{
"cells": [
{
"cell_type": "markdown",
"id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0",
"metadata": {},
"source": [
"## A complex (multistep) reaction `A <-> C` derived from 2 coupled elementary reactions: \n",
"## `A <-> B` (slow) and `B <-> C` (fast) \n",
"A repeat of experiment `cascade_2_a`, with more DISSIMILAR elementary reactions.\n",
"\n",
"In PART 1, a time evolution of [A], [B] and [C] is obtained by simulation \n",
"In PART 2, the time functions generated in Part 1 are taken as a _starting point,_ to explore how to model the composite reaction `A <-> C` \n",
"\n",
"**Background**: please see experiment `cascade_2_a` \n",
"\n",
"LAST REVISED: Dec. 6, 2023"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "4d9b4808-b2ec-4b90-a604-f7fa69af39b8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"import set_path # Importing this module will add the project's home directory to sys.path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "3924c013",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from src.modules.reactions.reaction_dynamics import ReactionDynamics\n",
"from src.modules.visualization.plotly_helper import PlotlyHelper"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "75411c8b-f0c5-411d-9e12-1eaa423449f9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "9329208b-070f-4902-8f37-0f11ddf75ed6",
"metadata": {},
"source": [
"# PART 1 - We'll generate the time evolution of [A] and [C] by simulating coupled elementary reactions of KNOWN rate constants...\n",
"## but pretend you don't see this section! (because we later assume that those time evolutions are just GIVEN to us)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "72b4245c-de4e-480d-a501-3495b7ed8bc4",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2 (at temp. 25 C)\n",
"0: A <-> B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n",
"1: B <-> C (kF = 80 / kR = 0.1 / delta_G = -16,571 / K = 800) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'C', 'B', 'A'}\n"
]
}
],
"source": [
"# Instantiate the simulator and specify the chemicals\n",
"dynamics = ReactionDynamics(names=[\"A\", \"B\", \"C\"])\n",
"\n",
"# Reaction A <-> B (much slower, and with a much smaller K)\n",
"dynamics.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=8., reverse_rate=2.) \n",
"\n",
"# Reaction B <-> C (much faster, and with a much larger K)\n",
"dynamics.add_reaction(reactants=\"B\", products=\"C\",\n",
" forward_rate=80., reverse_rate=0.1) # <===== THIS IS THE KEY DIFFERENCE FROM THE EARLIER EXPERIMENT `cascade_2_a`\n",
" \n",
"dynamics.describe_reactions()"
]
},
{
"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
"metadata": {},
"source": [
"### Run the simulation"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 50.0\n",
" Species 1 (B). Conc: 0.0\n",
" Species 2 (C). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'C', 'B', 'A'}\n"
]
}
],
"source": [
"dynamics.set_conc([50., 0., 0.], snapshot=True) # Set the initial concentrations of all the chemicals, in their index order\n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2502cd11-0df9-4303-8895-98401a1df7b8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"* INFO: the tentative time step (0.01) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.4 (set to 0.004) [Step started at t=0, and will rewind there]\n",
"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"102 total step(s) taken\n"
]
}
],
"source": [
"# These settings can be tweaked to make the time resolution finer or coarser. \n",
"# Here we use a \"mid\" heuristic: neither too fast nor too prudent\n",
"dynamics.use_adaptive_preset(preset=\"mid\")\n",
"\n",
"dynamics.single_compartment_react(initial_step=0.01, reaction_duration=0.8,\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": 6,
"id": "a2c0e793-5457-46a5-9150-388c9f562cf0",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
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,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098,
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "B",
"line": {
"color": "orange",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "B",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
1.6,
2.624,
2.9435904,
3.0713065369600003,
3.185668608533504,
3.287797949968044,
3.378723424161262,
3.4593890346437415,
3.530660911906862,
3.593333724657369,
3.648136563334523,
3.69573833932936,
3.736752739769965,
3.771742774455361,
3.80122494850941,
3.8305627201734342,
3.853277409288672,
3.8734141464665153,
3.885899516796944,
3.891699473920215,
3.8916578829914457,
3.8842934327668313,
3.868036896630442,
3.844283761677834,
3.808518568037727,
3.7657619260423223,
3.717723250443134,
3.655363099070925,
3.5888891819238284,
3.505939751852901,
3.4207474025430256,
3.3175132178404025,
3.193865356383366,
3.0721506406883927,
2.9298664457024692,
2.7929963507838798,
2.635820543468343,
2.487238263350492,
2.3190226325428513,
2.1623779381663804,
2.01658062110687,
1.8537623889170043,
1.7045071753116607,
1.5676875128717855,
1.442267585050898,
1.327297606101438,
1.2219068935731814,
1.1252973061498133,
1.0367372029660162,
0.9555559032167551,
0.8811386070305709,
0.8129217394913838,
0.750388682589995,
0.6930658627876064,
0.6405191645623973,
0.5923506427784057,
0.548195508978928,
0.507719368781125,
0.47061568945014803,
0.4366034784742928,
0.4054251555606329,
0.3768446019353919,
0.3506453721760705,
0.3266290550332316,
0.30461377082816044,
0.28443279404694,
0.26593329069960897,
0.248975160882207,
0.23342997777623203,
0.21918001505037105,
0.206117355298851,
0.19414307276446136,
0.18316648415686915,
0.17310446189254602,
0.16388080455535603,
0.15542565981019363,
0.1476749953992988,
0.14057011421501364,
0.1340572097765436,
0.1280869587442723,
0.12261414738567217,
0.11759732916397202,
0.11299851085644308,
0.10878286482522287,
0.10491846526165502,
0.10137604640667805,
0.09812878091622484,
0.09455673584854232,
0.0913418369557597,
0.08844837545262127,
0.08584421284926869,
0.08350042398000455,
0.08139097572335026,
0.07949243784485147,
0.07778372275088104,
0.07624585126281208,
0.07486174180994826,
0.07361602069971916,
0.07249485135775738,
0.07148578064117955,
0.07057760051802948,
0.06976022357651836
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=C
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "C",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
0,
0.512,
0.9317376,
1.16713165824,
1.412719468030976,
1.6674316847668533,
1.9302887775958202,
2.2003936226509615,
2.4769247060601955,
2.7591298865421385,
3.046320671526074,
3.3378669645256833,
3.6331922449755796,
3.9317691449326793,
4.233115389974615,
4.597525011184722,
4.964707329320029,
5.407889969014661,
5.853328542532066,
6.300141287556949,
6.83704115841719,
7.373842503449753,
8.016671132443062,
8.656669700225269,
9.419780297379077,
10.175581388465691,
10.922683035462407,
11.807506511164407,
12.677169266853479,
13.701397912701719,
14.70148173449201,
15.871847382228536,
17.233069019114314,
18.542548631045396,
20.052823335037083,
21.49168401814542,
23.135891251366523,
24.685450472446128,
26.437557972426152,
28.068117078859768,
29.585489576035645,
31.279918508871503,
32.83317096143007,
34.25700718961662,
35.562209815836695,
36.75866332316253,
37.85542865396867,
38.86081179918724,
39.78242669732219,
40.627252895669685,
41.401688407571584,
42.111598165658876,
42.76235843798919,
43.35889754344456,
43.90573317473347,
44.40700661165069,
44.86651408369771,
45.28773551957825,
45.67386090129371,
46.02781442242266,
46.35227663353911,
46.649704742480644,
46.922351223203734,
47.172280874154445,
47.40138645534031,
47.61140302252571,
47.80392106710602,
47.980398561171086,
48.1421719989773,
48.29046651844724,
48.426405179348826,
48.55101746841903,
48.665247095843114,
48.769959142133295,
48.865946609531484,
48.95393642755095,
49.03459495813788,
49.10853304214441,
49.17631062533091,
49.23844099893104,
49.295394686894056,
49.3476030092432,
49.395461348536045,
49.439332144164204,
49.479547637168906,
49.516412386359214,
49.550205574787995,
49.58737863390594,
49.62083499415203,
49.65094626471935,
49.67804689995013,
49.70243791421403,
49.72439022535934,
49.744147663873655,
49.76192968117757,
49.777933787133286,
49.792337743842154,
49.80530154009825,
49.81696916842888,
49.82747022446003,
49.836921346371405,
49.84542751042945
],
"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": 0.004,
"x1": 0.004,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.008,
"x1": 0.008,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.01,
"x1": 0.01,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.011,
"x1": 0.011,
"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": 0.013000000000000001,
"x1": 0.013000000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.014000000000000002,
"x1": 0.014000000000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.015000000000000003,
"x1": 0.015000000000000003,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.016000000000000004,
"x1": 0.016000000000000004,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.017000000000000005,
"x1": 0.017000000000000005,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.018000000000000006,
"x1": 0.018000000000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.019000000000000006,
"x1": 0.019000000000000006,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.020000000000000007,
"x1": 0.020000000000000007,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.021000000000000008,
"x1": 0.021000000000000008,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02200000000000001,
"x1": 0.02200000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02320000000000001,
"x1": 0.02320000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02440000000000001,
"x1": 0.02440000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02584000000000001,
"x1": 0.02584000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02728000000000001,
"x1": 0.02728000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.02872000000000001,
"x1": 0.02872000000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.03044800000000001,
"x1": 0.03044800000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.03217600000000001,
"x1": 0.03217600000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.03424960000000001,
"x1": 0.03424960000000001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.036323200000000014,
"x1": 0.036323200000000014,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.038811520000000016,
"x1": 0.038811520000000016,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.04129984000000002,
"x1": 0.04129984000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.04378816000000002,
"x1": 0.04378816000000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.04677414400000002,
"x1": 0.04677414400000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.049760128000000015,
"x1": 0.049760128000000015,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.05334330880000002,
"x1": 0.05334330880000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.05692648960000002,
"x1": 0.05692648960000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.06122630656000002,
"x1": 0.06122630656000002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.06638608691200001,
"x1": 0.06638608691200001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.07154586726400002,
"x1": 0.07154586726400002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.07773760368640001,
"x1": 0.07773760368640001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.0839293401088,
"x1": 0.0839293401088,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.09135942381568,
"x1": 0.09135942381568,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.09878950752256001,
"x1": 0.09878950752256001,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.107705607970816,
"x1": 0.107705607970816,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.116621708419072,
"x1": 0.116621708419072,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.125537808867328,
"x1": 0.125537808867328,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1362371294052352,
"x1": 0.1362371294052352,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1469364499431424,
"x1": 0.1469364499431424,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1576357704810496,
"x1": 0.1576357704810496,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1683350910189568,
"x1": 0.1683350910189568,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.179034411556864,
"x1": 0.179034411556864,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.1897337320947712,
"x1": 0.1897337320947712,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2004330526326784,
"x1": 0.2004330526326784,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2111323731705856,
"x1": 0.2111323731705856,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.22183169370849282,
"x1": 0.22183169370849282,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.23253101424640002,
"x1": 0.23253101424640002,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.24323033478430722,
"x1": 0.24323033478430722,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2539296553222144,
"x1": 0.2539296553222144,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2646289758601216,
"x1": 0.2646289758601216,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.27532829639802875,
"x1": 0.27532829639802875,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2860276169359359,
"x1": 0.2860276169359359,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.2967269374738431,
"x1": 0.2967269374738431,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3074262580117503,
"x1": 0.3074262580117503,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.31812557854965745,
"x1": 0.31812557854965745,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3288248990875646,
"x1": 0.3288248990875646,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3395242196254718,
"x1": 0.3395242196254718,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.350223540163379,
"x1": 0.350223540163379,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.36092286070128615,
"x1": 0.36092286070128615,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3716221812391933,
"x1": 0.3716221812391933,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3823215017771005,
"x1": 0.3823215017771005,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.3930208223150077,
"x1": 0.3930208223150077,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.40372014285291485,
"x1": 0.40372014285291485,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.41441946339082203,
"x1": 0.41441946339082203,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4251187839287292,
"x1": 0.4251187839287292,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4358181044666364,
"x1": 0.4358181044666364,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.44651742500454356,
"x1": 0.44651742500454356,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.45721674554245073,
"x1": 0.45721674554245073,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4679160660803579,
"x1": 0.4679160660803579,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.4786153866182651,
"x1": 0.4786153866182651,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.48931470715617226,
"x1": 0.48931470715617226,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5000140276940794,
"x1": 0.5000140276940794,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5107133482319867,
"x1": 0.5107133482319867,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5214126687698939,
"x1": 0.5214126687698939,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5321119893078011,
"x1": 0.5321119893078011,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5428113098457084,
"x1": 0.5428113098457084,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5535106303836156,
"x1": 0.5535106303836156,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5642099509215228,
"x1": 0.5642099509215228,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.57490927145943,
"x1": 0.57490927145943,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5856085919973373,
"x1": 0.5856085919973373,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.5963079125352445,
"x1": 0.5963079125352445,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6070072330731517,
"x1": 0.6070072330731517,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.617706553611059,
"x1": 0.617706553611059,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6305457382565476,
"x1": 0.6305457382565476,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6433849229020362,
"x1": 0.6433849229020362,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6562241075475248,
"x1": 0.6562241075475248,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6690632921930134,
"x1": 0.6690632921930134,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.681902476838502,
"x1": 0.681902476838502,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.6947416614839906,
"x1": 0.6947416614839906,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7075808461294792,
"x1": 0.7075808461294792,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7204200307749679,
"x1": 0.7204200307749679,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7332592154204565,
"x1": 0.7332592154204565,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7460984000659451,
"x1": 0.7460984000659451,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7589375847114337,
"x1": 0.7589375847114337,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7717767693569223,
"x1": 0.7717767693569223,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7846159540024109,
"x1": 0.7846159540024109,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.7974551386478995,
"x1": 0.7974551386478995,
"xref": "x",
"y0": 0,
"y1": 1,
"yref": "y domain"
},
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.8102943232933881,
"x1": 0.8102943232933881,
"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": "Changes in concentration for `A <-> B` and `B <-> C` (time steps shown in dashed lines)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.0009466055178661076,
0.8112409288112542
],
"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', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "042a23ff-84de-4273-ae7b-09b73b740b4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 0.08481 ; [B] = 0.06976\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 0.822525\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 4.0\n",
"Discrepancy between the two values: 79.44 %\n",
"Reaction is NOT in equilibrium (not within 15% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 0.06976 ; [C] = 49.85\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 714.525\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 800.0\n",
"Discrepancy between the two values: 10.68 %\n",
"Reaction IS in equilibrium (within 15% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"{False: [0]}"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.is_in_equilibrium(tolerance=15)"
]
},
{
"cell_type": "markdown",
"id": "b56568ac-1e46-4242-9141-ca197b654c55",
"metadata": {},
"source": [
"We didn't quite advance to equilibrium this time. A separate run (not shown) displayed far-better values if we had progressed the simulation just a little more in time. "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "bed9100c-f575-4591-bf8e-a32de741fa7a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1f447754-5017-4b48-a4f5-fc9049b7de64",
"metadata": {},
"source": [
"# PART 2 - This is the starting point of fitting the data from part 1. \n",
"### We're given the data of the time evolution of `A` and `C`, and we want to try to model the complex reaction `A <-> C`"
]
},
{
"cell_type": "markdown",
"id": "b5f75cfb-45b4-4fd2-ad4c-c2a2084ca62d",
"metadata": {},
"source": [
"Let's start by taking stock of the actual data (saved during the simulation of part 1):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f26c98c3-802c-4c38-a726-06ac4a77211a",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" Initial state | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.004000 | \n",
" 48.400000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.008000 | \n",
" 46.864000 | \n",
" 0.512000 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.010000 | \n",
" 46.124672 | \n",
" 0.931738 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.011000 | \n",
" 45.761562 | \n",
" 1.167132 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 98 | \n",
" 0.758938 | \n",
" 0.121082 | \n",
" 49.805302 | \n",
" | \n",
"
\n",
" \n",
" | 99 | \n",
" 0.771777 | \n",
" 0.110536 | \n",
" 49.816969 | \n",
" | \n",
"
\n",
" \n",
" | 100 | \n",
" 0.784616 | \n",
" 0.101044 | \n",
" 49.827470 | \n",
" | \n",
"
\n",
" \n",
" | 101 | \n",
" 0.797455 | \n",
" 0.092501 | \n",
" 49.836921 | \n",
" | \n",
"
\n",
" \n",
" | 102 | \n",
" 0.810294 | \n",
" 0.084812 | \n",
" 49.845428 | \n",
" last reaction step | \n",
"
\n",
" \n",
"
\n",
"
103 rows × 4 columns
\n",
"
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_0",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C'(t)",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098,
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"xaxis": "x",
"y": [
-64.00000000000001,
64.00000000000001,
182.5792,
226.88563882666676,
240.49093401548794,
250.15001326342644,
258.78465478242174,
266.48096894205366,
273.31796423218736,
279.3681319455884,
284.69798273293895,
289.3685389917721,
293.43578672475246,
296.95109020349764,
299.9615724995174,
302.4046265418533,
304.82997472725606,
306.7945637024859,
308.5490323652907,
309.80948560496086,
310.477226351029,
310.6774351541678,
310.35672827235,
309.32368749409625,
307.74844341128755,
305.208270688742,
301.9914516789097,
298.46257584788736,
293.7869445032311,
288.7915337984955,
282.4742289920914,
275.96167839015743,
268.38247523863674,
258.7998971488837,
249.30041014658013,
238.15091485733024,
227.34153620369466,
214.92129700661303,
203.07862783799624,
189.69428541348998,
176.53073907580483,
164.81273124793415,
151.77044999670966,
139.12512809563145,
127.5332786197855,
116.90724306663469,
107.16656398914347,
98.23747538812813,
90.05235596626198,
82.54921843980787,
75.67124026766123,
69.36633334473072,
63.5867495322168,
58.28871905307301,
53.43211901603263,
48.98016955809135,
44.8991553043129,
41.15817003552593,
37.72888263023833,
34.585322508207355,
31.703682950791972,
29.062140808598997,
26.64069123103991,
24.420996166174064,
22.3862454835039,
20.52102966798111,
18.811223121110743,
17.24387718538037,
15.807122081859234,
14.49007701833034,
13.282767787192824,
12.176051229078894,
11.161545990144077,
10.231569048640267,
9.379077530077666,
8.597615370332733,
7.881264422767799,
7.224599639095231,
6.6226479845586255,
6.0708507762888075,
5.565029159619826,
5.101352460906583,
4.676309177178609,
4.286680382927443,
3.9295153526313698,
3.6021092144083013,
3.301982465557103,
3.0388240384081655,
2.750541460156228,
2.475532230769204,
2.228019433391637,
2.0052538738420935,
1.804761232462397,
1.624314581155204,
1.461909648266328,
1.3157425565766516,
1.1841897871322544,
1.0657901463619055,
0.9592285361898121,
0.8633213468726808,
0.7770033103129208,
0.6993156678267951,
0.6257161457842813
],
"yaxis": "y"
},
{
"hovertemplate": "Linear Fit :
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_1",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "Linear Fit",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098,
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"xaxis": "x",
"y": [
325.68885384200996,
315.77290369221504,
306.25359154841186,
301.6716293031946,
299.42126518164116,
297.19048700661943,
294.9789725677488,
292.78641613121226,
290.6125271617548,
288.45702914926846,
286.31965853135955,
284.2001637040026,
282.098304113035,
280.0138494198424,
277.9465787351331,
275.89627991520103,
273.45604271560626,
271.03966816094965,
268.16826075813617,
265.3302913833908,
262.52523826360016,
259.1980758002844,
255.91690714004827,
252.0337461162846,
248.2145842462989,
243.70688376947118,
239.28781301211092,
234.95539202714502,
229.85820119958953,
224.8804633971808,
219.0469147842521,
213.37690338825942,
206.76338939405824,
199.09356447915513,
191.73242854118416,
183.25434998325056,
175.18530387825572,
165.9694729467194,
157.28696200447632,
147.47084149361453,
138.33630284672518,
129.83600840126894,
120.34389880345762,
111.64266965851395,
103.66642459107373,
96.35475807550071,
89.65229760349791,
83.50828429436324,
77.87618848402013,
72.7133573472806,
67.98069188062729,
63.642350798761385,
59.66547910241586,
56.01995926182463,
52.6781831315168,
49.61484286910747,
46.80673927467737,
44.232606099262746,
41.87294899191342,
39.70989786563773,
37.727071564176356,
35.90945380470325,
34.24327945694665,
32.71593029750244,
31.31583944986941,
30.032403786514546,
28.855903629574104,
27.777429142070186,
26.788812852190915,
25.882567799629022,
25.05183083555046,
24.29031064679409,
23.59224011068069,
22.95233261960622,
22.365742044657917,
21.82802603505094,
21.3351123754458,
20.88326814636488,
20.469071454154566,
20.08938551639914,
19.74133490653088,
19.422283777732687,
19.129815901219178,
18.861716367722703,
18.615954813606493,
18.390670044573465,
18.184155940523386,
17.99484853481344,
17.786607297122828,
17.599186782600157,
17.430505258933213,
17.278689133046097,
17.142052140574528,
17.019076616053784,
16.90839663578198,
16.80878284612174,
16.719128808723955,
16.638438711006167,
16.565816305382455,
16.500454954389657,
16.441628671138464,
16.38868405557305,
16.341033036973087
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Curve vs Fit:"
},
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"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": "d/dt C(t) as a function of A(t), alongside its least-square fit"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.08481226599400984,
50
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-85.64938076900057,
347.33823461101053
],
"title": {
"text": "C'(t)"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.estimate_rate_constants(t=t_arr, reactant_conc=A_conc, product_conc=C_conc, reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "b0545236-4a04-495a-b10f-afddbd40628b",
"metadata": {},
"source": [
"### The least-square fit is awful : the complex reaction `A <-> C` doesn't seem to be amenable to being modeled as a simple reaction with some suitable rate constants"
]
},
{
"cell_type": "markdown",
"id": "8951650d-cb8c-4def-99c3-4e465a12b9d4",
"metadata": {},
"source": [
"### But it looks like we'll do much better if splitting into 2 portions, one where A(t) ranges from 0 to about 40, and one from about 40 to 50 \n",
"Indeed, revisiting the early portion of the time plot from Part 1, one can see an inflection in the [C] green curve roughly around time t=0.028, which is when [A] is around 40 (blue). That's around the peak of the mystery intermediate B (orange).\n",
"\n",
"We'll pick time **t=0.028** as the divider between the 2 domains of the `A <-> C` time evolution that we want to model. \n",
"\n",
"Note that this is a much smaller time than we saw in experiment `cascade_2_a`"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "ef2fb66f-1a60-4bd4-9d68-8ac5fa742c7f",
"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,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098,
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "B",
"line": {
"color": "orange",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "B",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
1.6,
2.624,
2.9435904,
3.0713065369600003,
3.185668608533504,
3.287797949968044,
3.378723424161262,
3.4593890346437415,
3.530660911906862,
3.593333724657369,
3.648136563334523,
3.69573833932936,
3.736752739769965,
3.771742774455361,
3.80122494850941,
3.8305627201734342,
3.853277409288672,
3.8734141464665153,
3.885899516796944,
3.891699473920215,
3.8916578829914457,
3.8842934327668313,
3.868036896630442,
3.844283761677834,
3.808518568037727,
3.7657619260423223,
3.717723250443134,
3.655363099070925,
3.5888891819238284,
3.505939751852901,
3.4207474025430256,
3.3175132178404025,
3.193865356383366,
3.0721506406883927,
2.9298664457024692,
2.7929963507838798,
2.635820543468343,
2.487238263350492,
2.3190226325428513,
2.1623779381663804,
2.01658062110687,
1.8537623889170043,
1.7045071753116607,
1.5676875128717855,
1.442267585050898,
1.327297606101438,
1.2219068935731814,
1.1252973061498133,
1.0367372029660162,
0.9555559032167551,
0.8811386070305709,
0.8129217394913838,
0.750388682589995,
0.6930658627876064,
0.6405191645623973,
0.5923506427784057,
0.548195508978928,
0.507719368781125,
0.47061568945014803,
0.4366034784742928,
0.4054251555606329,
0.3768446019353919,
0.3506453721760705,
0.3266290550332316,
0.30461377082816044,
0.28443279404694,
0.26593329069960897,
0.248975160882207,
0.23342997777623203,
0.21918001505037105,
0.206117355298851,
0.19414307276446136,
0.18316648415686915,
0.17310446189254602,
0.16388080455535603,
0.15542565981019363,
0.1476749953992988,
0.14057011421501364,
0.1340572097765436,
0.1280869587442723,
0.12261414738567217,
0.11759732916397202,
0.11299851085644308,
0.10878286482522287,
0.10491846526165502,
0.10137604640667805,
0.09812878091622484,
0.09455673584854232,
0.0913418369557597,
0.08844837545262127,
0.08584421284926869,
0.08350042398000455,
0.08139097572335026,
0.07949243784485147,
0.07778372275088104,
0.07624585126281208,
0.07486174180994826,
0.07361602069971916,
0.07249485135775738,
0.07148578064117955,
0.07057760051802948,
0.06976022357651836
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=C
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "C",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
0,
0.512,
0.9317376,
1.16713165824,
1.412719468030976,
1.6674316847668533,
1.9302887775958202,
2.2003936226509615,
2.4769247060601955,
2.7591298865421385,
3.046320671526074,
3.3378669645256833,
3.6331922449755796,
3.9317691449326793,
4.233115389974615,
4.597525011184722,
4.964707329320029,
5.407889969014661,
5.853328542532066,
6.300141287556949,
6.83704115841719,
7.373842503449753,
8.016671132443062,
8.656669700225269,
9.419780297379077,
10.175581388465691,
10.922683035462407,
11.807506511164407,
12.677169266853479,
13.701397912701719,
14.70148173449201,
15.871847382228536,
17.233069019114314,
18.542548631045396,
20.052823335037083,
21.49168401814542,
23.135891251366523,
24.685450472446128,
26.437557972426152,
28.068117078859768,
29.585489576035645,
31.279918508871503,
32.83317096143007,
34.25700718961662,
35.562209815836695,
36.75866332316253,
37.85542865396867,
38.86081179918724,
39.78242669732219,
40.627252895669685,
41.401688407571584,
42.111598165658876,
42.76235843798919,
43.35889754344456,
43.90573317473347,
44.40700661165069,
44.86651408369771,
45.28773551957825,
45.67386090129371,
46.02781442242266,
46.35227663353911,
46.649704742480644,
46.922351223203734,
47.172280874154445,
47.40138645534031,
47.61140302252571,
47.80392106710602,
47.980398561171086,
48.1421719989773,
48.29046651844724,
48.426405179348826,
48.55101746841903,
48.665247095843114,
48.769959142133295,
48.865946609531484,
48.95393642755095,
49.03459495813788,
49.10853304214441,
49.17631062533091,
49.23844099893104,
49.295394686894056,
49.3476030092432,
49.395461348536045,
49.439332144164204,
49.479547637168906,
49.516412386359214,
49.550205574787995,
49.58737863390594,
49.62083499415203,
49.65094626471935,
49.67804689995013,
49.70243791421403,
49.72439022535934,
49.744147663873655,
49.76192968117757,
49.777933787133286,
49.792337743842154,
49.80530154009825,
49.81696916842888,
49.82747022446003,
49.836921346371405,
49.84542751042945
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"shapes": [
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.028,
"x1": 0.028,
"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": "Changes in concentration for `A <-> B` and `B <-> C`"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"range": [
0,
0.4
],
"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', 'orange', 'green'], xrange=[0, 0.4], \n",
" vertical_lines=[0.028])"
]
},
{
"cell_type": "markdown",
"id": "6d4a4dbd-de22-471c-a1a4-5507941d92e1",
"metadata": {},
"source": [
"#### Let's locate where the t = 0.028 point occurs in the data"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "3795ba32-68ec-4d20-9b6b-c2a117810741",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" search_value | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 19 | \n",
" 0.028 | \n",
" 0.02728 | \n",
" 40.260772 | \n",
" 3.8859 | \n",
" 5.853329 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_0",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C'(t)",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098
],
"xaxis": "x",
"y": [
-64.00000000000001,
64.00000000000001,
182.5792,
226.88563882666676,
240.49093401548794,
250.15001326342644,
258.78465478242174,
266.48096894205366,
273.31796423218736,
279.3681319455884,
284.69798273293895,
289.3685389917721,
293.43578672475246,
296.95109020349764,
299.9615724995174,
302.4046265418533,
304.82997472725606,
306.7945637024859,
308.5490323652907,
310.11565307554883
],
"yaxis": "y"
},
{
"hovertemplate": "Linear Fit :
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_1",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "Linear Fit",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098
],
"xaxis": "x",
"y": [
57.85739398730857,
109.2635060584314,
158.61337364670953,
182.3671099125338,
194.03341203042055,
205.59817699380164,
217.0630752006407,
228.42969163136058,
239.69953247423928,
250.8740312086088,
261.95455419046584,
272.9424057814231,
283.838833058569,
294.6450301397083,
305.36214215561654,
315.9912688983418,
328.6419080269668,
341.16883880879004,
356.05474369143326,
370.7672996773658
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Curve vs Fit:"
},
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"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": "d/dt C(t) as a function of A(t), alongside its least-square fit"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
40.26077194067098,
50
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-88.15373887096479,
394.9210385483306
],
"title": {
"text": "C'(t)"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.estimate_rate_constants(t=t_arr_early, reactant_conc=A_conc_early, product_conc=C_conc_early, \n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "49e2b683-f622-4d9a-a6e8-e687a7b44f34",
"metadata": {},
"source": [
"Just as we saw in experiment `cascade_2_a`, trying to fit an elementary reaction to that region leads to a **negative** reverse rate constant! \n",
"This time, we won't discuss this part any further."
]
},
{
"cell_type": "markdown",
"id": "652e8cc0-b053-40d1-9d1c-2f2a30f59469",
"metadata": {},
"source": [
"### II. And now let's consider the LATE region, when t > 0.028"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "2d61a783-e1e5-473a-9fd8-cba5cb842a85",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total REACTANT + PRODUCT has a median of 49.59, \n",
" with standard deviation 1.353 (ideally should be zero)\n",
"The sum of the time derivatives of reactant and product \n",
" has a median of 2.347 (ideally should be zero)\n",
"Least square fit: Y = 2.263 + 8.377 X\n",
" where X is the array [A] and Y is the time gradient of C\n",
"\n",
"-> ESTIMATED RATE CONSTANTS: kF = 8.422 , kR = -0.04564\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "C'(t) :
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_0",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C'(t)",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"xaxis": "x",
"y": [
310.7344524155551,
310.6774351541678,
310.35672827235,
309.32368749409625,
307.74844341128755,
305.208270688742,
301.9914516789097,
298.46257584788736,
293.7869445032311,
288.7915337984955,
282.4742289920914,
275.96167839015743,
268.38247523863674,
258.7998971488837,
249.30041014658013,
238.15091485733024,
227.34153620369466,
214.92129700661303,
203.07862783799624,
189.69428541348998,
176.53073907580483,
164.81273124793415,
151.77044999670966,
139.12512809563145,
127.5332786197855,
116.90724306663469,
107.16656398914347,
98.23747538812813,
90.05235596626198,
82.54921843980787,
75.67124026766123,
69.36633334473072,
63.5867495322168,
58.28871905307301,
53.43211901603263,
48.98016955809135,
44.8991553043129,
41.15817003552593,
37.72888263023833,
34.585322508207355,
31.703682950791972,
29.062140808598997,
26.64069123103991,
24.420996166174064,
22.3862454835039,
20.52102966798111,
18.811223121110743,
17.24387718538037,
15.807122081859234,
14.49007701833034,
13.282767787192824,
12.176051229078894,
11.161545990144077,
10.231569048640267,
9.379077530077666,
8.597615370332733,
7.881264422767799,
7.224599639095231,
6.6226479845586255,
6.0708507762888075,
5.565029159619826,
5.101352460906583,
4.676309177178609,
4.286680382927443,
3.9295153526313698,
3.6021092144083013,
3.301982465557103,
3.0388240384081655,
2.750541460156228,
2.475532230769204,
2.228019433391637,
2.0052538738420935,
1.804761232462397,
1.624314581155204,
1.461909648266328,
1.3157425565766516,
1.1841897871322544,
1.0657901463619055,
0.9592285361898121,
0.8633213468726808,
0.7770033103129208,
0.6993156678267951,
0.6257161457842813
],
"yaxis": "y"
},
{
"hovertemplate": "Linear Fit :
A(t)=%{x}
value=%{y}",
"legendgroup": "wide_variable_1",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "Linear Fit",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"xaxis": "x",
"y": [
335.73045123994075,
331.2332685502747,
326.79825371003653,
321.5495516313732,
316.387354461832,
310.2944892116072,
304.32142094892765,
298.46547346432004,
291.5758194097468,
284.84762488197504,
276.9626676156431,
269.2987565859256,
260.3595535922294,
249.99258046711867,
240.04284898225123,
228.5833941005767,
217.6768108286145,
205.22016773013144,
193.4843903694495,
180.21636161285846,
167.869597806219,
156.38011466295404,
143.5500375499931,
131.78895959816336,
121.00781150535913,
111.12494571536799,
102.06551758548244,
93.76091851538403,
86.14825635533609,
79.16987911232182,
72.77293834153572,
66.90898891605711,
61.53362214361384,
56.6061294519577,
52.08919409588177,
47.94860855112445,
44.15301545493558,
40.6736701314033,
37.48422290310551,
34.56051954049441,
31.88041833778364,
29.423622430022068,
27.171526081462883,
25.107073781143495,
23.214631078582986,
21.47986618141367,
19.88964141826544,
18.431913744932764,
17.09564354034041,
15.8707110016043,
14.747839505032815,
13.718525352668452,
12.774973372328276,
11.910037883431276,
11.117168581536772,
10.390360931768178,
9.72411069544306,
9.113372245531853,
8.553520355261114,
8.040315170479827,
7.569870100518505,
7.138622384373097,
6.743306109306337,
6.38092747753182,
6.0487421336711495,
5.744234381281123,
5.465098131054146,
5.209219436409362,
4.92774869377434,
4.67442042895625,
4.446420853742994,
4.241217512794233,
4.056531154948396,
3.890310416939666,
3.740709038329828,
3.6060653545748655,
3.4848838404500064,
3.3758184988308746,
3.2776579103252566,
3.1893117776975575,
3.1097988156310716,
3.0382358513162746,
2.97382801480229
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Curve vs Fit:"
},
"tracegroupgap": 0
},
"margin": {
"t": 60
},
"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": "d/dt C(t) as a function of A(t), alongside its least-square fit"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.08481226599400984,
39.808159238522826
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-17.991213581668855,
354.34738096739386
],
"title": {
"text": "C'(t)"
},
"type": "linear"
}
}
},
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAFoCAYAAACVPbVfAAAAAXNSR0IArs4c6QAAIABJREFUeF7tnQmYFMXd/797srAcAgoEBVFUwBM1IF4E4xHFMyTyQtRXRJHgySF3FFBxEURQUSQIaqKRP/oS86qYGA9eVOQQ5PAAEeUwiJzCsgd7/p9q7GG26Znpnvr1bM3Mt5/HR3an69dVn19Nz2eraqozqqurq8GDBEiABEiABEiABEhAm0AGxUqbIQOQAAmQAAmQAAmQgEWAYsWOQAIkQAIkQAIkQAJCBChWQiAZhgRIgARIgARIgAQoVuwDJEACJEACJEACJCBEgGIlBJJhSIAESIAESIAESIBixT5AAiRAAiRAAiRAAkIEKFZCIBmGBEiABEiABEiABChW7AMkQAIkQAIkQAIkIESAYiUEkmFIgARIgARIgARIgGLFPkACJEACJEACJEACQgQoVkIgGYYESIAESIAESIAEKFbsAyRAAiRAAiRAAiQgRIBiJQSSYUiABEiABEiABEiAYsU+QAIkQAIkQAIkQAJCBChWQiAZhgRIgARIgARIgAQoVuwDJEACJEACJEACJCBEwEixmjd/Iea+sQDTJwxC40YNDmvqnr2FGDBiCnpe3Q09uneNiGLDpq3oP2wyCkb2Q6eO7YWQeQ+j2nH/xNm4tXd3DO7fM2rBktIyjJk0G2+9txgvTB1RK/X13rL4zrTz8cOPu6wAqdrO+OjEVyoRTJOlHz8+Yy6Wrlwb8b4RH2FzSqn2bdu+G+OG9kXdvFxzKhajJvb9unPH9jHvg0nTqDSsqOp/s16Zb7X8you7JF0/TGTKklKsYomXDdBNrHRuvstWrkWfgRMOy4+bINjXvuPma2vIn6r7My/+AzMmDkHbY1seFkvVb/77SyK+nsjOIXmtSDwkr+EnVrQ8JEsOdJjaN8nTOhwfVUSSqR/rvLf99B3Jc21p9fJHhrRY2cLTumWz0IdkrPtTPG03RaxMqUc8DGu7jNt7y743dP/1OSFhDqL/1Hbb47l+0omVPbLTolmTmH/9SIlVtNEkW7bCR6Xs81VCnH9dxup4qfrm9yrD8XTieMqkgljFy9TuY40a5OOjpWsijhwmWz+mWPl7J1Cs/PFK17MjzRBRrCL3iKQTKz/Te1JiFWsEQ3W8+e8txg09LrVI27Ll9ldoLLFS5b2ck2xv8nglIKh2pgLjeJmq/jmyYKY1RT55xlxEmqJJtn6cjGLlp39Lj1i5XTuI94UpfyyaUg8/OTfhXK9Lb1L1syueHNS6WNlJW/PVt6H6X9D5NOwtLHKdooj2YRI+B6yCndb+OOzcsy+0xsr5ujrnF82bRp12c7PyWKAj3eDtYX9neaeA+enI4aNp4XHd5sDdzvUyV+7nGm5s3Ljb153+4uuu60aceQ6/KV54zuk1pmQfGtbXda2dG2/FesvW7dbat0h58Jo/N3Z22UdG9sOogpmw+7UXzuH1cdbdWT4a02jrb5yjUIp/pHVJXjnY9dbpx9HeU255dHvfeq2vRN6cdbLvNc6pf7flA+GcIomMc+2cau+RjRui9dHNXUfBw/uz177mFI1Y96d47x/RhCZWP/dz73EyU33Kvje4fc6o172yihY72vvWrV9E+gyz/+AJXybite+H96N//POj0FooZ1/z20/c2q3aq+I2adzQWsNs9/lY/SfW52YqvV6rYhVJWiLdICNNA9q/37x1ew0Zc/uL2+9ftX7WQKiOEeuvIi9/EUabgnF2PnXupOlzcEOPS0JrttzKu/0uVl3ta3m9RqwPR7cvJET6KzySWClRCZ92dctxpP6g+tt7Hy7H7TdeHXVU0K2POH8X6Rpua5e8crb5eb1WPCNWzjVTkUalYtVZuh/H6jvq9fAvqrhdP1F5cxvBdluL5sbWWW+3dtjlwv9giPaedt73vN7j3HIcKa869w+360R7/4SLvtd7jxf+sfp0pD7oJbYq67Vf+BUrL30/XGqcf+B4ZR2p/bGmAsP/mPByX0glgYrUlloVK68fqnbl3YxevRbp9xJTgX47SqwFxV7jxfOhGZ5kJ5NI9VJvuoWLV+I33Tr77u+RuLsFitQer30g0k3RTba9MI52jvODyY98RBs1ifZN1/A+rr4gEWn0J3zaLp4+4mx3JIk3pR/7udknIm+RliK4ffhE6gufr/sOdfPqWH8IRcqH2xpS53sl1n3POXrmZOlHrHTuH27X0a27s3y0kb+S0gM4td1xMf/ojdTXvMT20y/8iJVbndz6WrT7mS5ripXvj0bUmljFGh72M7oR6QZWm2IVaYsHLx/6Ko1+PzRjDRmHD4V7+QZSJDlyTqHFmkq14wQtVuo69hcFvKxF8SNWkeruJiXRxCrat0FjcXK7lt8+Ekmi3FjEWssYVD+ONWpgb9Vhnxc+quNkH0TeIrU70oeder9Em25yxosmtM5+Hamfe/2Cjx+x0rl/uF3Hb91j3d/sP36ifcs10mdOpGlC+z7pJXakvhapX7h9vsUSoGh9P9b9zG2bDr/9xLm9kVtf9Xpf8K8qyVWi1sQq2g3ErZNGsuZo02ZSYqVujl5lJNEfSDaXnbv31lgr5vYmdbuBxPq6verOfq4R7a8+P7Ls7AOxRqxssVL/V/uBhYtWJEmMJDrOD+hoUytez/V6w/FzLb9iFWm9hJukJLofR7tt2tOr4RLlZYTID0uvQhzpvEj3JzchCG+Hs19E+8JAuIzY/VztexfpiLV/nh+xCr8PhK+H9XP/sEdbI62bCm+HXXc/9x639WzhDOKdClT1ihXbT7/wM2Llte9Hur/4Ye1ndFidS7GKfNeqNbGKdCOKNFoTbdop0l8/EmLld/F6oqdQIr2hvEzT2TeLWAs4da4RayRGaiqQI1aHb6TrfNtHuvm7/XGS6H4ca6TKOa3lRayCGrFy+wMh2v3Mblv4h5z9h1qkESu3EW+vI1Ze/7b3K1bOuF7vH35GrJzX0Ln3OKVER6zc3ktqs0xbkoMYsYr0HvQ7FehlBD9an+FUoNd31KHzak2soo00uXVS1TnU4baDeaQ3n5tY+f0rX11TXTvapp3h65RivXm9CI+fxeuRPizd1ljZaw3Cu0m0v+rt87xeI1r3izYV6PattHhHrNQ34qL99WavJ4sl6uF1klpj5WUq0M+1/PTlWP3SHlmxP/BjnS/djyP1nVg8wqcnglpjFZ43P/X514Kl6NqlY41d0p0fls6+Go278wPS6yhorJGI8HV70aaj4r1/6Aic13vPwsWroEbPwp/U4byu16kvJy8vsf30C6+yKBHTHqjwcu+J1U+8TAV6uS/415TkK1FrYhU+vBo+zeY2nx1rWsLtjRtpTUC0ofZI6XP7S9M+144XPuQcTVZijQSouF7++nVe341h+Pont+vG+vD0e414xMotH/aHfPg0g9epQCVWbt+Ccd5UY61lccqeU679ftPGz4eg12v5EatY/T7SqEKkrRh0+nGk6R23/hPrvR1tjZXbH0W6eYv27Tw1LRerPs5+4NYvIv3OuV7LrsuKz9cftmWMiqGOaI/8cmMbKa869w+363itu1u/tX8Xfn9zY+ZW1ssfkl5GzZyx/fSLaN8yDG+Tn74f7f7ilbWEWHm5LySfJvmvca2KVbhc2VVXgtKmVYsazwr08gESLlIqlvpQHtK/Z2gjxPBnBYave/C6+NqtrnadneuvYn2IOefrneX9fAhHYqj2elKbQIbvieK2TiDSHlDOruQsq/Lkdo1IXTBaDsPzocqrOqkjfMrFj1jZdbCnAuyfnVOekfIQbb1NrH1gvK7VifVWdTJxm6718r5Q14kkE846eB3xcQp3pPdBrJHk8EdhROPh9t629wmLNmJlx/TC0k/enOtW1D3E3mw1vD5u61uca5IiMXJ7T2zcsi3inm/OL5XEs/YpVl7jvX9E+wPO2U773h3+nFiv9x7n+93t3u7MSaxlEJHuJV5iR+oXfu7ZXvu+l88ML6yj/XHjZcTKrW1e1yfHuicm0+u1LlaxYMU7fBsrbpCv+5nKc9bD6yhSkPVnbBIIFzL1b78P/o31YaozNWFidmKNqptYZ9YpeAJ+Zh+Crw2vkCgCxotVst6w4h0SjWeoOlGdhddJPwLS/TgZ/1ByG9lTo7Xho+C6C4TTr2elR4spVumRZ2crjRerZL5h2UOvsb72HD46oNZppOPQaXq+/ZKj1ZL9WIna6IKZGD+yX+hJAclB4VAtnVNO6hUv7/Fkayfrq0+AYqXPMBkjGC9WyQiVdSYBEiABEiABEkhPAhSr9Mw7W00CJEACJEACJBAAAYpVAFAZkgRIgARIgARIID0JUKzSM+9sNQmQAAmQAAmQQAAEKFYBQGVIEiABEiABEiCB9CRAsUrPvLPVJEACJEACJEACARCgWAUAlSFJgARIgARIgATSkwDFKj3zzlaTAAmQAAmQAAkEQIBiFQBUhiQBEiABEiABEkhPAhSr9Mw7W00CJEACJEACJBAAAYpVAFAZkgRIgARIgARIID0JUKzSM+9sNQmQAAmQAAmQQAAEKFYBQGVIEiABEiABEiCB9CRAsUrPvLPVJEACJEACJEACARCgWAUAlSFJgARIgARIgATSkwDFKj3zzlaTAAmQAAmQAAkEQIBiFQBUhiQBEiABEiABEkhPAhSr9Mw7W00CJEACJEACJBAAAYpVAFAZkgRIgARIgARIID0JUKzSM+9sNQmQAAmQAAmQQAAEKFYBQGVIEiABEiABEiCB9CRAsUrPvLPVJEACJEACJEACARCgWAUAlSFJgARIgARIgATSkwDFKj3zzlaTAAmQAAmQAAkEQIBiFQBUhiQBEiABEiABEkhPAhSr9Mw7W00CJEACJEACJBAAAYpVAFAZkgRIgARIgARIID0JUKw08751V4lmBBaXINCkQS6KD1SitKxSIhxjaBJo2bQu+N7QhChUvE5OJurXzcGufQeEIjJMvATU+4JH6hOgWGnmmB8emgCFilOshEAKhaFYCYEUCEOxEoAoFIJiJQTS8DAUK80EUaw0AQoVp1gJgRQKQ7ESAikQhmIlAFEoBMVKCKThYShWmgmiWGkCFCpOsRICKRSGYiUEUiAMxUoAolAIipUQSMPDUKw0E0Sx0gQoVJxiJQRSKAzFSgikQBiKlQBEoRAUKyGQhoehWGkmiGKlCVCoOMVKCKRQGIqVEEiBMBQrAYhCIShWQiAND0Ox0kwQxUoToFBxipUQSKEwFCshkAJhKFYCEIVCUKyEQBoehmKlmSCKlSZAoeIUKyGQQmEoVkIgBcJQrAQgCoWgWAmBNDwMxUozQRQrTYBCxSlWQiCFwlCshEAKhKFYCUAUChGPWD0+Yy5mvTK/Rg1u7d0dg/v3FKqV2WE2bNqK/sMm44cfdx1W0RemjrB+N7JgJmZMHIK2x7bEvPkLsXj5lxg3tC/q5uXWSuMoVprYKVaaAIWKU6yEQAqFoVgJgRQIQ7ESgCgUwo9Y7dlbiAEjpqB1y2Y1JKGktAxjJs3G9Vd3Q6eO7YVqZm4YW6wKRvbz1F6Klbm59FwzipVnVIGeSLEKFK/v4BQr38gCK0CxCgytp8AZxUWoP/NZ5Cz+GHnvvO2pjDpJjVRt27476siLLV9D+vcMSYctXl3OPhk9unfFspVrMXnGXKhz1MiOGvm5f+B/Y8War2GfY1dKSczogpkYP7KfNfpj18MeMftF86ahkSG3htjXmj5hEBo3ahA6RbVFHWqUza7fW+8tDr3+0LC+Vl3djlhiFX7Nb777D/oMnFAjjB3bvq56MejRLI5Yee7m7idSrDQBChWnWAmBFApDsRICKRCGYiUAMY4Qmfv2If/5mch/eioyd/88jVVd7SmSLUw9r+4WUThUIK9ipWTjyou71BAKt5Ed5+/ChUhdT0lM+LSbszFu9XH+zhlTvf78nLcx4ObrXKfu/IiVkrlII1YUK09dz4yTKFZm5IFiZUYe7FpQrMzJB8UqsbmwhGr6k8ifMQ3q3+ooO+c87HvgQRzZ/WJPlYklE3YQr2KlRqyco0jOazinGNXrk56Zg4JR/UKjT87RMLfGOEfalIy9+sYCS+rUoaYxnSNl0aBEWmNlrzNzjpJxKtBTFzP7JIqVGfmhWJmRB4qVWXlQtaFYJSYn0YRKiZU6vK6xSoRYqfqEjx45BUX97JxWs0nGmrqzpxNbNj/yMJFS4nP/xNlWKOcomlumYrGgWCWmfyf0KhSrhOKOeDGKlRl5oFiZlQeKVfD5cBOqAxddgsL7RlgjVeGHV7GSngp0G7FS9QqXEjUdpw7724aR1kvFIho+qnXGKScctmbLLu9VsChWsYin4OsUKzOSSrEyIw8UK7PyQLEKLh+RhGrf6LEo73iW64W9ipU9mhRp8bqSHnWccNzR1jcHvSxed04FqvK2wN3yX5fj+f/3zxpx3Baye6VpT8edfnJbrP5yQ9TF4rEEzq9YhU89crsFrxkz7DyKlRkJoViZkQeKlVl5oFjJ5yNzzx7k//npGmuo1AhVNKEKf194rVGk7RbskR61h9Op7Y+3ptpaNGsSGmmyX7en62KJi32+c1rOHnnavHV7jfVZ6vxWLZtF3frArvuar76Fqqe9LYT6fcGTL2PkPTeE1m3FWhMVj1i5LbDn4nWvPc+A8yhWBiQBAMXKjDxQrMzKA8VKLh+WUD01GfVn/RkZRfutwF6FKh6xsss4Nwh1bnkQLjGqzMi7b7BGiZzbLbiNWKnzbXG54+ZrXb+B6Lz+aR2OP2whvBtlVW7pyrWHnes3nl+xskf77C0iuN2C3HsgYZEoVglDHfVCFCsz8kCxMisPFCv9fEgIlY5Y6beAERJNgPtYaRKnWGkCFCpOsRICKRSG2y0IgRQIw28FxgfRTahKr7gKhUNGRFxDFetKftZYxYrF180lQLHSzA3FShOgUHGKlRBIoTAUKyGQAmEoVv4gRhSqUWNQ3uEUf8EcZ1OstPAlTWGKlWaqKFaaAIWKU6yEQAqFoVgJgRQIQ7HyBjFzx3ZrY8/wNVTWCJWAUNk1oFh5y0Wyn0Wx0swgxUoToFBxipUQSKEwFCshkAJhKFbRISqhqj9lEvJfnIWMA6XWydJCRbES6MhJFIJipZksipUmQKHiFCshkEJhKFZCIAXCUKzcIR4mVJmZKLmmB/YPGa495RcpbRyxEujQSRCCYqWZJIqVJkCh4hQrIZBCYShWQiAFwlCsakKMJFSFI+5HxQknChA/GKKwrBAlFUUoKt+P4vJilFaU4OpTuonFZyBzCVCsNHNDsdIEKFScYiUEUigMxUoIpEAYitVBiPEI1fbibfhmz9f4evdX2F60zZKl4p9FqdiSpiIUlxf9LFAH/60k6kDlwSlF51E9plogowxhOgGKlWaGKFaaAIWKU6yEQAqFoVgJgRQIk+5ilbX1P8ifNvXQGqqfp/ycI1RrdqzE0h8+xhfbV2P9T+uwfvdaFJbtizsD9bLzkZ+Tj7o5+aiXXQ8Nchtiaf9FccdjweQhkBZiFf6wR5Ua55O5nTvXhm/Br86P9rBIipUZnZ1iZUYe7FpQrMzJR7qKlRKq+pMnoN4rf0VGWRngEKrl25ZgydZF+OQ/C7F068fYX35wN/XwQ8nRSU074ITGJ+G4I06wREn9rl5OfdTLqYf6OQ1QN7su6uWq39mv1bPOcTvSYY2V2lldHfbDnNW/I+3CbjOKtfu7Oe8mbzVJebFSzwea/uLruKXXFdaziWyJsh9aGf4k7h7du1rb+48umInxI/uh7bEtazz9W5V3dhqKlbeOFvRZFKugCfuLT7HyxyvIs9NNrA4TqqwsFF/fCx/1/jXeq7MZi77/Pyz7YfFh03VN845E56PPR+dfnIt2TU6xZOroBq1EU5MqYmWL0A8/7grxsQck1ECEOtTnqTqcD0V2fgaHy9WkZ+agYFS/0HMEReEnMFjKi5WTpZtIhSfT+boSqTatWtToJJNnzA09/4hilcDeGuVSFCsz8mDXgmJlTj7SRaycQlWdmYml3TpgwsV5mF/5OcqqDtRIyi/qH40uLc9Hl6MvRJeWF1oiFfSRCmKlRKnPwAmHPVz5+TlvY8DN1+Ht9xeHxMr+PL3+6m41HsQ8YMQU2IMb4cydUhZ0PoKKn3Zi5Xygo9uTv+1RKdVJ1JPD7YdZqiQ4R7QoVkF1TX9xKVb+eAV9NsUqaMLe46e6WGVt3oj6T0xG3b/9BZnl5ajKzMBLpwNju1XjuyMOcWrd8Dic2/ICdDlGidT5UD8n+kh2sXIOPMTipz4vnaNQzocwhy/NUee/PO9dDB3QC3XzcmOFN/b1tBGr8HVU4Yl0DlOqTDnFKty2nWL1U1G5sclNp4rl52WjrLwK5ZVV6dRsY9t6RH4O+N4wIz05WRmok5OF/aUVZlRIqBbF69eg+P5BOH7+h8isqkZlJiyhGtcNllCd1KQ9zjvmQlzQuisubNUNzfKbC105/jDqfeH3ePPrN/0W0T4/NysXl7W97LA4zs+/WBdSn68fLlldY71VpKlAFUu9NvKRmRh6Ry9rKU6yHmkjVnaCnMatO2JVnGI3q2TtyOqv8gp1c63k15lNyGG9vGzwvWFCJtSa7QzkZGfiQFmlGRXSqEVJRQkWLJiFRo9OxkWLvkdWFUJCNenSejjujItx2QlX4Iq2V6JlffM+mNX7ws+xs3gnjpp0lJ8iIuceVe8obB+63VWs/KyDcpvaiyZW6vN50vQ5uKHHJRQrkUwmMIhK9sYt2yyLdg5Vco1VAhMheClOBQrCFAjFqUABiEIhkn0qsLK6Egu3vIePPnwOF7zwT/RaVWEJVVkWMO+cI/D5zb/F6edcb03vZWf6HxESwuwpjN+pwH0H9uHGeTd6ii15UsM6DfFSj5e0R6woVpJZMSiWsmN7UZ2as7VtuefV3awF6fxWoEHJ0qgKxUoDXgBFKVYBQI0zZLKKldoOYd66OVi9ZC7ueWcPblwNS6jKszKw5NLTkT36UbTucPCbZ8ly+BUr09rld42V36lAjliZlvEo9Ym2WE4V4z5WSZTMCFWlWJmVQ4qVOflIJrH69qf1ePWrl/H613NRd+NGjPwQIaGqyM7Elt92R937H0dVy2PMAeyjJskuVqqpsb4VGL7o3G3xejQ54+J1H50plU/ltwLNyC7Fyow82LWgWJmTD9PF6seiH/D3r+di3rpX8MXO1Wi3Cxj3AXD9F0BmNVCVk43i3jeh6L5RqGx5tDlg46hJKoiVana0fazCsbhttxAuZ+rf4V8m43YLcXSqVCxCsTIjqxQrM/JAsTIrD6o2JoqV2uX8jfWvWVN9i/5zcEPJQ0KVgczqalTn5KL4Dzdh/5ARSS9U4e8L83pIsDVy++a92xXdRreCrVlw0dPuW4HSKClW0kTji0exio9bUKU4YhUUWf9xTRKrFduW4oU1M/DmN38P7XyuhOrJRU1w6Yo9yFBCVScPRTffiqK7BqaMUKWzWKm285E2/t+3aV2CYmVG+ilWZuSBI1Zm5cGEESv1IGM1MvXi53/Gul1fhgB1Kz0aUxY1QseP1gJVVSGh2j9oKKqOamYeSIEapcpUoACKlA7BESvN9FKsNAEKFadYCYEUCsMRKyGQAmFqa8Rq2bZP8PLns/HG+nkorSyxWqK2Q7g9+0IMW1COY9/9OG2EKt1HrAS6cVKFoFhppotipQlQqDjFSgikUBiKlRBIgTCJFKviiiLM+fJFPL96BtQ3/OxDPcx4eP61uHne12j4zjvWr+0pv1QeoXKmjyNWAh06CUJQrDSTRLHSBChUnGIlBFIoDMVKCKRAmESI1db932PWqqfx189noah8f6jW1554Pfrn/AoXPf9P5L198NEs6ShUHLES6MhJFIJipZksipUmQKHiFCshkEJhKFZCIAXCBClWi7d+iOdWPYO3N/wjVNOj6jbDrR3vRJ/MLjj28acOCVV+fey/9XYUDbgnZddQxUoXR6xiEUqN1ylWmnmkWGkCFCpOsRICKRSGYiUEUiCMtFiVV5bh9fWvYubKp6x9p+zjjGZno1/Hu9GjvB0aTxh/uFDdPQRVjRsLtCh5Q1Cskjd3fmpOsfJDy+VcipUmQKHiFCshkEJhKFZCIAXCSInV7tJdeH7VdPzl85nYWbLDqll2ZjauOP5a9Ot4F7psy0GDyRMoVFFyRrES6NBJEIJipZkkipUmQKHiFCshkEJhKFZCIAXC6IrV2t1fYPqKKfjH+tegRqvU0ajOEbjhlL647Yw7ccz6H9Bw/FjU+eBd67Vqe8qPI1SHZS+VxUrtVaWOwf17CvTaYEKoTUhHF8zE+JH90PbYlsFcBFD7sVVXBxY9DQJTrMxIMsXKjDzYtaBYmZOPeMSqqroK//r2DcxcOQ1Lfvg41JgTG7fDrWfciZ4dbkT9NV/WEKqqhg1R1P8uFN1+Z9pP+UXKfrKLVbTn/JkkVurROPdPnF0jDad1OB7D7uyNidP+FhKroOpMsdK8/1GsNAEKFadYCYEUCkOxEgIpEMaPWBWWFeJvX87G7FXT8X3hZuvqGcjAr1pfgn5n3o1urS5BzsoV7kKlFqU3bChQ49QNkcpiZVLWlFgtXv4lxg3ti/CHQjvrSLEyKWthdaFYmZEYipUZeeCIlVl5ULXxIlab932HGZ89iblfvQS1F5U66mbXw/Xtb8DtZ96N4xqdQKESSG0qi1W4pOzZW4gBI6bgqkvOxQtz/4kfftyFKy/uUkN01DME+wycYFFVo0nTJwxC40YNrJ9VrFmvzLf+/YvmTTFj4hBr6s6eyrvq0vNQ8NTLh5WzUxRJrMKnAnfv2Re6virnrJ9OujlipUMPAMVKE6BQcYqVEEihMByxEgIpECaaWC3c8r717b4PNr2DahxcFaI28+xz2h9x06m3oUFuA+QuWYQGj00IraEKTflxhMp3duISqzcP7v+V0CM3F7jsssMu6XUq0Bar1i2bWTKljjGTZqPL2SejR/euUFI1smBmSJiUCG3css1an6XKzn9vMW7ocWlIsrZt323F2frjTvRFLZmCAAAgAElEQVQfNhndf31O1LVcXsRKiRpHrBLaq7xfjGLlnVWQZ1KsgqTrPzbFyj+zoEo4xepAZSleW/s3PLdqGr7evTZ02V+26IJ+Z95lfcsvKyPLEqqGDz5g/V8dFCr9DPkWq507gaOO0r+w3wjqmtu3a4vVkP490alj+5AgtWnVwhIrp9CokaRJz8xBwah+oVEr++JKwibPmGuNaO3+qdDT4nO3NVYvTB2BJo0b1ihPsfLbMRJ0PsUqQaBjXIZiZUYe7FpQrMzJhy1Wa7dtxsxV0/DyF7PxU+keq4Lq2X1Xn9ADA84ahFOOPN363WFC1aQpiu4ciKJb+nENlWZafYvVvn3AjTdqXjWO4mqt3EsvBSpW9lSffZHw6cDwaUL1uv2aH7FyW2Pl/FYgxSqOvpGIIhSrRFCOfQ2KVWxGiTyDYpVI2tGvtWbnp9bo1Ovr5qGiqsI6uUleU2uqr+8Zd+DIugdHRCIJ1f5+f0R1vXxzGpTENfEtVoa11e9UYLQRK3v0ytlE5zRhvCNWFCvDOo+f6lCs/NAK7lyKVXBs44lMsYqHmlwZJVBvbphnbZew8sdPQ4HbNzkFt515F37XrhdyM+tYv6/z0ULUnzgedRZ9aP1c9fMIFYVKLh92JIrVwalApzwpPi/P+ze6X9wF33z3n9DUn1rMrqb15r6xwPdUoBex8vrtQb89gYvX/RJznE+x0gQoVJxiJQRSKAzFSgikzzD7y/fjhdXP4rmV07Cj5NAamWvb/RZ/6NAPFxzTLRQx7713LKHKXb6MQuWTc7ynp4pYvfXe4hoIbu3dPfSzvQBdfSsw0oiVOtk53adiqLL2qJh9jQs6n4a9hUWBiJW9yH7NV9/yW4HxduogylGsgqDqPybFyj+zIEtQrIKke3jsfQf2YsZnT2DW6qeh9qJSh9ouoffJfXB354Ho0Kwtdu07YP2eQpXY3IRfLdnFqvbIJdeVOWKlmS+KlSZAoeIUKyGQQmEoVkIgY4TZVboT05c/jhfW/BklFcXW2Ve0vRZdW/0aPdr1Rv2c+qF9rIr+/kaNEarKZs1RdO8QFN10C9dQJSZdoFglCHQtX4ZipZkAipUmQKHiFCshkEJhKFZCICOE2V68DdM+nWx9w6+0sgSZGZm4+oTfYWCnkTipycGvt9tHgwX/Rv7E8chcutT6VUio+tyG6jp5wVaU0WsQoFilR4egWGnmmWKlCVCoOMVKCKRQGIqVEEhHmP8UbsGTn060dkgvqzqA7Mxs/Pak/8LATiPQplHbGmc7p/woVMHkxE9UipUfWsl7LsVKM3cUK02AQsUpVkIghcJQrIRA/hxm494NeOLTRzFv3Rxry4ScrFz8V/ubcM8vh1k7pYcfdd/6X9Sf9AhyPl9t/bqqeXNUDxuO7b36cIRKNi2+o1GsfCNLygIUK820Uaw0AQoVp1gJgRQKQ7GSAbnhp/WYsnQ8/v713FDAW0+/E3eePRjN838RVajsEaqK225HfuMGocXrMjVjlHgIUKzioZZ8ZShWmjmjWGkCFCpOsRICKRSGYqUHUgnVpMUP4q0Nf0dVdRXyc+rjv0+9DQPOHoymeUdGF6pjWmH/wKEo7n2jNULl5SHMerVlaa8EKFZeSSX3eRQrzfxRrDQBChWnWAmBFApDsYoPpHp236QlD+LtDf+wHoqsvtV3y+kDcMdZg9GwTiNvQnXDzajOyQmdS7GKLxdBlKJYBUHVvJgUK82cUKw0AQoVp1gJgRQKQ7HyB3Lt7i8wafFD+Ne3b1hC1SC3Afqefgf+eObAmkJVVYW6b79ZYw1VpT1C5RAquwYUK3+5CPJsilWQdM2JTbHSzAXFShOgUHGKlRBIoTAUK28glVA9+slYvPPdW1YBNSp12+l34vYz70GD3IaHgiihev01NHisANlfr7N+H0uoKFbecpDIsyhWiaRde9eiWGmyp1hpAhQqTrESAikUhmIVHeTnO1dZa6je3fi2dWKjOkegX8e7rf/U9F/o0BAqipVQZxYMQ7EShGlwKIqVZnIoVpoAhYpTrIRACoWhWLmDXLV9hSVUH2x+xzrhiLzG6H/mvda0XyyhqmhzPPYPGY6S3/eqsYYqVso4FRiLUOJep1gljnVtXolipUmfYqUJUKg4xUoIpFAYilVNkEqoHl08Bv+3+T3rhSZ5TQ8K1RkDUC87P+oIlS1UxT3/AGRl+c4Qxco3ssAKUKwCQ2tUYIqVZjooVpoAhYpTrIRACoWhWB0EuWLbUkxcMg4fbvnA+lltlfDHswahz+m31xSqykrU/cf/1FhDpStUdiopVkKdWiAMxUoAYhKEoFhpJolipQlQqDjFSgikUJh0F6vFWz/E5CXjseg/Cy2iR9Y9CgPOGmwJVV5W3UOUKytRb+7fUH/yo8je+K31eymholgJdWbBMBQrQZgGh6JYaSaHYqUJUKg4xUoIpFCYdBWrj7//P0xeOh5Ltn5kkTyqXnNrl/T/PrUf6mSFPfDYTahOaofC+0ai5NrfxTXlFyl1HLES6tQCYShWAhCTIATFSjNJFCtNgELFKVZCIIXCpJtYLdzyPqYsfQRLf1hkEWxWrwXu+uUQ3HjKrd6F6rrfA5mZQhk4FIZiJY407oAUq7jRJVVBipVmuihWmgCFilOshEAKhUkXsVqw5V08vmQ8lm9bYpFrkd8Sd519H2449RbkZtY5RDPaCFVAQmVfnGIl1KkFwlCsBCAmQQiKlWaSKFaaAIWKU6yEQAqFSXWxen/Tv/D40kfw2Y/LLGIt6x9zUKhOuQXZmYceJ5NRXo66r82puYbKnvILWKgoVkKdWTAMxUoQpsGhKFaayaFYaQIUKk6xEgIpFCZVxerfG+dbU35q+wR1HN2gFe4+eyh6n3zzYUJV7+UXUX/qJGR9v8U6tyLBQkWxEurMgmEoVoIwDQ5FsdJMDsVKE6BQcYqVEEihMKkmVv/67k1LqNbsWGkRatXwWNzzy2Ho2f4mZGdmh6ipESqnUJWfejr2Dx2FkiuuCmQNVayUcSowFqHEvU6xShzr2rwSxUqTPsVKE6BQcYqVEEihMKkiVm9v+AemLCvAFztXW2RaNzwO93Qahuvb3eBdqK68RohqfGEoVvFxC6IUxSoIqubFpFhp5oRipQlQqDjFSgikUJhkFqtqVGP+htfx+JJHoB6SrI42jdri3k7D8bt2vZGVcWj384wDpaj3yks1pvxCI1S1LFR2KilWQp1aIAzFSgBiEoSgWGkmiWKlCVCoOMVKCKRQmGQUq6rqKry5YR6mLC3A17u/skgcf8SJuPeXw9GjXS9kZhzaCkEJVf4LzyH/icnI2v6jda5pQkWxEurMgmEoVoIwDQ5FsdJMDsVKE6BQcYqVEEihMMkkVkqo/rH+NTyxrADr96yzCJzQ+CQM7DQS1554fdIKFcVKqDMLhqFYCcI0OBTFSjM5FCtNgELFKVZCIIXCJINYKaF6/eu5mLqsABt+Wm+1/KQm7XFvpxG45oTfxxSqsrM7Yf+w0Si9+DIhasGE4VRgMFzjiUqxioda8pWhWGnmjGKlCVCoOMVKCKRQGJPFqrK6EvPWzcETyx7Fd3u/sVrcrunJGNRpJK46oQcykBGi4DbllyxCxREroc4sGIZiJQjT4FAUK83kUKw0AQoVp1gJgRQKY6JYKaF6de3LeHLZRGzad/CBxx2anopBnUeie9vragpVcRHy//p8jTVUySZUFCuhziwYhmIlCNPgUBQrzeRQrDQBChWnWAmBFApjklhVVFXg1bUvWUK1uXCj1cJTjjwdgzuPwuXH19wKIaO4CPVnPov8p6cic/cu69xkFSqKlVBnFgxDsRKEaXAoipVmcihWmgCFilOshEAKhTFBrCqqyjHnq7/gqU8n4fvCzVbLTjuqIwZ1HoXfHHdVjZamolBRrIQ6s2AYipUgTINDpYVYPT5jLma9Mj+UhoeG9UWP7l1DP+/ZW4gBI6ZgzVcHpwdemDoCnTq2D70+b/5C3D9xtvXzlRd3wbihfVE3L9f6mWJlRu+mWJmRB7sWtSlWSqhe/uJ5TFv+GLbu/96q0hnNzsLgzqNxSZsrYgrVgfMutBalH7jg0D3CLLr+asPF6/54BXk2xSpIuubETnmxKiktw/QXX8ctva5A40YNsGHTVvQfNhkFI/tZ8qReHzNpNrqcfbIlW+r10QUzMX5kP7Q9tiWWrVyLyTPmYvqEQVZ5JWnqGNy/J8XKnH4MipVByVAPJW5aN+F/dJRVHcDLnx8Uqm1FWy0gZzbvZE35/frY38QUqrJzzsO+Bx6E+n8qHRQrc7JJsTInF0HWJOXFygnPTaQmPTMHBaP6WeLkfF2JVJtWLUIjXE7R4ohVkN3Te2yKlXdWiTgzkWJ1oLIUL30xC08vfxw/Fv1gNe/sFudg8Dmj0a3VJTWam7lvH/Kfn1lzDVWKCpXdcIpVInq8t2tQrLxxSvaz0k6s7Gm/If17WiNWTlFSCbVHpQbcfF2N0Sz1mnNEi2JlxluAYmVGHuxaJEKslFD95fOZllDtKD64+3mnFudaQtW11a8PF6rpTyJ/xjQouVJHqo5QOXsCxcqc9wbFypxcBFmTtBMr51SeEqtX31hQY92UU6yuv7pbaM2VU6x2F5YFmR/G9kigQd1sHCivQllFlccSPC1IAkp0g3pvlFaUYNbKZ/Hkp5Oxs3iH1Yxzj7kAw8+9Hxe26lajWRn79iJv2pPIe+YpqH+ro+Lc81A8drz1/3Q4crIzkJebjcLi8nRortFtVO8LHqlPIK3ESgnTtu27a0iU7ohVaVll6veSJGhhTnYmKquqUVVVnQS1Tf0q5uVmQfq9UVRehGeXP4Opix/HzpKDQtW19a8w+sIHrP+HHxl79yLryanIeupJqH+ro+rSy1AxajSqzjs/9RMQ1sLMjAxkZ2Xwjw4Dsq7eFzxSn0DaiJWbVKn0qhEorrFK/o7OqUCzcig5FVhcUYTZq6bj2c+mYk/pbquhFxzTDcO7jMVZLTrXaLi1hsox5Xfgokuwb/RYlHc8yyxICaoNpwITBNrDZTgV6AFSCpySFmLlnP4Lzxu/FZgCvRjgtwINS6OEWO0v349Zq57Gn1c+iZ9K9xwcoWr1aww954HDhWrPHuT/+ekaa6jSXajsLkGxMufNQbEyJxdB1iTlxcq5R5UNM3w/Ku5jFWQXS0xsjlglhrPXq+iIVWHZPsxcNQ0zVz6FfQcOTuN1a30phnUZY+1HFX5kKqF6ajLqz/ozMor2Wy9RqGpmiWLltdcGfx7FKnjGJlwh5cUqaMj8VmDQhL3Fp1h545Sos+IRKyVUMz57As+tehrq3+pQ+08NP3csTj3yjJhCVXrFVSgcMiJtp/wi5ZZilaheH/s6FKvYjFLhjEDFKnzHcics5+7nyQqTYmVG5ihWZuTBroUfsSosK8SzK6ZYo1RF5QdHna5oey0GdhrhXahGjUF5h1PMgmBIbShWhiTi541zzakNaxIUgUDEyn6EzGkdjg/tWB7egPCpt1t7dw/tYh5UI4OMS7EKkq732BQr76wScaZXsXr2syfw1PKJoTVU6hl+Q875k/WQ5PDDbcrPGqGiUMVMJ8UqJqKEncARq4ShrtULiYqVLUytWzarsaVBpBbaC8c3b93uKmC1SsbjxSlWHkEFfBrFKmDAPsPHEqsX1szAE8sexfbibVbki4+93JryO0yodmy3vuUXvoaKQuUvGRQrf7yCPJtiFSRdc2KLi5V6kHHXLjXXQ8Rq7sLFq6BGt9QjZZLtoFiZkTGKlRl5sGvhJlbVqMbrX7+KSYsfxKZ9Bx94rhajj71wIjr/ouZmnZk7tqP+lEnIf3EWMg6UWudSqOLLMcUqPm5BlKJYBUHVvJiiYhXePDV6NfKRmRh6Ry/rYcbhh9tu5+ah8VYjipU3TkGfRbEKmrC/+E6xenfj25jwyRh8tetzK1D7JqdYI1SXHXdljcCHCVVmJkqu6YH9Q4ZzDZW/FITOpljFCS6AYhSrAKAaGLJWxMq5KaeBXDxXiWLlGVWgJ1KsAsXrO7gtViu2LcWfFg7Gqu0rrBitGx6Hoefcj9+2+y9kICMUN5JQFY64HxUnnOj7+ixwiADFypzeQLEyJxdB1qRWxEp9W3Dx8i89rcMKsvESsSlWEhT1Y1Cs9BlKRthV+Q3ueWsIFmz+txX2qHrNMajTSNxwyi3IzswJXSpr63+QP23qoSm/n0eoKFRy2aBYybHUjUSx0iWYHOXFxUqNRvUfNhk//LgrIoFfNG+KGROHHDZFmBzIataSYmVG1ihWZuRh494NmPDJWLz5zTyoNVWN6hyBO88agls73oG8rLo1hKr+5Amo98pfkVFWBlCoAksgxSowtL4DU6x8I0vKAuJiZVOItsYqKUlFqDTFyoxsUqxqNw/birbiscUP4ZWvXrQqkpedh9vOuMuSqoZ1GlGoajE9FKtahO+4NMXKnFwEWZPAxCrISpsUm2JlRjYoVrWTh50lO6xtE176fBbKqg5Y03w3ntIXj/7mQVSUHvqWr5ryqzFClZWF4ut7Yf/AYVxDFXDqKFYBA/YRnmLlA1YSn0qx0kwexUoToFBxipUQSI9h1DP8pq14DLNXTUdJRTGyMrLQo10v6wHJRzdoBXvxeiShKhw2GpWt23i8Gk/TIUCx0qEnW5ZiJcvT1GiiYqWm/7iPlampTu16UawSk1/1yBn16JlnV0y1nuenvtl3ZdvfYti5Y9D2iEPf3mu5bxuKxo0/tIbq5xEqClVi8hR+FYpV4plHuiLFypxcBFkTcbEaMGIKuPN6kCljbDcCFKtg+4Wa5nt+9bOY9ulj2F168Isp6gHJo89/2NqTyj6yNm9Eg4njUe/VOUBlJUChCjYxHqJTrDxAStApFKsEga7ly4iKld0WPiuwlrOahpenWAWT9Iqqcrzy5YuYsqwAPxb9YF1E7ZKudktXu6ZTqILhLhmVYiVJUy8WxUqPX7KUDkSs7MarHdb7DJzgyuKFqSPQqWP7ZOEUsZ5cY2VGCilWsnmoqq7CvHVzMHnJw9hcuNEKfmbzThjeZSwubHVRRKGqzs1Fce+bkD9mNLY2bCFbKUaLiwDFKi5sgRSiWAWC1biggYqVca0NoEIUqwCgxhGSYhUHNJciau+p+Rtet57nt37POuuMDk1PxbAuY2o8fsY55WcL1f4hI1DZ8ujQ4nWZWjGKDgGKlQ492bIUK1mepkajWGlmhmKlCVCoOMVKH+T7m/6FiYvHYc2OlVaw4484Efed8ydcc+LvQ4+fyf5mPepPnRhaQ+UUKrsWbg9h1q8hI8RDgGIVD7VgylCsguFqWlSKlWZGKFaaAIWKU6ziB7n0h0V46ONRUM/1U4faLmFw59G4vv0N1jYK6lBC1WDCQ6j7v/OAqipEEiqKVfx5CKokxSoosv7jUqz8M0vGEqJipbZbUN8KVFsuqOO0Dsdj+oRBaNzo0EaByQgpWp0pVmZklGLlPw+f71yF8R+PxsIt71uF1fP87uk0DDedfCtysnLjEiqKlf88BF2CYhU0Ye/xKVbeWSXzmaJilcwg4q07xSpecrLlKFbeeX69ey0mfPIA/vXdm1ahI/IaW4+e6XvGgNDz/A4boaqTh6Kbb0XRXQOtNVSxDk4FxiKUuNcpVoljHetKFKtYhFLjdYqVZh4pVpoAhYpTrGKDVN/ue3TRWPzvN69Bfeuvfk599Ot4N/qfORANcg+OKkcSqv2DhqLqqGaxL/LzGRQrz6gCP5FiFThizxegWHlGldQnBiJW9jYLblsqRHstGUlSrMzIGsUqch6sByQveRivrn0JFVUV1qhUn9Nvx91nD7NGq9SR89UXqD/50UNrqH4eofIrVHYtKFZmvC9ULShW5uSCYmVOLoKsSSBipTYIVcfg/j1d6x7r9SAbLB2bYiVNNL54FKvDubk9IPmGU27BwE4j0KzewT2mlFA1eGQc8t4+OC1YrSlUFKv4+m+QpShWQdL1F5ti5Y9Xsp4tLlb2AvYh/XtG3ABUjVpNnjE3JRa2U6zM6PoUq0N5cHtA8u/a98Z9ne+3vvHnKlT59bH/1ttRNOAeX1N+kbLPESsz3hccsTInD6omFCuz8hFUbQIRq5GPzMTQO3qh7bEtXeu9YdNWTHpmDgpG9Uv6bwxSrILqmv7iUqyASA9IHnneOLRp1Da6UN09BFWND04LShwUKwmKMjE4YiXDUSIKxUqCovkxxMWqpLQMYybNxvVXd4s6YvXqGwswbmhf1M07+LXuZD0oVmZkLp3FSj0g+YXVM/DUp5NCD0i++NjLMer8h0IPSD5sys8eoRIWKrs3UKzMeF9wxMqcPHDEyqxcBFkbcbFSlZ03fyE2btkWdY1Vm1Yt0KN71yDblpDYFKuEYI55kXQUK/sByVOXTYBaoK4O5wOSc1auQIPJEw6toQpYqChWMbtqwk/giFXCkUe8IEeszMlFkDUJRKzsUStV8fBRKfv3m7duT4n1Vap9FKsgu6f32OkkVpEekDzi3HG44JhuFjQlVA3Hj0WdD961fq5OkFBRrLz32USdSbFKFOnY16FYxWaUCmcEIlY2GDVydf/E2TU4PTSsb0qMVNmNoliZ8TZIB7GK9IDk4eeOxaVtursKVVXDhijqfxeKbr9TdA1VrKxzKjAWocS9TrFKHOtYV6JYxSKUGq8HKlapgSh6KyhWZmQ51cXqg83v4NFPxtZ4QPLQLvfj6hN+Zz0g2TlCFRIq9S2/hg0TniSKVcKRR7wgxcqcXFCszMlFkDWhWGnSpVhpAhQqnqpi5XxA8jENWmNQ51GhByTnLlmEBo9NCE351bZQcSpQqEMLhqFYCcLUDEWx0gSYJMUpVpqJolhpAhQqnmpi5faA5Ht/ORw3ntLXekCyEqqGDz5g/V8dpggVxUqoQwuGoVgJwtQMRbHSBJgkxSlWmomiWGkCFCqeKmLl/oDk+9D3jD9aj6IxXagoVkIdWjAMxUoQpmYoipUmwCQpTrHSTBTFShOgUPFkFyv1gOSJn4zFP9YfekDy7R3vwR/PGoj8nPqHC1WTpii6cyCKbulXK2uoYqWNa6xiEUrc6xSrxLGOdSWKVSxCqfE6xUozjxQrTYBCxZNVrNwekHzL6f1x19lDrQckHzZC9bNQ7e/3R1TXyxeiJx+GYiXPNN6IFKt4ycmXo1jJMzUxIsVKMysUK02AQsWTTax2l+7ClKUFeOnzWVA7p6t1U384uQ8Gdx6NI+sehTofLUT9ieNRZ9GHFqGqJBEqO50UK6GOLRCGYiUAUSgExUoIpOFhKFaaCaJYaQIUKp4sYmU/IPn5Vc+iuKIIWRlZCH9Act5771hClbt8WVIKFcVKqEMLhqFYCcLUDEWx0gSYJMUpVpqJolhpAhQqbrpYlVaWYObKaXh6+WQUlu2zWv3bk3piUOfRaHvEiUgVoaJYCXVowTAUK0GYmqEoVpoAk6Q4xUozURQrTYBCxU0VK/U8v5e+mI2pSwuwo2S71dpL2lyBkec9aD0g2SlUlc2ao+jeISi66Raj11DFShunAmMRStzrFKvEsY51JYpVLEKp8TrFSjOPFCtNgELFTRMr9fiZ17+ei4mLH8Tmfd9ZrezU4lyMuXACzmzeKbJQ9bkN1XXyhKjUXhiKVe2xd16ZYmVOLihW5uQiyJpQrDTpUqw0AQoVN0ms3t34NiZ8MgZf7frcal2Hpqdi1HkP4dfH/iblhcpOJ8VKqGMLhKFYCUAUCkGxEgJpeBiKlWaCKFaaAIWKmyBWK7YtxZiPhkH9Xx2tGx6HYV0ewHUn9US9t95A/UmPIOfz1dZroSm/FBmhcqaRYiXUsQXCUKwEIAqFoFgJgTQ8DMVKM0EUK02AQsVrU6zUbukPfzwK7236p9Wao+o2w8DOI63HzzR4++20EiqOWAl1aMEwFCtBmJqhKFaaAJOkOMVKM1EUK02AQsVrQ6y2FG7CY0sewmtr/2a1on5OfQw4ezBu73g3mv7rvZpCdUwr7B84FMW9b0yJNVSx0sYRq1iEEvc6xSpxrGNdiWIVi1BqvE6x0swjxUoToFDxRIrVrtKdmLL0EevbfuWVZaiTlYc+p/XHvZ2Go8W7C92F6oabUZ2TI9Ra88NQrMzJEcXKnFxQrMzJRZA1oVhp0qVYaQIUKp4Isdpfvh9Pf/oYZq6ahpKKYqvmvU/ug/s6jcJxC1dQqMJySbES6tgCYShWAhCFQlCshEAaHoZipZkgipUmQKHiQYqVGpV6fs2zePLTidhTutuq8eXHX4PRXcbhlAWr0OCxAmR/vc76faU95ZdmI1TONFKshDq2QBiKlQBEoRAUKyGQhoehWGkmiGKlCVCoeBBiVVVdhVfXvYzHFj+Erfu/t2rapeWFGHPeeJyz6NsaQlXR5njsHzIcJb/vlVZTfpHSR7ES6tgCYShWAhCFQlCshEAaHoZipZkgipUmQKHi0mL1z2//19qLav2egyNRpxx5OkZ3eRCXr/jJVaiKe/4ByMoSak3yh6FYmZNDipU5uaBYmZOLIGuSVmI1b/5CbNyyDYP796zBdM/eQgwYMQVrvvrW+v0LU0egU8f2oXNUufsnzrZ+vvLiLhg3tC/q5uVaP1Osguye3mNLidXirR/iwY9GYtX2FdbF1V5Uwzs/gN5fZlCovKcDFCsfsAI+lWIVMGAf4SlWPmAl8alpIVbLVq5Fn4ETrDTd2rt7DbEqKS3DmEmz0eXsk9Gje1ds2LQVowtmYvzIfmh7bEuospNnzMX0CYPQuFEDPD5jrhXHljOKlRm9X1esvti5Go98/Ccs2PKu1SC1F9WgXw7H7d8cgUaTJ4bWUNlTfhyhip53ipUZ7wtVC4qVObmgWJmTiyBrkhZiZQN0G7FSIjXpmTkoGNXPEienaCmRatOqhSVd6nCKFsUqyO7pPXa8YrVp37eYsGgs3vjmf6Ce79cgtwHu7DgIg74+Ek2mTkX2xoOjmBQq77lQZ1Ks/PEK8hsrio4AABqYSURBVGyKVZB0/cWmWPnjlaxnp71YOUVJJdIelRpw83U1RrPUa84RLYqVGV3fr1jtKNmOyUsexitfvoCKqgrkZtbBLaf0wwObjkezJ6cdEqqT2qHwvpEoufZ3XEPlI9UUKx+wAj6VYhUwYB/hKVY+YCXxqRSrlWvx6hsLaqybcorV9Vd3C625corVzn0Hkjj9qVP1hvVyUFpWhbKKyqiNKizbh6lLJ2LmZ89Ye1FlZmSiV7s/YMLW09DyqRnI+u7gCFVlu/YoHjYKB3r8HsjMTB1QCWrJkQ3rgO+NBMGOcZncrEzUrZONvcVlZlQojWuh3hc8Up8AxcqxhsrviFVZeVXq95IkaGF2VgaqqqtRFSEdpRWlePrTpzBp0aPYU7rHatF1x1+Jp3adi6Ofeh4Z326wflfdvgMqR/8JVdf3pFBp5D03JxN8b2gAFCyakQlkZWagoqJaMCpDxUNAvS94pD6BtBcrrrFKjU4eaSpQTfP9v6/+gslLx+PHoh+sxp57VBf8+cfz0WH2XGR9v8X6XYU95XcdR6gkegSnAiUoysTgVKAMR4konAqUoGh+jLQXK34r0PxO6qWGTrFSC9Hf2vB3PPrJOHz703orxKmNTsZzOy7EL/8yn0LlBarGORQrDXjCRSlWwkA1wlGsNOAlUdG0EKvw7Rbs3ITvVcV9rJKox0aoarhYLdzyPgoW3Y/VOz6zzj4uvzVmb/8VLnxlQUioyk89HfuHjkLJFVdxyi+A9FOsAoAaZ0iKVZzgAihGsQoAqoEh00KsguTObwUGSdd7bCVWizYvxegPhkNt8qmOFjlHYvbOX+HSuUuQ/Z+Dj6QJCdWV13gPzjN9E6BY+UYWWAGKVWBofQemWPlGlpQFKFaaaaNYaQIUKK6m+iYvG4fX182zoh2ZUR/P7uyKa+etplAJ8I0nBMUqHmrBlKFYBcM1nqgUq3ioJV8ZipVmzihWmgA1iqvF6JMWP4i5a19CZXUlGlbnYsaWzvj9G+uQvWMHR6g02OoWpVjpEpQrT7GSY6kbiWKlSzA5ylOsNPNEsdIEGEfxvQd+wpOfPornV8/AgcpS1KvMxIwtZ+G/3tqInB07KVRxMJUuQrGSJhp/PIpV/OykS1KspImaGY9ipZkXipUmQB/FSytL8OeVT+GZ5Y9DbfSZVwE8vqEDbv33duTu3GVFKju7E/YPG43Siy/zEZmnShOgWEkTjT8exSp+dtIlKVbSRM2MR7HSzAvFShOgh+IVVeV4+YvnMWVZAXYU/2gJ1cPrWuOuD/ajzs7dVoSqTp1RNOJPKPzVJR4i8pSgCVCsgibsPT7FyjuroM+kWAVN2Iz4FCvNPFCsNAFGKa72onr961cxcfE4bN73HfLLgVFfNceg/zuAurt+qjFCVe+6q1B8oBKlZdEfaRNcbRk5nADFypz+QLEyJxcUK3NyEWRNKFaadClWmgAjFP9g8zt45OP78eWuNZZQjV7ZCAM/qkTdvftrCJU95ef3IczB1JpRbQIUK3P6AsXKnFxQrMzJRZA1oVhp0qVYaQJ0FP/sx2UY9+EILNv2iSVUw5fXw5BPMlBvb5GrUNnFKVayedCNRrHSJShXnmIlx1I3EsVKl2BylKdYaeaJYqUJ8Ofi6/eswyOL/oR3vnvLEqrBy3IxfHEW8veVWGccOO9Ca1H6gQu6ul6QYiWTB6koFCspkvpxKFb6DKUiUKykSJodh2KlmR+KlR7Arfu/t9ZQ/c+6V1C3rAr3Ls3CyCU5qL+v9OAI1TnnYd8DD1r/j3ZQrPTyIF2aYiVNNP54FKv42UmXpFhJEzUzHsVKMy8Uq/gA7indjSlLC/DXz59D3ZIDuGNZBkYsyUXDwgO+hMq+OsUqvjwEVYpiFRRZ/3EpVv6ZBVWCYhUUWbPiUqw080Gx8gdwf/l+/Hnlk5ixYiqy9u/HoE+A+5ZkI7+kIi6holj545+osylWiSId+zoUq9iMEnUGxSpRpGv3OhQrTf4UK28AyyvL8JcvZuKJpY+iYu9OS6iGLMlC/ZKD2yMcuOgSFN43IuaUX6SrccTKWx4SdRbFKlGkY1+HYhWbUaLOoFglinTtXodipcmfYhUdYFV1Featm4NJSx5E4c7NllANXpyJBqVVIaHaN3osyjuepZUJipUWPvHCFCtxpHEHpFjFjU68IMVKHKmRASlWmmmhWEUGqL7hN2HxGGzb+qUlVIMWZ6KhsFDZV6dYaXZk4eIUK2GgGuEoVhrwhItSrISBGhqOYqWZGIrV4QDVHlRqL6pNG5fhniVKqDLQsLRadITKeVWKlWZHFi5OsRIGqhGOYqUBT7goxUoYqKHhKFaaiaFYHQK4bteXeHjRaKxc+y8M+xi4cylQv+zg62oNlcSUX6R0Uaw0O7JwcYqVMFCNcBQrDXjCRSlWwkANDUex0kwMxQrYUrgJj34yBgtXvYqhH1fXEKrSK65C4ZAR2muoYqWJYhWLUGJfp1gllne0q1GszMkFxcqcXARZE4qVJt10FqtdpTvx+JLxmP/pbAz+sPxwoRo1BuUdTtEk7K04xcobp0SdRbFKFOnY16FYxWaUqDMoVokiXbvXoVhp8k9HsSosK8Qzyyfjfz+ehj9+VFyrQmWnj2Kl2ZGFi1OshIFqhKNYacATLkqxEgZqaDiKlWZi0kmsDlSW4oU1MzBnwaO4492f0P9TIO/gvp6wpvwSOELlTBvFSrMjCxenWAkD1QhHsdKAJ1yUYiUM1NBwFCvNxKSDWFVWV2Lu2pfwl3cfRN9//WCUUHHESrMDB1ScYhUQ2DjCUqzigBZQEYpVQGANC0ux0kxIqovV2xv+gef+/Sf0enNDSKiqMzNQck0PFKlF6QlaQxUrTRyxikUosa9TrBLLO9rVKFbm5IJiZU4ugqwJxUqTbqqK1eKtH+Lpt4fimr+vPiRUGRkouuY6FI8ci4oTTtQkJ1ucYiXLUzcaxUqXoFx5ipUcS91IFCtdgslRnmKlmadUE6svdq7GjDeH4MLXPq4hVIVXX43SUQ8ZJ1ScCtTswAEVp1gFBDaOsBSrOKAFVIRiFRBYw8JSrDQTkipitWnft5j55jCc85f5uOUzILcSqM7IwE9Xdkf5nx4xVqgoVpodOKDiFKuAwMYRlmIVB7SAilCsAgJrWFiKlWZCkl2sdpRsx6y3huO0517FzZ9VhYRqZ/fLUH3/ROOFimKl2YEDKk6xCghsHGEpVnFAC6gIxSogsIaFpVhpJiRZxWrvgZ/w0jtjcdwzs/HfKyosoarKzMAPV1+OnJETkkaoKFaaHTig4hSrgMDGEZZiFQe0gIpQrAICa1hYipVmQpJNrEorS/DauxNw1BNP4IblZSGh2tT9ItR7cBoqW7fRJFI7xbl4vXa4R7oqxcqcfFCszMkFxcqcXARZE4qVJt1kEauKqgq8/f7jqDt1InotK7aEqjIT+ObyC3DEwzNQ2fo4TRK1W5xiVbv8nVenWJmTD4qVObmgWJmTiyBrQrHSpGu6WFWjGv+38FnUKRiL65YXIqvqoFB9eWlnNB0/C2jTVpOAGcUpVmbkwa4FxcqcfFCszMkFxcqcXARZE4qVJl2TxWr5J39D9cPDcOWy3SGhWnVxRxz1yGxkHddes+VmFadYmZUPipU5+aBYmZMLipU5uQiyJhQrTbomitX6FW+haMxd+M2SHy2hKssCllxyGn4xdibqnXi6ZovNLE6xMisvFCtz8kGxMicXFCtzchFkTShWmnRNEqutny/AT3/qj4sWbQkJ1cKLTkKLh59HkxPO1Gyp2cUpVmblh2JlTj4oVubkgmJlTi6CrAnFSpOuCWK1e/WH2D3uDpz/4YaQUL3b9Vgc9dBMHN3+As0WJkdxipVZeaJYmZMPipU5uaBYmZOLIGtCsdKkW5tiVfzFMvw0+jac9fF6ZFYfnPJ787zmaDTuaXQ4vbtmy5KrOMXKrHxRrMzJB8XKnFxQrMzJRZA1oVhp0q0NsapYtwp7Rt2G0xZ+YQlVaTbw2gVHIn/4ozinU2/NFiVncYqVWXmjWJmTD4qVObmgWJmTiyBrQrHSpJtIscr4+kvsGX0b2i9YGRKqv53XEBnDHsZlXW5FBjI0W5O8xSlWZuWOYmVOPihW5uSCYmVOLoKsCcVKk24ixCrrm6+xb/TtaPv+0pBQ/eWceigZMgK/veBeZGfmaLYi+YtTrMzKIcXKnHxQrMzJBcXKnFwEWROKlSbdIMUq56svUPTQQLT+98choXq+cy523H03/nDRCNTLztesfeoUp1iZlUuKlTn5oFiZkwuKlTm5CLImFCtNukGIlRKqqjGD0Pz9j6zaqTVUz/0yCxv798Etl45D47wmmrVOveIUK7NySrEyJx8UK3NyQbEyJxdB1oRipUlXUqyUUGWMG4oj311g1Wp/LvBM5wysv6kH+v+mAC3rH6NZ29QtTrEyK7cUK3PyQbEyJxcUK3NyEWRNKFaadCXESglV9oPD0fjf74eE6unOwLI/XIa7L30UJzZup1nL1C9OsTIrxxQrc/JBsTInFxQrc3IRZE0oVpp0dcQqZ+UK1Jn4IBq+804Nofr3bzth0OWP4czmnTRrlz7FKVZm5ZpiZU4+KFbm5IJiZU4ugqwJxUqTbjxipYSq3sP3I3/BBzWE6u9Xtccdl4zHJW2u0KxV+hWnWJmVc4qVOfmgWJmTC4qVObkIsiYUK026fsRKCVX98WNQ94P3agjVy5e3Qr+LxqJHu15pvReVTiooVjr05MtSrOSZxhuRYhUvOflyFCt5piZGpFhpZsWLWCmhajB+LPI+eNe62t48YGoX4KWuTXFzt5H471P7cS8qzTxQrDQBChenWAkD1QhHsdKAJ1yUYiUM1NBwFCvNxEQTKyVUDcePRR2HUM24MB+9u9yL/mcNRP2c+po1YHFFgGJlVj+gWJmTD4qVObmgWJmTiyBrQrHSpOsmVrlLFqHBYxMOE6pp5+fimrNvw8DOI9A070jNK7N4OAGKlVn9gWJlTj4oVubkgmJlTi6CrAnFSpNuuFgpoWr44ANQ/w+f8nvi3ExcdHpPDOsyBq0aHKt5RRZ3I0CxMqtfUKzMyQfFypxcUKzMyUWQNaFYeaA7b/5C3D9xtnXmlRd3wbihfVE3L9f6WYlVJKGaci7wy5Mux+jzHka7pid7uBJPiZcAxSpecsGUo1gFwzWeqBSreKgFU4ZiFQxX06JSrGJkZNnKtZg8Yy6mTxiExo0a4PEZc60Sg/v3tP5/4PyuqLPoQ+vfe+oCk84HnukEHN+6E8ZcOAGdWpxrWs5Tsj4UK7PSSrEyJx8UK3NyQbEyJxdB1oRiFYOuEqk2rVqgR/eu1plO0SrJz0NpdRkmnV+NJ88BWjZrh1HnPYzLjrsyyLwxtoMAxcqsLkGxMicfFCtzckGxMicXQdaEYhWFbklpGcZMmo0uZ58cEqsNm7ZidMFMjB/ZD22PbYmL+2RgyTFAk6at8UDXsbjhtJuQmZEZZM4Y24VATlYGKqurUVVFPCYQUB/mB8qZDBNykZkBZGVloLyi2oTqpHUd1PuCR+oToFh5EKvrr+6GTh3bW2c6xeqaV65BtzbdcFfnu5CbdXDdFQ8SIAESIAESIIH0JECx8iBW0Uasdu0rS8+eY1irG9TLtkZIyjhKYkRmmjbMBd8bRqQCOdkZqFsnG/uKys2oUBrXQr0veKQ+AYpVjBzHWmPlZef11O9Gtd9CrrGq/RyE14BrrMzJB9dYmZMLrrEyJxdB1oRiFYNurG8FUqyC7J7eY1OsvLNKxJkUq0RQ9nYNipU3Tok4i2KVCMq1fw2KlYccxNrHykMInhIwAYpVwIB9hqdY+QQW4OkUqwDh+gxNsfIJLElPp1hpJo4jVpoAhYpTrIRACoWhWAmBFAhDsRKAKBSCYiUE0vAwFCvNBFGsNAEKFadYCYEUCkOxEgIpEIZiJQBRKATFSgik4WEoVpoJolhpAhQqTrESAikUhmIlBFIgDMVKAKJQCIqVEEjDw1CsNBNEsdIEKFScYiUEUigMxUoIpEAYipUARKEQFCshkIaHoVhpJohipQlQqDjFSgikUBiKlRBIgTAUKwGIQiEoVkIgDQ9DsdJMEMVKE6BQcYqVEEihMBQrIZACYShWAhCFQlCshEAaHoZiZXiCWD0SIAESIAESIIHkIUCxSp5csaYkQAIkQAIkQAKGE6BYGZ4gVo8ESIAESIAESCB5CFCskidXrCkJkAAJkAAJkIDhBChWhieI1XMnsGHTVkx6Zg4KRvVD40YNQift2VuIASOmYM1X31q/e2HqCHTq2J4YAyKgHlI+65X5oegPDeuLHt27hn5Wz9rsM3CC9fNpHY7H9AmDauQroGqlZVhn33fjHe3xXGkJjY0mgQAIUKwCgMqQwREI//BwfnCUlJZhzKTZ6HL2ydaHu5Kv0QUzMX5kP7Q9tmVwlUrTyIr39Bdfxy29rrBkSfHuP2wyCkb2s2TWyV99qC9e/iXGDe2Lunm5aUotuGYrid2ydXtIbJ28Yz1QPriaMTIJpBcBilV65TtlWus2YuX8nVO0UqbxhjbEyVt9sG/csg2D+/e0akzRTWzi3ESqTasWIfFyvp7Y2vFqJJC6BChWqZvblG6Zm1i5fVCoqSp12B/uKQ2llhtnjyYO6d/TGrFysne+XsvVTfnLK/7btu+2RgjVET6aS9FN+fSzgbVIgGJVi/B56fgJRBKrV99YUGOqiWIVP2O/JZ2s1c/hIyQUK79E4zvfXkcVPlVujyZef3W30JpDjiDGx5elSCAWAYpVLEJ83UgCHLEyKy3hoyP2+imOWNVujsJHcPPq1OGIVe2mg1dPIwIUqzRKdio1lWuszMmmm1Sp2nGNVe3mSI0QjnxkJobe0cv68oZzBJFrrGo3P7x66hKgWKVublO6ZW5ixW8FJj7l0aZa+a3AxOZDiWyrls1CU33q57lvLAhtccFvBSY2H7xa+hKgWKVv7pOy5c69elQjbu3dPbQ4nftYJS6tbrlQV7/y4i6hdW7cxypx+bC3u/jhx13WRbmPVeLY80okEE6AYsX+QAIkQAIkQAIkQAJCBChWQiAZhgRIgARIgARIgAQoVuwDJEACJEACJEACJCBEgGIlBJJhSIAESIAESIAESIBixT5AAiRAAiRAAiRAAkIEKFZCIBmGBEiABEiABEiABChW7AMkQAIkQAIkQAIkIESAYiUEkmFIgARIgARIgARIgGLFPkACJEACJEACJEACQgQoVkIgGYYESIAESIAESIAEKFbsAyRAAiRAAiRAAiQgRIBiJQSSYUiABEiABEiABEiAYsU+QAIkQAIkQAIkQAJCBChWQiAZhgRIgARIgARIgAQoVuwDJEACJEACJEACJCBEgGIlBJJhSIAESIAESIAESIBixT5AAiRAAiRAAiRAAkIEKFZCIBmGBEgAKCktw5hJs7F563ZMnzAIjRs1cMWybOVa9Bk4AQ8N64se3bsSHQmQAAmkDAGKVcqkkg0hgWAJ2DJ05cVdMG5oX9TNyz3sgvPmL8TcNxaEpMoWrS5nn3yYQKl4IwtmYsbEIWh7bMtgK8/oJEACJJAgAhSrBIHmZUgg2Qk8PmMuln72ldWM8SP7HSZDe/YWYsCIKRjSvyc6dWxvnRdNrNTrKqY6Bvfvmex4WH8SIAESsAhQrNgRSIAEYhKwpemOm6/Fm//+BC2aNTlMhtQI1OQZc2tMASpxmvXK/FD8XzRvWmOEasOmrRhdMNNV1GJWiieQAAmQgIEEKFYGJoVVIgHTCChpevWNBdYU4NvvL64x3WfX1W30KdaIlf369Vd3C41ymdZ21ocESIAE/BCgWPmhxXNJIA0JOOUo2pSfU5BiiZXCqYSsTasWXMSehn2LTSaBVCRAsUrFrLJNJCBIwG26zjk6FWnkyYtYqQXvG7ds4zorwZwxFAmQQO0RoFjVHntemQSSgoASn/snzj6sruHrpShWSZFKVpIESCABBChWCYDMS5BAshKINOJkTwf2vLqbNYUXba1UrKm+WK8nKzvWmwRIID0JUKzSM+9sNQl4IhBtryklRNu27w7taRVp6wTneeEX5uJ1T2ngSSRAAklEgGKVRMliVUkg0QSiSZFTuty2W1D1tUe31nz1Ldy2W5j0zBwUjOoXcZf2RLeZ1yMBEiABHQIUKx16LEsCJBAi4PZtwVh4uEFoLEJ8nQRIINkIUKySLWOsLwkYTMD5SJtoVeUjbQxOJKtGAiQQNwGKVdzoWJAESMBJgA9hZp8gARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwIUq3TvAWw/CZAACZAACZCAGAGKlRhKBiIBEiABEiABEkh3AhSrdO8BbD8JkAAJkAAJkIAYAYqVGEoGIgESIAESIAESSHcCFKt07wFsPwmQAAmQAAmQgBgBipUYSgYiARIgARIgARJIdwL/H4r9LXpoNBviAAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.estimate_rate_constants(t=t_arr_late, reactant_conc=A_conc_late, product_conc=C_conc_late, \n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "5e2ab9aa-c84d-41d1-948f-16d1e437b2a6",
"metadata": {},
"source": [
"This time we have an adequate linear fit AND meaningful rate constants : kF of about 8 and kR of about 0. Do those numbers sound familiar? A definite resemblance to the kF=8, kR=2 of the SLOWER elementary reaction `A <-> B`! \n",
"\n",
"#### The slower `A <-> B` reaction dominates the kinetics from about t=0.028 on \n",
"\n",
"Let's see the graph again:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0c1a9e04-5622-480c-beca-525857353618",
"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,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
50,
48.4,
46.864,
46.124672,
45.761561804799996,
45.40161192343552,
45.0447703652651,
44.690987798242915,
44.340217342705294,
43.99241438203294,
43.64753638880049,
43.3055427651394,
42.96639469614495,
42.63005501525445,
42.29648808061195,
41.965659661515964,
41.57191226864183,
41.182015261391285,
40.71869588451881,
40.26077194067098,
39.808159238522826,
39.271300958591354,
38.7418640637834,
38.115291970926485,
37.499046538096884,
36.77170113458318,
36.058656685491975,
35.359593714094444,
34.537130389764656,
33.73394155122268,
32.792662335445364,
31.877770862964947,
30.810639399931045,
29.573065624502302,
28.385300728266195,
27.01731021926043,
25.71531963107068,
24.228288205165114,
22.82731126420336,
21.243419395030976,
19.76950498297383,
18.397929802857462,
16.86631910221147,
15.462321863258248,
14.175305297511569,
12.995522599112387,
11.914039070736012,
10.922664452458127,
10.01389089466293,
9.18083609971178,
8.417191201113544,
7.717172985397829,
7.0754800948497225,
6.487252879420792,
5.948036593767813,
5.453747660704116,
5.000642745570889,
4.585290407323345,
4.204545111640611,
3.855523409256128,
3.53558209910303,
3.2422982109002327,
2.973450655583944,
2.7270034046201745,
2.501090070812302,
2.2939997738315077,
2.1041641834273306,
1.9301456421943501,
1.7706262779466846,
1.624398023246451,
1.490353466502367,
1.3674774653523019,
1.2548394588164848,
1.1515864199999948,
1.0569363959741387,
0.9701725859131376,
0.8906379126388336,
0.8177300464627999,
0.7508968436405561,
0.6896321648925247,
0.6334720423246701,
0.5819911657202566,
0.5347996615928092,
0.4915401406074974,
0.45188499101055524,
0.41553389756941905,
0.3822115672340896,
0.3516656442957641,
0.31806463024549997,
0.2878231688921999,
0.2606053598280132,
0.23610888720058568,
0.21406166180594913,
0.19421879891728708,
0.1763598982814716,
0.1602865960715285,
0.14582036160387896,
0.13280051434787737,
0.12108243920201293,
0.11053598021334618,
0.10104399489877133,
0.09250105311054424,
0.08481226599400984
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=B
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "B",
"line": {
"color": "orange",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "B",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
1.6,
2.624,
2.9435904,
3.0713065369600003,
3.185668608533504,
3.287797949968044,
3.378723424161262,
3.4593890346437415,
3.530660911906862,
3.593333724657369,
3.648136563334523,
3.69573833932936,
3.736752739769965,
3.771742774455361,
3.80122494850941,
3.8305627201734342,
3.853277409288672,
3.8734141464665153,
3.885899516796944,
3.891699473920215,
3.8916578829914457,
3.8842934327668313,
3.868036896630442,
3.844283761677834,
3.808518568037727,
3.7657619260423223,
3.717723250443134,
3.655363099070925,
3.5888891819238284,
3.505939751852901,
3.4207474025430256,
3.3175132178404025,
3.193865356383366,
3.0721506406883927,
2.9298664457024692,
2.7929963507838798,
2.635820543468343,
2.487238263350492,
2.3190226325428513,
2.1623779381663804,
2.01658062110687,
1.8537623889170043,
1.7045071753116607,
1.5676875128717855,
1.442267585050898,
1.327297606101438,
1.2219068935731814,
1.1252973061498133,
1.0367372029660162,
0.9555559032167551,
0.8811386070305709,
0.8129217394913838,
0.750388682589995,
0.6930658627876064,
0.6405191645623973,
0.5923506427784057,
0.548195508978928,
0.507719368781125,
0.47061568945014803,
0.4366034784742928,
0.4054251555606329,
0.3768446019353919,
0.3506453721760705,
0.3266290550332316,
0.30461377082816044,
0.28443279404694,
0.26593329069960897,
0.248975160882207,
0.23342997777623203,
0.21918001505037105,
0.206117355298851,
0.19414307276446136,
0.18316648415686915,
0.17310446189254602,
0.16388080455535603,
0.15542565981019363,
0.1476749953992988,
0.14057011421501364,
0.1340572097765436,
0.1280869587442723,
0.12261414738567217,
0.11759732916397202,
0.11299851085644308,
0.10878286482522287,
0.10491846526165502,
0.10137604640667805,
0.09812878091622484,
0.09455673584854232,
0.0913418369557597,
0.08844837545262127,
0.08584421284926869,
0.08350042398000455,
0.08139097572335026,
0.07949243784485147,
0.07778372275088104,
0.07624585126281208,
0.07486174180994826,
0.07361602069971916,
0.07249485135775738,
0.07148578064117955,
0.07057760051802948,
0.06976022357651836
],
"yaxis": "y"
},
{
"hovertemplate": "Chemical=C
SYSTEM TIME=%{x}
concentration=%{y}",
"legendgroup": "C",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "C",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.004,
0.008,
0.01,
0.011,
0.012,
0.013000000000000001,
0.014000000000000002,
0.015000000000000003,
0.016000000000000004,
0.017000000000000005,
0.018000000000000006,
0.019000000000000006,
0.020000000000000007,
0.021000000000000008,
0.02200000000000001,
0.02320000000000001,
0.02440000000000001,
0.02584000000000001,
0.02728000000000001,
0.02872000000000001,
0.03044800000000001,
0.03217600000000001,
0.03424960000000001,
0.036323200000000014,
0.038811520000000016,
0.04129984000000002,
0.04378816000000002,
0.04677414400000002,
0.049760128000000015,
0.05334330880000002,
0.05692648960000002,
0.06122630656000002,
0.06638608691200001,
0.07154586726400002,
0.07773760368640001,
0.0839293401088,
0.09135942381568,
0.09878950752256001,
0.107705607970816,
0.116621708419072,
0.125537808867328,
0.1362371294052352,
0.1469364499431424,
0.1576357704810496,
0.1683350910189568,
0.179034411556864,
0.1897337320947712,
0.2004330526326784,
0.2111323731705856,
0.22183169370849282,
0.23253101424640002,
0.24323033478430722,
0.2539296553222144,
0.2646289758601216,
0.27532829639802875,
0.2860276169359359,
0.2967269374738431,
0.3074262580117503,
0.31812557854965745,
0.3288248990875646,
0.3395242196254718,
0.350223540163379,
0.36092286070128615,
0.3716221812391933,
0.3823215017771005,
0.3930208223150077,
0.40372014285291485,
0.41441946339082203,
0.4251187839287292,
0.4358181044666364,
0.44651742500454356,
0.45721674554245073,
0.4679160660803579,
0.4786153866182651,
0.48931470715617226,
0.5000140276940794,
0.5107133482319867,
0.5214126687698939,
0.5321119893078011,
0.5428113098457084,
0.5535106303836156,
0.5642099509215228,
0.57490927145943,
0.5856085919973373,
0.5963079125352445,
0.6070072330731517,
0.617706553611059,
0.6305457382565476,
0.6433849229020362,
0.6562241075475248,
0.6690632921930134,
0.681902476838502,
0.6947416614839906,
0.7075808461294792,
0.7204200307749679,
0.7332592154204565,
0.7460984000659451,
0.7589375847114337,
0.7717767693569223,
0.7846159540024109,
0.7974551386478995,
0.8102943232933881
],
"xaxis": "x",
"y": [
0,
0,
0.512,
0.9317376,
1.16713165824,
1.412719468030976,
1.6674316847668533,
1.9302887775958202,
2.2003936226509615,
2.4769247060601955,
2.7591298865421385,
3.046320671526074,
3.3378669645256833,
3.6331922449755796,
3.9317691449326793,
4.233115389974615,
4.597525011184722,
4.964707329320029,
5.407889969014661,
5.853328542532066,
6.300141287556949,
6.83704115841719,
7.373842503449753,
8.016671132443062,
8.656669700225269,
9.419780297379077,
10.175581388465691,
10.922683035462407,
11.807506511164407,
12.677169266853479,
13.701397912701719,
14.70148173449201,
15.871847382228536,
17.233069019114314,
18.542548631045396,
20.052823335037083,
21.49168401814542,
23.135891251366523,
24.685450472446128,
26.437557972426152,
28.068117078859768,
29.585489576035645,
31.279918508871503,
32.83317096143007,
34.25700718961662,
35.562209815836695,
36.75866332316253,
37.85542865396867,
38.86081179918724,
39.78242669732219,
40.627252895669685,
41.401688407571584,
42.111598165658876,
42.76235843798919,
43.35889754344456,
43.90573317473347,
44.40700661165069,
44.86651408369771,
45.28773551957825,
45.67386090129371,
46.02781442242266,
46.35227663353911,
46.649704742480644,
46.922351223203734,
47.172280874154445,
47.40138645534031,
47.61140302252571,
47.80392106710602,
47.980398561171086,
48.1421719989773,
48.29046651844724,
48.426405179348826,
48.55101746841903,
48.665247095843114,
48.769959142133295,
48.865946609531484,
48.95393642755095,
49.03459495813788,
49.10853304214441,
49.17631062533091,
49.23844099893104,
49.295394686894056,
49.3476030092432,
49.395461348536045,
49.439332144164204,
49.479547637168906,
49.516412386359214,
49.550205574787995,
49.58737863390594,
49.62083499415203,
49.65094626471935,
49.67804689995013,
49.70243791421403,
49.72439022535934,
49.744147663873655,
49.76192968117757,
49.777933787133286,
49.792337743842154,
49.80530154009825,
49.81696916842888,
49.82747022446003,
49.836921346371405,
49.84542751042945
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"shapes": [
{
"line": {
"color": "gray",
"dash": "dot",
"width": 1
},
"type": "line",
"x0": 0.028,
"x1": 0.028,
"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": "Changes in concentration for `A <-> B` and `B <-> C`"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"range": [
0,
0.4
],
"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', 'orange', 'green'], xrange=[0, 0.4], \n",
" vertical_lines=[0.028])"
]
},
{
"cell_type": "markdown",
"id": "57e7c2b9-c693-4e16-92f6-6e0a94b18a2b",
"metadata": {},
"source": [
"Just as we concluded in experiment `cascade_2_a`, the earlier part of the complex (compound) reaction `A <-> C` cannot be modeled by an elementary reaction, while the later part can indeed be modeled by a 1st order elementary reaction, with kinetics similar to the slower `A <-> B` reaction. This time, with a greater disparity between the two elementary reaction, the transition happens much sooner."
]
},
{
"cell_type": "markdown",
"id": "310322af-ca59-4d41-b533-ec3336d6f3a8",
"metadata": {},
"source": [
"### While it's a well-known Chemistry notion that the slower reaction is the rate-determining step in a chain, we saw in this experiment, and in the previous one, that the complex reaction could be roughly modeled with the rate constants of the slower reaction only after some time - especially if the 2 elementary reactions are relatively similar (as in the previous experiment). "
]
},
{
"cell_type": "markdown",
"id": "2360a0ce-db41-4965-963c-a2356f01e32f",
"metadata": {},
"source": [
"If we were interested in early transients (for example, if diffusion quickly intervened), we couldn't use that model."
]
},
{
"cell_type": "markdown",
"id": "25991209-add1-4828-a07a-35c3cbd94211",
"metadata": {},
"source": [
"#### In the continuation experiment, `cascade_2_c`, we explore the scenario where the 2 elementary reactions are reversed in their relative speeds"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "dab5c28c-042e-4b36-9574-3880f2b4a614",
"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
}