{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## A cycle of reactions `A <-> B <-> C <-> A`\n", "#### the \"closing\" of the above cycle (the \"return\" parth from `C` to `A`) is coupled with an \"energy donor\" reaction:\n", "#### `C + E_High <-> A + E_Low`\n", "#### where `E_High` and `E_Low` are, respectively, the high- and low- energy molecules that drive the cycle (for example, think of ATP/ADP). \n", "Comparisons are made between results obtained with 3 different time resolutions.\n", "\n", "All 1st-order kinetics. \n", "\n", "LAST REVISED: July 14, 2023" ] }, { "cell_type": "code", "execution_count": 1, "id": "10fcf04b-b30a-4c69-9488-1772ed805616", "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": "c37d4586", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from src.modules.chemicals.chem_data import ChemData\n", "from src.modules.reactions.reaction_dynamics import ReactionDynamics\n", "from src.modules.numerical.numerical import Numerical as num\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 'cycles_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": "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: 3 (at temp. 25 C)\n", "0: A <-> B (kF = 9 / kR = 3 / Delta_G = -2,723.41 / K = 3) | 1st order in all reactants & products\n", "1: B <-> C (kF = 8 / kR = 4 / Delta_G = -1,718.28 / K = 2) | 1st order in all reactants & products\n", "2: C + E_high <-> A + E_low (kF = 1 / kR = 0.2 / Delta_G = -3,989.73 / K = 5) | 1st order in all reactants & products\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `cycles_1.log.htm`]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = ChemData(names=[\"A\", \"B\", \"C\", \"E_high\", \"E_low\"])\n", "\n", "# Reaction A <-> B, mostly in forward direction (favored energetically)\n", "# Note: all reactions in this experiment have 1st-order kinetics for all species\n", "chem_data.add_reaction(reactants=\"A\", products=\"B\",\n", " forward_rate=9., reverse_rate=3.)\n", "\n", "# Reaction B <-> C, also favored energetically\n", "chem_data.add_reaction(reactants=\"B\", products=\"C\",\n", " forward_rate=8., reverse_rate=4.)\n", "\n", "# Reaction C + E_High <-> A + E_Low, also favored energetically, but kinetically slow\n", "# Note that, thanks to the energy donation from E, we can go \"upstream\" from C, to the higher-energy level of \"A\"\n", "chem_data.add_reaction(reactants=[\"C\" , \"E_high\"], products=[\"A\", \"E_low\"],\n", " forward_rate=1., reverse_rate=0.2)\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": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 5, "id": "e4ff6a84-f5d5-4645-9c56-d9e981c108df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'A': 100.0, 'B': 0.0, 'C': 0.0, 'E_high': 1000.0, 'E_low': 0.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conc = {\"A\": 100., \"B\": 0., \"C\": 0., \"E_high\": 1000., \"E_low\": 0.} # Note the abundant energy source \"E_high\"\n", "initial_conc" ] }, { "cell_type": "markdown", "id": "0b46b395-3f68-4dbd-b0c5-d67a0e623726", "metadata": { "tags": [] }, "source": [ "### We'll split each simulation in three segments (apparent from the graphs of the runs, further down): \n", "Time [0-0.03] fast changes \n", "Time [0.03-5.] medium changes \n", "Time [5.-8.] slow changes, as we approach equilibrium \n", "\n", "### and we'll do MULTIPLE RUNS, at varying time resolutions." ] }, { "cell_type": "markdown", "id": "3321bf3f-1218-495e-9d44-d4b008ecd235", "metadata": {}, "source": [] }, { "cell_type": "markdown", "id": "e9403630-eb9f-49d7-8888-d973028ab4f4", "metadata": {}, "source": [ "# Run # 1 : FIXED time resolution, with COARSE time steps \n", "(trial and error, not shown, reveals that increasing any of the time steps below, leads to \"excessive time step\" errors)" ] }, { "cell_type": "code", "execution_count": 6, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data)\n", "dynamics.set_conc(conc=initial_conc, snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 7, "id": "d77cd506-65b0-4604-94e7-a9fa226ede08", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 8, "id": "50ddd8e3-58c6-41f8-b874-ddc9a1d64d30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "38 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0008, target_end_time=0.03)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 9, "id": "fbf24a85-b152-4b24-b350-00bed12e7bb9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4970 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.001, target_end_time=5.)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 10, "id": "938b9678-900a-4d6b-8cac-68d62545b09e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "600 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.005, target_end_time=8.)" ] }, { "cell_type": "code", "execution_count": 11, "id": "813314da-3859-4bf1-9cae-764da773c40f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
10.000899.2800000.7200000.0000001000.0000000.000000
20.001698.5669121.4284800.0046081000.0000000.000000
30.002497.8643452.1256060.010049999.9963140.003686
40.003297.1728052.8115560.015639999.9883320.011668
........................
56047.980410.01854530.00691759.97453732.331113967.668887
56057.985410.01839830.00686259.97474032.330530967.669470
56067.990410.01825130.00680859.97494232.329952967.670048
56077.995410.01810530.00675359.97514232.329378967.670622
56088.000410.01796130.00669959.97534032.328809967.671191
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5609 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0008 99.280000 0.720000 0.000000 1000.000000 0.000000 \n", "2 0.0016 98.566912 1.428480 0.004608 1000.000000 0.000000 \n", "3 0.0024 97.864345 2.125606 0.010049 999.996314 0.003686 \n", "4 0.0032 97.172805 2.811556 0.015639 999.988332 0.011668 \n", "... ... ... ... ... ... ... \n", "5604 7.9804 10.018545 30.006917 59.974537 32.331113 967.668887 \n", "5605 7.9854 10.018398 30.006862 59.974740 32.330530 967.669470 \n", "5606 7.9904 10.018251 30.006808 59.974942 32.329952 967.670048 \n", "5607 7.9954 10.018105 30.006753 59.975142 32.329378 967.670622 \n", "5608 8.0004 10.017961 30.006699 59.975340 32.328809 967.671191 \n", "\n", " caption \n", "0 Initial state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "5604 \n", "5605 \n", "5606 \n", "5607 \n", "5608 \n", "\n", "[5609 rows x 7 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "9b067211-71f9-4441-99fd-a6bee211173c", "metadata": {}, "source": [ "### Notice we created 5,609 data points" ] }, { "cell_type": "code", "execution_count": 12, "id": "a9135977-3c83-4fc0-a8c1-b10cf03d40d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0304, in 38 steps of 0.0008\n", "From time 0.0304 to 5, in 4970 steps of 0.001\n", "From time 5 to 8, in 600 steps of 0.005\n", "(5608 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "cbf6c9c7-8cec-400f-9e70-49ff1a9f485c", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 13, "id": "ad5cd5f8-d113-4bf4-9688-76146d164868", "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=E_high
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"title": { "text": "Changes in concentrations for 3 reactions" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 8.00039999999994 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -55.55555555555556, 1055.5555555555557 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": 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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "2903b958-bd14-453e-a864-0cb5253ffb83", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate them and save them for later comparisons across repeated runs:" ] }, { "cell_type": "code", "execution_count": 15, "id": "24ad15f6-c92e-4270-8a35-2eddc1a3782d", "metadata": {}, "outputs": [], "source": [ "run1 = []" ] }, { "cell_type": "code", "execution_count": 16, "id": "1f816c0a-beb7-4b86-ac51-0f7e27e9a881", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 1586\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(\"E_high\", \"E_low\", t_start=1., t_end=2.))" ] }, { "cell_type": "code", "execution_count": 17, "id": "2f8ca98a-8aa3-4a10-8c9a-ff79bd303a5a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 2332\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(\"A\", \"B\", t_start=2.31, t_end=2.33))" ] }, { "cell_type": "code", "execution_count": 18, "id": "33a36c4b-29f6-4897-9c0d-d0b7f1c2a76e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 3017\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(\"A\", \"C\", t_start=3., t_end=4.))" ] }, { "cell_type": "code", "execution_count": 19, "id": "7fbb59b1-55f9-4d07-9f54-adbbb3a64700", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 3270\n" ] } ], "source": [ "run1.append(dynamics.curve_intersection(\"B\", \"C\", t_start=3., t_end=4.))" ] }, { "cell_type": "code", "execution_count": 20, "id": "7222be3e-b1a9-41bd-a0de-6ffc94b00186", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "markdown", "id": "225e1cd9-8c48-4ed4-8510-268476bae0c0", "metadata": {}, "source": [ "### Verify the final equilibrium state:" ] }, { "cell_type": "code", "execution_count": 21, "id": "f13381bb-d635-4667-b28c-99497370bf27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [B] = 30.01 ; [A] = 10.02\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 2.99529\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 3.0\n", "Discrepancy between the two values: 0.157 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: B <-> C\n", "Final concentrations: [C] = 59.98 ; [B] = 30.01\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 1.99873\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 2.0\n", "Discrepancy between the two values: 0.06342 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "2: C + E_high <-> A + E_low\n", "Final concentrations: [A] = 10.02 ; [E_low] = 967.7 ; [C] = 59.98 ; [E_high] = 32.33\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.99971\n", " Formula used: ([A][E_low]) / ([C][E_high])\n", "2. Ratio of forward/reverse reaction rates: 5.0\n", "Discrepancy between the two values: 0.005823 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.is_in_equilibrium()" ] }, { "cell_type": "markdown", "id": "a7d5b200-f748-45df-9565-1957e9e83d49", "metadata": {}, "source": [] }, { "cell_type": "markdown", "id": "14ac6ded-91d2-4601-a997-5b99daaee2cf", "metadata": {}, "source": [] }, { "cell_type": "markdown", "id": "a5caf44d-2cd9-43e7-b64e-4a43fc799fb4", "metadata": {}, "source": [ "# _NOTE: Everything below is JUST A REPEAT of the same experiment, with different time steps, for accuracy comparisons_" ] }, { "cell_type": "markdown", "id": "541c7835-1351-4914-a6ce-dd6827840da2", "metadata": {}, "source": [ "# Run # 2. VARIABLE time resolution" ] }, { "cell_type": "code", "execution_count": 22, "id": "704926a6-b7cd-462e-aad6-bf8809898ffa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 23, "id": "b31872ae-5571-4602-a552-10767b20c7af", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 24, "id": "5747b34d-dc77-4c15-8414-d0b7dbd9a223", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "* INFO: the tentative time step (0.00016) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 8e-06) [Step started at t=0.0001, and will rewind there]\n", "* INFO: the tentative time step (8e-06) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 4e-07) [Step started at t=0.000108, and will rewind there]\n", "* INFO: the tentative time step (0.0017945) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 8.9723e-05) [Step started at t=1.1473, and will rewind there]\n", "* INFO: the tentative time step (0.0015053) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 7.5265e-05) [Step started at t=1.1497, and will rewind there]\n", "* INFO: the tentative time step (0.0019524) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 9.7621e-05) [Step started at t=1.6006, and will rewind there]\n", "* INFO: the tentative time step (0.0016378) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 8.1891e-05) [Step started at t=1.6032, and will rewind there]\n", "* INFO: the tentative time step (0.0021243) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00010622) [Step started at t=1.9278, and will rewind there]\n", "* INFO: the tentative time step (0.001782) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 8.91e-05) [Step started at t=1.9306, and will rewind there]\n", "* INFO: the tentative time step (0.0023113) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00011557) [Step started at t=2.1813, and will rewind there]\n", "* INFO: the tentative time step (0.0019389) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 9.6944e-05) [Step started at t=2.1843, and will rewind there]\n", "* INFO: the tentative time step (0.0025148) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00012574) [Step started at t=2.3895, and will rewind there]\n", "* INFO: the tentative time step (0.0021096) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00010548) [Step started at t=2.3928, and will rewind there]\n", "* INFO: the tentative time step (0.0027362) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00013681) [Step started at t=2.5647, and will rewind there]\n", "* INFO: the tentative time step (0.0022953) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00011476) [Step started at t=2.5683, and will rewind there]\n", "* INFO: the tentative time step (0.0029771) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00014885) [Step started at t=2.7162, and will rewind there]\n", "* INFO: the tentative time step (0.0024973) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00012487) [Step started at t=2.7201, and will rewind there]\n", "* INFO: the tentative time step (0.0032391) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00016196) [Step started at t=2.8508, and will rewind there]\n", "* INFO: the tentative time step (0.0027172) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00013586) [Step started at t=2.855, and will rewind there]\n", "* INFO: the tentative time step (0.0091778) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00045889) [Step started at t=5.1278, and will rewind there]\n", "* INFO: the tentative time step (0.012318) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00061591) [Step started at t=5.213, and will rewind there]\n", "* INFO: the tentative time step (0.010158) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0005079) [Step started at t=5.4028, and will rewind there]\n", "* INFO: the tentative time step (0.013634) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0006817) [Step started at t=5.5243, and will rewind there]\n", "* INFO: the tentative time step (0.018299) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00091496) [Step started at t=5.6103, and will rewind there]\n", "* INFO: the tentative time step (0.024144) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0012072) [Step started at t=5.7888, and will rewind there]\n", "* INFO: the tentative time step (0.031856) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0015928) [Step started at t=6.0015, and will rewind there]\n", "* INFO: the tentative time step (0.026723) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0013361) [Step started at t=6.0733, and will rewind there]\n", "* INFO: the tentative time step (0.035867) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0017933) [Step started at t=6.2026, and will rewind there]\n", "* INFO: the tentative time step (0.030087) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0015044) [Step started at t=6.2834, and will rewind there]\n", "* INFO: the tentative time step (0.040382) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0020191) [Step started at t=6.3916, and will rewind there]\n", "* INFO: the tentative time step (0.0050813) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.00025406) [Step started at t=6.5185, and will rewind there]\n", "* INFO: the tentative time step (0.027935) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0013967) [Step started at t=6.5966, and will rewind there]\n", "* INFO: the tentative time step (0.037493) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0018747) [Step started at t=6.6957, and will rewind there]\n", "* INFO: the tentative time step (0.031452) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0015726) [Step started at t=6.7802, and will rewind there]\n", "* INFO: the tentative time step (0.026384) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0013192) [Step started at t=6.8759, and will rewind there]\n", "* INFO: the tentative time step (0.056658) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0028329) [Step started at t=7.03, and will rewind there]\n", "* INFO: the tentative time step (0.029705) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0014853) [Step started at t=7.1074, and will rewind there]\n", "* INFO: the tentative time step (0.024919) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0012459) [Step started at t=7.1977, and will rewind there]\n", "* INFO: the tentative time step (0.033445) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0016723) [Step started at t=7.2886, and will rewind there]\n", "* INFO: the tentative time step (0.028056) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0014028) [Step started at t=7.3623, and will rewind there]\n", "* INFO: the tentative time step (0.037656) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0018828) [Step started at t=7.4618, and will rewind there]\n", "* INFO: the tentative time step (0.031588) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0015794) [Step started at t=7.5466, and will rewind there]\n", "* INFO: the tentative time step (0.026498) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0013249) [Step started at t=7.6162, and will rewind there]\n", "* INFO: the tentative time step (0.056904) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0028452) [Step started at t=7.7658, and will rewind there]\n", "* INFO: the tentative time step (0.029834) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0014917) [Step started at t=7.8733, and will rewind there]\n", "* INFO: the tentative time step (0.025027) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.05 (set to 0.0012513) [Step started at t=7.967, and will rewind there]\n", "9499 total step(s) taken\n" ] } ], "source": [ "# These settings can be tweaked to make the time resolution finer or coarser\n", "dynamics.set_thresholds(norm=\"norm_A\", low=0.01, high=0.012, abort=0.015)\n", "dynamics.set_thresholds(norm=\"norm_B\", low=0.002, high=0.4, abort=0.5)\n", "dynamics.set_step_factors(upshift=1.6, downshift=0.15, abort=0.05)\n", "dynamics.set_error_step_factor(0.05)\n", "\n", "dynamics.single_compartment_react(initial_step=0.0001, target_end_time=8.0,\n", " variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "markdown", "id": "76da4d47-c7fc-4aa7-be3e-217457be523f", "metadata": { "tags": [] }, "source": [ "### Notice we created 9,499 data points, a fair bit more than in run #1" ] }, { "cell_type": "code", "execution_count": 25, "id": "46e27d73-3541-4be7-8873-09fee3f68a6f", "metadata": {}, "outputs": [], "source": [ "# dynamics.get_history()\n", "# dynamics.explain_time_advance()" ] }, { "cell_type": "code", "execution_count": 26, "id": "952b0e87-1e35-415b-8cd2-73ddb4953d9f", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "61d80b2d-ac5d-4d34-bdaf-9183b07445ab", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate and save them:" ] }, { "cell_type": "code", "execution_count": 28, "id": "3b7374c8-1d91-4490-a20a-a8704f50aabf", "metadata": {}, "outputs": [], "source": [ "run2 = []" ] }, { "cell_type": "code", "execution_count": 29, "id": "06a456e9-3292-464a-b295-b7c6e9416411", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 7575\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=1., t_end=2., chem1=\"E_high\", chem2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 30, "id": "65ba29ca-76d7-4a62-aa7b-9e1655238a0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 8146\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=2.31, t_end=2.33, chem1=\"A\", chem2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 31, "id": "a54cab94-1b24-44fd-bc1f-7500c19455ee", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 8561\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=3., t_end=4., chem1=\"A\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 32, "id": "93b38c9d-2101-4b6b-b4ed-0b42cb6ded06", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 8674\n" ] } ], "source": [ "run2.append(dynamics.curve_intersection(t_start=3., t_end=4., chem1=\"B\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 33, "id": "32f1d5ff-5295-4eb3-a5bb-85bad43b50fa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782443251951959, 500.00000000000193),\n", " (2.3241554672877194, 40.36977692670153),\n", " (3.009628343990496, 31.291806594658606),\n", " (3.2621514583960955, 36.19399820581578)]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": null, "id": "446e53bb-f715-4baf-baee-ce35f02a4e72", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e5c8990-1abc-4349-b651-ac7fdc2cef08", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "edc22090-daf5-4ca4-9109-64589def23de", "metadata": {}, "source": [ "# Run # 3. FIXED time resolution, using the smallest time substeps from run # 2 \n", "#### (i.e. FINER fixed resolution than in run #1)\n" ] }, { "cell_type": "code", "execution_count": 34, "id": "65dbc605-2037-4484-9bad-957ecdcb6451", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 35, "id": "a039ff65-0504-455b-a4f2-1e0c17fdd08c", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 36, "id": "cf6a8313-2a36-4a67-89a7-512217331aeb", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "75 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0004, target_end_time=0.03)" ] }, { "cell_type": "code", "execution_count": 37, "id": "5d46aedb-ab55-4910-b3c9-6f8d49baa236", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9940 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0005, target_end_time=5.)" ] }, { "cell_type": "code", "execution_count": 38, "id": "f2600206-aa79-40b6-8b8d-6061c8a03568", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1200 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0025, target_end_time=8.)" ] }, { "cell_type": "code", "execution_count": 39, "id": "4933f334-e4f5-45e7-be91-3b11e667f244", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
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........................
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112127.992510.01838530.00685859.97475732.330481967.669519
112137.995010.01831230.00683059.97485832.330192967.669808
112147.997510.01823930.00680359.97495832.329904967.670096
112158.000010.01816630.00677659.97505832.329618967.670382
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11216 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0004 99.640000 0.360000 0.000000 1000.000000 0.000000 \n", "2 0.0008 99.281728 0.717120 0.001152 1000.000000 0.000000 \n", "3 0.0012 98.925635 1.071381 0.002984 999.999539 0.000461 \n", "4 0.0016 98.571979 1.422804 0.005218 999.998349 0.001651 \n", "... ... ... ... ... ... ... \n", "11211 7.9900 10.018459 30.006885 59.974656 32.330771 967.669229 \n", "11212 7.9925 10.018385 30.006858 59.974757 32.330481 967.669519 \n", "11213 7.9950 10.018312 30.006830 59.974858 32.330192 967.669808 \n", "11214 7.9975 10.018239 30.006803 59.974958 32.329904 967.670096 \n", "11215 8.0000 10.018166 30.006776 59.975058 32.329618 967.670382 \n", "\n", " caption \n", "0 Initial state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "11211 \n", "11212 \n", "11213 \n", "11214 \n", "11215 \n", "\n", "[11216 rows x 7 columns]" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "4989acc3-3d74-4133-9cdf-b3e7a95a745c", "metadata": {}, "source": [ "### Notice we created 11,217 data points, a fair bit more than in run #2, and a good deal more than in run #1" ] }, { "cell_type": "code", "execution_count": 40, "id": "c8fa980d-361a-45ea-8102-f1c83cc1511f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.03, in 75 steps of 0.0004\n", "From time 0.03 to 5, in 9940 steps of 0.0005\n", "From time 5 to 8, in 1200 steps of 0.0025\n", "(11215 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "3d365566-179d-4f9d-a41c-6dc9d7cfad98", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 41, "id": "dfc1b89b-d661-40bb-8578-e497abdebe32", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "755c36f1-bbef-403e-87ff-3f06456adbee", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate and save them:" ] }, { "cell_type": "code", "execution_count": 43, "id": "2c66065b-1063-498b-a198-f32d19f6e394", "metadata": {}, "outputs": [], "source": [ "run3 = []" ] }, { "cell_type": "code", "execution_count": 44, "id": "77990447-a8ee-4819-bb43-07d9947aa4af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 3172\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=1., t_end=2., chem1=\"E_high\", chem2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 45, "id": "f070aac6-228b-4f05-b403-9a209741628d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 4664\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=2.31, t_end=2.33, chem1=\"A\", chem2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 46, "id": "ba3d9b31-b556-4b91-af5b-f67d45e767c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 6035\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=3., t_end=4., chem1=\"A\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 47, "id": "b2633ff9-092b-4ba4-9a18-b96dd0342277", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 6540\n" ] } ], "source": [ "run3.append(dynamics.curve_intersection(t_start=3., t_end=4., chem1=\"B\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 48, "id": "7c4d7df3-377e-4150-b9eb-c66676036089", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "2fbcdc85-1bf5-4f17-83a1-647a91249c5a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "246e10d8-39ff-40fb-9283-6692440622a6", "metadata": {}, "source": [ "# Finally, compare (using a Euclidean metric) the discrepancy between the runs\n", "Run #3, at high resolution, could be thought of as \"the closest to the actual values\"" ] }, { "cell_type": "code", "execution_count": 49, "id": "08f923d0-c30e-4e64-a173-085a51d66dfc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00032919271043321753" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run1 from run3\n", "num.compare_results(run1, run3)" ] }, { "cell_type": "code", "execution_count": 50, "id": "de481852-d94e-44e3-86da-f8e6a4536270", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0007160611243663918" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run2 from run3\n", "num.compare_results(run2, run3)" ] }, { "cell_type": "markdown", "id": "573ee4cf-2bd6-48c0-a534-90b53f12bc59", "metadata": {}, "source": [ "The fact that our measure of distance of run 2 (with intermediate resolution) from run3 is actually a little GREATER than the distance of run 1 (with low resolution) from run3, might be an artifact of the limited accuracy in the extraction of intersection coordinates from the saved run data." ] }, { "cell_type": "markdown", "id": "6a86de1c-515e-4e7d-8649-b5aa41df3d8d", "metadata": {}, "source": [ "#### The coordinates of the 4 critical points, from the 3 different runs, are pretty similar to one another - as can be easily seen:" ] }, { "cell_type": "code", "execution_count": 51, "id": "3b2b147e-2299-47ae-94dc-05243211fcac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "code", "execution_count": 52, "id": "cda568ff-b329-4911-baff-456c852ada19", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782443251951959, 500.00000000000193),\n", " (2.3241554672877194, 40.36977692670153),\n", " (3.009628343990496, 31.291806594658606),\n", " (3.2621514583960955, 36.19399820581578)]" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": 53, "id": "44397093-e409-4d24-aa97-461ff15d8750", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "6ac33723", "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 }