{ "cells": [ { "cell_type": "markdown", "id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0", "metadata": {}, "source": [ "## 2 COUPLED reactions of different speeds, forming a \"cascade\": \n", "### `A <-> B` (fast) and `B <-> C` (slow)\n", "Taken to equilibrium. Both reactions are mostly forward. All 1st order. \n", "**The concentration of the intermediate product B manifests 1 oscillation (transient \"overshoot\")**\n", "\n", "Adaptive variable time resolution is used, with extensive diagnostics, \n", "and finally compared to a new run using fixed time intervals, with the same initial data.\n", "\n", "In part2, some diagnotic insight is explored. \n", "In part3, two identical runs (\"adaptive variable steps\" and \"fixed small steps\") are compared. \n", "\n", "LAST REVISED: June 14, 2024 (using v. 1.0 beta33)" ] }, { "cell_type": "markdown", "id": "c8763f25-9fab-4b36-89cc-388321a16be0", "metadata": {}, "source": [ "## Bathtub analogy:\n", "A is initially full, while B and C are empty. \n", "Tubs are progressively lower (reactions are mostly forward.) \n", "A BIG pipe connects A and B: fast kinetics. A small pipe connects B and C: slow kinetics. \n", "\n", "INTUITION: B, unable to quickly drain into C while at the same time being blasted by a hefty inflow from A, \n", "will experience a transient surge, in excess of its final equilibrium level.\n", "\n", "* **[Compare with the final reaction plot (the orange line is B)](#cascade_1_plot)**" ] }, { "cell_type": "markdown", "id": "b11f68d6-d3bc-4908-93c0-eaee580acbc1", "metadata": {}, "source": [ "![2 Coupled Reactions](../../docs/2_coupled_reactions.png)" ] }, { "cell_type": "code", "execution_count": 1, "id": "4d9b4808-b2ec-4b90-a604-f7fa69af39b8", "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": "3924c013", "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.uniform_compartment import UniformCompartment\n", "from src.modules.visualization.plotly_helper import PlotlyHelper\n", "\n", "from src.modules.visualization.graphic_log import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "83c3cc5f-de21-4f66-9988-2806fbf0666d", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'cascade_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging (for the graphics)\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": "9329208b-070f-4902-8f37-0f11ddf75ed6", "metadata": {}, "source": [ "# Initialize the System\n", "Specify the chemicals and the reactions" ] }, { "cell_type": "code", "execution_count": 4, "id": "72b4245c-de4e-480d-a501-3495b7ed8bc4", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2\n" ] } ], "source": [ "# Instantiate the simulator and specify the chemicals\n", "chem = ChemData(names=[\"A\", \"B\", \"C\"])\n", "\n", "# Reaction A <-> B (fast)\n", "chem.add_reaction(reactants=[\"A\"], products=[\"B\"],\n", " forward_rate=64., reverse_rate=8.) \n", "\n", "# Reaction B <-> C (slow)\n", "chem.add_reaction(reactants=[\"B\"], products=[\"C\"],\n", " forward_rate=12., reverse_rate=2.) \n", "\n", "print(\"Number of reactions: \", chem.number_of_reactions())" ] }, { "cell_type": "code", "execution_count": 5, "id": "00ea560d-9a49-4041-b119-6de11bfcc7af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: A <-> B (kF = 64 / kR = 8 / delta_G = -5,154.8 / K = 8) | 1st order in all reactants & products\n", "1: B <-> C (kF = 12 / kR = 2 / delta_G = -4,441.7 / K = 6) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'A', 'C', 'B'}\n" ] } ], "source": [ "chem.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 6, "id": "cb582868-431c-4022-aa0e-a2f554f80d6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `cascade_1.log.htm`]\n" ] } ], "source": [ "# Send a plot of the network of reactions to the HTML log file\n", "chem.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "markdown", "id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2", "metadata": {}, "source": [ "## Run the simulation" ] }, { "cell_type": "code", "execution_count": 7, "id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "3 species:\n", " Species 0 (A). Conc: 50.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", "Set of chemicals involved in reactions: {'A', 'C', 'B'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem, preset=\"fast\")\n", "\n", "dynamics.set_conc({\"A\": 50.}, snapshot=True) # Set the initial concentrations of all the chemicals, in their index order\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 8, "id": "0ff2c242-a15b-456d-ad56-0ba1041c0b4c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEABCcaption
00.050.00.00.0Initialized state
\n", "
" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.0 50.0 0.0 0.0 Initialized state" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "fc516ca2-e62d-4784-b826-5372ff7f4c75", "metadata": { "tags": [] }, "source": [ "## Run the reaction" ] }, { "cell_type": "code", "execution_count": 9, "id": "2502cd11-0df9-4303-8895-98401a1df7b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "48 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 1\n", "Number of step re-do's because of elective soft aborts: 5\n", "Norm usage: {'norm_A': 25, 'norm_B': 17, 'norm_C': 16, 'norm_D': 16}\n" ] } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "dynamics.single_compartment_react(initial_step=0.02, duration=0.4,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " variable_steps=True)" ] }, { "cell_type": "markdown", "id": "199b6238-f6ed-44a8-8130-a003444d7658", "metadata": {}, "source": [ "### Plots of changes of concentration with time\n", "Notice the variable time steps (vertical dashed lines)" ] }, { "cell_type": "code", "execution_count": 10, "id": "a2c0e793-5457-46a5-9150-388c9f562cf0", "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=A
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(title=\"Coupled reactions A <-> B and B <-> C\",\n", " colors=['blue', 'orange', 'green'], show_intervals=True)" ] }, { "cell_type": "code", "execution_count": 11, "id": "844183a6-e61f-4b7a-8aa6-013f4530a74b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.011857732428358053, 24.047031609298816)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersect(\"A\", \"B\", t_start=0, t_end=0.05)" ] }, { "cell_type": "code", "execution_count": 12, "id": "025c387b-5bd2-4666-a140-9c66630da072", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.031934885008449314, 8.852813807230596)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersect(\"A\", \"C\", t_start=0, t_end=0.05)" ] }, { "cell_type": "code", "execution_count": 13, "id": "86f3a798-4a5b-4016-b4d1-121f9fb48506", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.07740303497735611, 23.285274847029168)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersect(\"B\", \"C\", t_start=0.05, t_end=0.1)" ] }, { "cell_type": "code", "execution_count": 14, "id": "80fbaee3-bd6f-4197-9270-23374d46a4a7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCcaption
00.00000050.0000000.0000000.000000Initialized state
10.00077847.5116802.4883200.0000001st reaction step
20.00140045.6324754.3489500.018575
30.00202243.8373476.1116360.051017
40.00251942.4654387.4470970.087465
50.00301741.1425428.7256060.131851
60.00351539.8668719.9493000.183829
70.00401238.63670311.1202340.243063
80.00451037.45037812.2403910.309231
90.00500836.30629813.3116800.382022
100.00550535.20292214.3359390.461139
110.00600334.13876715.3149390.546294
120.00650133.11240416.2503860.637210
130.00699832.12245517.1439220.733623
140.00749631.16759517.9971300.835276
150.00824329.78601819.2187360.995246
160.00898928.47774220.3563371.165921
170.00973627.23876421.4147051.346531
180.01048226.06530022.3983471.536353
190.01160224.39801023.7681131.833877
200.01272222.86247424.9883862.149140
210.01384121.44791126.0719942.480095
220.01496120.14442827.0307042.824868
230.01664118.34220428.2976033.360193
240.01832016.75073429.3300123.919255
250.02000015.34421230.1585424.497247
260.02251913.47792031.1357085.386372
270.02503911.93225031.7671906.300559
280.02755810.64853732.1222317.229232
290.0313379.04418632.3244918.631323
300.0351167.83398632.13402610.031989
310.0388966.91073231.67583811.413430
320.0445645.84002630.72121113.438763
330.0502335.11447829.50932715.376196
340.0587364.33855727.53570318.125740
350.0655383.94821925.92491920.126862
360.0757423.48612923.62339322.890478
370.0839053.20756821.96162724.830805
380.0961492.84524019.70514827.449612
390.1059452.60569918.16619029.228112
400.1206382.29074516.13700631.572249
410.1353322.03344214.47684233.489716
420.1573711.71770812.43997635.842316
430.1794111.48819510.95929937.552505
440.2124711.2379299.34477139.417300
450.2455311.0901758.39154340.518282
460.2951210.9593157.54737141.493315
470.3695060.8836537.05906142.057286
480.4810830.8745847.00183542.123581last reaction step
\n", "
" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.000000 50.000000 0.000000 0.000000 Initialized state\n", "1 0.000778 47.511680 2.488320 0.000000 1st reaction step\n", "2 0.001400 45.632475 4.348950 0.018575 \n", "3 0.002022 43.837347 6.111636 0.051017 \n", "4 0.002519 42.465438 7.447097 0.087465 \n", "5 0.003017 41.142542 8.725606 0.131851 \n", "6 0.003515 39.866871 9.949300 0.183829 \n", "7 0.004012 38.636703 11.120234 0.243063 \n", "8 0.004510 37.450378 12.240391 0.309231 \n", "9 0.005008 36.306298 13.311680 0.382022 \n", "10 0.005505 35.202922 14.335939 0.461139 \n", "11 0.006003 34.138767 15.314939 0.546294 \n", "12 0.006501 33.112404 16.250386 0.637210 \n", "13 0.006998 32.122455 17.143922 0.733623 \n", "14 0.007496 31.167595 17.997130 0.835276 \n", "15 0.008243 29.786018 19.218736 0.995246 \n", "16 0.008989 28.477742 20.356337 1.165921 \n", "17 0.009736 27.238764 21.414705 1.346531 \n", "18 0.010482 26.065300 22.398347 1.536353 \n", "19 0.011602 24.398010 23.768113 1.833877 \n", "20 0.012722 22.862474 24.988386 2.149140 \n", "21 0.013841 21.447911 26.071994 2.480095 \n", "22 0.014961 20.144428 27.030704 2.824868 \n", "23 0.016641 18.342204 28.297603 3.360193 \n", "24 0.018320 16.750734 29.330012 3.919255 \n", "25 0.020000 15.344212 30.158542 4.497247 \n", "26 0.022519 13.477920 31.135708 5.386372 \n", "27 0.025039 11.932250 31.767190 6.300559 \n", "28 0.027558 10.648537 32.122231 7.229232 \n", "29 0.031337 9.044186 32.324491 8.631323 \n", "30 0.035116 7.833986 32.134026 10.031989 \n", "31 0.038896 6.910732 31.675838 11.413430 \n", "32 0.044564 5.840026 30.721211 13.438763 \n", "33 0.050233 5.114478 29.509327 15.376196 \n", "34 0.058736 4.338557 27.535703 18.125740 \n", "35 0.065538 3.948219 25.924919 20.126862 \n", "36 0.075742 3.486129 23.623393 22.890478 \n", "37 0.083905 3.207568 21.961627 24.830805 \n", "38 0.096149 2.845240 19.705148 27.449612 \n", "39 0.105945 2.605699 18.166190 29.228112 \n", "40 0.120638 2.290745 16.137006 31.572249 \n", "41 0.135332 2.033442 14.476842 33.489716 \n", "42 0.157371 1.717708 12.439976 35.842316 \n", "43 0.179411 1.488195 10.959299 37.552505 \n", "44 0.212471 1.237929 9.344771 39.417300 \n", "45 0.245531 1.090175 8.391543 40.518282 \n", "46 0.295121 0.959315 7.547371 41.493315 \n", "47 0.369506 0.883653 7.059061 42.057286 \n", "48 0.481083 0.874584 7.001835 42.123581 last reaction step" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 15, "id": "144d0388-a632-4165-a9c5-50bc7943fc88", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0007776, in 1 step of 0.000778\n", "From time 0.0007776 to 0.002022, in 2 steps of 0.000622\n", "From time 0.002022 to 0.007496, in 11 steps of 0.000498\n", "From time 0.007496 to 0.01048, in 4 steps of 0.000746\n", "From time 0.01048 to 0.01496, in 4 steps of 0.00112\n", "From time 0.01496 to 0.02, in 3 steps of 0.00168\n", "From time 0.02 to 0.02756, in 3 steps of 0.00252\n", "From time 0.02756 to 0.0389, in 3 steps of 0.00378\n", "From time 0.0389 to 0.05023, in 2 steps of 0.00567\n", "From time 0.05023 to 0.05874, in 1 step of 0.0085\n", "From time 0.05874 to 0.06554, in 1 step of 0.0068\n", "From time 0.06554 to 0.07574, in 1 step of 0.0102\n", "From time 0.07574 to 0.08391, in 1 step of 0.00816\n", "From time 0.08391 to 0.09615, in 1 step of 0.0122\n", "From time 0.09615 to 0.1059, in 1 step of 0.0098\n", "From time 0.1059 to 0.1353, in 2 steps of 0.0147\n", "From time 0.1353 to 0.1794, in 2 steps of 0.022\n", "From time 0.1794 to 0.2455, in 2 steps of 0.0331\n", "From time 0.2455 to 0.2951, in 1 step of 0.0496\n", "From time 0.2951 to 0.3695, in 1 step of 0.0744\n", "From time 0.3695 to 0.4811, in 1 step of 0.112\n", "(48 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "c02a8f55-a671-4771-86c9-fc4d1b126bf8", "metadata": {}, "source": [ "### Check the final equilibrium" ] }, { "cell_type": "code", "execution_count": 16, "id": "b139f5e4-625f-4a5e-8f57-8f00244dced4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 0.8746 ; [B] = 7.002\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 8.0059\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 8\n", "Discrepancy between the two values: 0.07378 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: B <-> C\n", "Final concentrations: [B] = 7.002 ; [C] = 42.12\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 6.01608\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 6\n", "Discrepancy between the two values: 0.268 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that all the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium()" ] }, { "cell_type": "markdown", "id": "c279c0b2-754e-4574-95a6-ffbe8e162463", "metadata": {}, "source": [ "### Let's look at the final concentrations of `A` and `C` (i.e., the reactant and product of the composite reaction)" ] }, { "cell_type": "code", "execution_count": 17, "id": "c093910f-62f2-43cf-88ef-d5df935a44b8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8745841244150234" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A_final = dynamics.get_chem_conc(\"A\")\n", "A_final" ] }, { "cell_type": "code", "execution_count": 18, "id": "22636dc7-fd18-468f-8ddb-8152891eb9b5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42.123581082850514" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C_final = dynamics.get_chem_conc(\"C\")\n", "C_final" ] }, { "cell_type": "markdown", "id": "420e0075-6b81-4836-8641-b0ccdeacf550", "metadata": {}, "source": [ "#### Their ratio:" ] }, { "cell_type": "code", "execution_count": 19, "id": "8280c0be-2f8d-4f4c-adc0-9ca7f5d5060e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "48.16412727709344" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C_final / A_final" ] }, { "cell_type": "markdown", "id": "07fe7c6c-f8dd-4460-aa08-d7c61d60bd62", "metadata": {}, "source": [ "### As expected the equilibrium constant for the overall reaction `A <-> C` (approx. 48) is indeed the product of the equilibrium constants of the two elementary reactions (K = 8 and K = 6, respectively) that we saw earlier." ] }, { "cell_type": "code", "execution_count": null, "id": "587c2018-e781-43c1-aee8-e78b7b6dc9bf", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "520b3b44-7da9-49d3-9cfd-685607169f01", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "5c3f8b4f-3a75-4a21-8579-13550bcebb3c", "metadata": {}, "source": [ "# PART 2 - DIAGNOSTIC INSIGHT\n", "\n", "Perform some verification" ] }, { "cell_type": "markdown", "id": "07dd5aa4-9e71-40c1-9f15-a16a9333ed10", "metadata": {}, "source": [ "### Take a peek at the diagnostic data saved during the earlier reaction simulation" ] }, { "cell_type": "code", "execution_count": 20, "id": "5ad64dc5-ba89-4f09-b7db-da40de1df4ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction: A <-> B\n" ] }, { "data": { "text/html": [ "
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START_TIMEDelta ADelta BDelta Ctime_stepcaption
00.000000NaNNaNNaN0.020000aborted: neg. conc. in `A`
10.000000-32.00000032.0000000.00.010000aborted: excessive norm value(s)
20.000000-19.20000019.2000000.00.006000aborted: excessive norm value(s)
30.000000-11.52000011.5200000.00.003600aborted: excessive norm value(s)
40.000000-6.9120006.9120000.00.002160aborted: excessive norm value(s)
50.000000-4.1472004.1472000.00.001296aborted: excessive norm value(s)
60.000000-2.4883202.4883200.00.000778
70.000778-1.8792051.8792050.00.000622
80.001400-1.7951281.7951280.00.000622
90.002022-1.3719091.3719090.00.000498
100.002519-1.3228961.3228960.00.000498
110.003017-1.2756711.2756710.00.000498
120.003515-1.2301681.2301680.00.000498
130.004012-1.1863251.1863250.00.000498
140.004510-1.1440801.1440800.00.000498
150.005008-1.1033761.1033760.00.000498
160.005505-1.0641551.0641550.00.000498
170.006003-1.0263631.0263630.00.000498
180.006501-0.9899490.9899490.00.000498
190.006998-0.9548610.9548610.00.000498
200.007496-1.3815771.3815770.00.000746
210.008243-1.3082751.3082750.00.000746
220.008989-1.2389781.2389780.00.000746
230.009736-1.1734641.1734640.00.000746
240.010482-1.6672901.6672900.00.001120
250.011602-1.5355361.5355360.00.001120
260.012722-1.4145631.4145630.00.001120
270.013841-1.3034831.3034830.00.001120
280.014961-1.8022241.8022240.00.001680
290.016641-1.5914701.5914700.00.001680
300.018320-1.4065221.4065220.00.001680
310.020000-1.8662921.8662920.00.002519
320.022519-1.5456701.5456700.00.002519
330.025039-1.2837131.2837130.00.002519
340.027558-1.6043511.6043510.00.003779
350.031337-1.2102001.2102000.00.003779
360.035116-0.9232540.9232540.00.003779
370.038896-1.0707061.0707060.00.005669
380.044564-0.7255490.7255490.00.005669
390.050233-0.7759200.7759200.00.008503
400.058736-0.3903380.3903380.00.006802
410.065538-0.4620900.4620900.00.010204
420.075742-0.2785610.2785610.00.008163
430.083905-0.3623280.3623280.00.012244
440.096149-0.2395410.2395410.00.009796
450.105945-0.3149530.3149530.00.014693
460.120638-0.2573040.2573040.00.014693
470.135332-0.3157330.3157330.00.022040
480.157371-0.2295130.2295130.00.022040
490.179411-0.2502660.2502660.00.033060
500.212471-0.1477540.1477540.00.033060
510.245531-0.1308600.1308600.00.049590
520.295121-0.0756620.0756620.00.074385
530.369506-0.0090680.0090680.00.111577
\n", "
" ], "text/plain": [ " START_TIME Delta A Delta B Delta C time_step \\\n", "0 0.000000 NaN NaN NaN 0.020000 \n", "1 0.000000 -32.000000 32.000000 0.0 0.010000 \n", "2 0.000000 -19.200000 19.200000 0.0 0.006000 \n", "3 0.000000 -11.520000 11.520000 0.0 0.003600 \n", "4 0.000000 -6.912000 6.912000 0.0 0.002160 \n", "5 0.000000 -4.147200 4.147200 0.0 0.001296 \n", "6 0.000000 -2.488320 2.488320 0.0 0.000778 \n", "7 0.000778 -1.879205 1.879205 0.0 0.000622 \n", "8 0.001400 -1.795128 1.795128 0.0 0.000622 \n", "9 0.002022 -1.371909 1.371909 0.0 0.000498 \n", "10 0.002519 -1.322896 1.322896 0.0 0.000498 \n", "11 0.003017 -1.275671 1.275671 0.0 0.000498 \n", "12 0.003515 -1.230168 1.230168 0.0 0.000498 \n", "13 0.004012 -1.186325 1.186325 0.0 0.000498 \n", "14 0.004510 -1.144080 1.144080 0.0 0.000498 \n", "15 0.005008 -1.103376 1.103376 0.0 0.000498 \n", "16 0.005505 -1.064155 1.064155 0.0 0.000498 \n", "17 0.006003 -1.026363 1.026363 0.0 0.000498 \n", "18 0.006501 -0.989949 0.989949 0.0 0.000498 \n", "19 0.006998 -0.954861 0.954861 0.0 0.000498 \n", "20 0.007496 -1.381577 1.381577 0.0 0.000746 \n", "21 0.008243 -1.308275 1.308275 0.0 0.000746 \n", "22 0.008989 -1.238978 1.238978 0.0 0.000746 \n", "23 0.009736 -1.173464 1.173464 0.0 0.000746 \n", "24 0.010482 -1.667290 1.667290 0.0 0.001120 \n", "25 0.011602 -1.535536 1.535536 0.0 0.001120 \n", "26 0.012722 -1.414563 1.414563 0.0 0.001120 \n", "27 0.013841 -1.303483 1.303483 0.0 0.001120 \n", "28 0.014961 -1.802224 1.802224 0.0 0.001680 \n", "29 0.016641 -1.591470 1.591470 0.0 0.001680 \n", "30 0.018320 -1.406522 1.406522 0.0 0.001680 \n", "31 0.020000 -1.866292 1.866292 0.0 0.002519 \n", "32 0.022519 -1.545670 1.545670 0.0 0.002519 \n", "33 0.025039 -1.283713 1.283713 0.0 0.002519 \n", "34 0.027558 -1.604351 1.604351 0.0 0.003779 \n", "35 0.031337 -1.210200 1.210200 0.0 0.003779 \n", "36 0.035116 -0.923254 0.923254 0.0 0.003779 \n", "37 0.038896 -1.070706 1.070706 0.0 0.005669 \n", "38 0.044564 -0.725549 0.725549 0.0 0.005669 \n", "39 0.050233 -0.775920 0.775920 0.0 0.008503 \n", "40 0.058736 -0.390338 0.390338 0.0 0.006802 \n", "41 0.065538 -0.462090 0.462090 0.0 0.010204 \n", "42 0.075742 -0.278561 0.278561 0.0 0.008163 \n", "43 0.083905 -0.362328 0.362328 0.0 0.012244 \n", "44 0.096149 -0.239541 0.239541 0.0 0.009796 \n", "45 0.105945 -0.314953 0.314953 0.0 0.014693 \n", "46 0.120638 -0.257304 0.257304 0.0 0.014693 \n", "47 0.135332 -0.315733 0.315733 0.0 0.022040 \n", "48 0.157371 -0.229513 0.229513 0.0 0.022040 \n", "49 0.179411 -0.250266 0.250266 0.0 0.033060 \n", "50 0.212471 -0.147754 0.147754 0.0 0.033060 \n", "51 0.245531 -0.130860 0.130860 0.0 0.049590 \n", "52 0.295121 -0.075662 0.075662 0.0 0.074385 \n", "53 0.369506 -0.009068 0.009068 0.0 0.111577 \n", "\n", " caption \n", "0 aborted: neg. conc. in `A` \n", "1 aborted: excessive norm value(s) \n", "2 aborted: excessive norm value(s) \n", "3 aborted: excessive norm value(s) \n", "4 aborted: excessive norm value(s) \n", "5 aborted: excessive norm value(s) \n", "6 \n", "7 \n", "8 \n", "9 \n", "10 \n", "11 \n", "12 \n", "13 \n", "14 \n", "15 \n", "16 \n", "17 \n", "18 \n", "19 \n", "20 \n", "21 \n", "22 \n", "23 \n", "24 \n", "25 \n", "26 \n", "27 \n", "28 \n", "29 \n", "30 \n", "31 \n", "32 \n", "33 \n", "34 \n", "35 \n", "36 \n", "37 \n", "38 \n", "39 \n", "40 \n", "41 \n", "42 \n", "43 \n", "44 \n", "45 \n", "46 \n", "47 \n", "48 \n", "49 \n", "50 \n", "51 \n", "52 \n", "53 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Concentration increments due to reaction 0 (A <-> B)\n", "# Note that [C] is not affected\n", "dynamics.get_diagnostic_rxn_data(rxn_index=0)" ] }, { "cell_type": "code", "execution_count": 21, "id": "71f62382-f07a-416d-876f-97832c1f79e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction: B <-> C\n" ] }, { "data": { "text/html": [ "
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START_TIMEDelta ADelta BDelta Ctime_stepcaption
00.0000000.00.0000000.0000000.010000aborted: excessive norm value(s)
10.0000000.00.0000000.0000000.006000aborted: excessive norm value(s)
20.0000000.00.0000000.0000000.003600aborted: excessive norm value(s)
30.0000000.00.0000000.0000000.002160aborted: excessive norm value(s)
40.0000000.00.0000000.0000000.001296aborted: excessive norm value(s)
50.0000000.00.0000000.0000000.000778
60.0007780.0-0.0185750.0185750.000622
70.0014000.0-0.0324420.0324420.000622
80.0020220.0-0.0364480.0364480.000498
90.0025190.0-0.0443870.0443870.000498
100.0030170.0-0.0519780.0519780.000498
110.0035150.0-0.0592340.0592340.000498
120.0040120.0-0.0661680.0661680.000498
130.0045100.0-0.0727910.0727910.000498
140.0050080.0-0.0791170.0791170.000498
150.0055050.0-0.0851550.0851550.000498
160.0060030.0-0.0909170.0909170.000498
170.0065010.0-0.0964130.0964130.000498
180.0069980.0-0.1016530.1016530.000498
190.0074960.0-0.1599700.1599700.000746
200.0082430.0-0.1706750.1706750.000746
210.0089890.0-0.1806100.1806100.000746
220.0097360.0-0.1898220.1898220.000746
230.0104820.0-0.2975240.2975240.001120
240.0116020.0-0.3152630.3152630.001120
250.0127220.0-0.3309540.3309540.001120
260.0138410.0-0.3447730.3447730.001120
270.0149610.0-0.5353250.5353250.001680
280.0166410.0-0.5590620.5590620.001680
290.0183200.0-0.5779920.5779920.001680
300.0200000.0-0.8891250.8891250.002519
310.0225190.0-0.9141880.9141880.002519
320.0250390.0-0.9286730.9286730.002519
330.0275580.0-1.4020911.4020910.003779
340.0313370.0-1.4006661.4006660.003779
350.0351160.0-1.3814421.3814420.003779
360.0388960.0-2.0253332.0253330.005669
370.0445640.0-1.9374331.9374330.005669
380.0502330.0-2.7495442.7495440.008503
390.0587360.0-2.0011232.0011230.006802
400.0655380.0-2.7636152.7636150.010204
410.0757420.0-1.9403271.9403270.008163
420.0839050.0-2.6188072.6188070.012244
430.0961490.0-1.7785001.7785000.009796
440.1059450.0-2.3441372.3441370.014693
450.1206380.0-1.9174671.9174670.014693
460.1353320.0-2.3526002.3526000.022040
470.1573710.0-1.7101891.7101890.022040
480.1794110.0-1.8647951.8647950.033060
490.2124710.0-1.1009821.1009820.033060
500.2455310.0-0.9750330.9750330.049590
510.2951210.0-0.5639720.5639720.074385
520.3695060.0-0.0662950.0662950.111577
\n", "
" ], "text/plain": [ " START_TIME Delta A Delta B Delta C time_step \\\n", "0 0.000000 0.0 0.000000 0.000000 0.010000 \n", "1 0.000000 0.0 0.000000 0.000000 0.006000 \n", "2 0.000000 0.0 0.000000 0.000000 0.003600 \n", "3 0.000000 0.0 0.000000 0.000000 0.002160 \n", "4 0.000000 0.0 0.000000 0.000000 0.001296 \n", "5 0.000000 0.0 0.000000 0.000000 0.000778 \n", "6 0.000778 0.0 -0.018575 0.018575 0.000622 \n", "7 0.001400 0.0 -0.032442 0.032442 0.000622 \n", "8 0.002022 0.0 -0.036448 0.036448 0.000498 \n", "9 0.002519 0.0 -0.044387 0.044387 0.000498 \n", "10 0.003017 0.0 -0.051978 0.051978 0.000498 \n", "11 0.003515 0.0 -0.059234 0.059234 0.000498 \n", "12 0.004012 0.0 -0.066168 0.066168 0.000498 \n", "13 0.004510 0.0 -0.072791 0.072791 0.000498 \n", "14 0.005008 0.0 -0.079117 0.079117 0.000498 \n", "15 0.005505 0.0 -0.085155 0.085155 0.000498 \n", "16 0.006003 0.0 -0.090917 0.090917 0.000498 \n", "17 0.006501 0.0 -0.096413 0.096413 0.000498 \n", "18 0.006998 0.0 -0.101653 0.101653 0.000498 \n", "19 0.007496 0.0 -0.159970 0.159970 0.000746 \n", "20 0.008243 0.0 -0.170675 0.170675 0.000746 \n", "21 0.008989 0.0 -0.180610 0.180610 0.000746 \n", "22 0.009736 0.0 -0.189822 0.189822 0.000746 \n", "23 0.010482 0.0 -0.297524 0.297524 0.001120 \n", "24 0.011602 0.0 -0.315263 0.315263 0.001120 \n", "25 0.012722 0.0 -0.330954 0.330954 0.001120 \n", "26 0.013841 0.0 -0.344773 0.344773 0.001120 \n", "27 0.014961 0.0 -0.535325 0.535325 0.001680 \n", "28 0.016641 0.0 -0.559062 0.559062 0.001680 \n", "29 0.018320 0.0 -0.577992 0.577992 0.001680 \n", "30 0.020000 0.0 -0.889125 0.889125 0.002519 \n", "31 0.022519 0.0 -0.914188 0.914188 0.002519 \n", "32 0.025039 0.0 -0.928673 0.928673 0.002519 \n", "33 0.027558 0.0 -1.402091 1.402091 0.003779 \n", "34 0.031337 0.0 -1.400666 1.400666 0.003779 \n", "35 0.035116 0.0 -1.381442 1.381442 0.003779 \n", "36 0.038896 0.0 -2.025333 2.025333 0.005669 \n", "37 0.044564 0.0 -1.937433 1.937433 0.005669 \n", "38 0.050233 0.0 -2.749544 2.749544 0.008503 \n", "39 0.058736 0.0 -2.001123 2.001123 0.006802 \n", "40 0.065538 0.0 -2.763615 2.763615 0.010204 \n", "41 0.075742 0.0 -1.940327 1.940327 0.008163 \n", "42 0.083905 0.0 -2.618807 2.618807 0.012244 \n", "43 0.096149 0.0 -1.778500 1.778500 0.009796 \n", "44 0.105945 0.0 -2.344137 2.344137 0.014693 \n", "45 0.120638 0.0 -1.917467 1.917467 0.014693 \n", "46 0.135332 0.0 -2.352600 2.352600 0.022040 \n", "47 0.157371 0.0 -1.710189 1.710189 0.022040 \n", "48 0.179411 0.0 -1.864795 1.864795 0.033060 \n", "49 0.212471 0.0 -1.100982 1.100982 0.033060 \n", "50 0.245531 0.0 -0.975033 0.975033 0.049590 \n", "51 0.295121 0.0 -0.563972 0.563972 0.074385 \n", "52 0.369506 0.0 -0.066295 0.066295 0.111577 \n", "\n", " caption \n", "0 aborted: excessive norm value(s) \n", "1 aborted: excessive norm value(s) \n", "2 aborted: excessive norm value(s) \n", "3 aborted: excessive norm value(s) \n", "4 aborted: excessive norm value(s) \n", "5 \n", "6 \n", "7 \n", "8 \n", "9 \n", "10 \n", "11 \n", "12 \n", "13 \n", "14 \n", "15 \n", "16 \n", "17 \n", "18 \n", "19 \n", "20 \n", "21 \n", "22 \n", "23 \n", "24 \n", "25 \n", "26 \n", "27 \n", "28 \n", "29 \n", "30 \n", "31 \n", "32 \n", "33 \n", "34 \n", "35 \n", "36 \n", "37 \n", "38 \n", "39 \n", "40 \n", "41 \n", "42 \n", "43 \n", "44 \n", "45 \n", "46 \n", "47 \n", "48 \n", "49 \n", "50 \n", "51 \n", "52 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Concentration increments due to reaction 1 (B <-> C)\n", "# Note that [A] is not affected. \n", "# Also notice that the 0-th row from the A <-> B reaction isn't seen here, because that step was aborted\n", "# early on, before even getting to THIS reaction\n", "dynamics.get_diagnostic_rxn_data(rxn_index=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "46fdcb5b-ed5f-43a9-9829-533039666d0c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "a539f288-e9bc-44c3-a03a-982174b2babf", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "de51ec27-1d0f-4bfb-83f0-b1c79b436d75", "metadata": { "tags": [] }, "source": [ "# PART 3 : Re-run with very small constant steps, and compare with original run" ] }, { "cell_type": "markdown", "id": "ff9fffab-a1f5-4497-9d7b-c3db023d1bd2", "metadata": {}, "source": [ "We'll use **constant steps of size 0.0005** , which is 1/4 of the smallest steps (the \"substep\" size) previously used in the variable-step run" ] }, { "cell_type": "code", "execution_count": 22, "id": "93418d81-12fa-417d-9906-1dd24a40de48", "metadata": {}, "outputs": [], "source": [ "dynamics2 = UniformCompartment(chem_data=chem) # Re-use the same chemicals and reactions of the previous simulation" ] }, { "cell_type": "code", "execution_count": 23, "id": "ecf2029b-57a7-4db4-9b30-c854da91fb76", "metadata": { "tags": [] }, "outputs": [], "source": [ "dynamics2.set_conc({\"A\": 50.}, snapshot=True)" ] }, { "cell_type": "code", "execution_count": 24, "id": "00777982-d633-4c12-8c92-2ece6bf00e5e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "800 total step(s) taken\n" ] } ], "source": [ "# Notice that we're using FIXED steps this time\n", "dynamics2.single_compartment_react(initial_step=0.0005, duration=0.4,\n", " variable_steps=False,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " )" ] }, { "cell_type": "code", "execution_count": 25, "id": "6bb61113-a081-4366-893d-f94894c44ec2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (801) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
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SYSTEM TIMEABCcaption
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8000.40000.9243097.32150141.754190last reaction step
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801 rows × 5 columns

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" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.0000 50.000000 0.000000 0.000000 Initialized state\n", "1 0.0005 48.400000 1.600000 0.000000 1st reaction step\n", "2 0.0010 46.857600 3.132800 0.009600 \n", "3 0.0015 45.370688 4.600925 0.028387 \n", "4 0.0020 43.937230 6.006806 0.055964 \n", ".. ... ... ... ... ...\n", "796 0.3980 0.925494 7.329151 41.745354 \n", "797 0.3985 0.925195 7.327221 41.747584 \n", "798 0.3990 0.924898 7.325303 41.749800 \n", "799 0.3995 0.924602 7.323396 41.752002 \n", "800 0.4000 0.924309 7.321501 41.754190 last reaction step\n", "\n", "[801 rows x 5 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df2 = dynamics2.get_history()\n", "df2" ] }, { "cell_type": "markdown", "id": "45d5883d-c2c6-40a7-80b4-8a5976b8dfcd", "metadata": {}, "source": [ "## Notice that we now did 800 steps - vs. the 48 of the earlier variable-resolution run!" ] }, { "cell_type": "markdown", "id": "0f590255-1555-43d5-9adb-ace15ac80aa4", "metadata": {}, "source": [ "## Let's compare some entries with the coarser previous variable-time run" ] }, { "cell_type": "markdown", "id": "bfef068e-d576-4c3c-bda8-b0b51c5f88da", "metadata": {}, "source": [ "#### Let's compare the plots of [B] from the earlier (variable-step) run, and the latest (high-precision, fixed-step) one:" ] }, { "cell_type": "code", "execution_count": 30, "id": "b2917e15-1c3a-4597-bc9b-22f0a83b3e08", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Latest run (high-precision result from fine fixed-resolution run)\n", "fig2 = dynamics2.plot_history(chemicals='B', colors=['violet'], title=\"Fine fixed-step run\", \n", " show=True)" ] }, { "cell_type": "code", "execution_count": 32, "id": "62ec9be5-b988-4680-9de3-8ad3271b7865", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "B (adaptive variable steps)
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"white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "The 2 runs, contrasted together" }, "xaxis": { "autorange": true, "range": [ 0, 0.4810828075200001 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "autorange": true, "range": [ -1.795805069078828, 34.120296312497736 ], "title": { "text": "[B]" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "PlotlyHelper.combine_plots(fig_list=[fig1, fig2], title=\"The 2 runs, contrasted together\", \n", " curve_labels=[\"B (adaptive variable steps)\", \"B (fixed small steps)\"])" ] }, { "cell_type": "markdown", "id": "791e4d10-3173-4139-8216-09209acdfe6a", "metadata": {}, "source": [ "#### They overlap fairly well! The 800 fixed-timestep points vs. the 48 adaptable variable-timestep ones.\n", "The adaptive algorithms avoided 752 extra steps of limited benefit..." ] }, { "cell_type": "code", "execution_count": null, "id": "893df3ce-7cb3-4eec-b8a4-397334f65dd4", "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 }