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"cells": [
{
"cell_type": "markdown",
"id": "4e50d971",
"metadata": {},
"source": [
"### One-bin A <-> 3B reaction, with 1st-order kinetics in both directions, taken to equilibrium\n",
"### Examine State Space trajectory, using [A] and [B] as state variables\n",
"\n",
"Based on experiment `1D/reaction/reaction_2`\n",
"\n",
"Diffusion not applicable (just 1 bin).\n",
"\n",
"This is the 1D version of the single-compartment reaction by the same name\n",
"\n",
"LAST REVISED: June 23, 2024 (using v. 1.0 beta34.1)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "09b4fb67-3976-40c0-9e56-7060d243db7d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"import set_path # Importing this module will add the project's home directory to sys.path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e49a243f",
"metadata": {},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from life123 import ChemData\n",
"from life123 import BioSim1D\n",
"\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"from life123 import GraphicLog"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "180bfbdd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'state_space_1.log.htm'\n"
]
}
],
"source": [
"# Initialize the HTML logging\n",
"log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n",
"\n",
"# Set up the use of some specified graphic (Vue) components\n",
"GraphicLog.config(filename=log_file,\n",
" components=[\"vue_cytoscape_2\"],\n",
" extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2bbdb53f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"1 bins and 2 species:\n",
" Species 0 (A). Diff rate: None. Conc: [10.]\n",
" Species 1 (B). Diff rate: None. Conc: [50.]\n"
]
}
],
"source": [
"# Initialize the system\n",
"chem_data = ChemData(names=[\"A\", \"B\"]) # NOTE: Diffusion not applicable (just 1 bin)\n",
"\n",
"\n",
"\n",
"# Reaction A <-> 3B , with 1st-order kinetics in both directions\n",
"chem_data.add_reaction(reactants=[\"A\"], products=[(3,\"B\",1)], forward_rate=5., reverse_rate=2.)\n",
"\n",
"bio = BioSim1D(n_bins=1, chem_data=chem_data)\n",
"\n",
"bio.set_uniform_concentration(species_name=\"A\", conc=10.)\n",
"bio.set_uniform_concentration(species_name=\"B\", conc=50.)\n",
"\n",
"bio.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "06fe0be5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A <-> 3 B (kF = 5 / kR = 2 / delta_G = -2,271.4 / K = 2.5) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'A', 'B'}\n"
]
}
],
"source": [
"chem_data.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "3f53fbc7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0 | \n",
" 10.0 | \n",
" 50.0 | \n",
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\n",
" \n",
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\n",
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"
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"text/plain": [
" SYSTEM TIME A B caption\n",
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"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"# Save the state of the concentrations of all species at bin 0\n",
"bio.add_snapshot(bio.bin_snapshot(bin_address = 0))\n",
"bio.get_history()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "4b5e75e5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[GRAPHIC ELEMENT SENT TO LOG FILE `state_space_1.log.htm`]\n"
]
}
],
"source": [
"# Send the plot to the HTML log file\n",
"chem_data.plot_reaction_network(\"vue_cytoscape_2\")"
]
},
{
"cell_type": "markdown",
"id": "dfb4e9e3",
"metadata": {
"tags": []
},
"source": [
"### To equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b2500732",
"metadata": {},
"outputs": [],
"source": [
"# Using smaller steps that in experiment reaction_2, to avoid the initial overshooting\n",
"bio.react(time_step=0.05, n_steps=10, snapshots={\"frequency\": 1, \"sample_bin\": 0})"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "c995c50f-4b3e-41b8-bf06-e6d64f028dfe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0.5:\n",
"1 bins and 2 species:\n",
" Species 0 (A). Diff rate: None. Conc: [14.54390679]\n",
" Species 1 (B). Diff rate: None. Conc: [36.36827963]\n"
]
}
],
"source": [
"bio.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "494466ba-f534-44c0-a65b-b4976340017a",
"metadata": {},
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\n",
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\n",
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" 13.625000 | \n",
" 39.125000 | \n",
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\n",
" \n",
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" 0.15 | \n",
" 14.131250 | \n",
" 37.606250 | \n",
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\n",
" \n",
" | 4 | \n",
" 0.20 | \n",
" 14.359063 | \n",
" 36.922812 | \n",
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\n",
" \n",
" | 5 | \n",
" 0.25 | \n",
" 14.461578 | \n",
" 36.615266 | \n",
" | \n",
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\n",
" \n",
" | 6 | \n",
" 0.30 | \n",
" 14.507710 | \n",
" 36.476870 | \n",
" | \n",
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\n",
" \n",
" | 7 | \n",
" 0.35 | \n",
" 14.528470 | \n",
" 36.414591 | \n",
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\n",
" \n",
" | 8 | \n",
" 0.40 | \n",
" 14.537811 | \n",
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" \n",
" | 9 | \n",
" 0.45 | \n",
" 14.542015 | \n",
" 36.373955 | \n",
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\n",
" \n",
" | 10 | \n",
" 0.50 | \n",
" 14.543907 | \n",
" 36.368280 | \n",
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" SYSTEM TIME A B caption\n",
"0 0.00 10.000000 50.000000 \n",
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"9 0.45 14.542015 36.373955 \n",
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"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"bio.get_history()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d168a44c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"A <-> 3 B\n",
"Final concentrations: [A] = 14.54 ; [B] = 36.37\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 2.50059\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 2.5\n",
"Discrepancy between the two values: 0.02341 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
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"data": {
"text/plain": [
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},
"execution_count": 11,
"metadata": {},
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],
"source": [
"# Verify that the reaction has reached equilibrium\n",
"bio.reaction_dynamics.is_in_equilibrium(rxn_index=0, conc=bio.bin_snapshot(bin_address = 0))"
]
},
{
"cell_type": "markdown",
"id": "3f5fd10b",
"metadata": {
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]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = bio.get_history()\n",
"\n",
"px.line(data_frame=df, x=\"SYSTEM TIME\", y=[\"A\", \"B\"], \n",
" title=\"Reaction A <-> 3B . Changes in [A] and [B] over time\",\n",
" color_discrete_sequence = ['darkturquoise', 'green'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\"})"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c4e0120d-1541-4552-a2d0-8100a3fea8d9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e647f76c-4503-48be-b96a-22e81c9fadc5",
"metadata": {},
"source": [
"## Same data, but shown differently"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "85b3c06f",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "A=%{x}
B=%{y}",
"legendgroup": "",
"line": {
"color": "#C83778",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
10,
12.5,
13.625,
14.13125,
14.3590625,
14.461578125,
14.50771015625,
14.5284695703125,
14.537811306640625,
14.54201508798828,
14.543906789594727
],
"xaxis": "x",
"y": [
50,
42.5,
39.125,
37.60625,
36.9228125,
36.615265625,
36.47686953125,
36.4145912890625,
36.386566080078126,
36.37395473603516,
36.36827963121582
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"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,
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],
[
0.5555555555555556,
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],
[
0.6666666666666666,
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],
[
0.7777777777777778,
"#fb9f3a"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig0 = px.line(data_frame=bio.get_history(), x=\"A\", y=\"B\", \n",
" title=\"State space of reaction A <-> 3B : [A] vs. [B]\",\n",
" color_discrete_sequence = ['#C83778'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\"})\n",
"fig0.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "50b08a83-7a05-4fa7-bbde-93d3d6402df9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"customdata": [
[
0
],
[
0.05
],
[
0.1
],
[
0.15
],
[
0.2
],
[
0.25
],
[
0.3
],
[
0.35
],
[
0.4
],
[
0.45
],
[
0.5
]
],
"hovertemplate": "A=%{x}
B=%{y}
SYSTEM TIME=%{customdata[0]}",
"legendgroup": "",
"marker": {
"color": "#2FAC74",
"size": 6,
"symbol": "circle"
},
"mode": "markers",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
10,
12.5,
13.625,
14.13125,
14.3590625,
14.461578125,
14.50771015625,
14.5284695703125,
14.537811306640625,
14.54201508798828,
14.543906789594727
],
"xaxis": "x",
"y": [
50,
42.5,
39.125,
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Now show the individual data points\n",
"\n",
"df['SYSTEM TIME'] = round(df['SYSTEM TIME'], 2) # To avoid clutter from too many digits, in the column\n",
"\n",
"fig1 = px.scatter(data_frame=df, x=\"A\", y=\"B\",\n",
" title=\"Trajectory in State space: [A] vs. [B]\",\n",
" hover_data=['SYSTEM TIME'])\n",
"\n",
"fig1.update_traces(marker={\"size\": 6, \"color\": \"#2FAC74\"}) # Modify the style of the dots\n",
"\n",
"# Add annotations (showing the System Time value) to SOME of the points, to avoid clutter\n",
"for ind in df.index:\n",
" label = df[\"SYSTEM TIME\"][ind]\n",
" if ind == 0:\n",
" label = f\"t={label}\"\n",
" \n",
" label_x = ind*16\n",
" label_y = 20 + ind*8 # A greater y value here means further DOWN!!\n",
" \n",
" if (ind <= 3) or (ind%2 == 0):\n",
" fig1.add_annotation(x=df[\"A\"][ind], y=df[\"B\"][ind],\n",
" text=label,\n",
" font=dict(\n",
" size=10,\n",
" color=\"grey\"\n",
" ),\n",
" showarrow=True, arrowhead=0, ax=label_x, ay=label_y, arrowcolor=\"#b0b0b0\",\n",
" bordercolor=\"#c7c7c7\")\n",
"\n",
"fig1.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "f3c287ce-9a33-43bd-8473-f81f22ff9e81",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Combine the two above plots, while using the layout of fig1 (which includes the title and annotations)\n",
"all_fig = go.Figure(data=fig0.data + fig1.data, layout = fig1.layout)\n",
"all_fig.show()"
]
},
{
"cell_type": "markdown",
"id": "4fe369cf-d2c0-454c-a3f9-9794008be8d8",
"metadata": {},
"source": [
"### Note how the trajectory is progressively slowing down towards the dynamical system's \"attractor\" (equilibrium state of the reaction)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "7f982020",
"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": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}