{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## Accurate results in the simulation of the 2 coupled reactions `2 S <-> U` and `S <-> X` \n", "Both mostly forward. 1st-order kinetics throughout. \n", "\n", "Same as `variable_steps_1`, but with FIXED TIME STEPS: a lot of TINY steps - as a proxy for the \"exact value\"\n", "\n", "LAST REVISED: June 23, 2024 (using v. 1.0 beta34.1)" ] }, { "cell_type": "code", "execution_count": 1, "id": "a1cfd309-b251-4491-a4e5-7daf6aa5426a", "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": "b7fe14ab", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from life123 import ChemData as chem\n", "from life123 import UniformCompartment\n", "\n", "from life123 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 'variable_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_2\"],\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 = -3,436.6 / K = 4) | 1st order in all reactants & products\n", "1: S <-> X (kF = 6 / kR = 3 / delta_G = -1,718.3 / K = 2) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'X', 'U', 'S'}\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `variable_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\", 1)], 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", "chem_data.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "markdown", "id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 5, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "3 species:\n", " Species 0 (U). Conc: 50.0\n", " Species 1 (X). Conc: 100.0\n", " Species 2 (S). Conc: 0.0\n", "Set of chemicals involved in reactions: {'X', 'U', 'S'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data)\n", "dynamics.set_conc(conc={\"U\": 50., \"X\": 100.})\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 6, "id": "bcf652b8-e0dc-438e-bdbe-02216c1d52a0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3500 total step(s) taken\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " SYSTEM TIME U X S caption\n", "0 0.0000 50.000000 100.000000 0.000000 Initialized state\n", "1 0.0001 49.990000 99.970000 0.050000 \n", "2 0.0002 49.980042 99.940039 0.099877 \n", "3 0.0003 49.970126 99.910117 0.149631 \n", "4 0.0004 49.960252 99.880234 0.199263 \n", "... ... ... ... ... ...\n", "3496 0.3496 61.042146 58.689164 19.226544 \n", "3497 0.3497 61.045319 58.683094 19.226269 \n", "3498 0.3498 61.048490 58.677024 19.225995 \n", "3499 0.3499 61.051662 58.670957 19.225720 \n", "3500 0.3500 61.054832 58.664891 19.225445 \n", "\n", "[3501 rows x 5 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "dynamics.single_compartment_react(initial_step=0.0001, target_end_time=0.35, \n", " variable_steps=False)\n", "\n", "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "code", "execution_count": 7, "id": "12da63da-9b3b-4c43-a68b-7dfb6585b9d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.35, in 3500 steps of 0.0001\n", "(3500 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "1b7b4e76-d0c9-4ba7-a8d6-728277f357b8", "metadata": {}, "source": [ "### Look up some values" ] }, { "cell_type": "code", "execution_count": 8, "id": "41b45eb7-ae36-4739-8b33-f306ad9dfef3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SYSTEM TIME 0.04\n", "U 48.449494\n", "X 90.386964\n", "S 12.714047\n", "caption \n", "Name: 400, dtype: object" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.iloc[400]" ] }, { "cell_type": "code", "execution_count": 9, "id": "a15df5d6-7ac5-47ac-b4b5-7a807246b8b9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SYSTEM TIME 0.185\n", "U 54.529071\n", "X 71.351769\n", "S 19.590088\n", "caption \n", "Name: 1850, dtype: object" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.iloc[1850]" ] }, { "cell_type": "markdown", "id": "cbf6c9c7-8cec-400f-9e70-49ff1a9f485c", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 10, "id": "c388dae7-c4a6-4644-a390-958e3862d102", "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=U
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