{ "cells": [ { "cell_type": "markdown", "id": "8382e30e-2fac-41f1-ae50-baf0fc9f4f22", "metadata": {}, "source": [ "# Membranes in 1D : Data Structure\n", "\n", "## Data Structure and Visualization of Membranes in 1D\n", "\n", "No simulations done here; for diffusion and transport across membranes, please see `membranes_2` and other experiments" ] }, { "cell_type": "markdown", "id": "d5cc70a6-8aea-4b15-9351-af69a3664dab", "metadata": {}, "source": [ "### TAGS : \"membranes 1D\", \"basic\", \"quick-start\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "2b08132b-3002-444a-aaa4-68eb37342237", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"May 18, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "1302ee3c-4c75-4e67-9b77-d75d27d6d29a", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "911ca4cb", "metadata": {}, "outputs": [], "source": [ "#import sys, os\n", "#os.getcwd()\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 BioSim1D, ChemData, check_version" ] }, { "cell_type": "code", "execution_count": 4, "id": "ff5b7f09-0b8b-4b10-bf4f-cb5b7b9f269a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "0b243ad6-10d9-420e-b786-1be74bfe36de", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "6faab103-5731-4c26-ad2a-a36a117167a1", "metadata": {}, "source": [ "## Prepare the initial system\n", "with a single non-zero bin concentration of the single chemical `A`, near the left edge of the system" ] }, { "cell_type": "code", "execution_count": 5, "id": "35b682f7-dfbd-44ec-8e72-6165b66a1007", "metadata": {}, "outputs": [], "source": [ "chem_data = ChemData(names=[\"A\", \"B\"], plot_colors=[\"turquoise\", \"green\"])\n", "\n", "bio = BioSim1D(n_bins=21, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 6, "id": "733f6bbe-956e-46f1-87ae-50e91e44f6e1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "21 bins and 2 chemical species:\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", " \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 7...Bin 11Bin 12Bin 13Bin 14Bin 15Bin 16Bin 17Bin 18Bin 19Bin 20
0ANone0.05.000010.00000015.0000020.00000025.00000030.00000035.000000...55.00000060.00000065.00000070.00000075.00000080.00000085.00000090.0000095.000000100.0000
1BNone10.012.816614.65436914.8746413.40086410.7452117.8305815.669873...11.47377613.90915714.98601914.33012712.1694199.2547896.5991365.125365.3456317.1834
\n", "

2 rows × 23 columns

\n", "
" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A None 0.0 5.0000 10.000000 15.00000 20.000000 \n", "1 B None 10.0 12.8166 14.654369 14.87464 13.400864 \n", "\n", " Bin 5 Bin 6 Bin 7 ... Bin 11 Bin 12 Bin 13 \\\n", "0 25.000000 30.000000 35.000000 ... 55.000000 60.000000 65.000000 \n", "1 10.745211 7.830581 5.669873 ... 11.473776 13.909157 14.986019 \n", "\n", " Bin 14 Bin 15 Bin 16 Bin 17 Bin 18 Bin 19 Bin 20 \n", "0 70.000000 75.000000 80.000000 85.000000 90.00000 95.000000 100.0000 \n", "1 14.330127 12.169419 9.254789 6.599136 5.12536 5.345631 7.1834 \n", "\n", "[2 rows x 23 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.inject_gradient(chem_label=\"A\", conc_left = 0., conc_right = 100.)\n", "\n", "bio.inject_sine_conc(chem_label=\"B\", number_cycles=2, amplitude=5., bias=10., phase=0)\n", "\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 7, "id": "db59014c-fc65-4e5a-bca6-8e0a3ffd3d41", "metadata": {}, "outputs": [ { "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", " \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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
AB
00.010.000000
15.012.816600
210.014.654369
315.014.874640
420.013.400864
525.010.745211
630.07.830581
735.05.669873
840.05.013981
945.06.090843
1050.08.526224
1155.011.473776
1260.013.909157
1365.014.986019
1470.014.330127
1575.012.169419
1680.09.254789
1785.06.599136
1890.05.125360
1995.05.345631
20100.07.183400
\n", "
" ], "text/plain": [ " A B\n", "0 0.0 10.000000\n", "1 5.0 12.816600\n", "2 10.0 14.654369\n", "3 15.0 14.874640\n", "4 20.0 13.400864\n", "5 25.0 10.745211\n", "6 30.0 7.830581\n", "7 35.0 5.669873\n", "8 40.0 5.013981\n", "9 45.0 6.090843\n", "10 50.0 8.526224\n", "11 55.0 11.473776\n", "12 60.0 13.909157\n", "13 65.0 14.986019\n", "14 70.0 14.330127\n", "15 75.0 12.169419\n", "16 80.0 9.254789\n", "17 85.0 6.599136\n", "18 90.0 5.125360\n", "19 95.0 5.345631\n", "20 100.0 7.183400" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.system_snapshot()" ] }, { "cell_type": "code", "execution_count": 8, "id": "b1aaf88a-c657-44aa-bb26-3eff240d125b", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], "xaxis": "x", "y": [ 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
Bin number=%{x}
concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], "xaxis": "x", "y": [ 10, 12.81660029031811, 14.65436874322102, 14.874639560909118, 13.400863688854596, 10.74521133088087, 7.83058130441221, 5.6698729810778055, 5.0139810140940995, 6.09084258765985, 8.526224127945481, 11.47377587205452, 13.909157412340148, 14.9860189859059, 14.330127018922191, 12.169418695587792, 9.254788669119126, 6.599136311145401, 5.1253604390908825, 5.3456312567789785, 7.183399709681893 ], "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": "System snapshot at time t=0" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 20 ], "title": { "text": "Bin number" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -5.555555555555555, 105.55555555555556 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.visualize_system() # Line curve view" ] }, { "cell_type": "code", "execution_count": 9, "id": "d515adf1-29fd-4b66-aa5f-b6c2743e735c", "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:.0f}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 ] ] }, { "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:.0f}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 10, 12.81660029031811, 14.65436874322102, 14.874639560909118, 13.400863688854596, 10.74521133088087, 7.83058130441221, 5.6698729810778055, 5.0139810140940995, 6.09084258765985, 8.526224127945481, 11.47377587205452, 13.909157412340148, 14.9860189859059, 14.330127018922191, 12.169418695587792, 9.254788669119126, 6.599136311145401, 5.1253604390908825, 5.3456312567789785, 7.183399709681893 ] ] } ], "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": "green", "line": { "width": 0 }, "type": "rect", "x0": -0.7, "x1": -0.6, "xref": "x2", "y0": -0.485, "y1": 0.485, "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, 20.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 20.5 ], "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(text_format=\".0f\")" ] }, { "cell_type": "code", "execution_count": null, "id": "bcc9da93-58ec-4d05-9a44-2c4b00d906d8", "metadata": {}, "outputs": [], "source": [ "\n" ] }, { "cell_type": "markdown", "id": "a9d5b73e-4b6f-4ef2-8da5-614df189728a", "metadata": {}, "source": [ "# Add Membranes" ] }, { "cell_type": "code", "execution_count": 10, "id": "50adfdce-e856-4b4d-b286-b547a409f42a", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.set_membranes(membranes=[ (0, 5) ])" ] }, { "cell_type": "code", "execution_count": 11, "id": "ce80c69e-31f2-40bb-9de3-96f79538380d", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "[(0, 5)]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.membranes" ] }, { "cell_type": "code", "execution_count": 12, "id": "d7d98f48-26c4-4836-b7a1-7464acddb985", "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:.0f}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 ] ] }, { "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:.0f}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 10, 12.81660029031811, 14.65436874322102, 14.874639560909118, 13.400863688854596, 10.74521133088087, 7.83058130441221, 5.6698729810778055, 5.0139810140940995, 6.09084258765985, 8.526224127945481, 11.47377587205452, 13.909157412340148, 14.9860189859059, 14.330127018922191, 12.169418695587792, 9.254788669119126, 6.599136311145401, 5.1253604390908825, 5.3456312567789785, 7.183399709681893 ] ] } ], "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": -0.5700000000000001, "x1": -0.43000000000000005, "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": -0.5700000000000001, "x1": -0.43000000000000005, "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, 20.5 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 20.5 ], "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(text_format=\".0f\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "e372916f-7082-4475-a84d-3ee7a5a22e2d", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.set_membranes(membranes=[ (0, 5), (10, 11), (16,21) ]) # Overwrite previous membranes" ] }, { "cell_type": "code", "execution_count": 14, "id": "566f85d3-03e9-4b8a-9499-5667bfc74c6e", "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:.0f}", "type": "heatmap", "xaxis": "x", "xgap": 2, "y": [ "A" ], "yaxis": "y", "ygap": 2, "z": [ [ 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 ] ] }, { "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:.0f}", "type": "heatmap", "xaxis": "x2", "xgap": 2, "y": [ "B" ], "yaxis": "y2", "ygap": 2, "z": [ [ 10, 12.81660029031811, 14.65436874322102, 14.874639560909118, 13.400863688854596, 10.74521133088087, 7.83058130441221, 5.6698729810778055, 5.0139810140940995, 6.09084258765985, 8.526224127945481, 11.47377587205452, 13.909157412340148, 14.9860189859059, 14.330127018922191, 12.169418695587792, 9.254788669119126, 6.599136311145401, 5.1253604390908825, 5.3456312567789785, 7.183399709681893 ] ] } ], "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": -0.5700000000000001, "x1": -0.43000000000000005, "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": "brown", "line": { "width": 0 }, "type": "rect", "x0": 9.43, "x1": 9.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 10.43, "x1": 10.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 15.43, "x1": 15.57, "xref": "x", "y0": -0.48, "y1": 0.48, "yref": "y" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 20.43, "x1": 20.57, "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": -0.5700000000000001, "x1": -0.43000000000000005, "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" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 9.43, "x1": 9.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 10.43, "x1": 10.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 15.43, "x1": 15.57, "xref": "x2", "y0": -0.48, "y1": 0.48, "yref": "y2" }, { "fillcolor": "brown", "line": { "width": 0 }, "type": "rect", "x0": 20.43, "x1": 20.57, "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, 20.57 ] }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.7, 20.57 ], "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(text_format=\".0f\")" ] }, { "cell_type": "code", "execution_count": null, "id": "df0af912-6e54-4b5c-8d5e-c34c3dc99f31", "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 }