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"cells": [
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"cell_type": "markdown",
"id": "99bf0c38",
"metadata": {},
"source": [
"# Reaction-Diffusion in 1-D: `A + B <-> C` in 1-D, taken to equilibrium\n",
"#### Mostly forward reaction, with 1st-order kinetics for each species\n",
"\n",
"Initial concentrations of `A` and `B` are spatially separated to the opposite ends of the system;\n",
"as a result, no `C` is being generated.\n",
"\n",
"But, as soon as `A` and `B`, from their respective distant originating points at the edges, \n",
"diffuse into the middle - and into each other - the reaction starts,\n",
"consuming both `A` and `B`,\n",
"until an equilibrium is reached in both diffusion and reactions."
]
},
{
"cell_type": "markdown",
"id": "0830bd78",
"metadata": {},
"source": [
"### TAGS : \"reactions 1D\", \"diffusion 1D\", \"quick-start\""
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "ad8c5806",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Aug. 10, 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": "code",
"execution_count": 5,
"id": "4630f12e-842a-4aa8-99d4-bc6259551cbd",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system\n",
"chem_data = ChemData(names=[\"A\", \"B\", \"C\"], diffusion_rates=[50., 50., 1.], # `A` and `B` diffuse fast; `C` diffuses slowly\n",
" plot_colors=[\"red\", \"blue\", \"purple\"]) # Color choice is a reminder that red + blue = purple"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ff6f3c2d-dda5-4e9f-8bfe-078e0101bad7",
"metadata": {},
"outputs": [],
"source": [
"bio = BioSim1D(n_bins=7, chem_data=chem_data)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "dc6bceaa-d222-4777-a94a-d0fff38bd803",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A + B <-> C (kF = 20 / kR = 2 / delta_G = -5,708 / K = 10) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {\"A\" (red), \"B\" (blue), \"C\" (purple)}\n"
]
}
],
"source": [
"reactions = bio.get_reactions()\n",
"\n",
"# Reaction A + B <-> C , with 1st-order kinetics for each species; note that it's mostly in the forward direction\n",
"reactions.add_reaction(reactants=[\"A\", \"B\"], products=\"C\", forward_rate=20., reverse_rate=2.)\n",
"reactions.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e1739506",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "bef25a87",
"metadata": {},
"source": [
"# TIME 0 : Inject initial concentrations of `A` and `B` at opposite ends of the system"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "39bc3720",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"7 bins and 3 chemical species\n"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "bb6d38b4-1084-45d9-970c-f91dd030c9cd",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
[
0,
"white"
],
[
1,
"red"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
20,
0,
0,
0,
0,
0,
0
]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
"white"
],
[
1,
"blue"
]
],
"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,
20
]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.14416666666666667
},
"colorscale": [
[
0,
"white"
],
[
1,
"purple"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}C",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x3",
"xgap": 2,
"y": [
"C"
],
"yaxis": "y3",
"ygap": 2,
"z": [
[
0,
0,
0,
0,
0,
0,
0
]
]
}
],
"layout": {
"autosize": true,
"shapes": [
{
"fillcolor": "red",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x",
"y0": -0.485,
"y1": 0.485,
"yref": "y"
},
{
"fillcolor": "blue",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x2",
"y0": -0.485,
"y1": 0.485,
"yref": "y2"
},
{
"fillcolor": "purple",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x3",
"y0": -0.485,
"y1": 0.485,
"yref": "y3"
}
],
"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": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c4618c1f-2562-40af-b247-0e2b22f9490d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "7e439d4a-76a1-4b46-b214-d20b0415dd3a",
"metadata": {},
"source": [
"## Enable History"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "119b599d-d2c4-4aa2-8165-5990caf119ac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{0: {'A': 20.0, 'B': 0.0, 'C': 0.0},\n",
" 6: {'A': 0.0, 'B': 20.0, 'C': 0.0},\n",
" 3: {'A': 0.0, 'B': 0.0, 'C': 0.0}}"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's take a peek at the current concentrations of all chemicals in the bins with the initial concentration injections,\n",
"# as well as at the bin in the very center\n",
"bio.selected_concentrations(bins=[0, 6, 3])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "e94c5e69-65b8-4d08-89d8-331005da7b03",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"History enabled for bins [0, 6, 3], for ALL chemicals\n"
]
}
],
"source": [
"# Let's enable history for those same 3 bins\n",
"bio.enable_history(bins=[0, 6, 3], frequency=2, take_snapshot=True) # Taking a snapshot to include the current initial state in the history"
]
},
{
"cell_type": "code",
"execution_count": null,
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"### First step : advance to time t=0.002"
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"delta_t = 0.002 # This will be our time \"quantum\" for this experiment"
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"SYSTEM STATE at Time t = 0.002:\n",
"7 bins and 3 chemical species\n"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "09176639-0684-4ddf-91ee-076759871b95",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
[
0,
"white"
],
[
1,
"red"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
18,
2,
0,
0,
0,
0,
0
]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
"white"
],
[
1,
"blue"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "09759091",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "83833c08",
"metadata": {},
"source": [
"### Several more steps : advance to time t=0.016"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "a8c8a4ce",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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" [ 0. 0. 0. 0. 0.2 3.4 16.4]\n",
" [ 0. 0. 0. 0. 0. 0. 0. ]]\n",
"SYSTEM STATE at Time t = 0.006:\n",
"[[15.1 4.38 0.5 0.02 0. 0. 0. ]\n",
" [ 0. 0. 0. 0.02 0.5 4.38 15.1 ]\n",
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"SYSTEM STATE at Time t = 0.008:\n",
"[[1.4028e+01 5.0640e+00 8.4000e-01 6.5984e-02 2.0000e-03 0.0000e+00\n",
" 0.0000e+00]\n",
" [0.0000e+00 0.0000e+00 2.0000e-03 6.5984e-02 8.4000e-01 5.0640e+00\n",
" 1.4028e+01]\n",
" [0.0000e+00 0.0000e+00 0.0000e+00 1.6000e-05 0.0000e+00 0.0000e+00\n",
" 0.0000e+00]]\n",
"SYSTEM STATE at Time t = 0.01:\n",
"[[1.31316000e+01 5.53800000e+00 1.18493120e+00 1.36813108e-01\n",
" 8.13120000e-03 2.00000000e-04 0.00000000e+00]\n",
" [0.00000000e+00 2.00000000e-04 8.13120000e-03 1.36813108e-01\n",
" 1.18493120e+00 5.53800000e+00 1.31316000e+01]\n",
" [0.00000000e+00 0.00000000e+00 6.72320000e-05 1.90027530e-04\n",
" 6.72320000e-05 0.00000000e+00 0.00000000e+00]]\n",
"SYSTEM STATE at Time t = 0.012:\n",
"[[1.23722400e+01 5.86200882e+00 1.51504114e+00 2.28008774e-01\n",
" 1.98211433e-02 9.28816000e-04 2.00000000e-05]\n",
" [2.00000000e-05 9.28816000e-04 1.98211433e-02 2.28008774e-01\n",
" 1.51504114e+00 5.86200882e+00 1.23722400e+01]\n",
" [0.00000000e+00 4.44384640e-05 4.52470702e-04 9.37489304e-04\n",
" 4.52470702e-04 4.44384640e-05 0.00000000e+00]]\n",
"SYSTEM STATE at Time t = 0.014:\n",
"[[1.17212070e+01 6.07811756e+00 1.81983529e+00 3.33817478e-01\n",
" 3.75512896e-02 2.50955578e-03 1.00983808e-04]\n",
" [1.00983808e-04 2.50955578e-03 3.75512896e-02 3.33817478e-01\n",
" 1.81983529e+00 6.07811756e+00 1.17212070e+01]\n",
" [9.98666893e-06 2.62777001e-04 1.65200869e-03 3.01131931e-03\n",
" 1.65200869e-03 2.62777001e-04 9.98666893e-06]]\n",
"SYSTEM STATE at Time t = 0.016:\n",
"[[1.11568507e+01 6.21598919e+00 2.09433486e+00 4.48347321e-01\n",
" 6.09468566e-02 5.16378807e-03 2.94534867e-04]\n",
" [2.94534867e-04 5.16378807e-03 6.09468566e-02 4.48347321e-01\n",
" 2.09433486e+00 6.21598919e+00 1.11568507e+01]\n",
" [5.77983875e-05 8.74133777e-04 4.37882730e-03 7.45120113e-03\n",
" 4.37882730e-03 8.74133777e-04 5.77983875e-05]]\n"
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],
"source": [
"# Continue with several delta_t steps\n",
"for _ in range(7):\n",
" bio.react_diffuse(time_step=delta_t, n_steps=1)\n",
" bio.describe_state(concise=True)"
]
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},
"title": {
"text": "Reaction-Diffusion A + B <-> C
System snapshot at time t=0.016"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
6
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.6197640314168771,
11.776672564671454
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "markdown",
"id": "48d3f6fe",
"metadata": {},
"source": [
"`A` is continuing to diffuse from the left. \n",
"`B` is continuing to diffuse from the right. \n",
"They're finally beginning to overlap in the middle bins!"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "dc2f4c01",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
[
0,
"white"
],
[
1,
"red"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
11.156850734867037,
6.215989188067845,
2.094334856561604,
0.4483473209623955,
0.06094685656160335,
0.005163788067845311,
0.0002945348670366836
]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
"white"
],
[
1,
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "4d5292fb",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2aba5573",
"metadata": {},
"source": [
"### Several groups of longer runs : advance to time t=0.096"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c63d3fa6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.036:\n",
"[[7.92576526 5.95824446 3.31917619 1.31581241 0.35918764 0.07038175\n",
" 0.01251229]\n",
" [0.01251229 0.07038175 0.35918764 1.31581241 3.31917619 5.95824446\n",
" 7.92576526]\n",
" [0.01555131 0.07914514 0.24409632 0.36133444 0.24409632 0.07914514\n",
" 0.01555131]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.056:\n",
"[[6.29600683 5.06118233 3.15970431 1.44600532 0.47532616 0.12019317\n",
" 0.03045075]\n",
" [0.03045075 0.12019317 0.47532616 1.44600532 3.15970431 5.06118233\n",
" 6.29600683]\n",
" [0.07498099 0.28735559 0.78250579 1.12144639 0.78250579 0.28735559\n",
" 0.07498099]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.076:\n",
"[[5.13609493 4.21433746 2.7454954 1.35328847 0.4992179 0.14748071\n",
" 0.04559633]\n",
" [0.04559633 0.14748071 0.4992179 1.35328847 2.7454954 4.21433746\n",
" 5.13609493]\n",
" [0.1615343 0.52706799 1.31954666 1.8421909 1.31954666 0.52706799\n",
" 0.1615343 ]]\n",
"\n",
"\n",
"+ 10 steps later:\n",
"SYSTEM STATE at Time t = 0.096:\n",
"[[4.2209458 3.50170661 2.34873485 1.23042685 0.50075376 0.16821567\n",
" 0.0606064 ]\n",
" [0.0606064 0.16821567 0.50075376 1.23042685 2.34873485 3.50170661\n",
" 4.2209458 ]\n",
" [0.25982593 0.75464804 1.76534285 2.40897641 1.76534285 0.75464804\n",
" 0.25982593]]\n"
]
}
],
"source": [
"# Now, do several group of longer runs\n",
"for _ in range(4):\n",
" print(\"\\n\\n+ 10 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=10)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "39a02075",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0.096:\n"
]
},
{
"data": {
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\n",
" \n",
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" | \n",
" A | \n",
" B | \n",
" C | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 4.220946 | \n",
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\n",
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\n",
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"text/plain": [
" A B C\n",
"0 4.220946 0.060606 0.259826\n",
"1 3.501707 0.168216 0.754648\n",
"2 2.348735 0.500754 1.765343\n",
"3 1.230427 1.230427 2.408976\n",
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"5 0.168216 3.501707 0.754648\n",
"6 0.060606 4.220946 0.259826"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "cd065902-f6db-4640-b24d-46012dd5d94b",
"metadata": {},
"outputs": [
{
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "markdown",
"id": "847cfb4c-1010-46f6-8029-5da1fc170c53",
"metadata": {},
"source": [
"`A` is continuing to diffuse from the left. \n",
"`B` is continuing to diffuse from the right. \n",
"The overlap of `A` and `B`, especially in the central bins, is by now extensive, and the reaction is proceeding in earnest. \n",
"Notice the continue symmetry about the center of the system"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "0457bd17-ecc4-40bb-a46a-98066de72a7c",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
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0,
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],
[
1,
"red"
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],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
4.220945799875002,
3.501706607196435,
2.348734851167281,
1.2304268485314716,
0.5007537562676033,
0.1682156746601824,
0.06060640434340992
]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
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],
[
1,
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]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x2",
"xgap": 2,
"y": [
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"yaxis": "y2",
"ygap": 2,
"z": [
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0.06060640434340992,
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3.501706607196435,
4.220945799875002
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]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.14416666666666667
},
"colorscale": [
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],
[
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],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}C",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x3",
"xgap": 2,
"y": [
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"yaxis": "y3",
"ygap": 2,
"z": [
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1.765342852488631,
0.7546480379299465,
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}
],
"layout": {
"autosize": true,
"shapes": [
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"fillcolor": "red",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
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"y0": -0.485,
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},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
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"### Advance to time t=0.336"
]
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"id": "e6590e07",
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"text": [
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.156:\n",
"[[2.39736516 2.05453684 1.50075745 0.92781069 0.48529917 0.22472198\n",
" 0.11560109]\n",
" [0.11560109 0.22472198 0.48529917 0.92781069 1.50075745 2.05453684\n",
" 2.39736516]\n",
" [0.57202182 1.29674075 2.59761288 3.36115673 2.59761288 1.29674075\n",
" 0.57202182]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.216:\n",
"[[1.43652347 1.28435794 1.02979899 0.73906751 0.47257834 0.28028088\n",
" 0.18445971]\n",
" [0.18445971 0.28028088 0.47257834 0.73906751 1.02979899 1.28435794\n",
" 1.43652347]\n",
" [0.8597085 1.64384498 2.94653088 3.67276444 2.94653088 1.64384498\n",
" 0.8597085 ]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.276:\n",
"[[0.94369275 0.88396666 0.77535511 0.63019458 0.46959173 0.33300009\n",
" 0.25664867]\n",
" [0.25664867 0.33300009 0.46959173 0.63019458 0.77535511 0.88396666\n",
" 0.94369275]\n",
" [1.09382006 1.85282552 3.05530325 3.70365274 3.05530325 1.85282552\n",
" 1.09382006]]\n",
"\n",
"\n",
"+++ 30 steps later:\n",
"SYSTEM STATE at Time t = 0.336:\n",
"[[0.69798039 0.68111864 0.64213556 0.57196145 0.47435422 0.37878712\n",
" 0.32097915]\n",
" [0.32097915 0.37878712 0.47435422 0.57196145 0.64213556 0.68111864\n",
" 0.69798039]\n",
" [1.27482053 1.97696102 3.05404907 3.62102222 3.05404907 1.97696102\n",
" 1.27482053]]\n"
]
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],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n\\n+++ 30 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=30)\n",
" bio.describe_state(concise=True)"
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"SYSTEM SNAPSHOT at time 0.336:\n"
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "e3fb0250-4b91-40fc-bd7b-ce490de40c67",
"metadata": {},
"outputs": [
{
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "95f0b604-731f-4a1f-ac34-12e1db71c529",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "3fc7b647",
"metadata": {},
"source": [
"### Advance to time t=0.736"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "fe80a6cd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.436:\n",
"[[0.53513401 0.5437576 0.54867719 0.53174198 0.48696931 0.43256384\n",
" 0.39647767]\n",
" [0.39647767 0.43256384 0.48696931 0.53174198 0.54867719 0.5437576\n",
" 0.53513401]\n",
" [1.49508439 2.09028492 2.96849022 3.41695934 2.96849022 2.09028492\n",
" 1.49508439]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.536:\n",
"[[0.48751897 0.50165856 0.51768297 0.51798994 0.49498758 0.46076288\n",
" 0.4365229 ]\n",
" [0.4365229 0.46076288 0.49498758 0.51798994 0.51768297 0.50165856\n",
" 0.48751897]\n",
" [1.65797359 2.15520413 2.86719131 3.22213812 2.86719131 2.15520413\n",
" 1.65797359]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.636:\n",
"[[0.47470241 0.48869324 0.50591479 0.51120986 0.49756771 0.47365233\n",
" 0.45594669]\n",
" [0.45594669 0.47365233 0.49756771 0.51120986 0.50591479 0.48869324\n",
" 0.47470241]\n",
" [1.78774781 2.20070508 2.77778668 3.05983384 2.77778668 2.20070508\n",
" 1.78774781]]\n",
"\n",
"+++++ 50 steps later:\n",
"SYSTEM STATE at Time t = 0.736:\n",
"[[0.47257504 0.48488523 0.50040062 0.50652836 0.49733067 0.47935337\n",
" 0.46567693]\n",
" [0.46567693 0.47935337 0.49733067 0.50652836 0.50040062 0.48488523\n",
" 0.47257504]\n",
" [1.89367665 2.23536347 2.70338342 2.9284027 2.70338342 2.23536347\n",
" 1.89367665]]\n"
]
}
],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n+++++ 50 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=50)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "220b160b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0.736:\n"
]
},
{
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" A B C\n",
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]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "f23fc6cd-7adb-4d61-9b27-09b7b56c462f",
"metadata": {},
"outputs": [
{
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "c65d98be-b1e2-41f8-9a67-f4ad15ebcb91",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
[
0,
"white"
],
[
1,
"red"
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "abe80acf-6a9c-4d59-b08d-4f1099dfdc03",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "9f9285af",
"metadata": {},
"source": [
"### Advance to time t=1.936"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "d7afc37d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.036:\n",
"[[0.47744061 0.4845086 0.49346999 0.49747162 0.49331726 0.48423339\n",
" 0.47709743]\n",
" [0.47709743 0.48423339 0.49331726 0.49747162 0.49346999 0.4845086\n",
" 0.47744061]\n",
" [2.11014111 2.3007984 2.55138084 2.66782039 2.55138084 2.3007984\n",
" 2.11014111]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.336:\n",
"[[0.48168804 0.48554921 0.49041386 0.49259511 0.49040626 0.48553552\n",
" 0.48167096]\n",
" [0.48167096 0.48553552 0.49040626 0.49259511 0.49041386 0.48554921\n",
" 0.48168804]\n",
" [2.2288825 2.33377315 2.46847456 2.52988061 2.46847456 2.33377315\n",
" 2.2288825 ]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.636:\n",
"[[0.48405962 0.48615505 0.48878337 0.48995858 0.48878299 0.48615437\n",
" 0.48405877]\n",
" [0.48405877 0.48615437 0.48878299 0.48995858 0.48878337 0.48615505\n",
" 0.48405962]\n",
" [2.29360822 2.350868 2.42345244 2.45618991 2.42345244 2.350868\n",
" 2.29360822]]\n",
"\n",
"+++++++++++++++ 150 steps later:\n",
"SYSTEM STATE at Time t = 1.936:\n",
"[[0.48534444 0.4864795 0.48789956 0.48853323 0.48789955 0.48647947\n",
" 0.4853444 ]\n",
" [0.4853444 0.48647947 0.48789955 0.48853323 0.48789956 0.4864795\n",
" 0.48534444]\n",
" [2.32876222 2.35988613 2.39905402 2.4166151 2.39905402 2.35988613\n",
" 2.32876222]]\n"
]
}
],
"source": [
"# Continue the simulation\n",
"for _ in range(4):\n",
" print(\"\\n+++++++++++++++ 150 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=150)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "4616fa81",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 1.936:\n"
]
},
{
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"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.485344 | \n",
" 0.485344 | \n",
" 2.328762 | \n",
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\n",
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\n",
" \n",
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\n",
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\n",
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" A B C\n",
"0 0.485344 0.485344 2.328762\n",
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"6 0.485344 0.485344 2.328762"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "a4f03ad2-bc8a-4591-93f2-f62b4f1db8ed",
"metadata": {},
"outputs": [
{
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],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "f6c09f78-138d-4ff1-9e0e-3ed15d743083",
"metadata": {},
"outputs": [
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""
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f22400ca-9ecb-4e34-a7f8-49cd73dc25e5",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "4bbf1d0d",
"metadata": {},
"source": [
"### Advance to time t=5.936"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "8e25b525",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"++++++++++ ... ++++++++++ 1,000 steps later:\n",
"SYSTEM STATE at Time t = 3.936:\n",
"[[0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n",
" 0.48683089]\n",
" [0.48683089 0.48684974 0.48687325 0.48688372 0.48687325 0.48684974\n",
" 0.48683089]\n",
" [2.36959744 2.37011659 2.37076408 2.37105229 2.37076408 2.37011659\n",
" 2.36959744]]\n",
"\n",
"++++++++++ ... ++++++++++ 1,000 steps later:\n",
"SYSTEM STATE at Time t = 5.936:\n",
"[[0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n",
" 0.48685551]\n",
" [0.48685551 0.48685582 0.48685621 0.48685639 0.48685621 0.48685582\n",
" 0.48685551]\n",
" [2.37027551 2.37028411 2.37029484 2.37029961 2.37029484 2.37028411\n",
" 2.37027551]]\n"
]
}
],
"source": [
"# Continue the simulation\n",
"for _ in range(2):\n",
" print(\"\\n++++++++++ ... ++++++++++ 1,000 steps later:\")\n",
" bio.react_diffuse(time_step=delta_t, n_steps=1000)\n",
" bio.describe_state(concise=True)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "e0202797",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 5.936:\n"
]
},
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" A B C\n",
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"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "25771b7b-8465-46f9-8a1c-843db5e3de4b",
"metadata": {},
"outputs": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.visualize_system(title_prefix=\"Reaction-Diffusion A + B <-> C\") # Line curve view"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "2b2b3ea6-f8cc-452f-af03-e86e56302beb",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.8558333333333333
},
"colorscale": [
[
0,
"white"
],
[
1,
"red"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}A",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x",
"xgap": 2,
"y": [
"A"
],
"yaxis": "y",
"ygap": 2,
"z": [
[
0.48685551153677925,
0.48685582393940036,
0.4868562134995787,
0.4868563868703401,
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]
]
},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.5
},
"colorscale": [
[
0,
"white"
],
[
1,
"blue"
]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}B",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x2",
"xgap": 2,
"y": [
"B"
],
"yaxis": "y2",
"ygap": 2,
"z": [
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0.48685582393940025,
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},
{
"colorbar": {
"len": 0.346,
"title": {
"text": "Conc."
},
"x": 1.02,
"y": 0.14416666666666667
},
"colorscale": [
[
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],
[
1,
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]
],
"hovertemplate": "Conc.: %{z}
Bin #: %{x}
CHEM: %{y}C",
"texttemplate": "%{z:.3g}",
"type": "heatmap",
"xaxis": "x3",
"xgap": 2,
"y": [
"C"
],
"yaxis": "y3",
"ygap": 2,
"z": [
[
2.370275505456777,
2.370284108913194,
2.3702948372837658,
2.3702996118706583,
2.3702948372837658,
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]
]
}
],
"layout": {
"autosize": true,
"shapes": [
{
"fillcolor": "red",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x",
"y0": -0.485,
"y1": 0.485,
"yref": "y"
},
{
"fillcolor": "blue",
"line": {
"width": 0
},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x2",
"y0": -0.485,
"y1": 0.485,
"yref": "y2"
},
{
"fillcolor": "purple",
"line": {
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},
"type": "rect",
"x0": -0.7,
"x1": -0.6,
"xref": "x3",
"y0": -0.485,
"y1": 0.485,
"yref": "y3"
}
],
"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"
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",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.system_heatmaps(title_prefix=\"Reaction-Diffusion A + B <-> C\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "83d7c318-78f3-410b-879b-849c96c6549a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "1a1b82a4-acff-4090-825b-cd2fd59ff3c7",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "978c17e7",
"metadata": {
"tags": []
},
"source": [
"## Equilibrium in both diffusion and reaction \n",
"All bins now have essentially uniform concentration, for each of the chemicals"
]
},
{
"cell_type": "markdown",
"id": "67ded68a-b09f-42fd-b287-bdbad5da66b9",
"metadata": {},
"source": [
"In each bin at equilibrium, [A] = 0.49, [B] = 0.49, [C] = 2.37 \n",
"Let's verify that it's consistent with our (mostly-forward) equation `A + B <-> C`:"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "9f2df08b-2d42-48f8-9295-b6dc331a2498",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"A + B <-> C\n",
"Current concentrations: [A] = 0.4869 ; [B] = 0.4869 ; [C] = 2.37\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 9.99997\n",
" Formula used: [C] / ([A][B])\n",
"2. Ratio of forward/reverse reaction rates: 10\n",
"Discrepancy between the two values: 0.0003116 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.reaction_in_equilibrium(bin_address=0, rxn_index=0, explain=True) # Choice of bin is immaterial now, because they have all equilibrated"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "199fb008-d2f4-4048-8728-4ea098164347",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "613b2dc8-ecb4-4487-a6a9-bd13dcfd6bad",
"metadata": {},
"source": [
"**Mass conservation**: The initial total quantities of `A` and `B` were 20 each, and zero `C`. Here's how they have changed:"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "1f67862d-95ee-4ab2-8af4-9e4c74e1d409",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.592008515178144"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"20. - bio.chem_quantity(chem_label=\"A\") # Tot. decrease in `A`"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "c969703e-d05c-433b-8be5-31b1269f024f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.592008515178144"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"20. - bio.chem_quantity(chem_label=\"B\") # Tot. decrease in `B`"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "067d499a-db50-452d-9a87-351d8ca55d5d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.592008515178133"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bio.chem_quantity(chem_label=\"C\") # Tot. increase in `C`"
]
},
{
"cell_type": "markdown",
"id": "941266a6-8fc4-4af3-8f19-b189a9fabebf",
"metadata": {},
"source": [
"All consistent with the stoichiometry of our reaction `A + B <-> C`"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d40794ca-586b-44d1-9287-7cca8c90e857",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "c559ab1a-2084-45e3-9e02-83f3aa9b49db",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "c1954c6e",
"metadata": {
"tags": []
},
"source": [
"# Plots of changes of concentration with time"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "23682c52-a5fc-44a1-b704-1e7d243614be",
"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": "red",
"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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"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 0"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
5.935999999999568
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-1.1111111111111112,
21.11111111111111
],
"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=0)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "478b1c1a-d541-47c4-9fc6-d75270002d9e",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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},
"data": [
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"line": {
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"dash": "solid",
"shape": "linear"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=6)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "3609c4ec",
"metadata": {},
"outputs": [
{
"data": {
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},
"data": [
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"marker": {
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"mode": "lines",
"name": "A",
"showlegend": true,
"type": "scattergl",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bio.plot_history_single_bin(bin_address=3)"
]
},
{
"cell_type": "markdown",
"id": "48abd311",
"metadata": {},
"source": [
"`A` and `B` overlap on the plot, due to the symmetry of the system. \n",
"Initially, in the middle bin, neither `A` nor `B` are present; over time they diffuse there... but then they react and get consumed (producing `C`), to an equilibrium value. \n",
"Meanwhile, `C` gradually diffuses to uniformity."
]
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