{ "cells": [ { "cell_type": "markdown", "id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0", "metadata": {}, "source": [ "## `A <-> B` , downregulated by the \"shunt\" (coupled reaction) `A <-> S`\n", "### _Kinetic_ advantage (downregulation in early phase) vs. _Thermodynamic_ advantage (long-term downregulation) \n", "\n", "**[Scenario 1](#down_regulate_1_scenario_1)** : No downregulation on `A <-> B `\n", "\n", "**[Scenario 2](#down_regulate_1_scenario_2)** : The shunt (`A <-> S`) has a *kinetic* advantage but *thermodynamic* DIS-advantage compared to `A <-> B ` \n", "(i.e. `A <-> S` is fast, but energetically unfavored) \n", "\n", "**[Scenario 3](#down_regulate_1_scenario_3)** : The shunt (`A <-> S`) is has a *kinetic* DIS-advantage but a *thermodynamic* advantage compared to `A <-> B` \n", "(i.e. `A <-> S` is slow, but energetically favored) \n", "\n", "All reactions 1st order, mostly forward. Taken to equilibrium.\n", "\n", "LAST REVISED: Dec. 3, 2023" ] }, { "cell_type": "markdown", "id": "61171e99-518e-4019-a731-be7437e95dfd", "metadata": {}, "source": [ "## Bathtub analogy:\n", "A is initially full, while B and S are empty. \n", "If the \"shunt\" S is present, scenario 2 corresponds to a large pipe and a small elevation change... \n", "while scenario 3 corresponds to a narrow pipe and a large elevation change." ] }, { "cell_type": "markdown", "id": "832afe37-f169-41c8-a719-e739336bc5cf", "metadata": {}, "source": [ "![Downregulated by shunt](../../docs/down_regulate_1.png)" ] }, { "cell_type": "code", "execution_count": 1, "id": "c4231a63-e456-48e9-bf4f-d074bbd3490a", "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": "64933384", "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", "import plotly.express as px\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 'down_regulate_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_1\"],\n", " extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")" ] }, { "cell_type": "code", "execution_count": null, "id": "001bc666-f2ef-40a3-b46f-30b087ea33da", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "35b5ef15-69da-4fc9-b1e9-fd34a9bafb99", "metadata": {}, "source": [ "# Scenario 1: A <-> B in the absence of the 2nd reaction" ] }, { "cell_type": "markdown", "id": "9329208b-070f-4902-8f37-0f11ddf75ed6", "metadata": {}, "source": [ "### Initialize the System\n", "Specify the chemicals and the reaction" ] }, { "cell_type": "code", "execution_count": 4, "id": "57d8431c-d6d0-462c-af78-e64eeb220e2e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 1 (at temp. 25 C)\n", "0: A <-> B (kF = 30 / kR = 5 / delta_G = -4,441.7 / K = 6) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'A', 'B'}\n" ] } ], "source": [ "# Specify the chemicals\n", "chem_data = chem(names=[\"A\", \"B\"])\n", "\n", "# Reaction A <-> B\n", "chem_data.add_reaction(reactants=[\"A\"], products=[\"B\"],\n", " forward_rate=30., reverse_rate=5.)\n", "\n", "chem_data.describe_reactions()" ] }, { "cell_type": "markdown", "id": "f5eabdf2-0e6b-4141-a886-10974dfc6c3a", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals, in their index order" ] }, { "cell_type": "code", "execution_count": 5, "id": "67a0375f-a14f-4cbe-965b-81d4c841aeab", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "2 species:\n", " Species 0 (A). Conc: 50.0\n", " Species 1 (B). Conc: 0.0\n", "Set of chemicals involved in reactions: {'A', 'B'}\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data)\n", "dynamics.set_conc([50., 0.], snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "markdown", "id": "72a2148e-1aae-4ed7-bab3-5781b3a80fb0", "metadata": {}, "source": [ "### Run the reaction" ] }, { "cell_type": "code", "execution_count": 6, "id": "89f23b49-2840-4517-a275-b6a4f97898af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "49 total step(s) taken\n" ] } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "# All of these settings are currently close to the default values... but subject to change; set for repeatability\n", "dynamics.set_thresholds(norm=\"norm_A\", low=0.5, high=1.0, abort=1.44)\n", "dynamics.set_thresholds(norm=\"norm_B\", low=0.08, high=0.5, abort=1.5)\n", "dynamics.set_step_factors(upshift=1.5, downshift=0.5, abort=0.5)\n", "dynamics.set_error_step_factor(0.5)\n", "\n", "# The changes of concentrations vary very rapidly early on; automated variable timesteps will take care of that\n", "dynamics.single_compartment_react(initial_step=0.001, reaction_duration=0.3,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 7, "id": "80fbaee3-bd6f-4197-9270-23374d46a4a7", "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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEABcaption
00.00000050.0000000.000000Initial state
10.00100048.5000001.5000001st reaction step
20.00150047.7762502.223750
30.00200047.0651662.934834
40.00250046.3665253.633475
50.00300045.6801114.319889
60.00350045.0057094.994291
70.00400044.3431095.656891
80.00450043.6921056.307895
90.00500043.0524936.947507
100.00550042.4240747.575926
110.00600041.8066538.193347
120.00650041.2000378.799963
130.00725040.3060369.693964
140.00800039.43550210.564498
150.00875038.58782011.412180
160.00950037.76239012.237610
170.01062536.55674613.443254
180.01175035.39857414.601426
190.01287534.28600515.713995
200.01400033.21724416.782756
210.01512532.19056517.809435
220.01625031.20431118.795689
230.01793829.78318220.216818
240.01878129.11458520.885415
250.02004728.14130621.858694
260.02194526.74605723.253943
270.02384425.44351624.556484
280.02574224.22752325.772477
290.02764123.09232726.907673
300.02953922.03256027.967440
310.03143821.04320928.956791
320.03428519.65778930.342211
330.03713318.41045131.589549
340.03998017.28743332.712567
350.04282816.27634433.723656
360.04567615.36602834.633972
370.04994714.13664835.863352
380.05421913.09106236.908938
390.05849012.20179437.798206
400.06489711.06731338.932687
410.07130510.18724239.812758
420.0809169.16317440.836826
430.0905268.48358141.516419
440.1049437.80709342.192907
450.1265677.30436442.695636
460.1590047.12100842.878992
470.2076587.15821542.841785
480.2806417.11898542.881015
490.3901147.21045242.789548last reaction step
\n", "
" ], "text/plain": [ " SYSTEM TIME A B caption\n", "0 0.000000 50.000000 0.000000 Initial state\n", "1 0.001000 48.500000 1.500000 1st reaction step\n", "2 0.001500 47.776250 2.223750 \n", "3 0.002000 47.065166 2.934834 \n", "4 0.002500 46.366525 3.633475 \n", "5 0.003000 45.680111 4.319889 \n", "6 0.003500 45.005709 4.994291 \n", "7 0.004000 44.343109 5.656891 \n", "8 0.004500 43.692105 6.307895 \n", "9 0.005000 43.052493 6.947507 \n", "10 0.005500 42.424074 7.575926 \n", "11 0.006000 41.806653 8.193347 \n", "12 0.006500 41.200037 8.799963 \n", "13 0.007250 40.306036 9.693964 \n", "14 0.008000 39.435502 10.564498 \n", "15 0.008750 38.587820 11.412180 \n", "16 0.009500 37.762390 12.237610 \n", "17 0.010625 36.556746 13.443254 \n", "18 0.011750 35.398574 14.601426 \n", "19 0.012875 34.286005 15.713995 \n", "20 0.014000 33.217244 16.782756 \n", "21 0.015125 32.190565 17.809435 \n", "22 0.016250 31.204311 18.795689 \n", "23 0.017938 29.783182 20.216818 \n", "24 0.018781 29.114585 20.885415 \n", "25 0.020047 28.141306 21.858694 \n", "26 0.021945 26.746057 23.253943 \n", "27 0.023844 25.443516 24.556484 \n", "28 0.025742 24.227523 25.772477 \n", "29 0.027641 23.092327 26.907673 \n", "30 0.029539 22.032560 27.967440 \n", "31 0.031438 21.043209 28.956791 \n", "32 0.034285 19.657789 30.342211 \n", "33 0.037133 18.410451 31.589549 \n", "34 0.039980 17.287433 32.712567 \n", "35 0.042828 16.276344 33.723656 \n", "36 0.045676 15.366028 34.633972 \n", "37 0.049947 14.136648 35.863352 \n", "38 0.054219 13.091062 36.908938 \n", "39 0.058490 12.201794 37.798206 \n", "40 0.064897 11.067313 38.932687 \n", "41 0.071305 10.187242 39.812758 \n", "42 0.080916 9.163174 40.836826 \n", "43 0.090526 8.483581 41.516419 \n", "44 0.104943 7.807093 42.192907 \n", "45 0.126567 7.304364 42.695636 \n", "46 0.159004 7.121008 42.878992 \n", "47 0.207658 7.158215 42.841785 \n", "48 0.280641 7.118985 42.881015 \n", "49 0.390114 7.210452 42.789548 last reaction step" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 8, "id": "4fa4035f-00eb-4cc7-a0ff-835bcc8baf52", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.001, in 1 step of 0.001\n", "From time 0.001 to 0.0065, in 11 steps of 0.0005\n", "From time 0.0065 to 0.0095, in 4 steps of 0.00075\n", "From time 0.0095 to 0.01625, in 6 steps of 0.00113\n", "From time 0.01625 to 0.01794, in 1 step of 0.00169\n", "From time 0.01794 to 0.01878, in 1 step of 0.000844\n", "From time 0.01878 to 0.02005, in 1 step of 0.00127\n", "From time 0.02005 to 0.03144, in 6 steps of 0.0019\n", "From time 0.03144 to 0.04568, in 5 steps of 0.00285\n", "From time 0.04568 to 0.05849, in 3 steps of 0.00427\n", "From time 0.05849 to 0.0713, in 2 steps of 0.00641\n", "From time 0.0713 to 0.09053, in 2 steps of 0.00961\n", "From time 0.09053 to 0.1049, in 1 step of 0.0144\n", "From time 0.1049 to 0.1266, in 1 step of 0.0216\n", "From time 0.1266 to 0.159, in 1 step of 0.0324\n", "From time 0.159 to 0.2077, in 1 step of 0.0487\n", "From time 0.2077 to 0.2806, in 1 step of 0.073\n", "From time 0.2806 to 0.3901, in 1 step of 0.109\n", "(49 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "code", "execution_count": 9, "id": "09c03e23-0dd8-4ba0-a5b7-119f5662f23b", "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
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "blue", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.001, 0.0015, 0.002, 0.0025, 0.003, 0.0035, 0.004, 0.0045000000000000005, 0.005000000000000001, 0.005500000000000001, 0.006000000000000002, 0.006500000000000002, 0.007250000000000002, 0.008000000000000002, 0.008750000000000003, 0.009500000000000003, 0.010625000000000002, 0.011750000000000003, 0.012875000000000004, 0.014000000000000005, 0.015125000000000006, 0.016250000000000007, 0.01793750000000001, 0.01878125000000001, 0.02004687500000001, 0.021945312500000008, 0.023843750000000007, 0.025742187500000006, 0.027640625000000005, 0.029539062500000005, 0.03143750000000001, 0.034285156250000004, 0.0371328125, 0.03998046875, 0.042828124999999995, 0.04567578124999999, 0.049947265624999994, 0.054218749999999996, 0.058490234375, 0.0648974609375, 0.0713046875, 0.08091552734375, 0.0905263671875, 0.104942626953125, 0.1265670166015625, 0.15900360107421874, 0.20765847778320312, 0.2806407928466797, 0.39011426544189454 ], "xaxis": "x", "y": [ 50, 48.5, 47.77625, 47.065165625, 46.3665252265625, 45.68011103509766, 45.00570909198345, 44.34310918287374, 43.69210477217345, 43.052492938660414, 42.424074312233856, 41.80665301176976, 41.20003658406379, 40.306035623732114, 39.43550218860915, 38.58782025615816, 37.76238997443401, 36.55674586919067, 35.39857400059129, 34.28600514931801, 33.217243696563614, 32.190564726011424, 31.204311239924724, 29.78318160731667, 29.1145845254756, 28.141305664073673, 26.746057190066278, 25.443516436929453, 24.22752341117879, 23.09232742202195, 22.032559885113383, 21.04320893337206, 19.657789105501013, 18.410451257739847, 17.287433039610033, 16.27634376615046, 15.36602770680152, 14.136647646611827, 13.091062306553424, 12.201794016992618, 11.067312601863614, 10.18724196775331, 9.163173643634613, 8.483580802341594, 7.807093083124942, 7.304363695445292, 7.121008462688337, 7.1582150320836915, 7.118985131225224, 7.210452451616509 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.001, 0.0015, 0.002, 0.0025, 0.003, 0.0035, 0.004, 0.0045000000000000005, 0.005000000000000001, 0.005500000000000001, 0.006000000000000002, 0.006500000000000002, 0.007250000000000002, 0.008000000000000002, 0.008750000000000003, 0.009500000000000003, 0.010625000000000002, 0.011750000000000003, 0.012875000000000004, 0.014000000000000005, 0.015125000000000006, 0.016250000000000007, 0.01793750000000001, 0.01878125000000001, 0.02004687500000001, 0.021945312500000008, 0.023843750000000007, 0.025742187500000006, 0.027640625000000005, 0.029539062500000005, 0.03143750000000001, 0.034285156250000004, 0.0371328125, 0.03998046875, 0.042828124999999995, 0.04567578124999999, 0.049947265624999994, 0.054218749999999996, 0.058490234375, 0.0648974609375, 0.0713046875, 0.08091552734375, 0.0905263671875, 0.104942626953125, 0.1265670166015625, 0.15900360107421874, 0.20765847778320312, 0.2806407928466797, 0.39011426544189454 ], "xaxis": "x", "y": [ 0, 1.5, 2.22375, 2.934834375, 3.6334747734375, 4.3198889649023435, 4.994290908016553, 5.656890817126263, 6.307895227826553, 6.947507061339588, 7.575925687766146, 8.193346988230239, 8.79996341593621, 9.693964376267884, 10.564497811390853, 11.412179743841843, 12.237610025565996, 13.443254130809335, 14.601425999408718, 15.713994850682, 16.782756303436397, 17.80943527398859, 18.79568876007529, 20.216818392683344, 20.885415474524414, 21.85869433592634, 23.253942809933736, 24.55648356307056, 25.772476588821224, 26.907672577978065, 27.96744011488663, 28.956791066627954, 30.342210894499, 31.589548742260167, 32.71256696038998, 33.723656233849546, 34.63397229319849, 35.86335235338818, 36.90893769344658, 37.798205983007385, 38.93268739813639, 39.81275803224669, 40.83682635636539, 41.51641919765841, 42.19290691687506, 42.69563630455471, 42.87899153731166, 42.84178496791631, 42.88101486877478, 42.789547548383496 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0, "x1": 0, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.001, "x1": 0.001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0015, "x1": 0.0015, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.002, "x1": 0.002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0025, "x1": 0.0025, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.003, "x1": 0.003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0035, "x1": 0.0035, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.004, "x1": 0.004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0045000000000000005, "x1": 0.0045000000000000005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.005000000000000001, "x1": 0.005000000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.005500000000000001, "x1": 0.005500000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.006000000000000002, "x1": 0.006000000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.006500000000000002, "x1": 0.006500000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.007250000000000002, "x1": 0.007250000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.008000000000000002, "x1": 0.008000000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.008750000000000003, "x1": 0.008750000000000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.009500000000000003, "x1": 0.009500000000000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.010625000000000002, "x1": 0.010625000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.011750000000000003, "x1": 0.011750000000000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.012875000000000004, "x1": 0.012875000000000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.014000000000000005, "x1": 0.014000000000000005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.015125000000000006, "x1": 0.015125000000000006, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.016250000000000007, "x1": 0.016250000000000007, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.01793750000000001, "x1": 0.01793750000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.01878125000000001, "x1": 0.01878125000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.02004687500000001, "x1": 0.02004687500000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.021945312500000008, "x1": 0.021945312500000008, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.023843750000000007, "x1": 0.023843750000000007, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.025742187500000006, "x1": 0.025742187500000006, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.027640625000000005, "x1": 0.027640625000000005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.029539062500000005, "x1": 0.029539062500000005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.03143750000000001, "x1": 0.03143750000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.034285156250000004, "x1": 0.034285156250000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0371328125, "x1": 0.0371328125, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.03998046875, "x1": 0.03998046875, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.042828124999999995, "x1": 0.042828124999999995, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.04567578124999999, "x1": 0.04567578124999999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.049947265624999994, "x1": 0.049947265624999994, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.054218749999999996, "x1": 0.054218749999999996, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.058490234375, "x1": 0.058490234375, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0648974609375, "x1": 0.0648974609375, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0713046875, "x1": 0.0713046875, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.08091552734375, "x1": 0.08091552734375, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0905263671875, "x1": 0.0905263671875, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.104942626953125, "x1": 0.104942626953125, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.1265670166015625, "x1": 0.1265670166015625, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.15900360107421874, "x1": 0.15900360107421874, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.20765847778320312, "x1": 0.20765847778320312, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.2806407928466797, "x1": 0.2806407928466797, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.39011426544189454, "x1": 0.39011426544189454, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "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": "Single reaction A <-> B (no downregulation) (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0001721598700096622, 0.3902864253119042 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=[\"blue\", \"green\"], title=\"Single reaction A <-> B (no downregulation)\",\n", " show_intervals=True)" ] }, { "cell_type": "markdown", "id": "ce63f6dc-f9fc-4875-82aa-bbd05488ecb5", "metadata": {}, "source": [ "#### Notice the intersection at the exact midpoint of the 2 initial concentrations (50 and 0):" ] }, { "cell_type": "code", "execution_count": 10, "id": "477e29f3-17ee-4037-920a-b3e33920f04a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 27\n" ] }, { "data": { "text/plain": [ "(0.02453617850732098, 25.000000000000007)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersection('A', 'B', t_start=0, t_end=0.1)" ] }, { "cell_type": "code", "execution_count": 11, "id": "58b4b5e5-ebd0-4bb6-8059-6a460d555106", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 7.21 ; [B] = 42.79\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 5.93438\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 6.0\n", "Discrepancy between the two values: 1.094 %\n", "Reaction IS in equilibrium (within 2% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that all the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(tolerance=2)" ] }, { "cell_type": "code", "execution_count": null, "id": "00363317-fe95-4d18-acab-5e6116e01a17", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "3f67c102-0d90-4624-98f3-d6f50719d8c1", "metadata": {}, "source": [ "# Scenario 2: \n", "### downregulated by shunt: \n", "### kinetically fast, \n", "### but with thermodynamical dis-advantage (i.e. energetically un-favored)" ] }, { "cell_type": "code", "execution_count": 12, "id": "589fe009-4bf5-454e-ac37-9abd6ba7ffeb", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: A <-> B (kF = 30 / kR = 5 / delta_G = -4,441.7 / K = 6) | 1st order in all reactants & products\n", "1: A <-> S (kF = 150 / kR = 100 / delta_G = -1,005.1 / K = 1.5) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'A', 'S', 'B'}\n" ] } ], "source": [ "# Register the new chemical (\"S\")\n", "chem_data.add_chemical(\"S\")\n", "\n", "# Add the reaction A <-> S (fast shunt, poor thermodynical energetic advantage)\n", "chem_data.add_reaction(reactants=[\"A\"], products=[\"S\"],\n", " forward_rate=150., reverse_rate=100.) \n", "\n", "chem_data.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 13, "id": "cb582868-431c-4022-aa0e-a2f554f80d6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `down_regulate_1.log.htm`]\n" ] } ], "source": [ "# Send a plot of the network of reactions 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": "b0345d36-5702-4b40-9221-a765dfcb0bac", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals, in their index order" ] }, { "cell_type": "code", "execution_count": 14, "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 (S). Conc: 0.0\n", "Set of chemicals involved in reactions: {'A', 'S', 'B'}\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data) # Notice we're over-writing the earlier \"dynamics\" object\n", "dynamics.set_conc([50., 0, 0.], snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "markdown", "id": "fc516ca2-e62d-4784-b826-5372ff7f4c75", "metadata": { "tags": [] }, "source": [ "### Run the reaction" ] }, { "cell_type": "code", "execution_count": 15, "id": "2502cd11-0df9-4303-8895-98401a1df7b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "* INFO: the tentative time step (0.001) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.0005) [Step started at t=0, and will rewind there]\n", "* INFO: the tentative time step (0.0005) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.00025) [Step started at t=0, and will rewind there]\n", "69 total step(s) taken\n" ] } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "# All of these settings are currently close to the default values... but subject to change; set for repeatability\n", "dynamics.set_thresholds(norm=\"norm_A\", low=0.5, high=1.0, abort=1.44)\n", "dynamics.set_thresholds(norm=\"norm_B\", low=0.05, high=0.5, abort=1.5)\n", "dynamics.set_step_factors(upshift=1.4, downshift=0.5, abort=0.5)\n", "dynamics.set_error_step_factor(0.333)\n", "\n", "# The changes of concentrations vary very rapidly early on; automated variable timesteps will take care of that\n", "dynamics.single_compartment_react(initial_step=0.001, reaction_duration=0.3,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 16, "id": "a41e5009-e2b3-4bea-9892-7b9bd8295a07", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "blue", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00025, 0.0005, 0.000625, 0.00075, 0.000875, 0.001, 0.0011250000000000001, 0.0012500000000000002, 0.0013750000000000004, 0.0015000000000000005, 0.0016250000000000006, 0.0017500000000000007, 0.0018750000000000008, 0.002000000000000001, 0.002125000000000001, 0.002250000000000001, 0.002425000000000001, 0.0026000000000000007, 0.0027750000000000006, 0.0029500000000000004, 0.0031950000000000004, 0.0034400000000000003, 0.0036850000000000003, 0.00393, 0.004273000000000001, 0.004616, 0.004959, 0.005301999999999999, 0.0057821999999999995, 0.0062623999999999996, 0.0067426, 0.0074148799999999996, 0.00808716, 0.00875944, 0.009431720000000001, 0.010372912000000001, 0.011314104000000002, 0.012255296000000002, 0.013572964800000002, 0.014890633600000001, 0.016208302400000003, 0.017525971200000004, 0.019370707520000002, 0.02121544384, 0.02306018016, 0.024904916479999997, 0.027487547327999996, 0.030070178175999995, 0.032652809023999994, 0.03523543987199999, 0.03885112305919999, 0.04246680624639999, 0.046082489433599994, 0.05114444589567999, 0.05620640235775999, 0.06126835881983999, 0.068355097866752, 0.07544183691366399, 0.08536327157934079, 0.09528470624501759, 0.10520614091069438, 0.11512757557637118, 0.1290175841083187, 0.14290759264026623, 0.16235360458499276, 0.18179961652971927, 0.2090240332523364, 0.24713821666400038, 0.3004980734403299 ], "xaxis": "x", "y": [ 50, 47.75, 45.64859375, 44.66719267578125, 43.71811328790283, 42.80026929745396, 41.9126109682043, 41.054123886551125, 40.223827772859735, 39.42077533280426, 38.644051147362724, 37.8927706001656, 37.16607884094086, 36.46314978384084, 35.78318513947698, 35.12541347952824, 34.489089332827014, 33.62725350347759, 32.8046783905835, 32.01951803923119, 31.270013451480796, 30.26827850491721, 29.330013150128366, 28.45104117171431, 27.627461767025835, 26.546899226376617, 25.56109434307849, 24.661324372522067, 23.839671882386817, 22.788661794140847, 21.86389133060972, 21.049113722355155, 20.042609265124447, 19.199818065806582, 18.491306022588905, 17.89296413606485, 17.181877007661072, 16.61631378070575, 16.15991628685906, 15.635777151129258, 15.232632095552788, 14.908911192491823, 14.637762678930528, 14.30746044082853, 14.024185314768312, 13.767989955409249, 13.52873417947965, 13.210210617736598, 12.909381046901496, 12.622251131083386, 12.34726498543078, 11.978167023266383, 11.630216670067812, 11.302129389133135, 10.869025318468358, 10.470531374774115, 10.10388179664945, 9.631591864493602, 9.212140083292068, 8.690605114287667, 8.250756664839527, 7.879800411859993, 7.56694596706695, 7.197551834044781, 6.909157688945086, 6.593939786607042, 6.375490261809635, 6.1635478076992145, 5.9943489684916464, 5.900060944029756 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00025, 0.0005, 0.000625, 0.00075, 0.000875, 0.001, 0.0011250000000000001, 0.0012500000000000002, 0.0013750000000000004, 0.0015000000000000005, 0.0016250000000000006, 0.0017500000000000007, 0.0018750000000000008, 0.002000000000000001, 0.002125000000000001, 0.002250000000000001, 0.002425000000000001, 0.0026000000000000007, 0.0027750000000000006, 0.0029500000000000004, 0.0031950000000000004, 0.0034400000000000003, 0.0036850000000000003, 0.00393, 0.004273000000000001, 0.004616, 0.004959, 0.005301999999999999, 0.0057821999999999995, 0.0062623999999999996, 0.0067426, 0.0074148799999999996, 0.00808716, 0.00875944, 0.009431720000000001, 0.010372912000000001, 0.011314104000000002, 0.012255296000000002, 0.013572964800000002, 0.014890633600000001, 0.016208302400000003, 0.017525971200000004, 0.019370707520000002, 0.02121544384, 0.02306018016, 0.024904916479999997, 0.027487547327999996, 0.030070178175999995, 0.032652809023999994, 0.03523543987199999, 0.03885112305919999, 0.04246680624639999, 0.046082489433599994, 0.05114444589567999, 0.05620640235775999, 0.06126835881983999, 0.068355097866752, 0.07544183691366399, 0.08536327157934079, 0.09528470624501759, 0.10520614091069438, 0.11512757557637118, 0.1290175841083187, 0.14290759264026623, 0.16235360458499276, 0.18179961652971927, 0.2090240332523364, 0.24713821666400038, 0.3004980734403299 ], "xaxis": "x", "y": [ 0, 0.375, 0.73265625, 0.90338056640625, 1.0703179260864257, 1.2335919022122575, 1.3933219171388271, 1.5496233820713816, 1.7026078320321538, 1.8523830562853578, 1.9990532243731955, 2.1427190079105727, 2.2834776982812497, 2.421423320373352, 2.556646742487522, 2.689235782546506, 2.8192753107306454, 2.997876163831098, 3.171796103081003, 3.34124534304137, 3.5064242230721727, 3.7319634522672933, 3.9498636440494073, 4.1606006577388905, 4.364619074545261, 4.641420334415112, 4.906627891581005, 5.161236685537221, 5.406150192414777, 5.736604338940453, 6.05112421372905, 6.351566683000651, 6.75474347195036, 7.136265437946482, 7.499507205981781, 7.847238418845576, 8.31553106977056, 8.761541868715298, 9.189484651139498, 9.767743690129253, 10.32147370606873, 10.85561920833185, 11.373448868263871, 12.078628170930035, 12.759023508181373, 13.417466058071906, 14.055656956997602, 14.922345877556847, 15.753164247115636, 16.54994617903401, 17.31419262563061, 18.340493402220197, 19.308204047608328, 20.220677670182226, 21.42522332707875, 22.533511577138643, 23.55323452305086, 24.86676359878393, 26.03333962045557, 27.483828608610285, 28.707131684493408, 29.738832323038082, 30.608940662350644, 31.63629674888139, 32.43837628159595, 33.31505790681547, 33.92260779243456, 34.51206184909366, 34.982624321214644, 35.245013276795454 ], "yaxis": "y" }, { "hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "S", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "S", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00025, 0.0005, 0.000625, 0.00075, 0.000875, 0.001, 0.0011250000000000001, 0.0012500000000000002, 0.0013750000000000004, 0.0015000000000000005, 0.0016250000000000006, 0.0017500000000000007, 0.0018750000000000008, 0.002000000000000001, 0.002125000000000001, 0.002250000000000001, 0.002425000000000001, 0.0026000000000000007, 0.0027750000000000006, 0.0029500000000000004, 0.0031950000000000004, 0.0034400000000000003, 0.0036850000000000003, 0.00393, 0.004273000000000001, 0.004616, 0.004959, 0.005301999999999999, 0.0057821999999999995, 0.0062623999999999996, 0.0067426, 0.0074148799999999996, 0.00808716, 0.00875944, 0.009431720000000001, 0.010372912000000001, 0.011314104000000002, 0.012255296000000002, 0.013572964800000002, 0.014890633600000001, 0.016208302400000003, 0.017525971200000004, 0.019370707520000002, 0.02121544384, 0.02306018016, 0.024904916479999997, 0.027487547327999996, 0.030070178175999995, 0.032652809023999994, 0.03523543987199999, 0.03885112305919999, 0.04246680624639999, 0.046082489433599994, 0.05114444589567999, 0.05620640235775999, 0.06126835881983999, 0.068355097866752, 0.07544183691366399, 0.08536327157934079, 0.09528470624501759, 0.10520614091069438, 0.11512757557637118, 0.1290175841083187, 0.14290759264026623, 0.16235360458499276, 0.18179961652971927, 0.2090240332523364, 0.24713821666400038, 0.3004980734403299 ], "xaxis": "x", "y": [ 0, 1.875, 3.6187500000000004, 4.4294267578125, 5.2115687860107425, 5.966138800333787, 6.694067114656876, 7.396252731377496, 8.07356439510811, 8.72684161091038, 9.35689562826408, 9.964510391923831, 10.550443460777888, 11.115426895785806, 11.660168118035498, 12.185350737925248, 12.691635356442337, 13.374870332691305, 14.023525506335494, 14.63923661772744, 15.223562325447029, 15.999758042815495, 16.720123205822222, 17.388358170546795, 18.007919158428898, 18.811680439208267, 19.5322777653405, 20.177438941940707, 20.7541779251984, 21.474733866918697, 22.08498445566123, 22.599319594644193, 23.202647262925193, 23.663916496246937, 24.009186771429317, 24.25979744508958, 24.502591922568374, 24.622144350578957, 24.650599062001447, 24.596479158741495, 24.44589419837849, 24.235469599176334, 23.988788452805608, 23.613911388241444, 23.21679117705032, 22.814543986518853, 22.415608863522753, 21.86744350470656, 21.33745470598287, 20.82780268988261, 20.338542388938617, 19.681339574513427, 19.061579282323866, 18.477192940684645, 17.7057513544529, 16.99595704808725, 16.342883680299696, 15.501644536722475, 14.754520296252366, 13.825566277102054, 13.042111650667072, 12.381367265101932, 11.824113370582413, 11.166151417073838, 10.652466029458967, 10.091002306577495, 9.701901945755809, 9.324390343207131, 9.023026710293717, 8.854925779174799 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "shapes": [ { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0, "x1": 0, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.00025, "x1": 0.00025, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0005, "x1": 0.0005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.000625, "x1": 0.000625, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.00075, "x1": 0.00075, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.000875, "x1": 0.000875, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.001, "x1": 0.001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0011250000000000001, "x1": 0.0011250000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0012500000000000002, "x1": 0.0012500000000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0013750000000000004, "x1": 0.0013750000000000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0015000000000000005, "x1": 0.0015000000000000005, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0016250000000000006, "x1": 0.0016250000000000006, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0017500000000000007, "x1": 0.0017500000000000007, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0018750000000000008, "x1": 0.0018750000000000008, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.002000000000000001, "x1": 0.002000000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.002125000000000001, "x1": 0.002125000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.002250000000000001, "x1": 0.002250000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.002425000000000001, "x1": 0.002425000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0026000000000000007, "x1": 0.0026000000000000007, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0027750000000000006, "x1": 0.0027750000000000006, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0029500000000000004, "x1": 0.0029500000000000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0031950000000000004, "x1": 0.0031950000000000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0034400000000000003, "x1": 0.0034400000000000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0036850000000000003, "x1": 0.0036850000000000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.00393, "x1": 0.00393, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.004273000000000001, "x1": 0.004273000000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.004616, "x1": 0.004616, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.004959, "x1": 0.004959, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.005301999999999999, "x1": 0.005301999999999999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0057821999999999995, "x1": 0.0057821999999999995, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0062623999999999996, "x1": 0.0062623999999999996, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0067426, "x1": 0.0067426, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.0074148799999999996, "x1": 0.0074148799999999996, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.00808716, "x1": 0.00808716, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.00875944, "x1": 0.00875944, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.009431720000000001, "x1": 0.009431720000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.010372912000000001, "x1": 0.010372912000000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.011314104000000002, "x1": 0.011314104000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.012255296000000002, "x1": 0.012255296000000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.013572964800000002, "x1": 0.013572964800000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.014890633600000001, "x1": 0.014890633600000001, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.016208302400000003, "x1": 0.016208302400000003, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.017525971200000004, "x1": 0.017525971200000004, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.019370707520000002, "x1": 0.019370707520000002, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.02121544384, "x1": 0.02121544384, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.02306018016, "x1": 0.02306018016, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.024904916479999997, "x1": 0.024904916479999997, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.027487547327999996, "x1": 0.027487547327999996, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.030070178175999995, "x1": 0.030070178175999995, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.032652809023999994, "x1": 0.032652809023999994, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.03523543987199999, "x1": 0.03523543987199999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.03885112305919999, "x1": 0.03885112305919999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.04246680624639999, "x1": 0.04246680624639999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.046082489433599994, "x1": 0.046082489433599994, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.05114444589567999, "x1": 0.05114444589567999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.05620640235775999, "x1": 0.05620640235775999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.06126835881983999, "x1": 0.06126835881983999, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.068355097866752, "x1": 0.068355097866752, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.07544183691366399, "x1": 0.07544183691366399, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.08536327157934079, "x1": 0.08536327157934079, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.09528470624501759, "x1": 0.09528470624501759, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.10520614091069438, "x1": 0.10520614091069438, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.11512757557637118, "x1": 0.11512757557637118, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.1290175841083187, "x1": 0.1290175841083187, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.14290759264026623, "x1": 0.14290759264026623, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.16235360458499276, "x1": 0.16235360458499276, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.18179961652971927, "x1": 0.18179961652971927, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.2090240332523364, "x1": 0.2090240332523364, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.24713821666400038, "x1": 0.24713821666400038, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" }, { "line": { "color": "gray", "dash": "dot", "width": 1 }, "type": "line", "x0": 0.3004980734403299, "x1": 0.3004980734403299, "xref": "x", "y0": 0, "y1": 1, "yref": "y domain" } ], "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "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": "Coupled reactions A <-> B and A <-> S (fast but disadvantaged energetically) (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0001326116828951147, 0.30063068512322505 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=[\"blue\", \"green\", \"red\"],\n", " title=\"Coupled reactions A <-> B and A <-> S (fast but disadvantaged energetically)\",\n", " show_intervals=True)" ] }, { "cell_type": "markdown", "id": "f4a147c6-cad1-47ca-bc1e-79b43a29e5c0", "metadata": {}, "source": [ "### Notice how the \"alternate (shunt) path\" of the reaction, i.e. S (red) \n", "### has a FAST START (fast kinetics),\n", "### but EVENTUALLY PETERS OUT (energy dis-advantage)" ] }, { "cell_type": "code", "execution_count": 17, "id": "104ccbd8-d2d8-475e-a9e5-40698293a077", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0005, in 2 steps of 0.00025\n", "From time 0.0005 to 0.00225, in 14 steps of 0.000125\n", "From time 0.00225 to 0.00295, in 4 steps of 0.000175\n", "From time 0.00295 to 0.00393, in 4 steps of 0.000245\n", "From time 0.00393 to 0.005302, in 4 steps of 0.000343\n", "From time 0.005302 to 0.006743, in 3 steps of 0.00048\n", "From time 0.006743 to 0.009432, in 4 steps of 0.000672\n", "From time 0.009432 to 0.01226, in 3 steps of 0.000941\n", "From time 0.01226 to 0.01753, in 4 steps of 0.00132\n", "From time 0.01753 to 0.0249, in 4 steps of 0.00184\n", "From time 0.0249 to 0.03524, in 4 steps of 0.00258\n", "From time 0.03524 to 0.04608, in 3 steps of 0.00362\n", "From time 0.04608 to 0.06127, in 3 steps of 0.00506\n", "From time 0.06127 to 0.07544, in 2 steps of 0.00709\n", "From time 0.07544 to 0.1151, in 4 steps of 0.00992\n", "From time 0.1151 to 0.1429, in 2 steps of 0.0139\n", "From time 0.1429 to 0.1818, in 2 steps of 0.0194\n", "From time 0.1818 to 0.209, in 1 step of 0.0272\n", "From time 0.209 to 0.2471, in 1 step of 0.0381\n", "From time 0.2471 to 0.3005, in 1 step of 0.0534\n", "(69 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "code", "execution_count": 18, "id": "bd33b1e8-abd2-4392-9884-8fd56ee0841c", "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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEABScaption
00.00000050.0000000.0000000.000000Initial state
10.00025047.7500000.3750001.8750001st reaction step
20.00050045.6485940.7326563.618750
30.00062544.6671930.9033814.429427
40.00075043.7181131.0703185.211569
..................
650.1623546.59394033.31505810.091002
660.1818006.37549033.9226089.701902
670.2090246.16354834.5120629.324390
680.2471385.99434934.9826249.023027
690.3004985.90006135.2450138.854926last reaction step
\n", "

70 rows × 5 columns

\n", "
" ], "text/plain": [ " SYSTEM TIME A B S caption\n", "0 0.000000 50.000000 0.000000 0.000000 Initial state\n", "1 0.000250 47.750000 0.375000 1.875000 1st reaction step\n", "2 0.000500 45.648594 0.732656 3.618750 \n", "3 0.000625 44.667193 0.903381 4.429427 \n", "4 0.000750 43.718113 1.070318 5.211569 \n", ".. ... ... ... ... ...\n", "65 0.162354 6.593940 33.315058 10.091002 \n", "66 0.181800 6.375490 33.922608 9.701902 \n", "67 0.209024 6.163548 34.512062 9.324390 \n", "68 0.247138 5.994349 34.982624 9.023027 \n", "69 0.300498 5.900061 35.245013 8.854926 last reaction step\n", "\n", "[70 rows x 5 columns]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 19, "id": "b139f5e4-625f-4a5e-8f57-8f00244dced4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 5.9 ; [B] = 35.25\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 5.97367\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 6.0\n", "Discrepancy between the two values: 0.4388 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: A <-> S\n", "Final concentrations: [A] = 5.9 ; [S] = 8.855\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 1.50082\n", " Formula used: [S] / [A]\n", "2. Ratio of forward/reverse reaction rates: 1.5\n", "Discrepancy between the two values: 0.05463 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that all the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "f87fe3c7-2c0d-4e3c-aff0-350bd04ea1a7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "9e9260a7-5777-4eee-93b8-c46b8364e24f", "metadata": {}, "source": [ "# Scenario 3: \n", "### downregulated by shunt: \n", "### kinetically slow, \n", "### but with thermodynamical advantage (i.e. energetically favored)" ] }, { "cell_type": "code", "execution_count": 20, "id": "04476dab-f845-4533-8f26-fd0eecf8304f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: A <-> B (kF = 30 / kR = 5 / delta_G = -4,441.7 / K = 6) | 1st order in all reactants & products\n", "1: A <-> S (kF = 3 / kR = 0.1 / delta_G = -8,431.4 / K = 30) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'A', 'S', 'B'}\n" ] } ], "source": [ "# Specify the chemicals (notice that we're starting with new objects)\n", "chem_data = chem(names=[\"A\", \"B\", \"S\"])\n", "\n", "# Reaction A <-> B (as before)\n", "chem_data.add_reaction(reactants=[\"A\"], products=[\"B\"],\n", " forward_rate=30., reverse_rate=5.) \n", "\n", "# Reaction A <-> S (slow shunt, excellent thermodynamical energetic advantage)\n", "chem_data.add_reaction(reactants=[\"A\"], products=[\"S\"],\n", " forward_rate=3., reverse_rate=0.1)\n", "\n", "chem_data.describe_reactions()" ] }, { "cell_type": "markdown", "id": "6154b260-ce64-450a-b069-22cb920818d3", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals, in their index order" ] }, { "cell_type": "code", "execution_count": 21, "id": "a45c9ebf-d06e-443f-a1a1-a5b2db6803b7", "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 (S). Conc: 0.0\n", "Set of chemicals involved in reactions: {'A', 'S', 'B'}\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data)\n", "dynamics.set_conc([50., 0, 0.], snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "markdown", "id": "e6bddc07-e9cf-4236-bd2b-0e1fe0567800", "metadata": { "tags": [] }, "source": [ "### Run the reaction" ] }, { "cell_type": "code", "execution_count": 22, "id": "3800cb7b-475e-4437-a982-af2760355795", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "* INFO: the tentative time step (0.005) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.25 (set to 0.00125) [Step started at t=0, and will rewind there]\n", "454 total step(s) taken\n" ] } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "# These settings can be tweaked to make the time resolution finer or coarser\n", "dynamics.set_thresholds(norm=\"norm_A\", low=2.0, high=5.0, abort=10.0)\n", "dynamics.set_thresholds(norm=\"norm_B\", low=0.008, high=0.5, abort=2.0) # The \"low\" value here seems especially critical to fend off instabilities\n", "dynamics.set_step_factors(upshift=1.5, downshift=0.25, abort=0.25)\n", "dynamics.set_error_step_factor(0.2)\n", "\n", "# The changes of concentrations vary very rapidly early on; automated variable timesteps will take care of that\n", "dynamics.single_compartment_react(initial_step=0.005, reaction_duration=7.0,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 23, "id": "8a533692-7830-49a2-83f5-8da6aa201935", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "blue", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996, 0.29310791015624993, 0.2984472656249999, 0.3037866210937499, 0.30912597656249985, 0.3144653320312498, 0.3198046874999998, 0.32514404296874977, 0.33048339843749974, 0.3358227539062497, 0.3411621093749997, 0.34650146484374966, 0.35184082031249964, 0.3571801757812496, 0.3625195312499996, 0.36785888671874956, 0.37319824218749953, 0.3785375976562495, 0.3838769531249995, 0.38921630859374945, 0.3945556640624994, 0.3998950195312494, 0.4079040527343744, 0.4159130859374994, 0.42392211914062444, 0.43193115234374946, 0.4399401855468745, 0.4479492187499995, 0.4559582519531245, 0.4639672851562495, 0.47197631835937454, 0.47998535156249955, 0.48799438476562457, 0.4960034179687496, 0.5040124511718745, 0.5120214843749995, 0.5200305175781245, 0.5280395507812494, 0.5360485839843744, 0.5440576171874993, 0.5520666503906243, 0.5600756835937493, 0.5680847167968742, 0.5760937499999992, 0.5841027832031241, 0.5921118164062491, 0.6001208496093741, 0.608129882812499, 0.616138916015624, 0.6241479492187489, 0.6321569824218739, 0.6401660156249989, 0.6521795654296864, 0.6641931152343739, 0.6762066650390613, 0.6882202148437488, 0.7002337646484363, 0.7122473144531238, 0.7242608642578113, 0.7362744140624988, 0.7482879638671863, 0.7603015136718738, 0.7723150634765613, 0.7843286132812488, 0.7963421630859363, 0.8083557128906238, 0.8203692626953113, 0.8323828124999988, 0.8443963623046863, 0.8564099121093738, 0.8684234619140613, 0.8804370117187488, 0.8924505615234363, 0.9044641113281238, 0.9164776611328113, 0.9284912109374988, 0.9405047607421863, 0.9525183105468737, 0.970538635253905, 0.9885589599609363, 1.0065792846679675, 1.0245996093749987, 1.04261993408203, 1.060640258789061, 1.0786605834960923, 1.0966809082031235, 1.1147012329101547, 1.1327215576171858, 1.150741882324217, 1.1687622070312482, 1.1867825317382794, 1.2048028564453106, 1.2228231811523418, 1.240843505859373, 1.2588638305664042, 1.2768841552734354, 1.2949044799804665, 1.3129248046874977, 1.330945129394529, 1.34896545410156, 1.375995941162107, 1.4030264282226539, 1.4300569152832008, 1.4570874023437477, 1.4841178894042946, 1.5111483764648415, 1.5381788635253884, 1.5652093505859352, 1.5922398376464821, 1.619270324707029, 1.646300811767576, 1.6733312988281228, 1.7003617858886697, 1.7273922729492166, 1.7544227600097635, 1.7814532470703104, 1.8084837341308573, 1.8355142211914042, 1.862544708251951, 1.889575195312498, 1.9166056823730448, 1.9436361694335917, 1.9706666564941386, 1.9976971435546855, 2.0382428741455056, 2.0787886047363258, 2.119334335327146, 2.159880065917966, 2.200425796508786, 2.2409715270996062, 2.2815172576904263, 2.3220629882812465, 2.3626087188720666, 2.4031544494628867, 2.443700180053707, 2.484245910644527, 2.524791641235347, 2.565337371826167, 2.6058831024169873, 2.6464288330078074, 2.6869745635986275, 2.7275202941894476, 2.7680660247802678, 2.808611755371088, 2.849157485961908, 2.889703216552728, 2.930248947143548, 2.9707946777343683, 3.0113404083251885, 3.0518861389160086, 3.0924318695068287, 3.132977600097649, 3.173523330688469, 3.214069061279289, 3.254614791870109, 3.2951605224609293, 3.3357062530517494, 3.3762519836425695, 3.4167977142333896, 3.4573434448242097, 3.49788917541503, 3.53843490600585, 3.57898063659667, 3.61952636718749, 3.6600720977783103, 3.7208906936645407, 3.781709289550771, 3.8425278854370015, 3.903346481323232, 3.9641650772094623, 4.024983673095693, 4.085802268981923, 4.1466208648681535, 4.207439460754384, 4.268258056640614, 4.329076652526845, 4.389895248413075, 4.4507138442993055, 4.511532440185536, 4.572351036071766, 4.633169631957997, 4.693988227844227, 4.7548068237304575, 4.815625419616688, 4.876444015502918, 4.967671909332264, 5.0588998031616095, 5.150127696990955, 5.241355590820301, 5.332583484649646, 5.423811378478992, 5.5150392723083375, 5.606267166137683, 5.697495059967029, 5.788722953796374, 5.87995084762572, 5.971178741455065, 6.108020582199084, 6.244862422943103, 6.381704263687122, 6.518546104431141, 6.65538794517516, 6.7922297859191785, 6.929071626663197, 7.134334387779226 ], "xaxis": "x", "y": [ 50, 47.9375, 45.9718203125, 45.503467606689455, 45.040610612130536, 44.583184741656176, 44.13112616716149, 43.68437181068289, 43.242859335582004, 42.80652713783324, 42.37531433741376, 41.94916076979458, 41.52800697753174, 41.11179420195624, 40.70046437496171, 40.29396011088851, 39.89222469850329, 39.495202093072756, 39.10283690853061, 38.71507440973658, 38.33186050482635, 37.953141737651485, 37.57886528030812, 37.20897892575354, 36.843431080509475, 36.48217075745115, 36.125147568681136, 35.77231171848688, 35.42361399638108, 35.079005770223745, 34.73843897942521, 34.40186612822897, 34.06924027907342, 33.7405150460317, 33.41564458832859, 33.094583603933565, 32.77728732322922, 32.46371150275405, 32.15381241901881, 31.847546862395507, 31.544872131078236, 31.24574602511499, 30.95012684050962, 30.657973363393076, 30.369244864263205, 30.08390109229219, 29.801902269700932, 29.52320908619953, 29.247782693493097, 28.97558469985216, 28.706577164746857, 28.440722593544198, 28.17798393226766, 27.918324562418356, 27.661708295857064, 27.408099369746434, 27.157462441552592, 26.909762584105536, 26.66496528071754, 26.42303642035896, 26.183942292890737, 25.9476495843529, 25.71412537230847, 25.483337121242084, 25.25525267801267, 25.029840267359607, 24.807068487461645, 24.58690630554808, 24.36932305356146, 24.15428842387128, 23.941772465038063, 23.731745577627223, 23.524178510072097, 23.319042354585637, 23.11630854312012, 22.915948843374363, 22.71793535484784, 22.52224050494119, 22.328837045102567, 22.137698047019235, 21.948796898853967, 21.762107301525656, 21.577603265033638, 21.395259104825218, 21.21504943820588, 21.036949180791698, 20.860933543003426, 20.686978026601807, 20.51505842126358, 20.345150801197747, 20.177231521801605, 20.011277216356067, 19.84726479275982, 19.68517143030189, 19.524974576472104, 19.366651943809064, 19.210181506785144, 19.055541498728118, 18.902710408778947, 18.751666978885332, 18.52775181180322, 18.30776489839474, 18.091636992706473, 17.87930006950633, 17.670687302763703, 17.46573304450902, 17.26437280406592, 17.066543227649603, 16.872182078324794, 16.681228216317045, 16.493621579671107, 16.3093031652503, 16.1282150100708, 15.95030017296503, 15.775502716568253, 15.60376768962276, 15.435041109593989, 15.269269945593106, 15.106402101600649, 14.946386399985913, 14.789172565316864, 14.63471120845547, 14.482953810933408, 14.333852709603219, 14.18736108156003, 14.043432929329098, 13.902023066314472, 13.763087102504185, 13.626581430427443, 13.492463211359366, 13.36069036176894, 13.23122154000585, 13.104016133222029, 12.979034244523758, 12.856236680350252, 12.735584938074755, 12.617041193824212, 12.500568290513659, 12.386129726091557, 12.273689641992348, 12.163212811792574, 12.054664630066979, 11.94801110144106, 11.843218829836612, 11.740255007906866, 11.639087406657852, 11.539684365252757, 11.442014780995988, 11.346048099493826, 11.251754304988525, 11.159103910862813, 11.068067950311784, 10.97861796717924, 10.890726006955568, 10.80436460793432, 10.677077884819875, 10.553114595310111, 10.43238687191389, 10.314809170631266, 10.200298209512985, 10.088772908844662, 9.980154332912683, 9.874365633309992, 9.771331993741068, 9.670980576286421, 9.573240469088036, 9.478042635418173, 9.385319864094955, 9.29500672120912, 9.20703950312728, 9.12135619073792, 9.037896404907269, 8.956601363113075, 8.877413837225113, 8.80027811240211, 8.725139947075567, 8.65194653399174, 8.58064646228379, 8.51118968054687, 8.443527460889623, 8.34465481545959, 8.249609280014845, 8.158239102199522, 8.070398548855577, 7.985947667272658, 7.904752055907955, 7.8266826442003925, 7.751615481118442, 7.679431532095141, 7.6100164840176365, 7.543260557951775, 7.479058329294929, 7.41730855506243, 7.35791400802463, 7.300781317422895, 7.218340565293883, 7.140593489868632, 7.067260995140461, 6.998080590395847, 6.93280540224666, 6.871203245443679, 6.8130557489740635, 6.7581575341535585, 6.706315441619872, 6.632863985666714, 6.565495622342111, 6.503668012642315, 6.446887218369929, 6.394703382568518, 6.346706795460069, 6.280433069491154, 6.221976425326633, 6.170292248126131, 6.124475760963174, 6.083743304922147, 6.047416125202848, 6.014906327756855, 5.9857047158896135, 5.9593702551598104, 5.935520948598144, 5.913825933447956, 5.893998635904289, 5.875790842218578, 5.858987563496375, 5.843402587937505, 5.828874628491694, 5.815263986222215, 5.8024496603404305, 5.790326845116018, 5.778804761872363, 5.767804781209725, 5.7572587966037965, 5.747107815728363, 5.737300740355653, 5.72779330958973, 5.71854718456777, 5.709529155691101, 5.700710455983126, 5.69206616636706, 5.679328967653936, 5.666893548309878, 5.654705235267859, 5.642720318410605, 5.63090384921902, 5.619227881458357, 5.6076700651396525, 5.5962125228177175, 5.584840951531689, 5.573543905078432, 5.562312220407454, 5.5511385591972875, 5.540017041484575, 5.528942952861405, 5.517912510468176, 5.506922675975676, 5.495971006120795, 5.485055533255019, 5.4741746698790115, 5.463327132346845, 5.452511879890534, 5.441728065888519, 5.43097499891948, 5.420252111636559, 5.409558935891619, 5.398895082854533, 5.388260227124469, 5.377654094031582, 5.367076449488452, 5.35652709187929, 5.346005845577714, 5.335512555766072, 5.325047084294959, 5.30939041741361, 5.293795804349249, 5.278262889122162, 5.262791350740035, 5.247380892944181, 5.232031237043137, 5.216742116903688, 5.201513275449505, 5.1863444622133095, 5.171235431625219, 5.156185941815565, 5.1411957537771995, 5.1262646307790405, 5.111392337955163, 5.096578642016583, 5.0818233110487725, 5.067126114369088, 5.052486822426079, 5.037905206728054, 5.023381039792104, 5.008914095107427, 4.994504147108639, 4.980150971156085, 4.965854343521027, 4.951614041374258, 4.937429842777111, 4.923301526674139, 4.909228872886978, 4.895211662109029, 4.881249675900722, 4.860389207077437, 4.839652016371997, 4.819037375245639, 4.798544559468648, 4.77817284909325, 4.757921528427404, 4.7377898860091605, 4.71777721458139, 4.697882811066787, 4.678105976543086, 4.658446016218462, 4.638902239407098, 4.619473959504905, 4.6001604939653955, 4.580961164275698, 4.561875295932717, 4.542902218419438, 4.524041265181368, 4.50529177360312, 4.486653084985133, 4.468124544520532, 4.449705501272121, 4.431395308149517, 4.413193321886414, 4.3950989030179874, 4.377111415858427, 4.350289634788691, 4.323705614785403, 4.297357248221014, 4.271242446150989, 4.245359138148196, 4.219705272138757, 4.194278814239356, 4.1690777485959885, 4.144100077224143, 4.119343819850396, 4.094807013755411, 4.070487713618334, 4.046383991362562, 4.022493936002886, 3.9988156534939776, 3.9753472665802323, 3.952086914646935, 3.9290327535727476, 3.906182955583503, 3.8835357091072957, 3.861089218630859, 3.8388417045572134, 3.805766252318255, 3.773130594967105, 3.7409288846761366, 3.7091553513746263, 3.6778043017148407, 3.6468701180518726, 3.616347257437043, 3.586230250624686, 3.556513701092141, 3.5271922840727745, 3.498260745601862, 3.469713901575156, 3.441546636819968, 3.4137539041786074, 3.386330723604006, 3.359272181267365, 3.33257342867767, 3.3062296818129147, 3.2802362202628728, 3.254588386383272, 3.229281584461213, 3.2043112798916815, 3.1796729983650205, 3.1553623250651954, 3.119381193285491, 3.0841177078300124, 3.04955755518995, 3.0156867073404845, 2.9824914160467824, 2.949958207283568, 2.9180738757659923, 2.8868254795895862, 2.856200334977119, 2.826186011130227, 2.796770325183742, 2.767941337260635, 2.739687345625607, 2.7119968819353266, 2.684858706583422, 2.658261804138292, 2.6321953788719346, 2.6066488503779373, 2.581611849276871, 2.557074213007345, 2.533025981701005, 2.5094573941398024, 2.486358883793905, 2.4637210749386185, 2.441534778848772, 2.4197909900689942, 2.3984808827583857, 2.377595807108089, 2.3571272858303303, 2.3370670107174556, 2.3174068392696316, 2.298138791389781, 2.2792550461444514, 2.260747938589283, 2.2426099566577986, 2.2248337381122383, 2.2074120675552167, 2.190337873500982, 2.173604225505085, 2.1572043313513047, 2.141131534294669, 2.117503198391883, 2.094581765839664, 2.072346087778903, 2.050775648073815, 2.0298505443823824, 2.0095514697930943, 1.98985969501111, 1.9707570510773238, 1.9522259126044894, 1.9342491815148066, 1.9168102712641417, 1.8998930915380803, 1.8834820334060334, 1.8675619549192304, 1.8521181671399392, 1.8371364205882013, 1.8226028920946353, 1.8085041720458177, 1.794827252012225, 1.7815595127450656, 1.7622533124282058, 1.7438135051831811, 1.7262012103958675, 1.7093792922693096, 1.6933122815412252, 1.6779663006505876, 1.6633089924179272, 1.6493094515482993, 1.6359381601267982, 1.6231669237756743, 1.610968816104998, 1.5993181124600018, 1.5826263318503955, 1.567058107952035, 1.5525380365322703, 1.5389946180371774, 1.526366021799498, 1.5145744448654386, 1.5036308059963888, 1.4879832957000314 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "showlegend": true, "type": "scattergl", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996, 0.29310791015624993, 0.2984472656249999, 0.3037866210937499, 0.30912597656249985, 0.3144653320312498, 0.3198046874999998, 0.32514404296874977, 0.33048339843749974, 0.3358227539062497, 0.3411621093749997, 0.34650146484374966, 0.35184082031249964, 0.3571801757812496, 0.3625195312499996, 0.36785888671874956, 0.37319824218749953, 0.3785375976562495, 0.3838769531249995, 0.38921630859374945, 0.3945556640624994, 0.3998950195312494, 0.4079040527343744, 0.4159130859374994, 0.42392211914062444, 0.43193115234374946, 0.4399401855468745, 0.4479492187499995, 0.4559582519531245, 0.4639672851562495, 0.47197631835937454, 0.47998535156249955, 0.48799438476562457, 0.4960034179687496, 0.5040124511718745, 0.5120214843749995, 0.5200305175781245, 0.5280395507812494, 0.5360485839843744, 0.5440576171874993, 0.5520666503906243, 0.5600756835937493, 0.5680847167968742, 0.5760937499999992, 0.5841027832031241, 0.5921118164062491, 0.6001208496093741, 0.608129882812499, 0.616138916015624, 0.6241479492187489, 0.6321569824218739, 0.6401660156249989, 0.6521795654296864, 0.6641931152343739, 0.6762066650390613, 0.6882202148437488, 0.7002337646484363, 0.7122473144531238, 0.7242608642578113, 0.7362744140624988, 0.7482879638671863, 0.7603015136718738, 0.7723150634765613, 0.7843286132812488, 0.7963421630859363, 0.8083557128906238, 0.8203692626953113, 0.8323828124999988, 0.8443963623046863, 0.8564099121093738, 0.8684234619140613, 0.8804370117187488, 0.8924505615234363, 0.9044641113281238, 0.9164776611328113, 0.9284912109374988, 0.9405047607421863, 0.9525183105468737, 0.970538635253905, 0.9885589599609363, 1.0065792846679675, 1.0245996093749987, 1.04261993408203, 1.060640258789061, 1.0786605834960923, 1.0966809082031235, 1.1147012329101547, 1.1327215576171858, 1.150741882324217, 1.1687622070312482, 1.1867825317382794, 1.2048028564453106, 1.2228231811523418, 1.240843505859373, 1.2588638305664042, 1.2768841552734354, 1.2949044799804665, 1.3129248046874977, 1.330945129394529, 1.34896545410156, 1.375995941162107, 1.4030264282226539, 1.4300569152832008, 1.4570874023437477, 1.4841178894042946, 1.5111483764648415, 1.5381788635253884, 1.5652093505859352, 1.5922398376464821, 1.619270324707029, 1.646300811767576, 1.6733312988281228, 1.7003617858886697, 1.7273922729492166, 1.7544227600097635, 1.7814532470703104, 1.8084837341308573, 1.8355142211914042, 1.862544708251951, 1.889575195312498, 1.9166056823730448, 1.9436361694335917, 1.9706666564941386, 1.9976971435546855, 2.0382428741455056, 2.0787886047363258, 2.119334335327146, 2.159880065917966, 2.200425796508786, 2.2409715270996062, 2.2815172576904263, 2.3220629882812465, 2.3626087188720666, 2.4031544494628867, 2.443700180053707, 2.484245910644527, 2.524791641235347, 2.565337371826167, 2.6058831024169873, 2.6464288330078074, 2.6869745635986275, 2.7275202941894476, 2.7680660247802678, 2.808611755371088, 2.849157485961908, 2.889703216552728, 2.930248947143548, 2.9707946777343683, 3.0113404083251885, 3.0518861389160086, 3.0924318695068287, 3.132977600097649, 3.173523330688469, 3.214069061279289, 3.254614791870109, 3.2951605224609293, 3.3357062530517494, 3.3762519836425695, 3.4167977142333896, 3.4573434448242097, 3.49788917541503, 3.53843490600585, 3.57898063659667, 3.61952636718749, 3.6600720977783103, 3.7208906936645407, 3.781709289550771, 3.8425278854370015, 3.903346481323232, 3.9641650772094623, 4.024983673095693, 4.085802268981923, 4.1466208648681535, 4.207439460754384, 4.268258056640614, 4.329076652526845, 4.389895248413075, 4.4507138442993055, 4.511532440185536, 4.572351036071766, 4.633169631957997, 4.693988227844227, 4.7548068237304575, 4.815625419616688, 4.876444015502918, 4.967671909332264, 5.0588998031616095, 5.150127696990955, 5.241355590820301, 5.332583484649646, 5.423811378478992, 5.5150392723083375, 5.606267166137683, 5.697495059967029, 5.788722953796374, 5.87995084762572, 5.971178741455065, 6.108020582199084, 6.244862422943103, 6.381704263687122, 6.518546104431141, 6.65538794517516, 6.7922297859191785, 6.929071626663197, 7.134334387779226 ], "xaxis": "x", "y": [ 0, 1.875, 3.6609375, 4.086203100585938, 4.506413417053986, 4.921627870578563, 5.33190518398381, 5.737303389950974, 6.137879839129328, 6.53369120815177, 6.9247935075562195, 7.311242089613917, 7.69309165606572, 8.070396265767478, 8.443209342245556, 8.811583681163563, 9.175571457701325, 9.535224233847135, 9.890592965604306, 10.241728010113023, 10.588679132688503, 10.931495513776424, 11.270225755826631, 11.60491789008604, 11.935619383311721, 12.262377144405074, 12.585237530968046, 12.904246355782293, 13.219448893212197, 13.530889885532625, 13.838613549182329, 14.142663580943843, 14.443083164050766, 14.73991497422325, 15.033201185632574, 15.322983476795605, 15.60930303639999, 15.892200569060888, 16.17171630101005, 16.447889985718025, 16.7207609094503, 16.99036789675814, 17.25674931590491, 17.519943084228586, 17.77998667344129, 18.036917114866505, 18.290771004614765, 18.541584508698502, 18.78939336808678, 19.034232903700644, 19.276138021349727, 19.51514321661087, 19.75128257964939, 19.9845897999837, 20.215098171193898, 20.442840595575067, 20.667849588735855, 20.89015728414301, 21.109795437612526, 21.326795431747982, 21.54118828032674, 21.75300463263458, 21.962274777749396, 22.169028648774553, 22.37329582702249, 22.575105546149135, 22.774486696239773, 22.97146782784685, 23.166077155980354, 23.358342564051274, 23.548291607768736, 23.735951518991328, 23.921349209533158, 24.104511274925187, 24.285463998132357, 24.464233353227026, 24.640845009019245, 24.81532433264435, 24.98769639310842, 25.157985964792022, 25.32621753091284, 25.492415286947544, 25.65660314401349, 25.818804732210662, 25.97904340392432, 26.137342237088866, 26.293724038413337, 26.448211346568975, 26.600826435339354, 26.75159131673348, 26.900527744062316, 27.047657214979107, 27.19300097448404, 27.33658001789353, 27.478415093774654, 27.618526706845056, 27.756935120838822, 27.893660361338622, 28.028722218574607, 28.162140250190387, 28.359830550869578, 28.55390870786946, 28.744438428219066, 28.931482295862864, 29.115101791459367, 29.29535731183075, 29.472308189069555, 29.6460127093086, 29.81652813115998, 29.983910703829018, 30.148215684908877, 30.309497357861495, 30.46780904919034, 30.62320314531042, 30.77573110912092, 30.92544349628566, 31.07238997122656, 31.216619322835164, 31.35817947990717, 31.497117526304898, 31.633479715852424, 31.767311486968165, 31.89865747703949, 32.02756153654393, 32.15406674292145, 32.278215414202165, 32.40004912239382, 32.51960870663326, 32.63693428610605, 32.75206527273837, 32.86504038366513, 32.97589765347829, 33.084674446259285, 33.1914074673993, 33.2961327752112, 33.39888579233672, 33.49970131695261, 33.59861353377916, 33.69565602489471, 33.79086178035953, 33.88426320865233, 33.97589214692288, 34.065779871063846, 34.15395710560505, 34.240454033433366, 34.325300305341194, 34.40852504940668, 34.490156880208495, 34.570223907878265, 34.64875374699331, 34.72577352531269, 34.80130989235925, 34.87538902785029, 34.94803664997972, 35.01927802355414, 35.1240679402012, 35.22580450048185, 35.32456854252967, 35.42043876682677, 35.51349179273015, 35.60380221350325, 35.691442649892345, 35.776483802286194, 35.85899450149641, 35.93904175819507, 36.01669081104495, 36.0920051735572, 36.16504667970976, 36.23587552835966, 36.30455032648077, 36.37112813125833, 36.435664491070256, 36.49821348538485, 36.55882776360346, 36.61755858287601, 36.674455844916565, 36.729568131845404, 36.782942741083275, 36.83462571932295, 36.88466189560249, 36.95731142245461, 37.02644944427066, 37.09221557090486, 37.1547438744482, 37.21416310888267, 37.27059692102297, 37.32416405309122, 37.37497853725665, 37.42314988245885, 37.46878325382077, 37.51197964494532, 37.55283604337787, 37.59144558950572, 37.62789772915483, 37.6622783601339, 37.71086577938162, 37.755156149167064, 37.79540622611957, 37.83185748972529, 37.86473705127457, 37.894258508729514, 37.92062275072937, 37.94401871275987, 37.964624088332634, 37.991596952610806, 38.013020665092135, 38.029394131681855, 38.04117172877335, 38.04876727732274, 38.05255766225416, 38.05305036214574, 38.04645711341405, 38.033738794290514, 38.015727630039194, 37.99314441558984, 37.96661343260069, 37.93667536959462, 37.903798512494376, 37.86838843709625, 37.83079640402559, 37.791326629871136, 37.750242584942555, 37.70777244795579, 37.66411383050716, 37.61943786908854, 37.573892769310056, 37.52760687566249, 37.48069133033481, 37.43324237609933, 37.385343350912834, 37.337066415503024, 37.28847404968539, 37.23962034837007, 37.190552144074026, 37.14130997916401, 37.0919289479466, 37.042439426028785, 36.992867702039966, 36.94323652478614, 36.86873010334279, 36.79417251029523, 36.71961345098013, 36.645092546193645, 36.57064135746877, 36.49628500567028, 36.42204346457037, 36.34793259466982, 36.27396496942411, 36.2001505355602, 36.126497140799074, 36.053010955609366, 35.97969681027085, 35.90655846425398, 35.83359882150647, 35.760820102509015, 35.68822398178106, 35.61581169777424, 35.543584140698314, 35.471541922710585, 35.39968543401048, 35.32801488766945, 35.25653035545822, 35.185231796479144, 35.11411908004842, 35.043192003982796, 34.97245030921359, 34.90189369146551, 34.83152181058962, 34.7613342980216, 34.69133076274166, 34.621510796037, 34.55187397530738, 34.44769281300491, 34.343921759695455, 34.240559302228725, 34.13760390251718, 34.03505400694111, 33.9329080529134, 33.83116447345951, 33.729821700410575, 33.62887816662732, 33.5283323075468, 33.42818256225593, 33.32842737423439, 33.229065191866475, 33.1300944687916, 33.03151366414195, 32.93332124270145, 32.83551567500969, 32.73809543742738, 32.641059012175084, 32.54440488735316, 32.448131556948695, 32.35223752083333, 32.25672128475478, 32.161581360323964, 32.066816264999034, 31.972424522067396, 31.87840466062623, 31.784755215562054, 31.69147472752962, 31.59856174293039, 31.459741349370894, 31.321741335936334, 31.18455685447352, 31.048183085476808, 30.912615237920313, 30.777848549090447, 30.643878284419035, 30.51069973731726, 30.37830822901043, 30.24669910837369, 30.11586775176867, 29.98580956288105, 29.856519972559127, 29.727994438653273, 29.600228445856377, 29.47321750554522, 29.346957155622782, 29.221442960361475, 29.09667051024732, 28.97263542182503, 28.849333337544, 28.72675992560524, 28.60491087980918, 28.483781919404386, 28.363368788937176, 28.243667258102118, 28.065176053339048, 27.88826707978895, 27.71292631179933, 27.539139848047768, 27.366893910439806, 27.196174843016582, 27.026969110872177, 26.85926329908053, 26.693044111631895, 26.52829837037869, 26.365013013990726, 26.203175096919683, 26.042771788372754, 25.8837903712954, 25.726218241363124, 25.57004290598218, 25.41525198329913, 25.26183320121919, 25.109774396433288, 24.959063513453724, 24.809688603658394, 24.66163782434348, 24.441530244505074, 24.224349372597413, 24.010056293016962, 23.798612607609908, 23.589980428791772, 23.384122372758522, 23.18100155278794, 22.98058157263007, 22.782826519985544, 22.58770096007064, 22.39516992926788, 22.205198928861066, 22.01775391885363, 21.83280131186916, 21.65030796713305, 21.47024118453414, 21.292568698765365, 21.117258673542274, 20.944279695898445, 20.77360077055674, 20.60519131437541, 20.439021150868058, 20.27506050479644, 20.113279996835193, 19.873835959043653, 19.6391676502267, 19.40917981811809, 19.183779110265046, 18.962874036136338, 18.74637492998612, 18.53419391445846, 18.326244864917754, 18.122443374490608, 17.922706719804935, 17.726953827412395, 17.535105240880554, 17.34708308854137, 17.16281105188297, 16.9822143345718, 16.805219632092715, 16.63175510199451, 16.46175033472897, 16.295136325071493, 16.131845444111782, 15.971811411803131, 15.814969270059247, 15.661255356387658, 15.51060727804899, 15.362963886731658, 15.218265253731651, 15.076452645627379, 14.937468500439671, 14.801256404267269, 14.667761068388339, 14.53692830681867, 14.4087050143175, 14.283039144832008, 14.159879690371731, 14.039176660304333, 13.920881061064323, 13.804944876266482, 13.691321047215936, 13.579963453806943, 13.470826895802668, 13.363867074488333, 13.206627324791262, 13.054091812682511, 12.90611979861416, 12.76257475362927, 12.623324233391052, 12.48823975598081, 12.35719668335184, 12.23007410632998, 12.106754733054638, 11.987124780757446, 11.871073870778547, 11.758494926723886, 11.649284075669197, 11.543340552319988, 11.440566606038496, 11.340867410652598, 11.244150976962484, 11.150328067865615, 11.059312116020049, 10.971019143972221, 10.842541958023167, 10.719830367687743, 10.60262563369859, 10.490680628084286, 10.383759313078851, 10.281636243474766, 10.184096091165577, 10.090933191372997, 10.001951108392555, 9.916962222881523, 9.83578733267357, 9.758255283648136, 9.647176239654135, 9.543574480383842, 9.446946465866878, 9.356823629195162, 9.272764477334546, 9.194375760178556, 9.121213891980563, 9.019168479129675 ], "yaxis": "y" }, { "hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "S", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "S", "showlegend": true, "type": "scattergl", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996, 0.29310791015624993, 0.2984472656249999, 0.3037866210937499, 0.30912597656249985, 0.3144653320312498, 0.3198046874999998, 0.32514404296874977, 0.33048339843749974, 0.3358227539062497, 0.3411621093749997, 0.34650146484374966, 0.35184082031249964, 0.3571801757812496, 0.3625195312499996, 0.36785888671874956, 0.37319824218749953, 0.3785375976562495, 0.3838769531249995, 0.38921630859374945, 0.3945556640624994, 0.3998950195312494, 0.4079040527343744, 0.4159130859374994, 0.42392211914062444, 0.43193115234374946, 0.4399401855468745, 0.4479492187499995, 0.4559582519531245, 0.4639672851562495, 0.47197631835937454, 0.47998535156249955, 0.48799438476562457, 0.4960034179687496, 0.5040124511718745, 0.5120214843749995, 0.5200305175781245, 0.5280395507812494, 0.5360485839843744, 0.5440576171874993, 0.5520666503906243, 0.5600756835937493, 0.5680847167968742, 0.5760937499999992, 0.5841027832031241, 0.5921118164062491, 0.6001208496093741, 0.608129882812499, 0.616138916015624, 0.6241479492187489, 0.6321569824218739, 0.6401660156249989, 0.6521795654296864, 0.6641931152343739, 0.6762066650390613, 0.6882202148437488, 0.7002337646484363, 0.7122473144531238, 0.7242608642578113, 0.7362744140624988, 0.7482879638671863, 0.7603015136718738, 0.7723150634765613, 0.7843286132812488, 0.7963421630859363, 0.8083557128906238, 0.8203692626953113, 0.8323828124999988, 0.8443963623046863, 0.8564099121093738, 0.8684234619140613, 0.8804370117187488, 0.8924505615234363, 0.9044641113281238, 0.9164776611328113, 0.9284912109374988, 0.9405047607421863, 0.9525183105468737, 0.970538635253905, 0.9885589599609363, 1.0065792846679675, 1.0245996093749987, 1.04261993408203, 1.060640258789061, 1.0786605834960923, 1.0966809082031235, 1.1147012329101547, 1.1327215576171858, 1.150741882324217, 1.1687622070312482, 1.1867825317382794, 1.2048028564453106, 1.2228231811523418, 1.240843505859373, 1.2588638305664042, 1.2768841552734354, 1.2949044799804665, 1.3129248046874977, 1.330945129394529, 1.34896545410156, 1.375995941162107, 1.4030264282226539, 1.4300569152832008, 1.4570874023437477, 1.4841178894042946, 1.5111483764648415, 1.5381788635253884, 1.5652093505859352, 1.5922398376464821, 1.619270324707029, 1.646300811767576, 1.6733312988281228, 1.7003617858886697, 1.7273922729492166, 1.7544227600097635, 1.7814532470703104, 1.8084837341308573, 1.8355142211914042, 1.862544708251951, 1.889575195312498, 1.9166056823730448, 1.9436361694335917, 1.9706666564941386, 1.9976971435546855, 2.0382428741455056, 2.0787886047363258, 2.119334335327146, 2.159880065917966, 2.200425796508786, 2.2409715270996062, 2.2815172576904263, 2.3220629882812465, 2.3626087188720666, 2.4031544494628867, 2.443700180053707, 2.484245910644527, 2.524791641235347, 2.565337371826167, 2.6058831024169873, 2.6464288330078074, 2.6869745635986275, 2.7275202941894476, 2.7680660247802678, 2.808611755371088, 2.849157485961908, 2.889703216552728, 2.930248947143548, 2.9707946777343683, 3.0113404083251885, 3.0518861389160086, 3.0924318695068287, 3.132977600097649, 3.173523330688469, 3.214069061279289, 3.254614791870109, 3.2951605224609293, 3.3357062530517494, 3.3762519836425695, 3.4167977142333896, 3.4573434448242097, 3.49788917541503, 3.53843490600585, 3.57898063659667, 3.61952636718749, 3.6600720977783103, 3.7208906936645407, 3.781709289550771, 3.8425278854370015, 3.903346481323232, 3.9641650772094623, 4.024983673095693, 4.085802268981923, 4.1466208648681535, 4.207439460754384, 4.268258056640614, 4.329076652526845, 4.389895248413075, 4.4507138442993055, 4.511532440185536, 4.572351036071766, 4.633169631957997, 4.693988227844227, 4.7548068237304575, 4.815625419616688, 4.876444015502918, 4.967671909332264, 5.0588998031616095, 5.150127696990955, 5.241355590820301, 5.332583484649646, 5.423811378478992, 5.5150392723083375, 5.606267166137683, 5.697495059967029, 5.788722953796374, 5.87995084762572, 5.971178741455065, 6.108020582199084, 6.244862422943103, 6.381704263687122, 6.518546104431141, 6.65538794517516, 6.7922297859191785, 6.929071626663197, 7.134334387779226 ], "xaxis": "x", "y": [ 0, 0.1875, 0.3672421875, 0.4103292927246094, 0.45297597081548313, 0.49518738776526755, 0.5369686488547025, 0.5783247993661397, 0.6192608252886747, 0.6597816540149926, 0.6998921550300232, 0.7395971405915039, 0.7789013664025428, 0.8178095322762787, 0.856326282792729, 0.8944562079479184, 0.9322038437953779, 0.9695736730801061, 1.006570125865078, 1.0431975801503923, 1.0794603624851407, 1.1153627485720876, 1.150908963865243, 1.186103184160411, 1.2209495361788, 1.2554520981437722, 1.2896149003508157, 1.3234419257308183, 1.3569371104067207, 1.3901043442436278, 1.422947471392455, 1.455470290827185, 1.4876765568758112, 1.5195699797450402, 1.5511542260388278, 1.5824329192708222, 1.6134096403707827, 1.6440879281850485, 1.6744712799711245, 1.7045631518864557, 1.734366959471455, 1.7638860781268575, 1.7931238435854613, 1.822083552378327, 1.850768462295496, 1.8791817928412962, 1.9073267256842938, 1.9352064051019608, 1.9628239384201134, 1.9901823964471874, 2.0172848139034096, 2.0441341898449252, 2.0707334880829404, 2.0970856375979388, 2.1231935329490312, 2.1490600346784925, 2.174687969711546, 2.2000801317514482, 2.22523928166993, 2.25016814789305, 2.274869426782515, 2.2993457830125132, 2.323599849942125, 2.3476342299833535, 2.371451494964831, 2.39505418649125, 2.418444816298572, 2.4416258666050576, 2.464599790458178, 2.4873690120774397, 2.5099359271931916, 2.53230290338144, 2.5544722803947346, 2.576446370489165, 2.598227458747511, 2.6198178033986004, 2.6412196361329077, 2.6624351624144484, 2.6834665617890052, 2.704315988188733, 2.7249855702331827, 2.7454774115267884, 2.7657935909528586, 2.78593616296411, 2.8059071578697914, 2.825708582119426, 2.8453424185832272, 2.8648106268292124, 2.884115143397063, 2.9032578820687664, 2.9222407341360745, 2.941065568664822, 2.959734232756135, 2.978248551804574, 2.996610329753238, 3.0148213493458758, 3.0328833723760296, 3.0507981399332538, 3.0685673726464384, 3.0861927709242734, 3.112417637327194, 3.1383263937357926, 3.163924579074454, 3.189217634630803, 3.2142109057769233, 3.2389096436602265, 3.2633190068645206, 3.2874440630417916, 3.311289790515219, 3.334861079853933, 3.3581627354200108, 3.3811994768882006, 3.403975940738855, 3.4264966817245446, 3.448766174310821, 3.4707888140915744, 3.492568919179446, 3.514110731571726, 3.5354184184921738, 3.556496073709183, 3.577347718830708, 3.5979773045763643, 3.618388712027103, 3.6385857538528517, 3.658572175518519, 3.6783516564687355, 3.6979278112917076, 3.717304190862558, 3.736484283466508, 3.755471515902259, 3.7742692545659255, 3.7928808065158552, 3.811309420518683, 3.8295582880769397, 3.8476305444385477, 3.8655292695885195, 3.8832574892231753, 3.900818175707183, 3.9182142490137317, 3.9354485776481254, 3.9525239795551, 3.9694432230101415, 3.9862090274950948, 4.002824064558332, 4.019290958659764, 4.035612288000945, 4.051790585340558, 4.067828338795507, 4.083727992627901, 4.09949194801816, 4.115122563824487, 4.1306221573289585, 4.145993004970459, 4.161237343064697, 4.176357368511522, 4.19885417497891, 4.221080904208024, 4.2430445855564285, 4.26475206254195, 4.286209997756853, 4.3074248776520765, 4.328403017194961, 4.349150564403802, 4.369673504762505, 4.389977665518499, 4.410068719866996, 4.429952191024613, 4.449633456195267, 4.469117750431203, 4.488410170391926, 4.50751567800373, 4.526439104022458, 4.545185151502058, 4.56375839917141, 4.582163304721865, 4.60040420800785, 4.618485334162838, 4.636410796632918, 4.65418460013016, 4.671810643507866, 4.69803376208578, 4.723941275714475, 4.749545326895599, 4.774857576696206, 4.799889223844652, 4.824651023069055, 4.849153302708363, 4.873405981624883, 4.897418585445984, 4.9212002621615705, 4.944759797102883, 4.968105627327176, 4.991245855431829, 5.014188262820515, 5.036940322443186, 5.070793655324475, 5.104250360964285, 5.137332778739954, 5.170061919878847, 5.202457546478753, 5.234538245826789, 5.266321500296547, 5.297823753086552, 5.329060470047477, 5.375539061722464, 5.421483712565737, 5.466937855675816, 5.511941052856708, 5.556529340108732, 5.600735542285761, 5.6665165683630985, 5.731566461259307, 5.795968957583348, 5.859796608997625, 5.9231122794880084, 5.985970442196456, 6.048418302648519, 6.110496771616005, 6.172241307743934, 6.233682647376258, 6.294847436680899, 6.355758779153149, 6.416436709825621, 6.476898605996451, 6.537159542973938, 6.597232602198237, 6.657129138115283, 6.716859009324753, 6.776430778784639, 6.835851887214792, 6.895128803287238, 6.954267153710803, 7.01327183590156, 7.0721471155703135, 7.130896711246255, 7.189523867485624, 7.248031418280107, 7.306421841976903, 7.3646973088468, 7.4519409290032685, 7.538933941394881, 7.625681313752006, 7.712187135395744, 7.798454793312201, 7.884487112871353, 7.970286470289965, 8.055854882512447, 8.141194079044189, 8.226305559361357, 8.311190638793455, 8.395850485193332, 8.480286148244558, 8.564498582884594, 8.648488668025333, 8.732257221515285, 8.815805012098124, 8.899132768970714, 8.982241189422648, 9.065130944942544, 9.147802686098961, 9.230257046442008, 9.312494645622275, 9.39451609188427, 9.476321984059934, 9.557912913162648, 9.639289463661916, 9.720452214502885, 9.801401739921902, 9.882138610099082, 9.962663391680604, 10.0429766481969, 10.123078940397633, 10.24291676958145, 10.362282435955265, 10.481177808649084, 10.599604746742758, 10.71756510011468, 10.835060710043434, 10.95209340963677, 11.068665024139886, 11.184777371159337, 11.300432260827948, 11.415631495928473, 11.53037687198838, 11.64467017735445, 11.758513193253208, 11.871907693841438, 11.984855446249743, 12.097358210621188, 12.209417740146502, 12.321035781096823, 12.432214072854697, 12.542954347943843, 12.653258332057995, 12.763127744089093, 12.872564296154973, 12.981569693626673, 13.090145635155459, 13.198293812699594, 13.306015911550931, 13.413313610361314, 13.520188581168851, 13.679869443551631, 13.838606647691629, 13.9964057702808, 14.153272355054504, 14.309211912986395, 14.464229922482108, 14.618331829571762, 14.771523048101308, 14.923808959922743, 15.075194915083184, 15.225686232012832, 15.375288197711814, 15.52400606793593, 15.671845067381296, 15.81881038986789, 15.964907198522027, 16.110140625957744, 16.25451577445712, 16.39803771614952, 16.5407114931898, 16.68254211793543, 16.8235345731226, 16.963693812041264, 17.10302475870916, 17.241532308044796, 17.379221326039417, 17.584534311872225, 17.78802730542561, 17.989716439979624, 18.18961770580121, 18.387746951411966, 18.58411988484463, 18.778752074888434, 18.97165895232345, 19.16285581114393, 19.352357809770886, 19.540179972253835, 19.726337189461955, 19.910844220264657, 20.09371569270169, 20.274966105142873, 20.45460982743756, 20.63266110205391, 20.809134045208037, 20.984042647983184, 21.157400777438955, 21.329222177710722, 21.499520471099284, 21.752703503176647, 22.00252003243546, 22.24901482230688, 22.492232041015445, 22.732215269493366, 22.969007509189584, 23.202651189774997, 23.433188176745226, 23.660659778922295, 23.885106755856565, 24.106569325130238, 24.32508716956376, 24.540699444326382, 24.75344478395221, 24.963361309262925, 25.17048663419848, 25.374857872556948, 25.576511644644793, 25.775484083838663, 25.971810843059966, 26.165527101163352, 26.356667569240237, 26.54526649683852, 26.73135767809959, 27.006782847670838, 27.27671464194327, 27.54126262669194, 27.800534182394447, 28.054634547816857, 28.30366686273029, 28.547732209775525, 28.78692965549264, 29.021356290532253, 29.251107269064818, 29.476275847403844, 29.696953421858794, 29.913229565833007, 30.12519206618169, 30.332926958844762, 30.536518563768976, 30.736049519133537, 30.931600814893077, 31.123251825651618, 31.311080342880853, 31.495162606495846, 31.67557333580093, 31.852385759818418, 32.02567164701237, 32.19550133441955, 32.36194375619934, 32.52506647161422, 32.68493569245222, 32.841616309902385, 32.99517192089419, 33.14566485391168, 33.293156194292706, 33.43770580902353, 33.57937237103897, 33.718213383037856, 33.854285200823426, 33.987643056178285, 34.11834107928307, 34.24643232068796, 34.37196877284602, 34.49500139121699, 34.67586947681684, 34.851326421477815, 35.021534113606926, 35.1866495982969, 35.346825222226556, 35.502208774226084, 35.65294362163704, 35.799168842592685, 35.94101935434086, 36.07862603772774, 36.2121158579573, 36.341611981738026, 36.46723389092476, 36.58909749276077, 36.70731522682156, 36.82199616875919, 36.93324613094287, 37.041167760088555, 37.145860631967714, 37.2474213432827, 37.39520472954862, 37.53635612712907, 37.671173155905535, 37.7999400796464, 37.92292840537991, 38.04039745587463, 38.15259491641648, 38.25975735707869, 38.362110731480634, 38.45987085334279, 38.553243851221424, 38.642426603891856, 38.770197428495464, 38.88936741166412, 39.000515497600844, 39.10418175276765, 39.20086950086595, 39.291049794955995, 39.37515530202304, 39.492848225170285 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "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": "Coupled reactions A <-> B and A <-> S (slow but with energetic advantage)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 7.134334387779226 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=[\"blue\", \"green\", \"red\"],\n", " title=\"Coupled reactions A <-> B and A <-> S (slow but with energetic advantage)\")" ] }, { "cell_type": "markdown", "id": "05dbe681-2fa9-478c-b4eb-8c322e173c0c", "metadata": {}, "source": [ "### Notice how the \"alternate (shunt) path\" of the reaction, i.e. S (red) \n", "### has a SLOW START (slow kinetics),\n", "### but EVENTUALLY DOMINATES (energy advantage)" ] }, { "cell_type": "code", "execution_count": 24, "id": "f0d7d7ed-158c-4cf4-8d95-ef057ca612d6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0025, in 2 steps of 0.00125\n", "From time 0.0025 to 0.03281, in 97 steps of 0.000313\n", "From time 0.03281 to 0.05859, in 55 steps of 0.000469\n", "From time 0.05859 to 0.07617, in 25 steps of 0.000703\n", "From time 0.07617 to 0.09199, in 15 steps of 0.00105\n", "From time 0.09199 to 0.1062, in 9 steps of 0.00158\n", "From time 0.1062 to 0.1205, in 6 steps of 0.00237\n", "From time 0.1205 to 0.2237, in 29 steps of 0.00356\n", "From time 0.2237 to 0.3999, in 33 steps of 0.00534\n", "From time 0.3999 to 0.6402, in 30 steps of 0.00801\n", "From time 0.6402 to 0.9525, in 26 steps of 0.012\n", "From time 0.9525 to 1.349, in 22 steps of 0.018\n", "From time 1.349 to 1.998, in 24 steps of 0.027\n", "From time 1.998 to 3.66, in 41 steps of 0.0405\n", "From time 3.66 to 4.876, in 20 steps of 0.0608\n", "From time 4.876 to 5.971, in 12 steps of 0.0912\n", "From time 5.971 to 6.929, in 7 steps of 0.137\n", "From time 6.929 to 7.134, in 1 step of 0.205\n", "(454 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "code", "execution_count": 25, "id": "8fe4bbce-f10b-4590-9cbd-97998745fc27", "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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
SYSTEM TIMEABScaption
00.00000050.0000000.0000000.000000Initial state
10.00125047.9375001.8750000.1875001st reaction step
20.00250045.9718203.6609380.367242
30.00281245.5034684.0862030.410329
40.00312545.0406114.5064130.452976
..................
4506.5185461.5389959.35682439.104182
4516.6553881.5263669.27276439.200870
4526.7922301.5145749.19437639.291050
4536.9290721.5036319.12121439.375155
4547.1343341.4879839.01916839.492848last reaction step
\n", "

455 rows × 5 columns

\n", "
" ], "text/plain": [ " SYSTEM TIME A B S caption\n", "0 0.000000 50.000000 0.000000 0.000000 Initial state\n", "1 0.001250 47.937500 1.875000 0.187500 1st reaction step\n", "2 0.002500 45.971820 3.660938 0.367242 \n", "3 0.002812 45.503468 4.086203 0.410329 \n", "4 0.003125 45.040611 4.506413 0.452976 \n", ".. ... ... ... ... ...\n", "450 6.518546 1.538995 9.356824 39.104182 \n", "451 6.655388 1.526366 9.272764 39.200870 \n", "452 6.792230 1.514574 9.194376 39.291050 \n", "453 6.929072 1.503631 9.121214 39.375155 \n", "454 7.134334 1.487983 9.019168 39.492848 last reaction step\n", "\n", "[455 rows x 5 columns]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "4f451620-86fd-4e3c-a060-6b506f78c13d", "metadata": {}, "source": [ "### Check the final equilibrium" ] }, { "cell_type": "code", "execution_count": 26, "id": "96424a3f-31da-46bf-81c0-0a85b9bc476d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 1.488 ; [B] = 9.019\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 6.06134\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 6.0\n", "Discrepancy between the two values: 1.022 %\n", "Reaction IS in equilibrium (within 12% tolerance)\n", "\n", "1: A <-> S\n", "Final concentrations: [A] = 1.488 ; [S] = 39.49\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 26.5412\n", " Formula used: [S] / [A]\n", "2. Ratio of forward/reverse reaction rates: 30.0\n", "Discrepancy between the two values: 11.53 %\n", "Reaction IS in equilibrium (within 12% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that all the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(tolerance=12)" ] }, { "cell_type": "markdown", "id": "fbeba7fe-7a4d-4223-aaa1-6b5b9b3cc1b8", "metadata": {}, "source": [ "#### Please note the much-longer timescale from the earlier plots\n", "If we look at early time interval, this is what it looks like:" ] }, { "cell_type": "code", "execution_count": 27, "id": "f8c50006-8c5d-405f-9442-7fd9e5d1274d", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "A", "line": { "color": "blue", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996 ], "xaxis": "x", "y": [ 50, 47.9375, 45.9718203125, 45.503467606689455, 45.040610612130536, 44.583184741656176, 44.13112616716149, 43.68437181068289, 43.242859335582004, 42.80652713783324, 42.37531433741376, 41.94916076979458, 41.52800697753174, 41.11179420195624, 40.70046437496171, 40.29396011088851, 39.89222469850329, 39.495202093072756, 39.10283690853061, 38.71507440973658, 38.33186050482635, 37.953141737651485, 37.57886528030812, 37.20897892575354, 36.843431080509475, 36.48217075745115, 36.125147568681136, 35.77231171848688, 35.42361399638108, 35.079005770223745, 34.73843897942521, 34.40186612822897, 34.06924027907342, 33.7405150460317, 33.41564458832859, 33.094583603933565, 32.77728732322922, 32.46371150275405, 32.15381241901881, 31.847546862395507, 31.544872131078236, 31.24574602511499, 30.95012684050962, 30.657973363393076, 30.369244864263205, 30.08390109229219, 29.801902269700932, 29.52320908619953, 29.247782693493097, 28.97558469985216, 28.706577164746857, 28.440722593544198, 28.17798393226766, 27.918324562418356, 27.661708295857064, 27.408099369746434, 27.157462441552592, 26.909762584105536, 26.66496528071754, 26.42303642035896, 26.183942292890737, 25.9476495843529, 25.71412537230847, 25.483337121242084, 25.25525267801267, 25.029840267359607, 24.807068487461645, 24.58690630554808, 24.36932305356146, 24.15428842387128, 23.941772465038063, 23.731745577627223, 23.524178510072097, 23.319042354585637, 23.11630854312012, 22.915948843374363, 22.71793535484784, 22.52224050494119, 22.328837045102567, 22.137698047019235, 21.948796898853967, 21.762107301525656, 21.577603265033638, 21.395259104825218, 21.21504943820588, 21.036949180791698, 20.860933543003426, 20.686978026601807, 20.51505842126358, 20.345150801197747, 20.177231521801605, 20.011277216356067, 19.84726479275982, 19.68517143030189, 19.524974576472104, 19.366651943809064, 19.210181506785144, 19.055541498728118, 18.902710408778947, 18.751666978885332, 18.52775181180322, 18.30776489839474, 18.091636992706473, 17.87930006950633, 17.670687302763703, 17.46573304450902, 17.26437280406592, 17.066543227649603, 16.872182078324794, 16.681228216317045, 16.493621579671107, 16.3093031652503, 16.1282150100708, 15.95030017296503, 15.775502716568253, 15.60376768962276, 15.435041109593989, 15.269269945593106, 15.106402101600649, 14.946386399985913, 14.789172565316864, 14.63471120845547, 14.482953810933408, 14.333852709603219, 14.18736108156003, 14.043432929329098, 13.902023066314472, 13.763087102504185, 13.626581430427443, 13.492463211359366, 13.36069036176894, 13.23122154000585, 13.104016133222029, 12.979034244523758, 12.856236680350252, 12.735584938074755, 12.617041193824212, 12.500568290513659, 12.386129726091557, 12.273689641992348, 12.163212811792574, 12.054664630066979, 11.94801110144106, 11.843218829836612, 11.740255007906866, 11.639087406657852, 11.539684365252757, 11.442014780995988, 11.346048099493826, 11.251754304988525, 11.159103910862813, 11.068067950311784, 10.97861796717924, 10.890726006955568, 10.80436460793432, 10.677077884819875, 10.553114595310111, 10.43238687191389, 10.314809170631266, 10.200298209512985, 10.088772908844662, 9.980154332912683, 9.874365633309992, 9.771331993741068, 9.670980576286421, 9.573240469088036, 9.478042635418173, 9.385319864094955, 9.29500672120912, 9.20703950312728, 9.12135619073792, 9.037896404907269, 8.956601363113075, 8.877413837225113, 8.80027811240211, 8.725139947075567, 8.65194653399174, 8.58064646228379, 8.51118968054687, 8.443527460889623, 8.34465481545959, 8.249609280014845, 8.158239102199522, 8.070398548855577, 7.985947667272658, 7.904752055907955, 7.8266826442003925, 7.751615481118442, 7.679431532095141, 7.6100164840176365, 7.543260557951775, 7.479058329294929, 7.41730855506243, 7.35791400802463, 7.300781317422895, 7.218340565293883, 7.140593489868632, 7.067260995140461, 6.998080590395847, 6.93280540224666, 6.871203245443679, 6.8130557489740635, 6.7581575341535585, 6.706315441619872, 6.632863985666714, 6.565495622342111, 6.503668012642315, 6.446887218369929, 6.394703382568518, 6.346706795460069, 6.280433069491154, 6.221976425326633, 6.170292248126131, 6.124475760963174, 6.083743304922147, 6.047416125202848, 6.014906327756855, 5.9857047158896135, 5.9593702551598104, 5.935520948598144, 5.913825933447956, 5.893998635904289, 5.875790842218578, 5.858987563496375, 5.843402587937505, 5.828874628491694, 5.815263986222215, 5.8024496603404305, 5.790326845116018, 5.778804761872363, 5.767804781209725, 5.7572587966037965, 5.747107815728363, 5.737300740355653, 5.72779330958973, 5.71854718456777, 5.709529155691101, 5.700710455983126, 5.69206616636706, 5.679328967653936, 5.666893548309878, 5.654705235267859, 5.642720318410605, 5.63090384921902, 5.619227881458357, 5.6076700651396525, 5.5962125228177175, 5.584840951531689, 5.573543905078432, 5.562312220407454, 5.5511385591972875 ], "yaxis": "y" }, { "hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "B", "line": { "color": "green", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "B", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996 ], "xaxis": "x", "y": [ 0, 1.875, 3.6609375, 4.086203100585938, 4.506413417053986, 4.921627870578563, 5.33190518398381, 5.737303389950974, 6.137879839129328, 6.53369120815177, 6.9247935075562195, 7.311242089613917, 7.69309165606572, 8.070396265767478, 8.443209342245556, 8.811583681163563, 9.175571457701325, 9.535224233847135, 9.890592965604306, 10.241728010113023, 10.588679132688503, 10.931495513776424, 11.270225755826631, 11.60491789008604, 11.935619383311721, 12.262377144405074, 12.585237530968046, 12.904246355782293, 13.219448893212197, 13.530889885532625, 13.838613549182329, 14.142663580943843, 14.443083164050766, 14.73991497422325, 15.033201185632574, 15.322983476795605, 15.60930303639999, 15.892200569060888, 16.17171630101005, 16.447889985718025, 16.7207609094503, 16.99036789675814, 17.25674931590491, 17.519943084228586, 17.77998667344129, 18.036917114866505, 18.290771004614765, 18.541584508698502, 18.78939336808678, 19.034232903700644, 19.276138021349727, 19.51514321661087, 19.75128257964939, 19.9845897999837, 20.215098171193898, 20.442840595575067, 20.667849588735855, 20.89015728414301, 21.109795437612526, 21.326795431747982, 21.54118828032674, 21.75300463263458, 21.962274777749396, 22.169028648774553, 22.37329582702249, 22.575105546149135, 22.774486696239773, 22.97146782784685, 23.166077155980354, 23.358342564051274, 23.548291607768736, 23.735951518991328, 23.921349209533158, 24.104511274925187, 24.285463998132357, 24.464233353227026, 24.640845009019245, 24.81532433264435, 24.98769639310842, 25.157985964792022, 25.32621753091284, 25.492415286947544, 25.65660314401349, 25.818804732210662, 25.97904340392432, 26.137342237088866, 26.293724038413337, 26.448211346568975, 26.600826435339354, 26.75159131673348, 26.900527744062316, 27.047657214979107, 27.19300097448404, 27.33658001789353, 27.478415093774654, 27.618526706845056, 27.756935120838822, 27.893660361338622, 28.028722218574607, 28.162140250190387, 28.359830550869578, 28.55390870786946, 28.744438428219066, 28.931482295862864, 29.115101791459367, 29.29535731183075, 29.472308189069555, 29.6460127093086, 29.81652813115998, 29.983910703829018, 30.148215684908877, 30.309497357861495, 30.46780904919034, 30.62320314531042, 30.77573110912092, 30.92544349628566, 31.07238997122656, 31.216619322835164, 31.35817947990717, 31.497117526304898, 31.633479715852424, 31.767311486968165, 31.89865747703949, 32.02756153654393, 32.15406674292145, 32.278215414202165, 32.40004912239382, 32.51960870663326, 32.63693428610605, 32.75206527273837, 32.86504038366513, 32.97589765347829, 33.084674446259285, 33.1914074673993, 33.2961327752112, 33.39888579233672, 33.49970131695261, 33.59861353377916, 33.69565602489471, 33.79086178035953, 33.88426320865233, 33.97589214692288, 34.065779871063846, 34.15395710560505, 34.240454033433366, 34.325300305341194, 34.40852504940668, 34.490156880208495, 34.570223907878265, 34.64875374699331, 34.72577352531269, 34.80130989235925, 34.87538902785029, 34.94803664997972, 35.01927802355414, 35.1240679402012, 35.22580450048185, 35.32456854252967, 35.42043876682677, 35.51349179273015, 35.60380221350325, 35.691442649892345, 35.776483802286194, 35.85899450149641, 35.93904175819507, 36.01669081104495, 36.0920051735572, 36.16504667970976, 36.23587552835966, 36.30455032648077, 36.37112813125833, 36.435664491070256, 36.49821348538485, 36.55882776360346, 36.61755858287601, 36.674455844916565, 36.729568131845404, 36.782942741083275, 36.83462571932295, 36.88466189560249, 36.95731142245461, 37.02644944427066, 37.09221557090486, 37.1547438744482, 37.21416310888267, 37.27059692102297, 37.32416405309122, 37.37497853725665, 37.42314988245885, 37.46878325382077, 37.51197964494532, 37.55283604337787, 37.59144558950572, 37.62789772915483, 37.6622783601339, 37.71086577938162, 37.755156149167064, 37.79540622611957, 37.83185748972529, 37.86473705127457, 37.894258508729514, 37.92062275072937, 37.94401871275987, 37.964624088332634, 37.991596952610806, 38.013020665092135, 38.029394131681855, 38.04117172877335, 38.04876727732274, 38.05255766225416, 38.05305036214574, 38.04645711341405, 38.033738794290514, 38.015727630039194, 37.99314441558984, 37.96661343260069, 37.93667536959462, 37.903798512494376, 37.86838843709625, 37.83079640402559, 37.791326629871136, 37.750242584942555, 37.70777244795579, 37.66411383050716, 37.61943786908854, 37.573892769310056, 37.52760687566249, 37.48069133033481, 37.43324237609933, 37.385343350912834, 37.337066415503024, 37.28847404968539, 37.23962034837007, 37.190552144074026, 37.14130997916401, 37.0919289479466, 37.042439426028785, 36.992867702039966, 36.94323652478614, 36.86873010334279, 36.79417251029523, 36.71961345098013, 36.645092546193645, 36.57064135746877, 36.49628500567028, 36.42204346457037, 36.34793259466982, 36.27396496942411, 36.2001505355602, 36.126497140799074, 36.053010955609366 ], "yaxis": "y" }, { "hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
concentration=%{y}", "legendgroup": "S", "line": { "color": "red", "dash": "solid" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "S", "orientation": "v", "showlegend": true, "type": "scatter", "x": [ 0, 0.00125, 0.0025, 0.0028125, 0.0031249999999999997, 0.0034374999999999996, 0.0037499999999999994, 0.004062499999999999, 0.0043749999999999995, 0.0046875, 0.005, 0.0053125, 0.005625000000000001, 0.005937500000000001, 0.006250000000000001, 0.0065625000000000015, 0.006875000000000002, 0.007187500000000002, 0.007500000000000002, 0.007812500000000002, 0.008125000000000002, 0.008437500000000002, 0.008750000000000003, 0.009062500000000003, 0.009375000000000003, 0.009687500000000003, 0.010000000000000004, 0.010312500000000004, 0.010625000000000004, 0.010937500000000005, 0.011250000000000005, 0.011562500000000005, 0.011875000000000005, 0.012187500000000006, 0.012500000000000006, 0.012812500000000006, 0.013125000000000006, 0.013437500000000007, 0.013750000000000007, 0.014062500000000007, 0.014375000000000008, 0.014687500000000008, 0.015000000000000008, 0.015312500000000008, 0.015625000000000007, 0.015937500000000007, 0.016250000000000007, 0.016562500000000008, 0.016875000000000008, 0.01718750000000001, 0.01750000000000001, 0.01781250000000001, 0.01812500000000001, 0.01843750000000001, 0.01875000000000001, 0.01906250000000001, 0.01937500000000001, 0.01968750000000001, 0.02000000000000001, 0.02031250000000001, 0.02062500000000001, 0.02093750000000001, 0.021250000000000012, 0.021562500000000012, 0.021875000000000012, 0.022187500000000013, 0.022500000000000013, 0.022812500000000013, 0.023125000000000014, 0.023437500000000014, 0.023750000000000014, 0.024062500000000014, 0.024375000000000015, 0.024687500000000015, 0.025000000000000015, 0.025312500000000016, 0.025625000000000016, 0.025937500000000016, 0.026250000000000016, 0.026562500000000017, 0.026875000000000017, 0.027187500000000017, 0.027500000000000017, 0.027812500000000018, 0.028125000000000018, 0.02843750000000002, 0.02875000000000002, 0.02906250000000002, 0.02937500000000002, 0.02968750000000002, 0.03000000000000002, 0.03031250000000002, 0.03062500000000002, 0.03093750000000002, 0.03125000000000002, 0.03156250000000002, 0.03187500000000002, 0.03218750000000002, 0.03250000000000002, 0.03281250000000002, 0.03328125000000002, 0.033750000000000016, 0.03421875000000001, 0.03468750000000001, 0.03515625000000001, 0.035625000000000004, 0.03609375, 0.0365625, 0.037031249999999995, 0.03749999999999999, 0.03796874999999999, 0.038437499999999986, 0.03890624999999998, 0.03937499999999998, 0.039843749999999976, 0.04031249999999997, 0.04078124999999997, 0.04124999999999997, 0.041718749999999964, 0.04218749999999996, 0.04265624999999996, 0.043124999999999955, 0.04359374999999995, 0.04406249999999995, 0.044531249999999946, 0.04499999999999994, 0.04546874999999994, 0.04593749999999994, 0.046406249999999934, 0.04687499999999993, 0.04734374999999993, 0.047812499999999925, 0.04828124999999992, 0.04874999999999992, 0.049218749999999915, 0.04968749999999991, 0.05015624999999991, 0.050624999999999906, 0.0510937499999999, 0.0515624999999999, 0.0520312499999999, 0.052499999999999894, 0.05296874999999989, 0.05343749999999989, 0.053906249999999885, 0.05437499999999988, 0.05484374999999988, 0.055312499999999876, 0.05578124999999987, 0.05624999999999987, 0.056718749999999866, 0.05718749999999986, 0.05765624999999986, 0.05812499999999986, 0.058593749999999854, 0.05929687499999985, 0.05999999999999985, 0.06070312499999985, 0.06140624999999985, 0.06210937499999985, 0.06281249999999985, 0.06351562499999985, 0.06421874999999985, 0.06492187499999985, 0.06562499999999985, 0.06632812499999985, 0.06703124999999985, 0.06773437499999985, 0.06843749999999985, 0.06914062499999984, 0.06984374999999984, 0.07054687499999984, 0.07124999999999984, 0.07195312499999984, 0.07265624999999984, 0.07335937499999984, 0.07406249999999984, 0.07476562499999984, 0.07546874999999983, 0.07617187499999983, 0.07722656249999983, 0.07828124999999983, 0.07933593749999983, 0.08039062499999983, 0.08144531249999983, 0.08249999999999982, 0.08355468749999982, 0.08460937499999982, 0.08566406249999982, 0.08671874999999982, 0.08777343749999982, 0.08882812499999981, 0.08988281249999981, 0.09093749999999981, 0.09199218749999981, 0.09357421874999981, 0.09515624999999982, 0.09673828124999982, 0.09832031249999983, 0.09990234374999983, 0.10148437499999984, 0.10306640624999984, 0.10464843749999984, 0.10623046874999985, 0.10860351562499986, 0.11097656249999986, 0.11334960937499987, 0.11572265624999988, 0.11809570312499988, 0.12046874999999989, 0.12402832031249988, 0.1275878906249999, 0.1311474609374999, 0.13470703124999991, 0.13826660156249992, 0.14182617187499993, 0.14538574218749994, 0.14894531249999995, 0.15250488281249996, 0.15606445312499997, 0.15962402343749998, 0.16318359375, 0.1667431640625, 0.17030273437500001, 0.17386230468750002, 0.17742187500000003, 0.18098144531250004, 0.18454101562500005, 0.18810058593750006, 0.19166015625000007, 0.19521972656250008, 0.1987792968750001, 0.2023388671875001, 0.20589843750000011, 0.20945800781250012, 0.21301757812500013, 0.21657714843750014, 0.22013671875000015, 0.22369628906250016, 0.22903564453125017, 0.23437500000000017, 0.23971435546875017, 0.24505371093750017, 0.25039306640625014, 0.2557324218750001, 0.2610717773437501, 0.26641113281250006, 0.27175048828125004, 0.27708984375, 0.28242919921875, 0.28776855468749996 ], "xaxis": "x", "y": [ 0, 0.1875, 0.3672421875, 0.4103292927246094, 0.45297597081548313, 0.49518738776526755, 0.5369686488547025, 0.5783247993661397, 0.6192608252886747, 0.6597816540149926, 0.6998921550300232, 0.7395971405915039, 0.7789013664025428, 0.8178095322762787, 0.856326282792729, 0.8944562079479184, 0.9322038437953779, 0.9695736730801061, 1.006570125865078, 1.0431975801503923, 1.0794603624851407, 1.1153627485720876, 1.150908963865243, 1.186103184160411, 1.2209495361788, 1.2554520981437722, 1.2896149003508157, 1.3234419257308183, 1.3569371104067207, 1.3901043442436278, 1.422947471392455, 1.455470290827185, 1.4876765568758112, 1.5195699797450402, 1.5511542260388278, 1.5824329192708222, 1.6134096403707827, 1.6440879281850485, 1.6744712799711245, 1.7045631518864557, 1.734366959471455, 1.7638860781268575, 1.7931238435854613, 1.822083552378327, 1.850768462295496, 1.8791817928412962, 1.9073267256842938, 1.9352064051019608, 1.9628239384201134, 1.9901823964471874, 2.0172848139034096, 2.0441341898449252, 2.0707334880829404, 2.0970856375979388, 2.1231935329490312, 2.1490600346784925, 2.174687969711546, 2.2000801317514482, 2.22523928166993, 2.25016814789305, 2.274869426782515, 2.2993457830125132, 2.323599849942125, 2.3476342299833535, 2.371451494964831, 2.39505418649125, 2.418444816298572, 2.4416258666050576, 2.464599790458178, 2.4873690120774397, 2.5099359271931916, 2.53230290338144, 2.5544722803947346, 2.576446370489165, 2.598227458747511, 2.6198178033986004, 2.6412196361329077, 2.6624351624144484, 2.6834665617890052, 2.704315988188733, 2.7249855702331827, 2.7454774115267884, 2.7657935909528586, 2.78593616296411, 2.8059071578697914, 2.825708582119426, 2.8453424185832272, 2.8648106268292124, 2.884115143397063, 2.9032578820687664, 2.9222407341360745, 2.941065568664822, 2.959734232756135, 2.978248551804574, 2.996610329753238, 3.0148213493458758, 3.0328833723760296, 3.0507981399332538, 3.0685673726464384, 3.0861927709242734, 3.112417637327194, 3.1383263937357926, 3.163924579074454, 3.189217634630803, 3.2142109057769233, 3.2389096436602265, 3.2633190068645206, 3.2874440630417916, 3.311289790515219, 3.334861079853933, 3.3581627354200108, 3.3811994768882006, 3.403975940738855, 3.4264966817245446, 3.448766174310821, 3.4707888140915744, 3.492568919179446, 3.514110731571726, 3.5354184184921738, 3.556496073709183, 3.577347718830708, 3.5979773045763643, 3.618388712027103, 3.6385857538528517, 3.658572175518519, 3.6783516564687355, 3.6979278112917076, 3.717304190862558, 3.736484283466508, 3.755471515902259, 3.7742692545659255, 3.7928808065158552, 3.811309420518683, 3.8295582880769397, 3.8476305444385477, 3.8655292695885195, 3.8832574892231753, 3.900818175707183, 3.9182142490137317, 3.9354485776481254, 3.9525239795551, 3.9694432230101415, 3.9862090274950948, 4.002824064558332, 4.019290958659764, 4.035612288000945, 4.051790585340558, 4.067828338795507, 4.083727992627901, 4.09949194801816, 4.115122563824487, 4.1306221573289585, 4.145993004970459, 4.161237343064697, 4.176357368511522, 4.19885417497891, 4.221080904208024, 4.2430445855564285, 4.26475206254195, 4.286209997756853, 4.3074248776520765, 4.328403017194961, 4.349150564403802, 4.369673504762505, 4.389977665518499, 4.410068719866996, 4.429952191024613, 4.449633456195267, 4.469117750431203, 4.488410170391926, 4.50751567800373, 4.526439104022458, 4.545185151502058, 4.56375839917141, 4.582163304721865, 4.60040420800785, 4.618485334162838, 4.636410796632918, 4.65418460013016, 4.671810643507866, 4.69803376208578, 4.723941275714475, 4.749545326895599, 4.774857576696206, 4.799889223844652, 4.824651023069055, 4.849153302708363, 4.873405981624883, 4.897418585445984, 4.9212002621615705, 4.944759797102883, 4.968105627327176, 4.991245855431829, 5.014188262820515, 5.036940322443186, 5.070793655324475, 5.104250360964285, 5.137332778739954, 5.170061919878847, 5.202457546478753, 5.234538245826789, 5.266321500296547, 5.297823753086552, 5.329060470047477, 5.375539061722464, 5.421483712565737, 5.466937855675816, 5.511941052856708, 5.556529340108732, 5.600735542285761, 5.6665165683630985, 5.731566461259307, 5.795968957583348, 5.859796608997625, 5.9231122794880084, 5.985970442196456, 6.048418302648519, 6.110496771616005, 6.172241307743934, 6.233682647376258, 6.294847436680899, 6.355758779153149, 6.416436709825621, 6.476898605996451, 6.537159542973938, 6.597232602198237, 6.657129138115283, 6.716859009324753, 6.776430778784639, 6.835851887214792, 6.895128803287238, 6.954267153710803, 7.01327183590156, 7.0721471155703135, 7.130896711246255, 7.189523867485624, 7.248031418280107, 7.306421841976903, 7.3646973088468, 7.4519409290032685, 7.538933941394881, 7.625681313752006, 7.712187135395744, 7.798454793312201, 7.884487112871353, 7.970286470289965, 8.055854882512447, 8.141194079044189, 8.226305559361357, 8.311190638793455, 8.395850485193332 ], "yaxis": "y" } ], "layout": { "autosize": true, "legend": { "title": { "text": "Chemical" }, "tracegroupgap": 0 }, "template": { "data": { "bar": [ { "error_x": { "color": "#2a3f5f" }, "error_y": { "color": "#2a3f5f" }, "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "bar" } ], "barpolar": [ { "marker": { "line": { "color": "#E5ECF6", "width": 0.5 }, "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "barpolar" } ], "carpet": [ { "aaxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "baxis": { "endlinecolor": "#2a3f5f", "gridcolor": "white", "linecolor": "white", "minorgridcolor": "white", "startlinecolor": "#2a3f5f" }, "type": "carpet" } ], "choropleth": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "choropleth" } ], "contour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "contour" } ], "contourcarpet": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "contourcarpet" } ], "heatmap": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmap" } ], "heatmapgl": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "heatmapgl" } ], "histogram": [ { "marker": { "pattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 } }, "type": "histogram" } ], "histogram2d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2d" } ], "histogram2dcontour": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "histogram2dcontour" } ], "mesh3d": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "type": "mesh3d" } ], "parcoords": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "parcoords" } ], "pie": [ { "automargin": true, "type": "pie" } ], "scatter": [ { "fillpattern": { "fillmode": "overlay", "size": 10, "solidity": 0.2 }, "type": "scatter" } ], "scatter3d": [ { "line": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatter3d" } ], "scattercarpet": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattercarpet" } ], "scattergeo": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergeo" } ], "scattergl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattergl" } ], "scattermapbox": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scattermapbox" } ], "scatterpolar": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolar" } ], "scatterpolargl": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterpolargl" } ], "scatterternary": [ { "marker": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "type": "scatterternary" } ], "surface": [ { "colorbar": { "outlinewidth": 0, "ticks": "" }, "colorscale": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "type": "surface" } ], "table": [ { "cells": { "fill": { "color": "#EBF0F8" }, "line": { "color": "white" } }, "header": { "fill": { "color": "#C8D4E3" }, "line": { "color": "white" } }, "type": "table" } ] }, "layout": { "annotationdefaults": { "arrowcolor": "#2a3f5f", "arrowhead": 0, "arrowwidth": 1 }, "autotypenumbers": "strict", "coloraxis": { "colorbar": { "outlinewidth": 0, "ticks": "" } }, "colorscale": { "diverging": [ [ 0, "#8e0152" ], [ 0.1, "#c51b7d" ], [ 0.2, "#de77ae" ], [ 0.3, "#f1b6da" ], [ 0.4, "#fde0ef" ], [ 0.5, "#f7f7f7" ], [ 0.6, "#e6f5d0" ], [ 0.7, "#b8e186" ], [ 0.8, "#7fbc41" ], [ 0.9, "#4d9221" ], [ 1, "#276419" ] ], "sequential": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ], "sequentialminus": [ [ 0, "#0d0887" ], [ 0.1111111111111111, "#46039f" ], [ 0.2222222222222222, "#7201a8" ], [ 0.3333333333333333, "#9c179e" ], [ 0.4444444444444444, "#bd3786" ], [ 0.5555555555555556, "#d8576b" ], [ 0.6666666666666666, "#ed7953" ], [ 0.7777777777777778, "#fb9f3a" ], [ 0.8888888888888888, "#fdca26" ], [ 1, "#f0f921" ] ] }, "colorway": [ "#636efa", "#EF553B", "#00cc96", "#ab63fa", "#FFA15A", "#19d3f3", "#FF6692", "#B6E880", "#FF97FF", "#FECB52" ], "font": { "color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "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": "Same plot as above, both only showing initial detail" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 0.28776855468749996 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "concentration" }, "type": "linear" } } }, "image/png": "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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = px.line(data_frame=dynamics.get_history().loc[:250], x=\"SYSTEM TIME\", y=[\"A\", \"B\", \"S\"], \n", " title=\"Same plot as above, both only showing initial detail\",\n", " color_discrete_sequence = [\"blue\", \"green\", \"red\"],\n", " labels={\"value\":\"concentration\", \"variable\":\"Chemical\"})\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 28, "id": "5c44014b-9dee-4d8c-a2de-13478ee7bb63", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 71\n" ] }, { "data": { "text/plain": [ "(0.02405919499545674, 23.73396682504195)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Look at where the curves intersect\n", "dynamics.curve_intersection(\"A\", \"B\", t_start=0, t_end=0.1)" ] }, { "cell_type": "code", "execution_count": 29, "id": "ac0382c7-5940-4db7-b1df-80edd29c3336", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 216\n" ] }, { "data": { "text/plain": [ "(0.14412951669101942, 6.026379520544665)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersection(\"A\", \"S\", t_start=0.1, t_end=0.2)" ] }, { "cell_type": "code", "execution_count": null, "id": "d70f2d6b", "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 }