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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 reactions/reaction_2\n",
"\n",
"Diffusion not applicable (just 1 bin)\n",
"\n",
"LAST REVISED: Nov. 28, 2022"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "865c1166",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"# Extend the sys.path variable, to contain the project's root directory\n",
"import set_path\n",
"set_path.add_ancestor_dir_to_syspath(3) # The number of levels to go up \n",
" # to reach the project's home, from the folder containing this notebook"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d57ab02a",
"metadata": {},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from src.modules.reactions.reaction_data import ReactionData as chem\n",
"from src.modules.reactions.reaction_dynamics import ReactionDynamics\n",
"from src.life_1D.bio_sim_1d import BioSim1D\n",
"\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"from src.modules.html_log.html_log import HtmlLog as log\n",
"from src.modules.visualization.graphic_log 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_1\"],\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 = chem(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\")], forward_rate=5., reverse_rate=2.)\n",
"\n",
"bio = BioSim1D(n_bins=1, chem_data=chem_data)\n",
"\n",
"bio.set_uniform_concentration(species_index=0, conc=10.)\n",
"bio.set_uniform_concentration(species_index=1, 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 = -2,271.45 / K = 2.5) | 1st order in all reactants & products\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",
" | \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",
"0 0 10.0 50.0 "
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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",
"graph_data = chem_data.prepare_graph_network()\n",
"GraphicLog.export_plot(graph_data, \"vue_cytoscape_1\")"
]
},
{
"cell_type": "markdown",
"id": "dfb4e9e3",
"metadata": {
"tags": []
},
"source": [
"### To equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b2500732",
"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": [
"# 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})\n",
"bio.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "494466ba-f534-44c0-a65b-b4976340017a",
"metadata": {},
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"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
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},
{
"cell_type": "code",
"execution_count": 10,
"id": "d168a44c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ratio of forward/reverse reaction rates: 2.5\n",
"Ratio of reactant/product concentrations, adjusted for reaction orders: 2.50059\n",
" [B] / [A]\n"
]
},
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"data": {
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"execution_count": 10,
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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 = ['navy', 'darkorange'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\"})"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "85b3c06f",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "A=%{x}
B=%{y}",
"legendgroup": "",
"line": {
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"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": {
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"bar": [
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"error_x": {
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"error_y": {
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"line": {
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},
"pattern": {
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"solidity": 0.2
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},
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}
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"barpolar": [
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"pattern": {
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"carpet": [
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"baxis": {
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"minorgridcolor": "white",
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"choropleth": [
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"ticks": ""
},
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}
],
"contour": [
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},
"colorscale": [
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"heatmapgl": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Same data, but shown differently\n",
"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": 13,
"id": "50b08a83-7a05-4fa7-bbde-93d3d6402df9",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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},
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"hovertemplate": "A=%{x}
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"legendgroup": "",
"marker": {
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"symbol": "circle"
},
"mode": "markers",
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"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
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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\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",
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"# Add annotations (showing the System Time value) to SOME of the points, to avoid clutter\n",
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" label = df[\"SYSTEM TIME\"][ind]\n",
" if ind == 0:\n",
" label = f\"t={label}\"\n",
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" label_x = ind*16\n",
" label_y = 20 + ind*8 # A greater y value here means further DOWN!!\n",
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" 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",
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" showarrow=True, arrowhead=0, ax=label_x, ay=label_y, arrowcolor=\"#b0b0b0\",\n",
" bordercolor=\"#c7c7c7\")\n",
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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": "c4e0120d-1541-4552-a2d0-8100a3fea8d9",
"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
}