{
"cells": [
{
"cell_type": "markdown",
"id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f",
"metadata": {},
"source": [
"# From finer to coarser resolution in advancing the two coupled reactions: \n",
"### `2 S <-> U` and `S <-> X` (both mostly forward)\n",
"\n",
"1st-order kinetics throughout. \n",
"\n",
"Notes: \n",
"* for an exploration of instabilities, see the experiment `negative_concentrations_1`\n",
"* for an accurate longer run of the same reactions (with the same initial conditions), see the experiment \"up_regulate_3\"\n",
"\n",
"LAST REVISED: Dec. 3, 2023 **THIS IS AN ARCHIVED EXPERIMENT**"
]
},
{
"cell_type": "markdown",
"id": "2f3bfe09-c34c-49cb-8ba6-400c80b75843",
"metadata": {},
"source": [
"# IMPORTANT: DO NOT ATTEMPT TO RUN THIS NOTEBOOK! \n",
"## This is a **\"frozen run\"** that depends on an old version of Life123, for demonstration purposes \n",
"#### (newer versions of Life123 tend to recover from instability more gracefully!!) \n",
"If you bypass the execution exit in the first cell, and run the other cells, you WILL NOT REPLICATE the results below!"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "959750cf-69cf-4671-bf03-95720d97bb4c",
"metadata": {},
"outputs": [
{
"ename": "StopExecution",
"evalue": "",
"output_type": "error",
"traceback": []
}
],
"source": [
"# To stop the current and subsequent cells: USED TO PREVENT ACCIDENTAL RUNS OF THIS NOTEBOOK!\n",
"\n",
"class StopExecution(Exception):\n",
" def _render_traceback_(self):\n",
" return []\n",
"\n",
"raise StopExecution # See: https://stackoverflow.com/a/56953105/5478830"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "928bb734-73d6-4b0c-ac0b-171cb249c0f2",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "baaa9251-5d8d-455c-8a40-79b2bc9d9581",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "f2205e67",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from src.modules.chemicals.chem_data import ChemData as chem\n",
"from src.modules.reactions.reaction_dynamics import ReactionDynamics\n",
"\n",
"from src.modules.visualization.graphic_log import GraphicLog"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "cc53849f-351d-49e0-bfa8-22f8d8e22f8e",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'large_time_steps_2.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": "markdown",
"id": "d6d3ca49-589d-49b7-8424-37c7b01bcacf",
"metadata": {},
"source": [
"### Initialize the system"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "23c15e66-52e4-495b-aa3d-ecddd8d16942",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2 (at temp. 25 C)\n",
"0: 2 S <-> U (kF = 8 / kR = 2 / Delta_G = -3,436.56 / K = 4) | 1st order in all reactants & products\n",
"1: S <-> X (kF = 6 / kR = 3 / Delta_G = -1,718.28 / K = 2) | 1st order in all reactants & products\n",
"[GRAPHIC ELEMENT SENT TO LOG FILE `large_time_steps_2.log.htm`]\n"
]
}
],
"source": [
"# Initialize the system\n",
"chem_data = chem(names=[\"U\", \"X\", \"S\"])\n",
"\n",
"# Reaction 2 S <-> U , with 1st-order kinetics for all species (mostly forward)\n",
"chem_data.add_reaction(reactants=[(2, \"S\")], products=\"U\",\n",
" forward_rate=8., reverse_rate=2.)\n",
"\n",
"# Reaction S <-> X , with 1st-order kinetics for all species (mostly forward)\n",
"chem_data.add_reaction(reactants=\"S\", products=\"X\",\n",
" forward_rate=6., reverse_rate=3.)\n",
"\n",
"chem_data.describe_reactions()\n",
"\n",
"# Send the plot of the reaction network 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": "ebbd7aab-2456-40de-981b-f1f36970450c",
"metadata": {},
"source": [
"# Run 1 : extremely small fixed time steps (no substeps)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "01ab7066-ce52-4c37-9608-b2cea9a1afac",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"800 total step(s) taken\n",
"From time 0 to 0.8, in 800 FULL steps of 0.001\n",
"(for a grand total of the equivalent of 800 FULL steps)\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem_data)\n",
"dynamics.set_conc(conc={\"U\": 50., \"X\": 100., \"S\": 0.})\n",
"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.001, stop_time=0.8)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "555ff38c-9305-40b5-b047-d8417477d2c0",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "ba550457-9999-4c93-939a-71481735fc9d",
"metadata": {},
"source": [
"# Run 2 : very small time steps, with dynamic substeps"
]
},
{
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"id": "d9592a2c-7ae5-4456-80c5-2b08c1bfce5f",
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"name": "stdout",
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"text": [
"single_compartment_react(): setting abs_fast_threshold to 50.0\n",
"80 total step(s) taken\n",
"From time 0 to 0.44, in 176 substeps of 0.0025 (each 1/4 of full step)\n",
"From time 0.44 to 0.8, in 36 FULL steps of 0.01\n",
"(for a grand total of the equivalent of 80 FULL steps)\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem_data)\n",
"dynamics.set_conc(conc={\"U\": 50., \"X\": 100., \"S\": 0.})\n",
"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.01, stop_time=0.8,\n",
" dynamic_substeps=4, rel_fast_threshold=50)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
]
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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7",
"metadata": {},
"source": [
"# Run 3 : small-ish time steps, with dynamic substeps"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "197c03c2-775a-48ec-aa56-675828f98aff",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_compartment_react(): setting abs_fast_threshold to 31.25\n",
"11 total step(s) taken\n",
"From time 0 to 0.64, in 32 substeps of 0.02 (each 1/4 of full step)\n",
"From time 0.64 to 0.88, in 3 FULL steps of 0.08\n",
"(for a grand total of the equivalent of 11 FULL steps)\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem_data)\n",
"dynamics.set_conc(conc={\"U\": 50., \"X\": 100., \"S\": 0.})\n",
"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.08, stop_time=0.8,\n",
" dynamic_substeps=4, rel_fast_threshold=250)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9d48898c-5e1d-4eae-bba0-e0cbd6140ff7",
"metadata": {},
"outputs": [
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""
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "36d1bce4-449c-4bbb-b3b1-0b9ca47c9e18",
"metadata": {},
"source": [
"# Run 4 : same as previous run, but fewer dynamic substeps"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "4501a270-fb25-451c-afa9-b79195dd606a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_compartment_react(): setting abs_fast_threshold to 18.75\n",
"11 total step(s) taken\n",
"From time 0 to 0.8, in 20 substeps of 0.04 (each 1/2 of full step)\n",
"From time 0.8 to 0.88, in 1 FULL step of 0.08\n",
"(for a grand total of the equivalent of 11 FULL steps)\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem_data)\n",
"dynamics.set_conc(conc={\"U\": 50., \"X\": 100., \"S\": 0.})\n",
"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.08, stop_time=0.8,\n",
" dynamic_substeps=2, rel_fast_threshold=150)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "83fd0d3a-ba7e-48b9-87d2-e301393b9f0b",
"metadata": {},
"outputs": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "180cc9f8-3d15-44f6-b314-c284634812d8",
"metadata": {},
"source": [
"# Run 5 : same as previous run, but slightly larger primary step"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "d51911f0-55fa-4e9e-864f-1e5253e5038e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_compartment_react(): setting rel_fast_threshold to 800.0\n",
"9 total step(s) taken\n",
"From time 0 to 0.3, in 6 substeps of 0.05 (each 1/2 of full step)\n",
"From time 0.3 to 0.9, in 6 FULL steps of 0.1\n",
"(for a grand total of the equivalent of 9 FULL steps)\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem_data)\n",
"dynamics.set_conc(conc={\"U\": 50., \"X\": 100., \"S\": 0.})\n",
"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.1, stop_time=0.8,\n",
" dynamic_substeps=2, abs_fast_threshold=80.0)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "185be279-bd71-483d-90cb-39c7066b6def",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=U
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "U",
"line": {
"color": "green",
"dash": "solid"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "d00ce702-b83b-4fdc-abc7-0c126be78779",
"metadata": {},
"source": [
"### Note: the above run is identical to the last run in the experiment `negative_concentrations_1`"
]
},
{
"cell_type": "markdown",
"id": "6ff6c4c3-5d9a-4195-989d-1cdaf15c0f70",
"metadata": {},
"source": [
"# Run 6 : same as previous run, but no substeps"
]
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"******** CAUTION: negative concentration in chemical `S` (resulting from reaction 2 S <-> U)\n",
" upon advancing from system time t=0.1 [Baseline value: 50 ; delta conc: -64]\n",
" It will be AUTOMATICALLY CORRECTED with a reduction in the time step size\n",
"******** CAUTION: negative concentration resulting from the combined effect of multiple reactions, upon advancing reactions from system time t=0.45\n",
" It will be AUTOMATICALLY CORRECTED with a reduction in the time step size\n",
"The computation took 2 extra step(s) - automatically added to prevent negative concentrations\n",
"10 total step(s) taken\n",
"From time 0 to 0.1, in 1 FULL step of 0.1\n",
"From time 0.1 to 0.15, in 1 substep of 0.05 (1/2 of full step)\n",
"From time 0.15 to 0.45, in 3 FULL steps of 0.1\n",
"From time 0.45 to 0.5, in 1 substep of 0.05 (1/2 of full step)\n",
"From time 0.5 to 0.9, in 4 FULL steps of 0.1\n",
"(for a grand total of the equivalent of 9 FULL steps)\n"
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"dynamics = ReactionDynamics(chem_data=chem_data)\n",
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"#dynamics.describe_state()\n",
"\n",
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(time_step=0.1, stop_time=0.8)\n",
"\n",
"df = dynamics.get_history()\n",
"#df\n",
"dynamics.explain_time_advance()"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['green', 'orange', 'blue'])"
]
},
{
"cell_type": "markdown",
"id": "3ea52f38-561c-4b15-ba15-fd2231b76626",
"metadata": {},
"source": [
"### Note: for an exploration of instabilities, see the experiment `negative_concentrations_1`"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "479d87b8",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,py:percent"
},
"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
}