{
"cells": [
{
"cell_type": "markdown",
"id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f",
"metadata": {},
"source": [
"## Macromolecules : Binding Affinity and Fractional Occupancy. Regulation of the rates of reactions catalyzed by the macromolecule\n",
"\n",
"### Reaction `A <-> B` catalyzed when ligand `L` binds to `site 1` of macromolecule `M1`\n",
"\n",
"# IN-PROGRESS\n",
"\n",
"In Part 1 we consider the un-catalyzed reaction `A <-> B` \n",
"In Part 2 we'll see what happens when catalysis is added\n",
"\n",
"LAST REVISED: June 23, 2024 (using v. 1.0 beta36)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "98adb66e-e336-4a4e-9a47-d48e9f0c8c68",
"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": "c1ac7763",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"from life123 import ChemData\n",
"from life123 import UniformCompartment\n",
"\n",
"import plotly.express as px"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8d3de311-5010-4b42-a320-e34607c14a0f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1b3df8ff-f3b2-4d16-a04a-9f3675b79009",
"metadata": {},
"source": [
"# PART 1 - Consider just the un-catalyzed reaction `A <-> B` by itself"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "34e5c78b-c23a-47c1-8db0-0e2f997dcff6",
"metadata": {
"lines_to_next_cell": 2
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A <-> B (kF = 1 / kR = 0.13306 / delta_G = -5,000 / K = 7.5156) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'B', 'A'}\n"
]
}
],
"source": [
"# Initialize the system\n",
"chem1 = ChemData(names=[\"A\", \"B\"])\n",
"\n",
"# Reaction A <-> B , without catalysis (slow forward rate, relative to what we'll see in Part 2)\n",
"chem1.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=1. , delta_G= -5000)\n",
"\n",
"chem1.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d407238e-3961-48ec-9188-39f61e17ead6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"2 species:\n",
" Species 0 (A). Conc: 100.0\n",
" Species 1 (B). Conc: 20.0\n",
"Set of chemicals involved in reactions: {'B', 'A'}\n"
]
}
],
"source": [
"# Set the initial concentrations of all the chemicals\n",
"dynamics1 = UniformCompartment(chem_data=chem1, preset=\"fast\")\n",
"\n",
"dynamics1.set_conc(conc={\"A\": 100., \"B\": 20.},\n",
" snapshot=True)\n",
"\n",
"dynamics1.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "eed45215-960f-4fc5-b8b0-d3353fe2eecd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_compartment_react(): the argument `reaction_duration` is deprecated; use `duration` instead\n",
"63 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 31, 'norm_B': 18, 'norm_C': 18, 'norm_D': 18}\n"
]
}
],
"source": [
"# Take the system to equilibrium\n",
"dynamics1.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",
"#dynamics1.set_thresholds(norm=\"norm_A\", low=0.6, high=1.0, abort=1.44)\n",
"#dynamics1.set_thresholds(norm=\"norm_B\", low=0.04, high=0.6, abort=1.5)\n",
"#dynamics1.set_step_factors(upshift=1.2, downshift=0.7, abort=0.4, error=0.3)\n",
"\n",
"dynamics1.single_compartment_react(initial_step=0.02, reaction_duration=4.0,\n",
" variable_steps=True)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bb527a31-2e90-401e-b310-cfaa5c06b8e0",
"metadata": {},
"outputs": [],
"source": [
"#dynamics1.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "097d3abf-397b-495c-85e9-214cb34698a1",
"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": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.012,
0.030000000000000002,
0.04440000000000001,
0.05880000000000001,
0.07320000000000002,
0.08760000000000001,
0.10200000000000001,
0.1164,
0.138,
0.15528000000000003,
0.17256000000000005,
0.18984000000000006,
0.20712000000000008,
0.2244000000000001,
0.24168000000000012,
0.25896000000000013,
0.27624000000000015,
0.30216000000000015,
0.3228960000000002,
0.34363200000000016,
0.36436800000000014,
0.3851040000000001,
0.4058400000000001,
0.42657600000000007,
0.44731200000000004,
0.47841600000000006,
0.5032992000000001,
0.5281824,
0.5530656,
0.5779488,
0.602832,
0.6401568000000001,
0.67001664,
0.69987648,
0.72973632,
0.75959616,
0.80438592,
0.8402177279999999,
0.8760495359999999,
0.9118813439999999,
0.9477131519999998,
1.0014608639999998,
1.0444590335999997,
1.0874572031999996,
1.1519544575999996,
1.2035522611199996,
1.2551500646399996,
1.3325467699199995,
1.3944641341439996,
1.4563814983679997,
1.5492575447039998,
1.6235583817727999,
1.735009637376,
1.8241706418585601,
1.9579121485824003,
2.064905353961472,
2.2253951620300803,
2.3858849700986884,
2.626619682201601,
2.867354394304513,
3.2284564624588814,
3.7701095646904337,
4.5825892180377625
],
"xaxis": "x",
"y": [
100,
98.83193369257827,
97.10365697525718,
95.7492342015726,
94.41691021905763,
93.10632446335921,
91.81712225310005,
90.54895469389184,
89.30147858391463,
87.46079518959785,
86.02428763006888,
84.61590577650563,
83.23509894935835,
81.88132725095659,
80.55406135440835,
79.25278229663238,
77.97698127544282,
76.72615945060676,
74.88666189789184,
73.45828298139658,
72.06346392901465,
70.70141624935464,
69.37136997668642,
68.0725732356794,
66.80429181636724,
65.56580875909897,
63.75173154431279,
62.351616020121284,
60.990975472373805,
59.668696940219384,
58.38369884172016,
57.13493008915164,
55.3145887992935,
53.91990319641181,
52.57240385526579,
51.270494327672445,
50.01263217792416,
48.189674644122796,
46.805319750038336,
45.47716894860303,
44.20294038272662,
42.9804448375364,
41.22115054995857,
39.89942684560365,
38.6420966997389,
36.84798599737561,
35.5175869872754,
34.264967433976835,
32.49588642888681,
31.204733105869167,
30.00416181427175,
28.3296456272563,
27.131005318301128,
25.484409909618357,
24.333480068652477,
22.78149348329083,
21.72805062673241,
20.339448719393197,
19.203355888472007,
17.80910432474228,
16.795157410737236,
15.689092654026332,
14.708813859090903,
14.140826406487841
],
"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,
0.012,
0.030000000000000002,
0.04440000000000001,
0.05880000000000001,
0.07320000000000002,
0.08760000000000001,
0.10200000000000001,
0.1164,
0.138,
0.15528000000000003,
0.17256000000000005,
0.18984000000000006,
0.20712000000000008,
0.2244000000000001,
0.24168000000000012,
0.25896000000000013,
0.27624000000000015,
0.30216000000000015,
0.3228960000000002,
0.34363200000000016,
0.36436800000000014,
0.3851040000000001,
0.4058400000000001,
0.42657600000000007,
0.44731200000000004,
0.47841600000000006,
0.5032992000000001,
0.5281824,
0.5530656,
0.5779488,
0.602832,
0.6401568000000001,
0.67001664,
0.69987648,
0.72973632,
0.75959616,
0.80438592,
0.8402177279999999,
0.8760495359999999,
0.9118813439999999,
0.9477131519999998,
1.0014608639999998,
1.0444590335999997,
1.0874572031999996,
1.1519544575999996,
1.2035522611199996,
1.2551500646399996,
1.3325467699199995,
1.3944641341439996,
1.4563814983679997,
1.5492575447039998,
1.6235583817727999,
1.735009637376,
1.8241706418585601,
1.9579121485824003,
2.064905353961472,
2.2253951620300803,
2.3858849700986884,
2.626619682201601,
2.867354394304513,
3.2284564624588814,
3.7701095646904337,
4.5825892180377625
],
"xaxis": "x",
"y": [
20,
21.168066307421732,
22.89634302474282,
24.2507657984274,
25.58308978094237,
26.89367553664079,
28.182877746899955,
29.45104530610817,
30.698521416085377,
32.539204810402154,
33.975712369931124,
35.38409422349438,
36.76490105064166,
38.11867274904341,
39.44593864559165,
40.747217703367625,
42.023018724557176,
43.27384054939325,
45.11333810210816,
46.54171701860342,
47.936536070985355,
49.298583750645356,
50.62863002331357,
51.9274267643206,
53.19570818363275,
54.43419124090103,
56.24826845568721,
57.648383979878716,
59.009024527626195,
60.331303059780616,
61.61630115827984,
62.86506991084836,
64.6854112007065,
66.08009680358819,
67.42759614473421,
68.72950567232755,
69.98736782207584,
71.81032535587721,
73.19468024996166,
74.52283105139696,
75.79705961727338,
77.01955516246359,
78.77884945004142,
80.10057315439634,
81.3579033002611,
83.15201400262438,
84.48241301272459,
85.73503256602316,
87.50411357111318,
88.79526689413082,
89.99583818572823,
91.67035437274367,
92.86899468169885,
94.51559009038162,
95.6665199313475,
97.21850651670914,
98.27194937326756,
99.66055128060677,
100.79664411152795,
102.19089567525768,
103.20484258926273,
104.31090734597363,
105.29118614090906,
105.85917359351212
],
"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": 0.012,
"x1": 0.012,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.030000000000000002,
"x1": 0.030000000000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.04440000000000001,
"x1": 0.04440000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.05880000000000001,
"x1": 0.05880000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.07320000000000002,
"x1": 0.07320000000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.08760000000000001,
"x1": 0.08760000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.10200000000000001,
"x1": 0.10200000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1164,
"x1": 0.1164,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.138,
"x1": 0.138,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.15528000000000003,
"x1": 0.15528000000000003,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.17256000000000005,
"x1": 0.17256000000000005,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.18984000000000006,
"x1": 0.18984000000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.20712000000000008,
"x1": 0.20712000000000008,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2244000000000001,
"x1": 0.2244000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.24168000000000012,
"x1": 0.24168000000000012,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.25896000000000013,
"x1": 0.25896000000000013,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.27624000000000015,
"x1": 0.27624000000000015,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.30216000000000015,
"x1": 0.30216000000000015,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3228960000000002,
"x1": 0.3228960000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.34363200000000016,
"x1": 0.34363200000000016,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.36436800000000014,
"x1": 0.36436800000000014,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3851040000000001,
"x1": 0.3851040000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4058400000000001,
"x1": 0.4058400000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.42657600000000007,
"x1": 0.42657600000000007,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.44731200000000004,
"x1": 0.44731200000000004,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.47841600000000006,
"x1": 0.47841600000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5032992000000001,
"x1": 0.5032992000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5281824,
"x1": 0.5281824,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5530656,
"x1": 0.5530656,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5779488,
"x1": 0.5779488,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.602832,
"x1": 0.602832,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6401568000000001,
"x1": 0.6401568000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.67001664,
"x1": 0.67001664,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.69987648,
"x1": 0.69987648,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.72973632,
"x1": 0.72973632,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.75959616,
"x1": 0.75959616,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.80438592,
"x1": 0.80438592,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.8402177279999999,
"x1": 0.8402177279999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.8760495359999999,
"x1": 0.8760495359999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.9118813439999999,
"x1": 0.9118813439999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.9477131519999998,
"x1": 0.9477131519999998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0014608639999998,
"x1": 1.0014608639999998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0444590335999997,
"x1": 1.0444590335999997,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0874572031999996,
"x1": 1.0874572031999996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.1519544575999996,
"x1": 1.1519544575999996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.2035522611199996,
"x1": 1.2035522611199996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.2551500646399996,
"x1": 1.2551500646399996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.3325467699199995,
"x1": 1.3325467699199995,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.3944641341439996,
"x1": 1.3944641341439996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.4563814983679997,
"x1": 1.4563814983679997,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.5492575447039998,
"x1": 1.5492575447039998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.6235583817727999,
"x1": 1.6235583817727999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.735009637376,
"x1": 1.735009637376,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.8241706418585601,
"x1": 1.8241706418585601,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.9579121485824003,
"x1": 1.9579121485824003,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.064905353961472,
"x1": 2.064905353961472,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.2253951620300803,
"x1": 2.2253951620300803,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.3858849700986884,
"x1": 2.3858849700986884,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.626619682201601,
"x1": 2.626619682201601,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.867354394304513,
"x1": 2.867354394304513,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 3.2284564624588814,
"x1": 3.2284564624588814,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 3.7701095646904337,
"x1": 3.7701095646904337,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 4.5825892180377625,
"x1": 4.5825892180377625,
"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": "WITHOUT catalysis
Reaction `A <-> B` . Changes in concentrations with time (time steps shown in dashed lines)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.003010899617633221,
4.585600117655396
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
9.045362673875381,
110.95463732612458
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics1.plot_history(colors=['darkturquoise', 'green'], show_intervals=True, title_prefix=\"WITHOUT catalysis\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "0977ca98-2038-4122-8109-008b3a908193",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 14.14 ; [B] = 105.9\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 7.48607\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 7.51557\n",
"Discrepancy between the two values: 0.3926 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reaction has reached equilibrium\n",
"dynamics1.is_in_equilibrium()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9dcb87c0-35f2-4f75-9b25-457383753281",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "d4d1109a-4fd7-408a-89a4-286f7cffed7d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "24961bae-dc76-454b-b3eb-8fca0433eec3",
"metadata": {},
"source": [
"# PART 2"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "23c15e66-52e4-495b-aa3d-ecddd8d16942",
"metadata": {
"lines_to_next_cell": 2
},
"outputs": [],
"source": [
"# Initialize the system\n",
"chem2 = ChemData(names=[\"A\", \"B\", \"L\"])\n",
"\n",
"chem2.add_macromolecules(\"M1\")\n",
"\n",
"chem2.set_binding_site_affinity(\"M1\", site_number=1, ligand=\"L\", Kd=5.0)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "42f86e37-e634-4746-86bd-07036f47301f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"M1 :\n",
" Site 1 - Kd (dissociation const) for L : 5.0\n"
]
}
],
"source": [
"chem2.show_binding_affinities() # Review the values we have given for the dissociation constants"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a9190b2f-aacb-478e-956d-450245338399",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "83fd43d2-6a90-4b24-ae2c-5a65718e416d",
"metadata": {},
"source": [
"## Define 2 reactions, one with and one without catalysis"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "9211536e-74c5-43e5-8c3e-ab619e3c7a0d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A <-> B (kF = 1 / kR = 0.13306 / delta_G = -5,000 / K = 7.5156) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'B', 'A'}\n"
]
}
],
"source": [
"# Reaction A <-> B , without catalysis (same as he had in part 1)\n",
"chem2.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=1. , delta_G= -5000)\n",
"\n",
"# Reaction A <-> B , WITH catalysis (fast forward rate)\n",
"#rxn = chem2.add_reaction(reactants=\"A\", products=\"B\",\n",
"# forward_rate=10. , delta_G= -5000)\n",
"\n",
"#rxn.set_macro_enzyme(macromolecule=\"M1\", site_number=1)\n",
"\n",
"chem2.describe_reactions()"
]
},
{
"cell_type": "markdown",
"id": "e1edaccb-4940-4040-abd9-ccfce973b671",
"metadata": {},
"source": [
"#### Notice the thermodynamics is (as it should be!) the same - and hence the same equilibrium constants - but the kinetics are very different"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "25baaff8-1a2c-488f-bd6a-c351ec75bd5a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "562261e1-3a62-40f5-ac79-5199b3b60565",
"metadata": {},
"source": [
"### Start with no macromolecule ligand `L` present; hence, only the slow reaction is in effect"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "74b8a860-ddaa-4346-a695-5d4b2b334833",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 100.0\n",
" Species 1 (B). Conc: 20.0\n",
" Species 2 (L). Conc: 0.0\n",
"Macro-molecules, with their counts: {'M1': 1}\n",
"Fractional Occupancy at the various binding sites for each macro-molecule:\n",
" M1 || 1: 0.0 (L)\n",
"Set of chemicals involved in reactions: {'B', 'A'}\n"
]
}
],
"source": [
"# Set the initial concentrations of all the chemicals, including the macromolecule\n",
"\n",
"dynamics2 = UniformCompartment(chem_data=chem2, preset=\"fast\")\n",
"dynamics2.set_conc(conc={\"A\": 100., \"B\": 20.},\n",
" snapshot=True) # The macromolecule ligand L is absent\n",
"\n",
"dynamics2.set_macromolecules() # By default, set counts to 1 for all the registered macromolecules\n",
"\n",
"dynamics2.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5666eccd-a621-4749-beaf-999f1ef9bc9c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "d2aea53b-2a64-425e-8084-9e4e0e67cc8b",
"metadata": {
"tags": []
},
"source": [
"### Take the initial system to equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "3fdc370b-1f0e-4d3b-9ab4-7c2c16e33ffc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single_compartment_react(): the argument `reaction_duration` is deprecated; use `duration` instead\n",
"63 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 31, 'norm_B': 18, 'norm_C': 18, 'norm_D': 18}\n"
]
}
],
"source": [
"dynamics2.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",
"#dynamics2.set_thresholds(norm=\"norm_A\", low=0.6, high=1.0, abort=1.44)\n",
"#dynamics2.set_thresholds(norm=\"norm_B\", low=0.04, high=0.6, abort=1.5)\n",
"#dynamics2.set_step_factors(upshift=1.2, downshift=0.7, abort=0.4, error=0.3)\n",
"\n",
"dynamics2.single_compartment_react(initial_step=0.02, reaction_duration=4.0,\n",
" variable_steps=True)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "ef1a4e35-b7d8-41ed-99a1-eb9bacfdd5bf",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"From time 0 to 0.012, in 1 step of 0.012\n",
"From time 0.012 to 0.03, in 1 step of 0.018\n",
"From time 0.03 to 0.1164, in 6 steps of 0.0144\n",
"From time 0.1164 to 0.138, in 1 step of 0.0216\n",
"From time 0.138 to 0.2762, in 8 steps of 0.0173\n",
"From time 0.2762 to 0.3022, in 1 step of 0.0259\n",
"From time 0.3022 to 0.4473, in 7 steps of 0.0207\n",
"From time 0.4473 to 0.4784, in 1 step of 0.0311\n",
"From time 0.4784 to 0.6028, in 5 steps of 0.0249\n",
"From time 0.6028 to 0.6402, in 1 step of 0.0373\n",
"From time 0.6402 to 0.7596, in 4 steps of 0.0299\n",
"From time 0.7596 to 0.8044, in 1 step of 0.0448\n",
"From time 0.8044 to 0.9477, in 4 steps of 0.0358\n",
"From time 0.9477 to 1.001, in 1 step of 0.0537\n",
"From time 1.001 to 1.087, in 2 steps of 0.043\n",
"From time 1.087 to 1.152, in 1 step of 0.0645\n",
"From time 1.152 to 1.255, in 2 steps of 0.0516\n",
"From time 1.255 to 1.333, in 1 step of 0.0774\n",
"From time 1.333 to 1.456, in 2 steps of 0.0619\n",
"From time 1.456 to 1.549, in 1 step of 0.0929\n",
"From time 1.549 to 1.624, in 1 step of 0.0743\n",
"From time 1.624 to 1.735, in 1 step of 0.111\n",
"From time 1.735 to 1.824, in 1 step of 0.0892\n",
"From time 1.824 to 1.958, in 1 step of 0.134\n",
"From time 1.958 to 2.065, in 1 step of 0.107\n",
"From time 2.065 to 2.386, in 2 steps of 0.16\n",
"From time 2.386 to 2.867, in 2 steps of 0.241\n",
"From time 2.867 to 3.228, in 1 step of 0.361\n",
"From time 3.228 to 3.77, in 1 step of 0.542\n",
"From time 3.77 to 4.583, in 1 step of 0.812\n",
"(63 steps total)\n"
]
}
],
"source": [
"dynamics2.explain_time_advance()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "507a0f60-50da-4fc6-9141-31b60b204a97",
"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": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.012,
0.030000000000000002,
0.04440000000000001,
0.05880000000000001,
0.07320000000000002,
0.08760000000000001,
0.10200000000000001,
0.1164,
0.138,
0.15528000000000003,
0.17256000000000005,
0.18984000000000006,
0.20712000000000008,
0.2244000000000001,
0.24168000000000012,
0.25896000000000013,
0.27624000000000015,
0.30216000000000015,
0.3228960000000002,
0.34363200000000016,
0.36436800000000014,
0.3851040000000001,
0.4058400000000001,
0.42657600000000007,
0.44731200000000004,
0.47841600000000006,
0.5032992000000001,
0.5281824,
0.5530656,
0.5779488,
0.602832,
0.6401568000000001,
0.67001664,
0.69987648,
0.72973632,
0.75959616,
0.80438592,
0.8402177279999999,
0.8760495359999999,
0.9118813439999999,
0.9477131519999998,
1.0014608639999998,
1.0444590335999997,
1.0874572031999996,
1.1519544575999996,
1.2035522611199996,
1.2551500646399996,
1.3325467699199995,
1.3944641341439996,
1.4563814983679997,
1.5492575447039998,
1.6235583817727999,
1.735009637376,
1.8241706418585601,
1.9579121485824003,
2.064905353961472,
2.2253951620300803,
2.3858849700986884,
2.626619682201601,
2.867354394304513,
3.2284564624588814,
3.7701095646904337,
4.5825892180377625
],
"xaxis": "x",
"y": [
100,
98.83193369257827,
97.10365697525718,
95.7492342015726,
94.41691021905763,
93.10632446335921,
91.81712225310005,
90.54895469389184,
89.30147858391463,
87.46079518959785,
86.02428763006888,
84.61590577650563,
83.23509894935835,
81.88132725095659,
80.55406135440835,
79.25278229663238,
77.97698127544282,
76.72615945060676,
74.88666189789184,
73.45828298139658,
72.06346392901465,
70.70141624935464,
69.37136997668642,
68.0725732356794,
66.80429181636724,
65.56580875909897,
63.75173154431279,
62.351616020121284,
60.990975472373805,
59.668696940219384,
58.38369884172016,
57.13493008915164,
55.3145887992935,
53.91990319641181,
52.57240385526579,
51.270494327672445,
50.01263217792416,
48.189674644122796,
46.805319750038336,
45.47716894860303,
44.20294038272662,
42.9804448375364,
41.22115054995857,
39.89942684560365,
38.6420966997389,
36.84798599737561,
35.5175869872754,
34.264967433976835,
32.49588642888681,
31.204733105869167,
30.00416181427175,
28.3296456272563,
27.131005318301128,
25.484409909618357,
24.333480068652477,
22.78149348329083,
21.72805062673241,
20.339448719393197,
19.203355888472007,
17.80910432474228,
16.795157410737236,
15.689092654026332,
14.708813859090903,
14.140826406487841
],
"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,
0.012,
0.030000000000000002,
0.04440000000000001,
0.05880000000000001,
0.07320000000000002,
0.08760000000000001,
0.10200000000000001,
0.1164,
0.138,
0.15528000000000003,
0.17256000000000005,
0.18984000000000006,
0.20712000000000008,
0.2244000000000001,
0.24168000000000012,
0.25896000000000013,
0.27624000000000015,
0.30216000000000015,
0.3228960000000002,
0.34363200000000016,
0.36436800000000014,
0.3851040000000001,
0.4058400000000001,
0.42657600000000007,
0.44731200000000004,
0.47841600000000006,
0.5032992000000001,
0.5281824,
0.5530656,
0.5779488,
0.602832,
0.6401568000000001,
0.67001664,
0.69987648,
0.72973632,
0.75959616,
0.80438592,
0.8402177279999999,
0.8760495359999999,
0.9118813439999999,
0.9477131519999998,
1.0014608639999998,
1.0444590335999997,
1.0874572031999996,
1.1519544575999996,
1.2035522611199996,
1.2551500646399996,
1.3325467699199995,
1.3944641341439996,
1.4563814983679997,
1.5492575447039998,
1.6235583817727999,
1.735009637376,
1.8241706418585601,
1.9579121485824003,
2.064905353961472,
2.2253951620300803,
2.3858849700986884,
2.626619682201601,
2.867354394304513,
3.2284564624588814,
3.7701095646904337,
4.5825892180377625
],
"xaxis": "x",
"y": [
20,
21.168066307421732,
22.89634302474282,
24.2507657984274,
25.58308978094237,
26.89367553664079,
28.182877746899955,
29.45104530610817,
30.698521416085377,
32.539204810402154,
33.975712369931124,
35.38409422349438,
36.76490105064166,
38.11867274904341,
39.44593864559165,
40.747217703367625,
42.023018724557176,
43.27384054939325,
45.11333810210816,
46.54171701860342,
47.936536070985355,
49.298583750645356,
50.62863002331357,
51.9274267643206,
53.19570818363275,
54.43419124090103,
56.24826845568721,
57.648383979878716,
59.009024527626195,
60.331303059780616,
61.61630115827984,
62.86506991084836,
64.6854112007065,
66.08009680358819,
67.42759614473421,
68.72950567232755,
69.98736782207584,
71.81032535587721,
73.19468024996166,
74.52283105139696,
75.79705961727338,
77.01955516246359,
78.77884945004142,
80.10057315439634,
81.3579033002611,
83.15201400262438,
84.48241301272459,
85.73503256602316,
87.50411357111318,
88.79526689413082,
89.99583818572823,
91.67035437274367,
92.86899468169885,
94.51559009038162,
95.6665199313475,
97.21850651670914,
98.27194937326756,
99.66055128060677,
100.79664411152795,
102.19089567525768,
103.20484258926273,
104.31090734597363,
105.29118614090906,
105.85917359351212
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=L
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "L",
"line": {
"color": "darkblue",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "L",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.012,
0.030000000000000002,
0.04440000000000001,
0.05880000000000001,
0.07320000000000002,
0.08760000000000001,
0.10200000000000001,
0.1164,
0.138,
0.15528000000000003,
0.17256000000000005,
0.18984000000000006,
0.20712000000000008,
0.2244000000000001,
0.24168000000000012,
0.25896000000000013,
0.27624000000000015,
0.30216000000000015,
0.3228960000000002,
0.34363200000000016,
0.36436800000000014,
0.3851040000000001,
0.4058400000000001,
0.42657600000000007,
0.44731200000000004,
0.47841600000000006,
0.5032992000000001,
0.5281824,
0.5530656,
0.5779488,
0.602832,
0.6401568000000001,
0.67001664,
0.69987648,
0.72973632,
0.75959616,
0.80438592,
0.8402177279999999,
0.8760495359999999,
0.9118813439999999,
0.9477131519999998,
1.0014608639999998,
1.0444590335999997,
1.0874572031999996,
1.1519544575999996,
1.2035522611199996,
1.2551500646399996,
1.3325467699199995,
1.3944641341439996,
1.4563814983679997,
1.5492575447039998,
1.6235583817727999,
1.735009637376,
1.8241706418585601,
1.9579121485824003,
2.064905353961472,
2.2253951620300803,
2.3858849700986884,
2.626619682201601,
2.867354394304513,
3.2284564624588814,
3.7701095646904337,
4.5825892180377625
],
"xaxis": "x",
"y": [
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
"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": 0.012,
"x1": 0.012,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.030000000000000002,
"x1": 0.030000000000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.04440000000000001,
"x1": 0.04440000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.05880000000000001,
"x1": 0.05880000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.07320000000000002,
"x1": 0.07320000000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.08760000000000001,
"x1": 0.08760000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.10200000000000001,
"x1": 0.10200000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1164,
"x1": 0.1164,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.138,
"x1": 0.138,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.15528000000000003,
"x1": 0.15528000000000003,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.17256000000000005,
"x1": 0.17256000000000005,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.18984000000000006,
"x1": 0.18984000000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.20712000000000008,
"x1": 0.20712000000000008,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2244000000000001,
"x1": 0.2244000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.24168000000000012,
"x1": 0.24168000000000012,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.25896000000000013,
"x1": 0.25896000000000013,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.27624000000000015,
"x1": 0.27624000000000015,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.30216000000000015,
"x1": 0.30216000000000015,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3228960000000002,
"x1": 0.3228960000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.34363200000000016,
"x1": 0.34363200000000016,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.36436800000000014,
"x1": 0.36436800000000014,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3851040000000001,
"x1": 0.3851040000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4058400000000001,
"x1": 0.4058400000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.42657600000000007,
"x1": 0.42657600000000007,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.44731200000000004,
"x1": 0.44731200000000004,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.47841600000000006,
"x1": 0.47841600000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5032992000000001,
"x1": 0.5032992000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5281824,
"x1": 0.5281824,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5530656,
"x1": 0.5530656,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5779488,
"x1": 0.5779488,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.602832,
"x1": 0.602832,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6401568000000001,
"x1": 0.6401568000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.67001664,
"x1": 0.67001664,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.69987648,
"x1": 0.69987648,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.72973632,
"x1": 0.72973632,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.75959616,
"x1": 0.75959616,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.80438592,
"x1": 0.80438592,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.8402177279999999,
"x1": 0.8402177279999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.8760495359999999,
"x1": 0.8760495359999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.9118813439999999,
"x1": 0.9118813439999999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.9477131519999998,
"x1": 0.9477131519999998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0014608639999998,
"x1": 1.0014608639999998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0444590335999997,
"x1": 1.0444590335999997,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.0874572031999996,
"x1": 1.0874572031999996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.1519544575999996,
"x1": 1.1519544575999996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.2035522611199996,
"x1": 1.2035522611199996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.2551500646399996,
"x1": 1.2551500646399996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.3325467699199995,
"x1": 1.3325467699199995,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.3944641341439996,
"x1": 1.3944641341439996,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.4563814983679997,
"x1": 1.4563814983679997,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.5492575447039998,
"x1": 1.5492575447039998,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.6235583817727999,
"x1": 1.6235583817727999,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.735009637376,
"x1": 1.735009637376,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.8241706418585601,
"x1": 1.8241706418585601,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 1.9579121485824003,
"x1": 1.9579121485824003,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.064905353961472,
"x1": 2.064905353961472,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.2253951620300803,
"x1": 2.2253951620300803,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.3858849700986884,
"x1": 2.3858849700986884,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.626619682201601,
"x1": 2.626619682201601,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 2.867354394304513,
"x1": 2.867354394304513,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 3.2284564624588814,
"x1": 3.2284564624588814,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 3.7701095646904337,
"x1": 3.7701095646904337,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 4.5825892180377625,
"x1": 4.5825892180377625,
"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": "WITHOUT catalysis
Reaction `A <-> B` . Changes in concentrations with time (time steps shown in dashed lines)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.003010899617633221,
4.585600117655396
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-5.881065199639563,
111.74023879315169
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics2.plot_history(colors=['darkturquoise', 'green', 'darkblue'], show_intervals=True, title_prefix=\"WITHOUT catalysis\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "af8fec87-0f53-4491-b742-e909182781b9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 14.14 ; [B] = 105.9\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 7.48607\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 7.51557\n",
"Discrepancy between the two values: 0.3926 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reaction has reached equilibrium\n",
"dynamics2.is_in_equilibrium()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9d774e6b-8952-4664-837c-08ba42f8be48",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,py:percent"
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}