmReZmfn0eSumBvAh6UgeMWZiRCDu//dHsiLLcrZ7739YXfT5a9XFnzxLrbzw8sYlZvHvHaqu+dot02arRKhkiR0zMWN2IVFdCEBg7AggMWMXcioMAQikRsDes+Ha62GKh/z34QsPzpaRmR/fdHwkxmdPjEjMgfPekgmLyMOqv7pGLVu6ZOpnTc/EiDhpmfv5LzarJ57cksmUvfSOPTGptXjKAwEIQKA+ASSmPkNSgAAEIBCFgLmfJE9U9LIxcwmXnblPOrFmYmQpl54henLz09msiMzItDETI8IiPB74/qPZAws0E5fEsCcmShMlEQhAAALJEEBikgkFBYEABCDwGwJaROzZjNBlY3npxJQYLS16BqlNiRFiIi3mzBQSw5UEAQhAYPgEkJjhx5gaQgACCROQzej68chmMfNEIE9iQtOJKTFSblmypR8B3bbESN3f/2fHTT3qGYlJuMFTNAhAAAKRCCAxkUCSDAQgAIEqBPQ7T8xN+loK5u63z077XookRp7K5ZtObInxEbA8PlUesSxpueRPz8ywsb9Ka+QcCEAAAv0hgMT0J1aUFAIQGCgB18sf7fev6KoXLScLSadMYnw39uvHG8eWGPOdLzpt82WXoRJTVp+BNi2qBQEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBJCYYcaVWkEAAhCAAAQgAAEIQGCwBJCYwYaWikEAAhCAAAQgAAEIQGCYBP5/Z+XwYZG2Bb4AAAAASUVORK5CYII=", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at a bin FAR from the central bin 4\n", "bio.plot_history_single_bin(bin_address=0, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the SLOW arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.\")" ] }, { "cell_type": "code", "execution_count": null, "id": "eb14d7e6-b6ef-447c-ba48-3d1d0ebdc16c", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }