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"## 2 COUPLED reactions of different speeds, forming a \"cascade\": \n",
"### `A <-> B` (fast) and `B <-> C` (slow)\n",
"Taken to equilibrium. Both reactions are mostly forward. All 1st order. \n",
"**The concentration of the intermediate product B manifests 1 oscillation (transient \"overshoot\")**\n",
"\n",
"Adaptive variable time resolution is used, with extensive diagnostics, \n",
"and finally compared to a new run using fixed time intervals, with the same initial data.\n",
"\n",
"In part2, some diagnotic insight is explored. \n",
"In part3, two identical runs (\"adaptive variable steps\" and \"fixed small steps\") are compared. \n",
"\n",
"LAST REVISED: May 5, 2024"
]
},
{
"cell_type": "markdown",
"id": "c8763f25-9fab-4b36-89cc-388321a16be0",
"metadata": {},
"source": [
"## Bathtub analogy:\n",
"A is initially full, while B and C are empty. \n",
"Tubs are progressively lower (reactions are mostly forward.) \n",
"A BIG pipe connects A and B: fast kinetics. A small pipe connects B and C: slow kinetics. \n",
"\n",
"INTUITION: B, unable to quickly drain into C while at the same time being blasted by a hefty inflow from A, \n",
"will experience a transient surge, in excess of its final equilibrium level.\n",
"\n",
"* **[Compare with the final reaction plot (the orange line is B)](#cascade_1_plot)**"
]
},
{
"cell_type": "markdown",
"id": "b11f68d6-d3bc-4908-93c0-eaee580acbc1",
"metadata": {},
"source": [
""
]
},
{
"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\n",
"\n",
"from src.modules.visualization.graphic_log import GraphicLog"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "83c3cc5f-de21-4f66-9988-2806fbf0666d",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'cascade_1.log.htm'\n"
]
}
],
"source": [
"# Initialize the HTML logging (for the graphics)\n",
"log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n",
"\n",
"# Set up the use of some specified graphic (Vue) components\n",
"GraphicLog.config(filename=log_file,\n",
" components=[\"vue_cytoscape_2\"],\n",
" extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")"
]
},
{
"cell_type": "markdown",
"id": "9329208b-070f-4902-8f37-0f11ddf75ed6",
"metadata": {},
"source": [
"# Initialize the System\n",
"Specify the chemicals and the reactions"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "72b4245c-de4e-480d-a501-3495b7ed8bc4",
"metadata": {
"tags": []
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2\n"
]
}
],
"source": [
"# Instantiate the simulator and specify the chemicals\n",
"dynamics = ReactionDynamics(names=[\"A\", \"B\", \"C\"])\n",
"\n",
"# Reaction A <-> B (fast)\n",
"dynamics.add_reaction(reactants=[\"A\"], products=[\"B\"],\n",
" forward_rate=64., reverse_rate=8.) \n",
"\n",
"# Reaction B <-> C (slow)\n",
"dynamics.add_reaction(reactants=[\"B\"], products=[\"C\"],\n",
" forward_rate=12., reverse_rate=2.) \n",
"\n",
"print(\"Number of reactions: \", dynamics.number_of_reactions())"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "00ea560d-9a49-4041-b119-6de11bfcc7af",
"metadata": {},
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{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2 (at temp. 25 C)\n",
"0: A <-> B (kF = 64 / kR = 8 / delta_G = -5,154.8 / K = 8) | 1st order in all reactants & products\n",
"1: B <-> C (kF = 12 / kR = 2 / delta_G = -4,441.7 / K = 6) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'B', 'C', 'A'}\n"
]
}
],
"source": [
"dynamics.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "cb582868-431c-4022-aa0e-a2f554f80d6c",
"metadata": {},
"outputs": [
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"name": "stdout",
"output_type": "stream",
"text": [
"[GRAPHIC ELEMENT SENT TO LOG FILE `cascade_1.log.htm`]\n"
]
}
],
"source": [
"# Send a plot of the network of reactions to the HTML log file\n",
"dynamics.plot_reaction_network(\"vue_cytoscape_2\")"
]
},
{
"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
"metadata": {},
"source": [
"## Run the simulation"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
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"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: {'B', 'C', '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": 8,
"id": "0ff2c242-a15b-456d-ad56-0ba1041c0b4c",
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\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
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\n",
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\n",
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"id": "fc516ca2-e62d-4784-b826-5372ff7f4c75",
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"tags": []
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"source": [
"## Run the reaction"
]
},
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"\n",
"*** CAUTION: negative concentration in chemical `A` in step starting at t=0. It will be AUTOMATICALLY CORRECTED with a reduction in time step size, as follows:\n",
" INFO: the tentative time step (0.02) leads to a NEGATIVE concentration of `A` from reaction A <-> B (rxn # 0): \n",
" Baseline value: 50 ; delta conc: -64\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.01) [Step started at t=0, and will rewind there]\n",
"* 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 0.6 (set to 0.006) [Step started at t=0, and will rewind there]\n",
"* INFO: the tentative time step (0.006) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.6 (set to 0.0036) [Step started at t=0, and will rewind there]\n",
"* INFO: the tentative time step (0.0036) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.6 (set to 0.00216) [Step started at t=0, and will rewind there]\n",
"* INFO: the tentative time step (0.00216) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.6 (set to 0.001296) [Step started at t=0, and will rewind there]\n",
"* INFO: the tentative time step (0.001296) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.6 (set to 0.0007776) [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",
"48 total step(s) taken\n"
]
}
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"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"# These settings can be tweaked to make the time resolution finer or coarser. \n",
"# Here we use a \"fast\" heuristic: less conservative about taking larger steps\n",
"dynamics.use_adaptive_preset(preset=\"fast\")\n",
"\n",
"dynamics.single_compartment_react(initial_step=0.02, reaction_duration=0.4,\n",
" snapshots={\"initial_caption\": \"1st reaction step\",\n",
" \"final_caption\": \"last reaction step\"},\n",
" variable_steps=True, explain_variable_steps=False)"
]
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"source": [
"### Plots of changes of concentration with time\n",
"Notice the variable time steps (vertical dashed lines)"
]
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(title=\"Coupled reactions A <-> B and B <-> C\",\n",
" colors=['blue', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "844183a6-e61f-4b7a-8aa6-013f4530a74b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 19\n"
]
},
{
"data": {
"text/plain": [
"(0.011857732428358053, 24.047031609298816)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersection(\"A\", \"B\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "025c387b-5bd2-4666-a140-9c66630da072",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 29\n"
]
},
{
"data": {
"text/plain": [
"(0.031934885008449314, 8.852813807230596)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersection(\"A\", \"C\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "86f3a798-4a5b-4016-b4d1-121f9fb48506",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 36\n"
]
},
{
"data": {
"text/plain": [
"(0.07740303497735611, 23.285274847029168)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersection(\"B\", \"C\", t_start=0.05, t_end=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "80fbaee3-bd6f-4197-9270-23374d46a4a7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" Initial state | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.000778 | \n",
" 47.511680 | \n",
" 2.488320 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.001400 | \n",
" 45.632475 | \n",
" 4.348950 | \n",
" 0.018575 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.002022 | \n",
" 43.837347 | \n",
" 6.111636 | \n",
" 0.051017 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.002519 | \n",
" 42.465438 | \n",
" 7.447097 | \n",
" 0.087465 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.003017 | \n",
" 41.142542 | \n",
" 8.725606 | \n",
" 0.131851 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 0.003515 | \n",
" 39.866871 | \n",
" 9.949300 | \n",
" 0.183829 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 0.004012 | \n",
" 38.636703 | \n",
" 11.120234 | \n",
" 0.243063 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 0.004510 | \n",
" 37.450378 | \n",
" 12.240391 | \n",
" 0.309231 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 0.005008 | \n",
" 36.306298 | \n",
" 13.311680 | \n",
" 0.382022 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 0.005505 | \n",
" 35.202922 | \n",
" 14.335939 | \n",
" 0.461139 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 0.006003 | \n",
" 34.138767 | \n",
" 15.314939 | \n",
" 0.546294 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 0.006501 | \n",
" 33.112404 | \n",
" 16.250386 | \n",
" 0.637210 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 0.006998 | \n",
" 32.122455 | \n",
" 17.143922 | \n",
" 0.733623 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 0.007496 | \n",
" 31.167595 | \n",
" 17.997130 | \n",
" 0.835276 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 0.008243 | \n",
" 29.786018 | \n",
" 19.218736 | \n",
" 0.995246 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 0.008989 | \n",
" 28.477742 | \n",
" 20.356337 | \n",
" 1.165921 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 0.009736 | \n",
" 27.238764 | \n",
" 21.414705 | \n",
" 1.346531 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 0.010482 | \n",
" 26.065300 | \n",
" 22.398347 | \n",
" 1.536353 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 0.011602 | \n",
" 24.398010 | \n",
" 23.768113 | \n",
" 1.833877 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 0.012722 | \n",
" 22.862474 | \n",
" 24.988386 | \n",
" 2.149140 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 0.013841 | \n",
" 21.447911 | \n",
" 26.071994 | \n",
" 2.480095 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 0.014961 | \n",
" 20.144428 | \n",
" 27.030704 | \n",
" 2.824868 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 0.016641 | \n",
" 18.342204 | \n",
" 28.297603 | \n",
" 3.360193 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 0.018320 | \n",
" 16.750734 | \n",
" 29.330012 | \n",
" 3.919255 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 0.020000 | \n",
" 15.344212 | \n",
" 30.158542 | \n",
" 4.497247 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 0.022519 | \n",
" 13.477920 | \n",
" 31.135708 | \n",
" 5.386372 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 0.025039 | \n",
" 11.932250 | \n",
" 31.767190 | \n",
" 6.300559 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 0.027558 | \n",
" 10.648537 | \n",
" 32.122231 | \n",
" 7.229232 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 0.031337 | \n",
" 9.044186 | \n",
" 32.324491 | \n",
" 8.631323 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 0.035116 | \n",
" 7.833986 | \n",
" 32.134026 | \n",
" 10.031989 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 0.038896 | \n",
" 6.910732 | \n",
" 31.675838 | \n",
" 11.413430 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 0.044564 | \n",
" 5.840026 | \n",
" 30.721211 | \n",
" 13.438763 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 0.050233 | \n",
" 5.114478 | \n",
" 29.509327 | \n",
" 15.376196 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 0.058736 | \n",
" 4.338557 | \n",
" 27.535703 | \n",
" 18.125740 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 0.065538 | \n",
" 3.948219 | \n",
" 25.924919 | \n",
" 20.126862 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 0.075742 | \n",
" 3.486129 | \n",
" 23.623393 | \n",
" 22.890478 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 0.083905 | \n",
" 3.207568 | \n",
" 21.961627 | \n",
" 24.830805 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 0.096149 | \n",
" 2.845240 | \n",
" 19.705148 | \n",
" 27.449612 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 0.105945 | \n",
" 2.605699 | \n",
" 18.166190 | \n",
" 29.228112 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 0.120638 | \n",
" 2.290745 | \n",
" 16.137006 | \n",
" 31.572249 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 0.135332 | \n",
" 2.033442 | \n",
" 14.476842 | \n",
" 33.489716 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 0.157371 | \n",
" 1.717708 | \n",
" 12.439976 | \n",
" 35.842316 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 0.179411 | \n",
" 1.488195 | \n",
" 10.959299 | \n",
" 37.552505 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 0.212471 | \n",
" 1.237929 | \n",
" 9.344771 | \n",
" 39.417300 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 0.245531 | \n",
" 1.090175 | \n",
" 8.391543 | \n",
" 40.518282 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 0.295121 | \n",
" 0.959315 | \n",
" 7.547371 | \n",
" 41.493315 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 0.369506 | \n",
" 0.883653 | \n",
" 7.059061 | \n",
" 42.057286 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 0.481083 | \n",
" 0.874584 | \n",
" 7.001835 | \n",
" 42.123581 | \n",
" last reaction step | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME A B C caption\n",
"0 0.000000 50.000000 0.000000 0.000000 Initial state\n",
"1 0.000778 47.511680 2.488320 0.000000 1st reaction step\n",
"2 0.001400 45.632475 4.348950 0.018575 \n",
"3 0.002022 43.837347 6.111636 0.051017 \n",
"4 0.002519 42.465438 7.447097 0.087465 \n",
"5 0.003017 41.142542 8.725606 0.131851 \n",
"6 0.003515 39.866871 9.949300 0.183829 \n",
"7 0.004012 38.636703 11.120234 0.243063 \n",
"8 0.004510 37.450378 12.240391 0.309231 \n",
"9 0.005008 36.306298 13.311680 0.382022 \n",
"10 0.005505 35.202922 14.335939 0.461139 \n",
"11 0.006003 34.138767 15.314939 0.546294 \n",
"12 0.006501 33.112404 16.250386 0.637210 \n",
"13 0.006998 32.122455 17.143922 0.733623 \n",
"14 0.007496 31.167595 17.997130 0.835276 \n",
"15 0.008243 29.786018 19.218736 0.995246 \n",
"16 0.008989 28.477742 20.356337 1.165921 \n",
"17 0.009736 27.238764 21.414705 1.346531 \n",
"18 0.010482 26.065300 22.398347 1.536353 \n",
"19 0.011602 24.398010 23.768113 1.833877 \n",
"20 0.012722 22.862474 24.988386 2.149140 \n",
"21 0.013841 21.447911 26.071994 2.480095 \n",
"22 0.014961 20.144428 27.030704 2.824868 \n",
"23 0.016641 18.342204 28.297603 3.360193 \n",
"24 0.018320 16.750734 29.330012 3.919255 \n",
"25 0.020000 15.344212 30.158542 4.497247 \n",
"26 0.022519 13.477920 31.135708 5.386372 \n",
"27 0.025039 11.932250 31.767190 6.300559 \n",
"28 0.027558 10.648537 32.122231 7.229232 \n",
"29 0.031337 9.044186 32.324491 8.631323 \n",
"30 0.035116 7.833986 32.134026 10.031989 \n",
"31 0.038896 6.910732 31.675838 11.413430 \n",
"32 0.044564 5.840026 30.721211 13.438763 \n",
"33 0.050233 5.114478 29.509327 15.376196 \n",
"34 0.058736 4.338557 27.535703 18.125740 \n",
"35 0.065538 3.948219 25.924919 20.126862 \n",
"36 0.075742 3.486129 23.623393 22.890478 \n",
"37 0.083905 3.207568 21.961627 24.830805 \n",
"38 0.096149 2.845240 19.705148 27.449612 \n",
"39 0.105945 2.605699 18.166190 29.228112 \n",
"40 0.120638 2.290745 16.137006 31.572249 \n",
"41 0.135332 2.033442 14.476842 33.489716 \n",
"42 0.157371 1.717708 12.439976 35.842316 \n",
"43 0.179411 1.488195 10.959299 37.552505 \n",
"44 0.212471 1.237929 9.344771 39.417300 \n",
"45 0.245531 1.090175 8.391543 40.518282 \n",
"46 0.295121 0.959315 7.547371 41.493315 \n",
"47 0.369506 0.883653 7.059061 42.057286 \n",
"48 0.481083 0.874584 7.001835 42.123581 last reaction step"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "144d0388-a632-4165-a9c5-50bc7943fc88",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"From time 0 to 0.0007776, in 1 step of 0.000778\n",
"From time 0.0007776 to 0.002022, in 2 steps of 0.000622\n",
"From time 0.002022 to 0.007496, in 11 steps of 0.000498\n",
"From time 0.007496 to 0.01048, in 4 steps of 0.000746\n",
"From time 0.01048 to 0.01496, in 4 steps of 0.00112\n",
"From time 0.01496 to 0.02, in 3 steps of 0.00168\n",
"From time 0.02 to 0.02756, in 3 steps of 0.00252\n",
"From time 0.02756 to 0.0389, in 3 steps of 0.00378\n",
"From time 0.0389 to 0.05023, in 2 steps of 0.00567\n",
"From time 0.05023 to 0.05874, in 1 step of 0.0085\n",
"From time 0.05874 to 0.06554, in 1 step of 0.0068\n",
"From time 0.06554 to 0.07574, in 1 step of 0.0102\n",
"From time 0.07574 to 0.08391, in 1 step of 0.00816\n",
"From time 0.08391 to 0.09615, in 1 step of 0.0122\n",
"From time 0.09615 to 0.1059, in 1 step of 0.0098\n",
"From time 0.1059 to 0.1353, in 2 steps of 0.0147\n",
"From time 0.1353 to 0.1794, in 2 steps of 0.022\n",
"From time 0.1794 to 0.2455, in 2 steps of 0.0331\n",
"From time 0.2455 to 0.2951, in 1 step of 0.0496\n",
"From time 0.2951 to 0.3695, in 1 step of 0.0744\n",
"From time 0.3695 to 0.4811, in 1 step of 0.112\n",
"(48 steps total)\n"
]
}
],
"source": [
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "markdown",
"id": "c02a8f55-a671-4771-86c9-fc4d1b126bf8",
"metadata": {},
"source": [
"### Check the final equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "b139f5e4-625f-4a5e-8f57-8f00244dced4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 0.8746 ; [B] = 7.002\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 8.0059\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 8.0\n",
"Discrepancy between the two values: 0.07378 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 7.002 ; [C] = 42.12\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 6.01608\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 6.0\n",
"Discrepancy between the two values: 0.268 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that all the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium()"
]
},
{
"cell_type": "markdown",
"id": "c279c0b2-754e-4574-95a6-ffbe8e162463",
"metadata": {},
"source": [
"### Let's look at the final concentrations of `A` and `C` (i.e., the reactant and product of the composite reaction)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "c093910f-62f2-43cf-88ef-d5df935a44b8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8745841244150234"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A_final = dynamics.get_chem_conc(\"A\")\n",
"A_final"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "22636dc7-fd18-468f-8ddb-8152891eb9b5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"42.123581082850514"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"C_final = dynamics.get_chem_conc(\"C\")\n",
"C_final"
]
},
{
"cell_type": "markdown",
"id": "420e0075-6b81-4836-8641-b0ccdeacf550",
"metadata": {},
"source": [
"#### Their ratio:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "8280c0be-2f8d-4f4c-adc0-9ca7f5d5060e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"48.16412727709344"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"C_final / A_final"
]
},
{
"cell_type": "markdown",
"id": "07fe7c6c-f8dd-4460-aa08-d7c61d60bd62",
"metadata": {},
"source": [
"### As expected the equilibrium constant for the overall reaction `A <-> C` (approx. 48) is indeed the product of the equilibrium constants of the two elementary reactions (K = 8 and K = 6, respectively) that we saw earlier."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "587c2018-e781-43c1-aee8-e78b7b6dc9bf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "520b3b44-7da9-49d3-9cfd-685607169f01",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "5c3f8b4f-3a75-4a21-8579-13550bcebb3c",
"metadata": {},
"source": [
"# PART 2 - DIAGNOSTIC INSIGHT\n",
"\n",
"Perform some verification"
]
},
{
"cell_type": "markdown",
"id": "07dd5aa4-9e71-40c1-9f15-a16a9333ed10",
"metadata": {},
"source": [
"### Take a peek at the diagnostic data saved during the earlier reaction simulation"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "5ad64dc5-ba89-4f09-b7db-da40de1df4ed",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reaction: A <-> B\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" START_TIME | \n",
" Delta A | \n",
" Delta B | \n",
" Delta C | \n",
" time_step | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" NaN | \n",
" NaN | \n",
" NaN | \n",
" 0.020000 | \n",
" aborted: neg. conc. in `A` | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.000000 | \n",
" -32.000000 | \n",
" 32.000000 | \n",
" 0.0 | \n",
" 0.010000 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.000000 | \n",
" -19.200000 | \n",
" 19.200000 | \n",
" 0.0 | \n",
" 0.006000 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.000000 | \n",
" -11.520000 | \n",
" 11.520000 | \n",
" 0.0 | \n",
" 0.003600 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.000000 | \n",
" -6.912000 | \n",
" 6.912000 | \n",
" 0.0 | \n",
" 0.002160 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.000000 | \n",
" -4.147200 | \n",
" 4.147200 | \n",
" 0.0 | \n",
" 0.001296 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 6 | \n",
" 0.000000 | \n",
" -2.488320 | \n",
" 2.488320 | \n",
" 0.0 | \n",
" 0.000778 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 0.000778 | \n",
" -1.879205 | \n",
" 1.879205 | \n",
" 0.0 | \n",
" 0.000622 | \n",
" | \n",
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" | 8 | \n",
" 0.001400 | \n",
" -1.795128 | \n",
" 1.795128 | \n",
" 0.0 | \n",
" 0.000622 | \n",
" | \n",
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" 0.002022 | \n",
" -1.371909 | \n",
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" 0.000498 | \n",
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" 0.003017 | \n",
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" | \n",
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" 0.003515 | \n",
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" 0.0 | \n",
" 0.000498 | \n",
" | \n",
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" 0.004012 | \n",
" -1.186325 | \n",
" 1.186325 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
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" 0.004510 | \n",
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" 0.0 | \n",
" 0.000498 | \n",
" | \n",
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" 0.005008 | \n",
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" 0.0 | \n",
" 0.000498 | \n",
" | \n",
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" 0.006998 | \n",
" -0.954861 | \n",
" 0.954861 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
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" 0.007496 | \n",
" -1.381577 | \n",
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" 0.0 | \n",
" 0.000746 | \n",
" | \n",
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" 0.008243 | \n",
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" 0.0 | \n",
" 0.001680 | \n",
" | \n",
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" | 31 | \n",
" 0.020000 | \n",
" -1.866292 | \n",
" 1.866292 | \n",
" 0.0 | \n",
" 0.002519 | \n",
" | \n",
"
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" \n",
" | 32 | \n",
" 0.022519 | \n",
" -1.545670 | \n",
" 1.545670 | \n",
" 0.0 | \n",
" 0.002519 | \n",
" | \n",
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" | 33 | \n",
" 0.025039 | \n",
" -1.283713 | \n",
" 1.283713 | \n",
" 0.0 | \n",
" 0.002519 | \n",
" | \n",
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" \n",
" | 34 | \n",
" 0.027558 | \n",
" -1.604351 | \n",
" 1.604351 | \n",
" 0.0 | \n",
" 0.003779 | \n",
" | \n",
"
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" \n",
" | 35 | \n",
" 0.031337 | \n",
" -1.210200 | \n",
" 1.210200 | \n",
" 0.0 | \n",
" 0.003779 | \n",
" | \n",
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" | 36 | \n",
" 0.035116 | \n",
" -0.923254 | \n",
" 0.923254 | \n",
" 0.0 | \n",
" 0.003779 | \n",
" | \n",
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" | 37 | \n",
" 0.038896 | \n",
" -1.070706 | \n",
" 1.070706 | \n",
" 0.0 | \n",
" 0.005669 | \n",
" | \n",
"
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" \n",
" | 38 | \n",
" 0.044564 | \n",
" -0.725549 | \n",
" 0.725549 | \n",
" 0.0 | \n",
" 0.005669 | \n",
" | \n",
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" | 39 | \n",
" 0.050233 | \n",
" -0.775920 | \n",
" 0.775920 | \n",
" 0.0 | \n",
" 0.008503 | \n",
" | \n",
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" | 40 | \n",
" 0.058736 | \n",
" -0.390338 | \n",
" 0.390338 | \n",
" 0.0 | \n",
" 0.006802 | \n",
" | \n",
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" | 41 | \n",
" 0.065538 | \n",
" -0.462090 | \n",
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" 0.010204 | \n",
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" 0.075742 | \n",
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" 0.008163 | \n",
" | \n",
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" | 43 | \n",
" 0.083905 | \n",
" -0.362328 | \n",
" 0.362328 | \n",
" 0.0 | \n",
" 0.012244 | \n",
" | \n",
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" \n",
" | 44 | \n",
" 0.096149 | \n",
" -0.239541 | \n",
" 0.239541 | \n",
" 0.0 | \n",
" 0.009796 | \n",
" | \n",
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" \n",
" | 45 | \n",
" 0.105945 | \n",
" -0.314953 | \n",
" 0.314953 | \n",
" 0.0 | \n",
" 0.014693 | \n",
" | \n",
"
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" \n",
" | 46 | \n",
" 0.120638 | \n",
" -0.257304 | \n",
" 0.257304 | \n",
" 0.0 | \n",
" 0.014693 | \n",
" | \n",
"
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" \n",
" | 47 | \n",
" 0.135332 | \n",
" -0.315733 | \n",
" 0.315733 | \n",
" 0.0 | \n",
" 0.022040 | \n",
" | \n",
"
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" \n",
" | 48 | \n",
" 0.157371 | \n",
" -0.229513 | \n",
" 0.229513 | \n",
" 0.0 | \n",
" 0.022040 | \n",
" | \n",
"
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" \n",
" | 49 | \n",
" 0.179411 | \n",
" -0.250266 | \n",
" 0.250266 | \n",
" 0.0 | \n",
" 0.033060 | \n",
" | \n",
"
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" \n",
" | 50 | \n",
" 0.212471 | \n",
" -0.147754 | \n",
" 0.147754 | \n",
" 0.0 | \n",
" 0.033060 | \n",
" | \n",
"
\n",
" \n",
" | 51 | \n",
" 0.245531 | \n",
" -0.130860 | \n",
" 0.130860 | \n",
" 0.0 | \n",
" 0.049590 | \n",
" | \n",
"
\n",
" \n",
" | 52 | \n",
" 0.295121 | \n",
" -0.075662 | \n",
" 0.075662 | \n",
" 0.0 | \n",
" 0.074385 | \n",
" | \n",
"
\n",
" \n",
" | 53 | \n",
" 0.369506 | \n",
" -0.009068 | \n",
" 0.009068 | \n",
" 0.0 | \n",
" 0.111577 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" START_TIME Delta A Delta B Delta C time_step \\\n",
"0 0.000000 NaN NaN NaN 0.020000 \n",
"1 0.000000 -32.000000 32.000000 0.0 0.010000 \n",
"2 0.000000 -19.200000 19.200000 0.0 0.006000 \n",
"3 0.000000 -11.520000 11.520000 0.0 0.003600 \n",
"4 0.000000 -6.912000 6.912000 0.0 0.002160 \n",
"5 0.000000 -4.147200 4.147200 0.0 0.001296 \n",
"6 0.000000 -2.488320 2.488320 0.0 0.000778 \n",
"7 0.000778 -1.879205 1.879205 0.0 0.000622 \n",
"8 0.001400 -1.795128 1.795128 0.0 0.000622 \n",
"9 0.002022 -1.371909 1.371909 0.0 0.000498 \n",
"10 0.002519 -1.322896 1.322896 0.0 0.000498 \n",
"11 0.003017 -1.275671 1.275671 0.0 0.000498 \n",
"12 0.003515 -1.230168 1.230168 0.0 0.000498 \n",
"13 0.004012 -1.186325 1.186325 0.0 0.000498 \n",
"14 0.004510 -1.144080 1.144080 0.0 0.000498 \n",
"15 0.005008 -1.103376 1.103376 0.0 0.000498 \n",
"16 0.005505 -1.064155 1.064155 0.0 0.000498 \n",
"17 0.006003 -1.026363 1.026363 0.0 0.000498 \n",
"18 0.006501 -0.989949 0.989949 0.0 0.000498 \n",
"19 0.006998 -0.954861 0.954861 0.0 0.000498 \n",
"20 0.007496 -1.381577 1.381577 0.0 0.000746 \n",
"21 0.008243 -1.308275 1.308275 0.0 0.000746 \n",
"22 0.008989 -1.238978 1.238978 0.0 0.000746 \n",
"23 0.009736 -1.173464 1.173464 0.0 0.000746 \n",
"24 0.010482 -1.667290 1.667290 0.0 0.001120 \n",
"25 0.011602 -1.535536 1.535536 0.0 0.001120 \n",
"26 0.012722 -1.414563 1.414563 0.0 0.001120 \n",
"27 0.013841 -1.303483 1.303483 0.0 0.001120 \n",
"28 0.014961 -1.802224 1.802224 0.0 0.001680 \n",
"29 0.016641 -1.591470 1.591470 0.0 0.001680 \n",
"30 0.018320 -1.406522 1.406522 0.0 0.001680 \n",
"31 0.020000 -1.866292 1.866292 0.0 0.002519 \n",
"32 0.022519 -1.545670 1.545670 0.0 0.002519 \n",
"33 0.025039 -1.283713 1.283713 0.0 0.002519 \n",
"34 0.027558 -1.604351 1.604351 0.0 0.003779 \n",
"35 0.031337 -1.210200 1.210200 0.0 0.003779 \n",
"36 0.035116 -0.923254 0.923254 0.0 0.003779 \n",
"37 0.038896 -1.070706 1.070706 0.0 0.005669 \n",
"38 0.044564 -0.725549 0.725549 0.0 0.005669 \n",
"39 0.050233 -0.775920 0.775920 0.0 0.008503 \n",
"40 0.058736 -0.390338 0.390338 0.0 0.006802 \n",
"41 0.065538 -0.462090 0.462090 0.0 0.010204 \n",
"42 0.075742 -0.278561 0.278561 0.0 0.008163 \n",
"43 0.083905 -0.362328 0.362328 0.0 0.012244 \n",
"44 0.096149 -0.239541 0.239541 0.0 0.009796 \n",
"45 0.105945 -0.314953 0.314953 0.0 0.014693 \n",
"46 0.120638 -0.257304 0.257304 0.0 0.014693 \n",
"47 0.135332 -0.315733 0.315733 0.0 0.022040 \n",
"48 0.157371 -0.229513 0.229513 0.0 0.022040 \n",
"49 0.179411 -0.250266 0.250266 0.0 0.033060 \n",
"50 0.212471 -0.147754 0.147754 0.0 0.033060 \n",
"51 0.245531 -0.130860 0.130860 0.0 0.049590 \n",
"52 0.295121 -0.075662 0.075662 0.0 0.074385 \n",
"53 0.369506 -0.009068 0.009068 0.0 0.111577 \n",
"\n",
" caption \n",
"0 aborted: neg. conc. in `A` \n",
"1 aborted: excessive norm value(s) \n",
"2 aborted: excessive norm value(s) \n",
"3 aborted: excessive norm value(s) \n",
"4 aborted: excessive norm value(s) \n",
"5 aborted: excessive norm value(s) \n",
"6 \n",
"7 \n",
"8 \n",
"9 \n",
"10 \n",
"11 \n",
"12 \n",
"13 \n",
"14 \n",
"15 \n",
"16 \n",
"17 \n",
"18 \n",
"19 \n",
"20 \n",
"21 \n",
"22 \n",
"23 \n",
"24 \n",
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"26 \n",
"27 \n",
"28 \n",
"29 \n",
"30 \n",
"31 \n",
"32 \n",
"33 \n",
"34 \n",
"35 \n",
"36 \n",
"37 \n",
"38 \n",
"39 \n",
"40 \n",
"41 \n",
"42 \n",
"43 \n",
"44 \n",
"45 \n",
"46 \n",
"47 \n",
"48 \n",
"49 \n",
"50 \n",
"51 \n",
"52 \n",
"53 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Concentration increments due to reaction 0 (A <-> B)\n",
"# Note that [C] is not affected\n",
"dynamics.get_diagnostic_rxn_data(rxn_index=0)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "71f62382-f07a-416d-876f-97832c1f79e5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reaction: B <-> C\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" START_TIME | \n",
" Delta A | \n",
" Delta B | \n",
" Delta C | \n",
" time_step | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.010000 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.006000 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.003600 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.002160 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.001296 | \n",
" aborted: excessive norm value(s) | \n",
"
\n",
" \n",
" | 5 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000778 | \n",
" | \n",
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" \n",
" | 6 | \n",
" 0.000778 | \n",
" 0.0 | \n",
" -0.018575 | \n",
" 0.018575 | \n",
" 0.000622 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 0.001400 | \n",
" 0.0 | \n",
" -0.032442 | \n",
" 0.032442 | \n",
" 0.000622 | \n",
" | \n",
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\n",
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" | 8 | \n",
" 0.002022 | \n",
" 0.0 | \n",
" -0.036448 | \n",
" 0.036448 | \n",
" 0.000498 | \n",
" | \n",
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" | 9 | \n",
" 0.002519 | \n",
" 0.0 | \n",
" -0.044387 | \n",
" 0.044387 | \n",
" 0.000498 | \n",
" | \n",
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" | 10 | \n",
" 0.003017 | \n",
" 0.0 | \n",
" -0.051978 | \n",
" 0.051978 | \n",
" 0.000498 | \n",
" | \n",
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" | 11 | \n",
" 0.003515 | \n",
" 0.0 | \n",
" -0.059234 | \n",
" 0.059234 | \n",
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" 0.004510 | \n",
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" | \n",
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" 0.006003 | \n",
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" 0.006501 | \n",
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" 0.000746 | \n",
" | \n",
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" | 20 | \n",
" 0.008243 | \n",
" 0.0 | \n",
" -0.170675 | \n",
" 0.170675 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 0.008989 | \n",
" 0.0 | \n",
" -0.180610 | \n",
" 0.180610 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 0.009736 | \n",
" 0.0 | \n",
" -0.189822 | \n",
" 0.189822 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 0.010482 | \n",
" 0.0 | \n",
" -0.297524 | \n",
" 0.297524 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 0.011602 | \n",
" 0.0 | \n",
" -0.315263 | \n",
" 0.315263 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 0.012722 | \n",
" 0.0 | \n",
" -0.330954 | \n",
" 0.330954 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 0.013841 | \n",
" 0.0 | \n",
" -0.344773 | \n",
" 0.344773 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 0.014961 | \n",
" 0.0 | \n",
" -0.535325 | \n",
" 0.535325 | \n",
" 0.001680 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 0.016641 | \n",
" 0.0 | \n",
" -0.559062 | \n",
" 0.559062 | \n",
" 0.001680 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 0.018320 | \n",
" 0.0 | \n",
" -0.577992 | \n",
" 0.577992 | \n",
" 0.001680 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 0.020000 | \n",
" 0.0 | \n",
" -0.889125 | \n",
" 0.889125 | \n",
" 0.002519 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 0.022519 | \n",
" 0.0 | \n",
" -0.914188 | \n",
" 0.914188 | \n",
" 0.002519 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 0.025039 | \n",
" 0.0 | \n",
" -0.928673 | \n",
" 0.928673 | \n",
" 0.002519 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 0.027558 | \n",
" 0.0 | \n",
" -1.402091 | \n",
" 1.402091 | \n",
" 0.003779 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 0.031337 | \n",
" 0.0 | \n",
" -1.400666 | \n",
" 1.400666 | \n",
" 0.003779 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 0.035116 | \n",
" 0.0 | \n",
" -1.381442 | \n",
" 1.381442 | \n",
" 0.003779 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 0.038896 | \n",
" 0.0 | \n",
" -2.025333 | \n",
" 2.025333 | \n",
" 0.005669 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 0.044564 | \n",
" 0.0 | \n",
" -1.937433 | \n",
" 1.937433 | \n",
" 0.005669 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 0.050233 | \n",
" 0.0 | \n",
" -2.749544 | \n",
" 2.749544 | \n",
" 0.008503 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 0.058736 | \n",
" 0.0 | \n",
" -2.001123 | \n",
" 2.001123 | \n",
" 0.006802 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 0.065538 | \n",
" 0.0 | \n",
" -2.763615 | \n",
" 2.763615 | \n",
" 0.010204 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 0.075742 | \n",
" 0.0 | \n",
" -1.940327 | \n",
" 1.940327 | \n",
" 0.008163 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 0.083905 | \n",
" 0.0 | \n",
" -2.618807 | \n",
" 2.618807 | \n",
" 0.012244 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 0.096149 | \n",
" 0.0 | \n",
" -1.778500 | \n",
" 1.778500 | \n",
" 0.009796 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 0.105945 | \n",
" 0.0 | \n",
" -2.344137 | \n",
" 2.344137 | \n",
" 0.014693 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 0.120638 | \n",
" 0.0 | \n",
" -1.917467 | \n",
" 1.917467 | \n",
" 0.014693 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 0.135332 | \n",
" 0.0 | \n",
" -2.352600 | \n",
" 2.352600 | \n",
" 0.022040 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 0.157371 | \n",
" 0.0 | \n",
" -1.710189 | \n",
" 1.710189 | \n",
" 0.022040 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 0.179411 | \n",
" 0.0 | \n",
" -1.864795 | \n",
" 1.864795 | \n",
" 0.033060 | \n",
" | \n",
"
\n",
" \n",
" | 49 | \n",
" 0.212471 | \n",
" 0.0 | \n",
" -1.100982 | \n",
" 1.100982 | \n",
" 0.033060 | \n",
" | \n",
"
\n",
" \n",
" | 50 | \n",
" 0.245531 | \n",
" 0.0 | \n",
" -0.975033 | \n",
" 0.975033 | \n",
" 0.049590 | \n",
" | \n",
"
\n",
" \n",
" | 51 | \n",
" 0.295121 | \n",
" 0.0 | \n",
" -0.563972 | \n",
" 0.563972 | \n",
" 0.074385 | \n",
" | \n",
"
\n",
" \n",
" | 52 | \n",
" 0.369506 | \n",
" 0.0 | \n",
" -0.066295 | \n",
" 0.066295 | \n",
" 0.111577 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" START_TIME Delta A Delta B Delta C time_step \\\n",
"0 0.000000 0.0 0.000000 0.000000 0.010000 \n",
"1 0.000000 0.0 0.000000 0.000000 0.006000 \n",
"2 0.000000 0.0 0.000000 0.000000 0.003600 \n",
"3 0.000000 0.0 0.000000 0.000000 0.002160 \n",
"4 0.000000 0.0 0.000000 0.000000 0.001296 \n",
"5 0.000000 0.0 0.000000 0.000000 0.000778 \n",
"6 0.000778 0.0 -0.018575 0.018575 0.000622 \n",
"7 0.001400 0.0 -0.032442 0.032442 0.000622 \n",
"8 0.002022 0.0 -0.036448 0.036448 0.000498 \n",
"9 0.002519 0.0 -0.044387 0.044387 0.000498 \n",
"10 0.003017 0.0 -0.051978 0.051978 0.000498 \n",
"11 0.003515 0.0 -0.059234 0.059234 0.000498 \n",
"12 0.004012 0.0 -0.066168 0.066168 0.000498 \n",
"13 0.004510 0.0 -0.072791 0.072791 0.000498 \n",
"14 0.005008 0.0 -0.079117 0.079117 0.000498 \n",
"15 0.005505 0.0 -0.085155 0.085155 0.000498 \n",
"16 0.006003 0.0 -0.090917 0.090917 0.000498 \n",
"17 0.006501 0.0 -0.096413 0.096413 0.000498 \n",
"18 0.006998 0.0 -0.101653 0.101653 0.000498 \n",
"19 0.007496 0.0 -0.159970 0.159970 0.000746 \n",
"20 0.008243 0.0 -0.170675 0.170675 0.000746 \n",
"21 0.008989 0.0 -0.180610 0.180610 0.000746 \n",
"22 0.009736 0.0 -0.189822 0.189822 0.000746 \n",
"23 0.010482 0.0 -0.297524 0.297524 0.001120 \n",
"24 0.011602 0.0 -0.315263 0.315263 0.001120 \n",
"25 0.012722 0.0 -0.330954 0.330954 0.001120 \n",
"26 0.013841 0.0 -0.344773 0.344773 0.001120 \n",
"27 0.014961 0.0 -0.535325 0.535325 0.001680 \n",
"28 0.016641 0.0 -0.559062 0.559062 0.001680 \n",
"29 0.018320 0.0 -0.577992 0.577992 0.001680 \n",
"30 0.020000 0.0 -0.889125 0.889125 0.002519 \n",
"31 0.022519 0.0 -0.914188 0.914188 0.002519 \n",
"32 0.025039 0.0 -0.928673 0.928673 0.002519 \n",
"33 0.027558 0.0 -1.402091 1.402091 0.003779 \n",
"34 0.031337 0.0 -1.400666 1.400666 0.003779 \n",
"35 0.035116 0.0 -1.381442 1.381442 0.003779 \n",
"36 0.038896 0.0 -2.025333 2.025333 0.005669 \n",
"37 0.044564 0.0 -1.937433 1.937433 0.005669 \n",
"38 0.050233 0.0 -2.749544 2.749544 0.008503 \n",
"39 0.058736 0.0 -2.001123 2.001123 0.006802 \n",
"40 0.065538 0.0 -2.763615 2.763615 0.010204 \n",
"41 0.075742 0.0 -1.940327 1.940327 0.008163 \n",
"42 0.083905 0.0 -2.618807 2.618807 0.012244 \n",
"43 0.096149 0.0 -1.778500 1.778500 0.009796 \n",
"44 0.105945 0.0 -2.344137 2.344137 0.014693 \n",
"45 0.120638 0.0 -1.917467 1.917467 0.014693 \n",
"46 0.135332 0.0 -2.352600 2.352600 0.022040 \n",
"47 0.157371 0.0 -1.710189 1.710189 0.022040 \n",
"48 0.179411 0.0 -1.864795 1.864795 0.033060 \n",
"49 0.212471 0.0 -1.100982 1.100982 0.033060 \n",
"50 0.245531 0.0 -0.975033 0.975033 0.049590 \n",
"51 0.295121 0.0 -0.563972 0.563972 0.074385 \n",
"52 0.369506 0.0 -0.066295 0.066295 0.111577 \n",
"\n",
" caption \n",
"0 aborted: excessive norm value(s) \n",
"1 aborted: excessive norm value(s) \n",
"2 aborted: excessive norm value(s) \n",
"3 aborted: excessive norm value(s) \n",
"4 aborted: excessive norm value(s) \n",
"5 \n",
"6 \n",
"7 \n",
"8 \n",
"9 \n",
"10 \n",
"11 \n",
"12 \n",
"13 \n",
"14 \n",
"15 \n",
"16 \n",
"17 \n",
"18 \n",
"19 \n",
"20 \n",
"21 \n",
"22 \n",
"23 \n",
"24 \n",
"25 \n",
"26 \n",
"27 \n",
"28 \n",
"29 \n",
"30 \n",
"31 \n",
"32 \n",
"33 \n",
"34 \n",
"35 \n",
"36 \n",
"37 \n",
"38 \n",
"39 \n",
"40 \n",
"41 \n",
"42 \n",
"43 \n",
"44 \n",
"45 \n",
"46 \n",
"47 \n",
"48 \n",
"49 \n",
"50 \n",
"51 \n",
"52 "
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Concentration increments due to reaction 1 (B <-> C)\n",
"# Note that [A] is not affected. \n",
"# Also notice that the 0-th row from the A <-> B reaction isn't seen here, because that step was aborted\n",
"# early on, before even getting to THIS reaction\n",
"dynamics.get_diagnostic_rxn_data(rxn_index=1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "46fdcb5b-ed5f-43a9-9829-533039666d0c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "a539f288-e9bc-44c3-a03a-982174b2babf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "de51ec27-1d0f-4bfb-83f0-b1c79b436d75",
"metadata": {
"tags": []
},
"source": [
"# PART 3 : Re-run with very small constant steps, and compare with original run"
]
},
{
"cell_type": "markdown",
"id": "ff9fffab-a1f5-4497-9d7b-c3db023d1bd2",
"metadata": {},
"source": [
"We'll use **constant steps of size 0.0005** , which is 1/4 of the smallest steps (the \"substep\" size) previously used in the variable-step run"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "93418d81-12fa-417d-9906-1dd24a40de48",
"metadata": {},
"outputs": [],
"source": [
"dynamics2 = ReactionDynamics(shared=dynamics) # Re-use the same chemicals and reactions of the previous simulation"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "ecf2029b-57a7-4db4-9b30-c854da91fb76",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"dynamics2.set_conc([50., 0, 0.], snapshot=True)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "00777982-d633-4c12-8c92-2ece6bf00e5e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"800 total step(s) taken\n"
]
}
],
"source": [
"dynamics2.single_compartment_react(initial_step=0.0005, reaction_duration=0.4,\n",
" variable_steps=False,\n",
" snapshots={\"initial_caption\": \"1st reaction step\",\n",
" \"final_caption\": \"last reaction step\"},\n",
" ) "
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "6bb61113-a081-4366-893d-f94894c44ec2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (801) - only showing 1 every 6 lines\n"
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics2.plot_history(title=\"Coupled reactions A <-> B and B <-> C , re-run with CONSTANT STEPS\",\n",
" colors=['blue', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "markdown",
"id": "3e27e613-21d9-4e99-ba9a-87b3a5393a44",
"metadata": {},
"source": [
"_(Notice that the vertical steps are now equally spaced - and that there are so many of them that we're only showing some)_"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "e884f562-a723-4208-88e5-ba0bf36e5e3a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 24\n"
]
},
{
"data": {
"text/plain": [
"(0.011934802021672202, 24.03028826511689)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics2.curve_intersection(t_start=0, t_end=0.05, chem1=\"A\", chem2=\"B\")"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "5b01f35a-17ac-4965-8a21-f300783c1e2c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 65\n"
]
},
{
"data": {
"text/plain": [
"(0.03259520587890533, 9.081194286771336)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics2.curve_intersection(t_start=0, t_end=0.05, chem1=\"A\", chem2=\"C\")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "5dae6925-3f3b-49ca-81f9-3cb8f19fdd55",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Min abs distance found at data row: 159\n"
]
},
{
"data": {
"text/plain": [
"(0.07932921476313338, 23.238745930657448)"
]
},
"execution_count": 28,
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"source": [
"dynamics2.curve_intersection(t_start=0.05, t_end=0.1, chem1=\"B\", chem2=\"C\")"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "4fd2ea95-76e3-4cdf-9ea0-ecd37a515cb5",
"metadata": {},
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"data": {
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"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" B | \n",
" C | \n",
" caption | \n",
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\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" Initial state | \n",
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\n",
" \n",
" | 1 | \n",
" 0.0005 | \n",
" 48.400000 | \n",
" 1.600000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
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\n",
" \n",
" | 2 | \n",
" 0.0010 | \n",
" 46.857600 | \n",
" 3.132800 | \n",
" 0.009600 | \n",
" | \n",
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\n",
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" | 3 | \n",
" 0.0015 | \n",
" 45.370688 | \n",
" 4.600925 | \n",
" 0.028387 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.0020 | \n",
" 43.937230 | \n",
" 6.006806 | \n",
" 0.055964 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 796 | \n",
" 0.3980 | \n",
" 0.925494 | \n",
" 7.329151 | \n",
" 41.745354 | \n",
" | \n",
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\n",
" \n",
" | 797 | \n",
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" 0.925195 | \n",
" 7.327221 | \n",
" 41.747584 | \n",
" | \n",
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\n",
" \n",
" | 798 | \n",
" 0.3990 | \n",
" 0.924898 | \n",
" 7.325303 | \n",
" 41.749800 | \n",
" | \n",
"
\n",
" \n",
" | 799 | \n",
" 0.3995 | \n",
" 0.924602 | \n",
" 7.323396 | \n",
" 41.752002 | \n",
" | \n",
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\n",
" \n",
" | 800 | \n",
" 0.4000 | \n",
" 0.924309 | \n",
" 7.321501 | \n",
" 41.754190 | \n",
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\n",
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\n",
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801 rows × 5 columns
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" SYSTEM TIME A B C caption\n",
"0 0.0000 50.000000 0.000000 0.000000 Initial state\n",
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"2 0.0010 46.857600 3.132800 0.009600 \n",
"3 0.0015 45.370688 4.600925 0.028387 \n",
"4 0.0020 43.937230 6.006806 0.055964 \n",
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"796 0.3980 0.925494 7.329151 41.745354 \n",
"797 0.3985 0.925195 7.327221 41.747584 \n",
"798 0.3990 0.924898 7.325303 41.749800 \n",
"799 0.3995 0.924602 7.323396 41.752002 \n",
"800 0.4000 0.924309 7.321501 41.754190 last reaction step\n",
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"[801 rows x 5 columns]"
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},
"execution_count": 29,
"metadata": {},
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"source": [
"df2 = dynamics2.get_history()\n",
"df2"
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},
{
"cell_type": "markdown",
"id": "45d5883d-c2c6-40a7-80b4-8a5976b8dfcd",
"metadata": {},
"source": [
"## Notice that we now did 800 steps - vs. the 48 of the earlier variable-resolution run!"
]
},
{
"cell_type": "markdown",
"id": "0f590255-1555-43d5-9adb-ace15ac80aa4",
"metadata": {},
"source": [
"## Let's compare some entries with the coarser previous variable-time run"
]
},
{
"cell_type": "markdown",
"id": "bfef068e-d576-4c3c-bda8-b0b51c5f88da",
"metadata": {},
"source": [
"#### Let's compare the plots of [B] from the earlier (variable-step) run, and the latest (high-precision, fixed-step) one:"
]
},
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"cell_type": "code",
"execution_count": 30,
"id": "b2917e15-1c3a-4597-bc9b-22f0a83b3e08",
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"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": "Adaptive variable-step run"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
0.4810828075200001
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-1.795805069078828,
34.120296312497736
],
"title": {
"text": "B"
},
"type": "linear"
}
}
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Earlier run (using variable time steps)\n",
"fig1 = dynamics.plot_history(chemicals='B', colors='orange', title=\"Adaptive variable-step run\", \n",
" show=True)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "5de67f32-4aa4-4b30-a14f-c725ad694304",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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},
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},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
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Arv8iGJhDl5iBOXR9uSZM1zf5AYDRafWciTA9W7NkIkzXlwjT9SXC7H2JMHvDZRlh3m9D8X4ViPdYvpsYRlMi4WGOhKtdiV5ZkmBN8VFGhBWwc3IkTBexz9KJMH16joTpGhNhur5EmK4vEabrS4TZ+xJh9obLJsLcFyLxHvDFeziIj3CZR1QRCY73RA5wJaqKSNWRcD/zpyvRtMRfM0fG3GdCcZ4O4j/j/28sjC5zZCw8pST+CZ6YQCviQYQVobj4MjgSputLhOn6ciRM35cI0zUmwnR9iTBdXyLM3pcIszdc8hHm+CKlO+tSejhsv9rgSFeCkzwJjvNyCZigc5+LxHnCF++xUJyOA2r+Ca4Ery3FR8lsHkSYjd7geYmwwUY2UxBhNnrp5uVIWDqnvFMRYXnl0s1HhKVzyjsVEZZXLv185jOYR34BIiy/XXvOpXxNgvtSJOWtdTHRZB6N0zwJX1duHu0q6OE0RLxHA3Ef9MV7prke8wgPcSQ4pSTBazyJStlXRoRlN8syBxGWRSv7tERYdrOscxBhWcWyTU+EZfPKOjURllUs2/REWDavPFMTYXnU5uchwuz84rmXaoR5j4dS/k5dzOAbJroa76pYH50axOXuFHEfaEjJnPJoBvgwpzyWRIITPAlPLMWDe6R9EGFppfJNR4Tlc0s7FxGWVir/dERYfrs0cxJhaZTyT0OE5bdLMycRlkbJbhoizM6PCBORGzZvkS9+bWtb8sufu0rOOHVt+++3br1Lrr725vjvF56/Tj51xSUyXa20v78UI6z0o4aUf9I8RzA40pHGO6aa13wN8WEG/YivQftdx9GxFY74Z5UlOGbwqYpEmO7GIsJ0fYkwXV+zdCJM15gI0/UlwnR9iTBd3+QzWH8t47uGiY+wnbt2y5du+bZc9sF3x2H12Lbt8olNN8lnNl4qxx21Ru657yG5fvMWufGaj8rKFTNxsJnHxzasX5IRZq7NKn+7LuYomHn4Z5alcXq+676K2u2dPZF4v/Cl/NP5C8fCI1xpnF2WsM+RMSKsqC3QezlEmK4vEabrS4Tp+xJhusZEmK4vEabrS4TZ+058hHUTmii77KrPyuUb1sdHw0x0HX3karn4gnPiSbujzHxtKR0Jq/zvWnzkyYxs2HhnRYI1g4842e9G6Zbg7I7EHKHrHCDEP9aV4KyyhAfue5oiEZbONe9URFheuXTzEWHpnGym4kiYjd7geYmwwUY2UxBhNnqD5yXCBhvZTsHpiHaCRFiXn4msjZtuks3XXi5rDj9UPnndzbLu9JPaEdZ9pMzM/tQLs3ZboaC5PXMK4r1BfA1W4+Kp+D5eS/HhvBBJ6Z8b4m2bH63RP9mT4MzyglMmpyueVMqe7NpbX4ovY9k/p4rnysz+ZdnxUut+Bcv+FS2tF+A5jhyyYkqefbF1ceTSenpj8WyOOHh6yXz+jgVo14tYdVBVnt9VkzCaP6V8HF/nqF7TITNTsnu2IXV//t/CUT2XcVzvQftXZK4RyFw93/1Qx9Gk6NdkPoN55Bcgwlp2Jq42XHm9PPXMDkmuCZudq8cR9t6Lzm1fI9YrwpbCv0/Bb3zZ/dXd8as54IMzUjoyx3CE+fejXHMGTwYy+48vi/+E35y/IjJ99rRMnVkVKYk4rYZcCr65XuBSn8kRMcT4Km0ofJVg5xdrPiPYf/WYY1+zeBpMBRlfFdb2QvkZQtfXLD0x1l/TeK6BCOvarp2nI5689thUR8JGfTqiu1ek8rW5eBRE/00labxx6QdYJ7s5Ilb6l0Z7GP1wf5FgXUUqp5SlUvHkxT0cCdP4+OF0RA3V+WVyOqKur1k6pyPqGnM6oq4vpyPq+nI6oq5v8hmsv5bxXQMR1mPbdl4HttSvCXNCkco3a/GNk4M1jtTfPbVs91ZzrZi5ZsxcOxY/DnWlfF5VXjqMUzU0NioRpqFKhOmqLlw6EaarTYTp+hJhur5EmK4vEWbvO/ERZk4vvOMHP5G/+PcXxZrJaYmbNl4an4K41EdHLP2gIeX7AwmnRervrw59GHr7XXDfJZTuD6R0T6N9nzETl/45FQkPXprXuGkYDGOZRJiuMkfCdH05EqbvS4TpGhNhur5EmK4vEWbvO/ERllz3dfsdd7c1l8t9wkq/DqX8981T9WrvqYgZ9n1cHo4vMn1/KOG9dXEaIpEn4p9bEf+E8XmNo95WRJjuFiDCdH2JMH1fIkzXmAjT9SXCdH2JMHvfiY8we8LRDFFvTtmb+lpNTKw03lwW/w2jvRdYEY7dy4iHqA9c2ftPL4s5OmYe4eGuNM4rc1SsAHAirADEPosgwnR9iTB9XyJM15gI0/UlwnR9iTB7XyLM3nAk9wkrf7cupUdCCV7pSP33l+91YP34O+8T5u4UKX2/Lt721k2oT/TEf/PCIe0L2JQTtQgiTHdzE2G6vkSYvi8RpmtMhOn6EmG6vkSYvS8RZm849Agz99mq3tK8t1PtT6oSHlTAi1iCi+h1s2bv0UBK/7ch7ssi0ZSIv64s/mvH7yjgMDYHEaarTITp+hJh+r5EmK4xEabrS4Tp+hJh9r5EmL3h0COs8g8N8R4LpHG6J/6Z5QJewdJcRK8IM8/UnIJpBu4o/WvrFMVDHWmcU5ZwNdeLZdmSRFgWrezTEmHZzbLOweiIWcWyTU+EZfPKOjURllUs2/REWDavPFObz2Ae+QWIsPx27TmHeZ8wd1ckU1+tSVQSqf15VaLxbTBZLMISePdFc4piTbwnm0Pa+2td8c+qjMUIkQXslgMXQYQNJLKagAiz4ks1MxGWiin3RERYbrpUMxJhqZhyT0SE5aZLPSMRlpqq54REmJ1fPPcwI6zynYaYU/IaZ5TEP2N53ZQ5K/WgCEuWZ0aJNKcoOnsiiSoiwZvK0jjFE2FE+77kRFjWPTLb9ERYNq88UxNhedTSz0OEpbfKMyURlkct/TxEWHqrvFMSYXnlmvMRYXZ+Q42wBUfBPliNr4ka50faCIt3ZF/Eu7chpfsCMTewNtfJNd5e4RTFPjsIEab77iHCdH3N0okwXWMiTNeXCNP1JcJ0fZPPYP21jO8aiLACtu2wjoRVvtsQ75FA/NNK0lg33kfBzGbJEmHJZnRfiqT0T/X2KYrBqz3x31KWcL8CNvSYLYII092gRJiuLxGm70uE6RoTYbq+RJiuLxFm70uE2RsO5XTE9lEwT6T2ofE/CpY3wpLNGZ+i+MOGmPupmevngjeWxT/Vk4ixO9p7PBFWwJu/zyKIMF1fIkzflwjTNSbCdH2JMF1fIszelwizNxxKhJXvaEjpV4H4p5akcdb4HwWzjTAzvxOIeGYUxeQUxRlH/PMq8b3VeIgQYbp7ARGm60uE6fsSYbrGRJiuLxGm60uE2fsSYfaG6hG24CiYuRasWsCTXgaLyHM6Yq+XFZ+ieGddvN81R1EMjnGl8dayRAdMdowRYbpvAiJM15cI0/clwnSNiTBdXyJM15cIs/clwuwN1SOs/L2GlB4KxH+9J42zx3hM+q5tUVSEJYv1fhNK2YyiaE5R9ESC08vinza5pygSYQW8+fssggjT9SXC9H2JMF1jIkzXlwjT9SXC7H2JMHtD1QgzwVD9u5pEjkj9z6oTNcBE0RFmNnV8iuJPGlL6aXMUxWjGkcZbyvHRsUl7EGG6W5wI0/UlwvR9iTBdYyJM15cI0/Ulwux9iTB7Q9UIM/e/Kv88EP9kTxrnTM5RMLNZNCIs2dwmbsvfb4j3eBh/yVwn5r+tIuGKyTlFkQgr4M3PkTBdxAFLZ4h6XX4iTNeXCNP1JcJ0fYkwe18izN5QLcLMkZqpL86K03Ck9r4pCQ+enEDQjrBks7tPhFK5s3WKoivxCIpmJEUzouK4P4gw3S3MkTBdX46E6fsSYbrGRJiuLxGm60uE2fsSYfaGahHmPRpI5TsNCVY5Uv+jMb8zc4/toHkkrHt15XsDKf24EX853F/EP7ss5h5j4/wgwnS3LhGm60uE6fsSYbrGRJiuLxGm60uE2fsSYfaGahFW2VoX77eh1M8vS3DCeAdBr80wzAgz63f2RFK+qxGbxzG22pXGeRUJVxawkyzBRRBhuhuFCNP1JcL0fYkwXWMiTNeXCNP1JcLsfYkwe0OVCDOnIJpTEc2j9uFpicrN4dUn6THsCEtszSmK5noxM7S9OCKNUzwJzqyM3TYgwnTfTUSYri8Rpu9LhOkaE2G6vkSYri8RZu9LhNkbqkSY93AglX9sSHC0K/ULKgU8y+W3iFFFmJEyoyiamzx79zbi/4+mRfw3V8RfOz6jKBJhuu8JIkzXlwjT9yXCdI2JMF1fIkzXlwiz9yXC7A1VIqxye128baHU/01ZgtdM3qmIZrOMMsKS3cKcomhGqCz9unWK4mGONN5ekfCQ5T9IChFWwJu/zyKIMF1fIkzflwjTNSbCdH2JMF1fIszelwizNyw8wjgVsblRlkKEJbuH92QkpX+qN09RFBH/tZ74by5LtIwPUhJhBbz5iTBdxAFLZ4h6XX4iTNeXCNP1JcJ0fYkwe18izN6w8AgrPRRI+XuTfSriUosw83ziUxR/1jpF0ReJqiL+meU4yJbjgwjT3WocCdP15UiYvi8RpmtMhOn6EmG6vkSYvS8RZm9YeIRN3d4Qd1sg9XeUJTh+ef6AXwDrkjoS1vl63L0i3g/q86coHtI6RfGw5XWKIhFWxF66+DKIMF1fIkzflwjTNSbCdH2JMF1fIszelwizNyw0wsypiNX/NiuRI1K7tCrR5DbYko2wZJeJT1H8fk3cF5tfMYN2+GdV4iNky+FBhOluJSJM15cI0/clwnSNiTBdXyJM15cIs/clwuwNC42w0i8DKf9TQ4JjXKn/u2V8wVEBrkvpmrBFX07YPEWxdE9DHHOKYkUkeFM5HtbeDG+/lB9EmO7WIcJ0fYkwfV8iTNeYCNP1JcJ0fYkwe18izN6w0Aib+j8NcR8PJnpUxGSTLIsIaz1Zc4pi6YcN8R4N4q+EB0lzFMXVS3dIeyKsgDd/n0UQYbq+RJi+LxGma0yE6foSYbq+RJi9LxFmb1hYhDlzItUvzXEqYmubLKcIS3Yjb3sopTvr7VMUg1d74r+lLOF+BexoBS+CCCsYtGtxRJiuLxGm70uE6RoTYbq+RJiuLxFm70uE2RsWFmHeg75U7vQlONaV+rsm+1REs1mWY4Q1D4OJlO73pfTjhphr/KKSSPDGsvinehItoQNjRFgBb36OhOkiDlg6Q9Tr8hNhur5EmK4vEabrS4TZ+xJh9oaFRVjltrp4T4QTPypiskmWbYS1XoD7soj3w7qUHmnd6HnGEf+8igSvXBoXixFhBbz5iTBdRCJspL5EmC4/EabrS4Tp+hJh9r5EmL1hIRHWPhXRFan9h8keFXFcIix5He7ToZTNjZ53Nr9iBl1pvLUs0QGjjTEirIA3PxGmi0iEjdSXCNPlJ8J0fYkwXV8izN6XCLM3LCTCvAd8qXzfl+A4V+rv5FREs1mW+5GwBbtWJFK+PxDvR/XmKYqeSHB6WfzTRneKIhFWwJufCNNFJMJG6kuE6fITYbq+RJiuLxFm70uE2RsWEmGcirjvhhirCGu9PGfWjKJYl9LDzVMUI3OK4tll8Y8d/sViRFgBb34iTBeRCBupLxGmy0+E6foSYbq+RJi9LxFmb2gdYeb+UlP/bU6cUGTuw1WJpgp4UmOwiHGMsGSzxKco3tkQ94Uo/lLwiub1YuGBwztFkQjTfZMwOqKub/IDwPYds/ormtA1EGG6G54I0/UlwnR9iTB7XyLM3tA6wkq/DqX893UJD3Ok9l4KLNkk4xxhyWss/zwQz4yiWG9+pXF2SYLXluIRFbUfRJiuMBGm60uE6fsSYbrGRJiuLxGm60uE2fsSYfaG1hFWvqshpV8E0jjNE39duYBnNB6LmIQIM1vKDMpS+ue6lB5qjaJ4sCPBiZ4EJ5fia8e0HkSYlmxzuUSYri8Rpu9LhOkaE2G6vkSYri8RZu9LhNkbWkfY1NcMqDQRAAAgAElEQVRr4u6IpPaeioRHDP/aoAIIVBYxKRGW4HnPRFL6YUPMqYrmEVVF/NPKEpzsqRwZI8JUdtv2QokwXV8iTN+XCNM1JsJ0fYkwXV8izN6XCLM3tIowM1Je9aZZEUdkdkNVhAZrb5FJi7B2jG2PxLunLt6TzevFzDWCwevL4r/Ok6jAgTOJsALe/H0WQYTp+hJh+r5EmK4xEabrS4Tp+hJh9r5EmL2hVYS5jwcy9X8a8REwcySMx7zApEZYImCOiJXu8eMbeMcxVhHxT/EkOLVcyOAtRJjuu40I0/UlwvR9iTBdYyJM15cI0/Ulwux9iTB7Q6sIK//Il9JPfPFPK0lj3RBGYyjg9Q5rEZMeYe0Yez6S0o8a4m1rxVipFWNvKMenLOZ9EGF55dLNR4Slc7KZas0h01afvzbrnoR5iTDdrUyE6foSYbq+RJi9LxFmb2j1Q8DUt+ribg+ldmFZwqMUR2Eo4HUOexFE2EJxM5y9GUnRjKZpHmbQDv+1XnzT52g6+9YhwrKbZZmDCMuilW9aIiyfW9q5iLC0UvmmI8LyuaWdiwhLK5V/OvMZzCO/ABGW3649Z+771IQi1S+07g926bRE5eY1QDyaAkRY7z3BfVGk9OOGeI8GzRhzRYJWjIX7pd97iLD0VnmmJMLyqGWbhwjL5pV1aiIsq1i26YmwbF5ZpybCsopln54Iy27WOQcRZucXz503wsw1P1O31iU81JXaeq4H694URFj/ndPdFYl3b0NKD4ciUSvG1nrin16SaGbwTZ+JsALe/H0WQYTp+pqlE2G6xkSYri8RputLhOn6Jp/B+msZ3zVMfITNztXlk9fdLLffcXd7K3/5c1fJGaeubf/91q13ydXX3hz//cLz18mnrrhEpqvz0ZQ3wkr/6kv5X/x4sIXGW7k/GBGW74PG2R1J6V5fvF8F4pgzFR0R/zWu+G8q940xIiyfd9q5iLC0UvmnI8Ly26WZkwhLo5R/GiIsv12aOYmwNEp203AkzM5v4iNs567d8qVbvi2XffDdcVjdc99DsnHTTbL52svluKPWxH+/fvMWufGaj8rKFTNyw+YtsfjHNqxvy+eNsMrt9Xiwhfq/LUvwaq4HI8Is38x7Iin91BfvwY4Ye7UrwRkVCQ/ad9lEmJ33oLmJsEFC9t8nwuwN+y2BCNP1JcJ0fYkwXV+zdCLMznjiI6ybz0TZZVd9Vi7fsD4+Gmai6+gjV8vFF5wTT9odZeZreSPM3B/M3Ces9qGqZLmWx26TL5+5OR0x37ZyZkW8nzSk9EAgTvOyMfGPbR0ZO3j+NEUiLJ9v2rmIsLRS+acjwvLbpZmTCEujlH8aIiy/XZo5ibA0SnbTEGF2fkRYl99j27bLJzbdJJ/ZeKmsOfzQ+FTFdaef1I6wzu+bI2Xm8dyLc9m3wo5QSv+jJtEKR4I/sxhnPPual80c1Yon5ZIru19uLJvnvJSeqIkx5ycNce73xfGbzyw81pVoXUWiQ5zYdv9qSV7cU19KT3t5PZc+l965jiMHHVCRF3bXltdrWkbP9rAVVXluV47P32X0Gkf5VA+emYo/H8KIQaM0tsNB+1dk75wvjaA54i2PjAIDdsuZ/cpS90Op1Vu/jcy4eCYfLHDYQfz8Olhp8SmIsA6b5PqwJLqSv7/3onPb14j1ijDzJs/68O+rS+3bs+KdUpbq72UY0i7ripbx9K4j4jiOBCE/ANhsxmguksbdNWncWxNp9WzpxLJUzqpK+QhP/ADf3L596BxHpOQ50vDxze07YMZK2ZV6I/vnr9bzGbfllkuONMznA7uwyqY1nw9BFEnELpzPd8D4UyXXiX+BwI8Q+XjTzGXOqOGRX4AIa9klwbV61cHt6726o8xM2ivC8pyOWP7HejyqXeP8ivgnsBP32oU5HTH/G7vXnE5dpHR/IN59DXGSgzP7OdJY60p4SlnC/Ytd36QvjdMR9fcATkfUNeZ0RF1fTkfU9eV0RF1fs3ROR7QzJsJEpFeAJaxa14RV/3tNzKh2tQ9MSbhi8HDidpt5ec5NhOlsN3NqYum+QEr3+SL1+V9xB8e4EryuLMEr2B+LkCfCilDsvwwiTNeYCNP1JcJ0fYkwXV8izN534iOs19GuTlaN0RHdl0Wmvjwn0ZTI3Ic5n3ax3ZgIs3+D91vClOPKfttE9v54Vrxn52MsPNiR4JSSBCd4EpV0n8M4L50I09+6RJiuMRGm60uE6foSYbq+RJi978RHmDm9cMOV18tTz+xYoPnh91/QPi2x6PuEeY8EUvluQ4LjXKm/k5s0E2H2b+Q8S+gcHdF9PhLvfl+8h+dHVIzKkfhrSxK+rsTR2hzARFgOtIyzEGEZwTJOToRlBMs4ORGWESzj5ERYRrAck3M6Yg60jlkmPsLs+JpzZ70mrHxXQ0q/CKTxlrL4r+P+YERYEXth9mX0HKK+LlL+VSDuLxri7pxfZnCkOTpWluAoN74ZNI/BAkTYYCPbKYgwW8H+8xNhur5EmK4vEabra5ZOhNkZE2F2frkibGpLXdznQ6n9UUXCVQzKQYQVsBPmWMSg+4R525tHx9zftG7+LCLRjCP+ySUJTvQk4kzavupEWI6dMuMsRFhGsIyTE2EZwTJOToRlBMs4ORGWESzH5ERYDrSOWYgwO7/MEWZuzmxu0mxO9Zr7D9McVejjzzVhBeycfRYxKMKSWc39xkoPBuI94Iuzp3ntWOSKBK9pDuQRHsqhsV7MRJju/pv8FjbrmQj6z2p81kCE6W5LIkzXlwjT9U0+g/XXMr5rIMIK2LZZfghwtwUydXtDgiNdqV/E9WD9+ImwAnbOAiKsvYhIxNsWNq8de2L+xjbB4U48xL25xjHi7No2FxGmu/8SYfq+RJiuMRGm60uE6foSYfa+RJi9YaZrwso/8qX0E18abyqJ/0aGniPCCtgBcy4i7ZGwXos3t1fwfuFL6ZeBOHPNKczpif5JHvcca4ERYTl3zAyzcTpiBqwckxJhOdAyzEKEZcDKMSkRlgMt4yycjpgRrGtyIszOL547y5Gwyrfq4m0Ppf7uigRruB6MCCtgB8y5CJsI61yluel4fO3YM/NHx/xjmzeAnuR7jhFhOXfMDLMRYRmwckxKhOVAyzALEZYBK8ekRFgOtIyzEGEZwYgwO7Bec2eJsOrmOXECkblLp+PrwngsLsDpiLp7R1ERljxL54VISr/wxXsoEHNDaPMwNyIP1pXFP27yfuFAhOnuv2bpRJiuMRGm60uE6foSYbq+yWew/lrGdw0cCStg26aNMHdHJFNfr0l4kEjtTxhabhA9ETZIyO77RUdYO8Z8Ee9XQfPo2AsdN4Fe7cbXjYWvLkm4v91zXw5zE2H6W4kI0zUmwnR9iTBdXyJM15cIs/clwuwNU5+OWHoolPL36hK82pP6vy0XsObxXgQRprt9tSKs81m7T4fi/jaQ0iOhmOvIkkd4hBu/D4Ljx3eoeyJMd//lSJi+LxGma0yE6foSYbq+RJi9LxFmb5g6wsrfb0jpgUAaZ5XEP5VBOQbRE2GDhOy+P4wI63yG3jORuL/yxX0sEHd2/jvBKx0JTyiLf4wrMkYDhhJhdvtnmrk5EpZGKf80RFh+uzRzEmFplPJPQ4Tlt0s7J9eEpZXqPR0RZucXz532dMSpb9bjwQvqF01JcCT3VhpET4QNErL7/rAjbEGQ/S4S9+GGeI+G7evHzPeDV7kSHl9qDne/zH9PQYTZ7Z9p5ibC0ijln4YIy2+XZk4iLI1S/mmIsPx2aeckwtJKEWF2Un3mThth1S/MxT9wzn2wKtEEXBNjC06E2Qr2n3+UEZY8MycU8X4TivOIL95vQzF/Nw9zv7HgKFei15QkONqNbw693B5EmP4WI8J0jYkwXV8iTNeXCNP1NUsnwuyMl8yRsBs2b5Evfm1r/Go+feUlcvEF59i9siHOnSbCnD2RVP+2Fv92f+4vGJQjzeYhwtIo5Z9mKURY57N3Go545lRFc4Tsd/PXj5n3THBM8whZ+KrlE2REWP59M+2cRFhaqXzTEWH53NLORYSllco3HRGWzy3LXERYFq19px1JhD22bbtsuPJ6eeqZHXFwHblmlfzgRz+Xj21YL7NzdfnkdTfLutNPWjYhlibC3G2BTN3eEDMgQe09Y3Thi93+13duIkwRV0SWWoQtCLJZkdIjgTgP++I92xFkFZHA3IPs+LKYa8lkCZ/VS4Tp7r/Jb2HTfP7qP5PxXAMRprtdiTBdXyJM1zf5DNZfy/iuYegR1h1Zt269S66+9mb58ueukjNOXRtL33PfQ/KN2+6UT11xiUxXl36wpPkhoHSfL+V/9sV/rSeNtzEyYpq3FBGWRin/NEs5whYE2e5ISr8K4yNk7ovz34mqIsFxnoTHe0vyxudEWP59M+2cHAlLK5VvOiIsn1vauYiwtFL5piPC8rllmYsjYVm09p126BG2c9du2fjXN8kVH3mfHHfUGun+u3mK5kjZdZ+/RTZ9/FJZuWLG7hUOYe40EWaGpjdD1DfOKYt/sjeEZ7X8V0GE6W7D5RJhnQruc5F4DwfiPuqLu7cjyKZFgteXJVjjSLh6aVxARoTp7r/Jb2HTfP7qP5PxXAMRprtdiTBdXyJM1zf5DNZfy/iugQgrYNum+SGg8j9r8WlV9XdXluRv7QtgKHwRRFjhpAsWuBwjrPMFeE9G4poBPR7xxVxPljzia8jMKItHeRIeM7r7kBFhuvsvEabvS4TpGhNhur5EmK4vEWbvS4TZG6Yaor66eU6cQGTukqqY06h4DBYgwgYb2Uyx3CNsQZD9JhT3175420Jx5haqBKsciY4uNcNs1fAuIiPCbPbOdPNyOmI6p7xTEWF55dLNR4Slc8o7FRGWVy79fJyOmN6q15REmJ1fPPegI2HOrkiqX61JtJ8jcx+aKmCNk7EIIkx3O49ThHVKuc9HzRh7PBDv6VBkflwPCfeT5giLrSjTvBcZEaa7/ya/hR30+av/LMZ3DUSY7rYlwnR9iTBd3+QzWH8t47uGkUTYZVd9Vu7/5a/7qp5y4rFy4zUfHYtrwsx9kCrfrkvwSlfqv7/0BxpZKrs7Eaa7JcY1whao1UVKvwvF2RaI+3iw8DoyVyRc0zxK5h/jSjRT7FEyIkx3/yXC9H2JMF1jIkzXlwjT9SXC7H2HHmH2T3npLWHQb2JL9/pS/rEv/us9aZzNyIhptyARllYq33QTEWFdNO6OSNzHQ3Ef98V9KmrfHNpMFq5wJDzaa/53hGN9g2giLN9+mWUuTkfMopV9WiIsu1mWOYiwLFrZpyXCsptlnYPTEbOKLZyeCLPzi+ceFGGV7zTEezSQxnll8U9kZMS05ERYWql8001ihHVKOb6I+7tQzD38vMdDcXZ33I+sHElwpCfRMSUJjnJzXcdJhOXbL7PMRYRl0co+LRGW3SzLHERYFq3s0xJh2c2yzkGEZRUjwuzEesw9KMKqX6+LsyOU2h9OSXh4sac8Ff5iltACiTDdjTHpEdat6+4U8Z4IxNnmi/vkwqNk7cE9jnIlPCzde5gI091/zdKJMF1jIkzXlwjT9SXCdH2Tz2D9tYzvGjgSVsC2HRRh059vDtc29xdV0RwIoICXsqQWQYTpbg4ibHFfM5Kp+2TzKJm7LRT3pfmjZCbIzOAeMu1KuMaV8JDeUUaE6e6/RJi+LxGma0yE6foSYbq+RJi9LxFmb9j3dETz2/Wpr81JOONI7U8ZGTELNxGWRSv7tERYejMTYXGMmSgzA32E8/NG5UjCIzyJjmheSxasad4smghL75t3So6E5ZVLNx8Rls4p71REWF65dPMRYemcbKbidEQbPREizM4vnrvfkTD30UCmvtOIryupX8jIiFm4ibAsWtmnJcKym5k5TIA5z4bibY/EeTIQ9+lg4c2iXZHoMFeiV7gy8+qqvDDjS8TvX/JhD5iLCFNhbS+UCNP1JcJ0fYkwXV+zdCLMzpgIs/MbGGGle3wp3+OLf1pJGutKBaxtchZBhOluayKsIN9IJL432VOhyJOBeNtDcWoLlx2ulAVHy8ID011XVtAzHNvFEGG6m5YI0/UlwnR9iTBdXyLM3pcIszfseySs8vd18X4dSv0dZQmOZ2TELNxEWBat7NMSYdnN0s7hvBBJ+elIqs9FUvttY8H9ycwy4ptGr3ZFXuFJsNqV8FBHhC5Ly9uejgjLTJZpBiIsE1fmiYmwzGSZZiDCMnHlmpgjYbnY2jMRYXZ+8dz9Tkec+mpN3F2RzK2vSHRo81oRHukEiLB0TnmnIsLyyqWbr/OaMDP8vWdGXNzui7s9WjDQh1maGbAnXO1ItKYUx1n8/xw4HwhNhA0kspqACLPiGzgzETaQyGoCIsyKL9XMRFgqpkUnIsLs/PpGmBlhrbq5NTLihqpEHAjLpE2EZeLKPDERlpks0wz9BuZwZs3oi4G428Pmfy/Mj74Yr8SR+OiYOUoWHy07wpVoOtPqJ2JiIkx3MxNhur5EmK4vEabra5ZOhNkZE2F2fn0jzN0RydTXaxIe7EjtfVyZn5WaCMsqlm16IiybV9aps4yO6NSlFWSBONtD8Z7tijJzCuMKR8KjPQmP8SQqS+r7lWV93stpeiJMd2sRYbq+RJiuLxGm60uE2fsSYfaGi56O6D0SSuW7dQmO86T+znIBa5qsRRBhutubCNP1zRJh3c/E8UXcp8zoi348CqP7dMeY+B0Tm3uUmf/Mqc7RIZ6Eq5yJGomRCNPdh4kwXV8iTNeXCNP1JcLsfYkwe8NFI6x0d0PKPw3EP7MsjdM5FzErNRGWVSzb9ERYNq+sU9tEWK91mRBzGo44z4fiPh80/9y575Rm0I/oYEfCVe58nK3M+uyXx/REmO52IsJ0fYkwXV8iTNeXCLP3JcLsDReNsMrtdfG2hVJ/V0WCYxmUIys1EZZVLNv0RFg2r6xTFx1hvdZvrjs1w+ObIHOeC1uBFi24mbSZz1yPGh8xO6QZZuFhraNny3zwDyIs616ZbXoiLJtX1qmJsKxi2aYnwrJ55Zmaa8LyqM3PQ4TZ+cVzLzY6YvW/18SMijb3J1MSHcT401mpibCsYtmmJ8KyeWWdehgR1vM5mfuWvRDFcSbPBfGfrom0+r5ThzNO89qyQ7040sxgINHM8vmsIsKy7pXZpifCsnllnZoIyyqWbXoiLJtXnqmJsDxqRJidWtfcvSLMXNNR/cKcRK7I3F9WC13fpCyMCNPd0kSYru/IImyRlxUPk//cfJjFpzPu3XfiqGKOmplrzByJVjXjzJzeuBRHdyXCdPdhIkzXlwjT9SXCdH3N0okwO2OOhNn5xXP3ijD3mUimvlmT8DBXau+tFLCWyVsEEaa7zYkwXd+lFmG9Xq0zJ+I+F4lrTmVMTmfcte/IjPGQ+SvN6YzmaJnXPGJmBgMZ8bD5RJjuPkyE6foSYbq+RJiuLxFm70uE2Rv2jLDSQ6GUv1cX/wRXGucTYXmYibA8aunnIcLSW+WZcjlEWM8w8yUOsvhas2cDMbfaiE9t7PGIqs37mUWHuSJlNz6VMTxQRFa4YgYI0X4QYbrCRJiuLxGm60uE6foSYfa+RJi9Yc8IK//Ql9LPfGmcVRb/VEZGzMNMhOVRSz8PEZbeKs+UyzXCFnutzWvLmqczmtMa48FA/MVlzOmL5lrY8EBH5CBHogNdiUycrZDCrjsjwvLsmennIcLSW+WZkgjLo5Z+HiIsvVXeKTkdMa9ccz4izM4vnrvX6YiV22riPRFJ/fcqEryKkRHzMBNhedTSz0OEpbfKM+W4RVgvA3dXM8bMUPlRIxRnVyTx18x/fQLNLMvcfDoyN6A+yBHHxNmB5u+uhAel1ybC0lvlmZIIy6OWfh4iLL1VnimJsDxq2eYhwrJ5dU9NhNn5LRphU1+eE/dlkbk/m5LogOUz2lgBHIUtgggrjLLngogwXd9JiLB+gs6siLMrFHeXiOwK4jiTl1qRNtffPjmt0URZ/F98JM1p/tlxYgERprsPE2G6vkSYri8Rputrlk6E2RkTYR1+N2zeIkcfuVouvuCcBaq3br1Lrr725vhrF56/Tj51xSUyXZ2/zqv7SJi5oWr1pllGRrTbN4UIswQcMDsRpus76RHWN9DMTadfDMV5KRT3xWakOS+1oq3HiI2dywrNYCCt0xpnjpiSXWW/9XdHoindbTppSyfCdLc4EabrS4Tp+hJh9r5EmIh0Rtanr7xkQYTdc99Dcv3mLXLjNR+VlStmxISaeXxsw/q2fneEuc+GMvU/6/GNUef+mEE58u6mRFheuXTzEWHpnPJORYTlk3NCEXkxEvclc1pj8xTHZrCJuLsjkd5jhMQrMxFmTnOUA5vXnslB3lAHCsn3ipfuXESY7rYhwnR9iTBdXyLM3pcI6zDsdSSs+2vdUWZm744w79FAKt9pSHCcJ/V3lu230oQugQjT3fBEmK4vEabj24yz5lGzmbone5+ut2JNJA64RR7mptTRtCPR/o7IjCvRfhL/f/u/EQ+3r6Nlt1QizM5v0NxE2CAhu+8TYXZ+aebmdMQ0SotPQ4T1ibDZubp88rqbZd3pJ7WPjj22bbt8YtNN8pmNl8pxR62J5+6OsPI9vpTu8cU/vSSNM0t2W2iC5ybCdDc+EabrS4Tp+ia/he38/DU3n46Pnr1kjqaZ69AkPuUxPppW7/98IjN+0n5OfA2vGV7fxJmzv9uMtAMciVrfi8p9DsXpv+ShroEI0+UmwnR9iTBd3+QzWH8t47sGIixFhL33onPljFPXxlP2irCde7r+dd9aE/mVL867qhKdyPD0ed8+UyVXSiVX9s4NGGYt7womfL6S68p01ZPdLzcmXELn5buOIzP7lWXX3gE//eusfiKWan7I2ufzd7FXviMUZ2cksieScE8oYv7b2/y7s0dE6uniKjK/VzODLR3QjDSZccQ5wMSa+brb/J4Zln8MHiv2r8hLLzckitLZjMFLHupLmJkuy2w9ED/ocwh3qM9ovFa2f7UkDT+Uuo+v1pY1n8E88gsQYSkibNCRsNlasGAL1P52j0RPhzL1pweIcwTD0+fdPT3PEfODrPkQ5VG8gGvur+u5UmvgW7yuiOOITJVdmavjq+Frljk95Un352/udfki0e5IolagRSbWdgciuyX+WvyfGeEx7aPqiNMKNDlA4lBzZ7z21xwTa+bUyCX8qFaanw80mM5GMp8PjSCUkI8IFWBztkcQRRIEGd63Ks9kfBdqPoN55BcgwvpEmPlWnmvCqjfPiTMnUvtQNT6thUc+AU5HzOeWdi5OR0wrlW86TkfM55ZlrlEMUW8+252XI3HMqY97zZ/maFo4//97o/j2JGkf4f7SPAVylds8gjblSjTdHGREqo5E8X9pl1bsdJyOWKxn99I4HVHXl9MRdX3N0rkmzM6YCBsQYVlHR3QCkepm86+0yOxlI/qX026fWDJzE2G6m4II0/UlwnR9kx8Auq/J1V9rijVE0gyxVqQtCLXOgKulWFZrEhNl7SCbaoaZ+bsz7cbBFoda1W1+PQk4y3GhiLD02yfPlERYHrX08xBh6a3yTkmE5ZVrzkeEdQ1Rb1COOPwQ2Xzt5e2BN7LcJ8zdKTL1tbl4mOTaB7hpjc3uSYTZ6A2elwgbbGQzBRFmo5du3lEcCUv3zNJPFY/2uEfEfSoUeTkUc5NrqYXx2RTmP5kLxdx7Mu8jvq+aGRVyyhFpBZoZZCQ+4lYVcTqCzhx56zx7gwjLq55uPiIsnVPeqYiwvHLp5yPC0lv1mpIIs/OL514wOte2QKZub0jwSlfqv88Fiza8RJiN3uB5ibDBRjZTEGE2eunmHYcIS/VKIxGnJj0DTeaiVqyZP1v/X4viafsN2d9vvfEIkFVXvP1daZj/b4eatI68tU6RNF+PT53kRtmptmPXRERYHrX08xBh6a3yTkmE5ZVrzkeE2fntE2GlBwIpf78h/kmeNM61PBekgOe2nBdBhOluPSJM15cI0/U1S5+YCMtJ6ZiBZVthZiIuPqrWOsIWzYbiJLFmBvCcjZp/N0ffcj6ap0I6zSNvZkwqM5JkxZHI/D7S/DdlRgMSiSrO/J+V1t9bf07SLQCIsJw7WsrZiLCUUBaTEWEWeESYHV4yd+eRsPK/+FL6V18abyqJ/0buEWYjTITZ6A2elwgbbGQzBRFmo5duXiIsnVPWqeKjbrVIDilXZOfz9XagxeGWnCZZ4CmT3c+vGW1JvDkSlaJmuCUhZ468lee/lkTdgnmWwYkoRFjWPTPb9ERYNq88UxNhedTm5+FImJ1fPHdnhFX+oSHeY4HU31GW4HiG7rThJcJs9AbPS4QNNrKZggiz0Us3LxGWzinvVFmvCYsHI5mLRMwRtciJ770W3yS79WfUMEff5v8ef93cprAu4pj7tJk/F97xJe9Tj+cz93RLjsJ1H32TcusUyoobx1078pIjdcmROcXxtYgwq807cGYibCCR9QREmB0hEWbnt0+ETX2zJu4zkdTeU5GQe4RZ6RJhVnwDZybCBhJZTUCEWfGlmpkIS8WUe6KsEZZ7RZ0zmuvfknCLA21hyMU31U6CLfmz0Qq4jq/bDGbS63XEp1d6kYjniJQ6Trc0v2v1HIla34tv5h1/zZyO6bS/55RciTwRx4Rha54DZkoyGwTSkEicZDlmfrd59M+Jl9s8rTP+k0cmASIsE1euiYmwXGztmYgwO799Iqz65Vp8D5nZP5sSMTfj5JFbgAjLTZdqRiIsFVPuiYiw3HSpZyTCUlPlmnAkEZbrmfaeyYSYOcIWmSNz8VE3R5yuYDNH7RaEXhJ+nQG4RO71u08ItmLPhF8z2JqRmISbxNfldYRg2Z2/Vq8dfa2wNHG5ICRby4vnb0blcgtBIqzAN9MiiyLC7IyJMDu/hREWikz/DfcIK4A0XgQRVpRk7+UQYbq+RJiur1k6EaZrvNwjrEgdc5pkFLROlwyi5mmT5u+++VK+NSwAABsJSURBVLr5uyOSfD35mhkYpfW9yA+b88Rfa3696nrSqIUS+qGI3zF/sjw/ak7r5x/pskgDs6z2gCutwGse1Wue+tkzBOMjh/MRlxwRbB4pXHgUMQ5IcwQwPhLYEX5JCJojgma9KR9EWEooi8mIMAs8Buaww0vmTq4Jc3dFMvXVmoQHOlL799wjzFaXCLMV7D8/EabrS4Tp+hJh+r5EmK5x1mvC2hEXmjDrCL9W7EkrBOPwa0VdZ8TF1+Ql05jAi5czH5YSOs3ltkKxuT4Tgs2jiEvpEV/r1yME4yN/bvPoXnnKldCN4r7tG4Kt0z/jU03j/+LcnA8+1yyzuT5zUNREolmHuexRnObfkzg0fzpmugkZl40Is3tXcCTMzi+eO4kw74lIKrfVJHiFI/U/IMJsaYkwW0EiTFew/9KJMH19joTpGhNhur5ZI0z32aRbehKCzSODrdgLk3CLmkcLTcTFX5s/uhe1Yq95RLD59WbgzR9RNPOYEIxPGe08ArhEQzCd2PxU8VFDE26toDP/b0Iujjrz/+brThRfExhP1/paZ+TFgWkerTBM4q85jbmgMllHKxxbRy/jMEyOIsah6DajMp6+dfQxeW7xn53PoeP77WmasXr4KftlZWD6DgEirIDdIYmw0oOBlO9siL/Wlcbbl8H4uAW8ds1FEGGauiIcCdP1JcJ0fc3SiTBdYyJM13c5RpiuSLql9wzBVtTFNyhvBdz+ZU/8WiT1uSC+cXlnCLZP8YyPKLZONU2OKEZO3ELmsFdkYtIss/X3dih2fr/9PROfzWmLHOUzncpoplp59crRrHhM1kqEFbAh2xF2d0PKPw3EP7MsjdMZysiWlgizFew/PxGm60uE6foSYfq+RJiuMRGm67uUrgmLoyyOuvnr++IwNEf/TLSZkAudZvS1oq79fXOwKo47pxV5rVNJW/M1Q9EcNmvFYmuZJgjNsprraIVlvM5wPha7nlMckcn8Zvmt5zT/HFvfN5suEjn0koN0N+KYL50IK2ADJxFW+W5DvEcCqZ9fluAEIsyWlgizFSTCdAX7L50I09fnSJiuMRGm60uE6foupQjTfaWjWzrXhNnZE2F2fvHcSYRN3VoX9+lQan9QkfAVGYbwKeA5jOMiiDDdrcqRMF1fIkzXlyNh+r5EmK4xEabrS4Tp+iafwfprGd81EGEFbNskwqpfmRNnr8jcn05JNLO0RhIq4GUOfRFEmC45EabrS4Tp+hJh+r5EmK4xEabrS4Tp+hJh9r5EmL1h80hYco8wEZn9SLWApbIIIkx3HyDCdH2JMF1fIkzflwjTNSbCdH2JMF1fIszelwizN4wjzNkVSfWrtfgImDkSxsNegAizN+y3BCJM15cI0/UlwvR9iTBdYyJM15cI0/Ulwux9iTB7wzjCvN+FUvnf9fhaMHNNGA97ASLM3pAI0zXst3QiTN+egTl0jYkwXV8iTNeXCNP1JcLsfYkwe8NmhD3oS+VOX/wTPGmcXy5gqSyCCNPdBzgSputLhOn6ciRM35cI0zUmwnR9iTBdXyLM3pcIszeMI6z0Y1/K9/rSOKMk/hmlApbKIogw3X2ACNP1JcJ0fYkwfV8iTNeYCNP1JcJ0fYkwe18izN4wjrDKPzbEeziQxnll8U/kHmEFsAoRVoTi4ssgwnR9iTBdXyJM35cI0zUmwnR9iTBdXyLM3pcIszeMI2zqW3Vxt3OPsAI424sgworU3HdZRJiuLxGm60uE6fsSYbrGRJiuLxGm60uE2fsSYfaGcYRV/7Ymzp5I5j4wJdEK7hFWACtHwopA7LMMIkwXmAjT9SXC9H2JMF1jIkzXlwjT9SXC7H2JMHtD2f7crEz/zVy8pNm/rIq4BSyURRBhyvsAEaYLTITp+hJh+r5EmK4xEabrS4Tp+hJh9r5EmL2hPPWbl6X6dzUJ9xepfZAbNRdAGi+C0xGLkuy9HCJM15cI0/UlwvR9iTBdYyJM15cI0/Ulwux9iTB7Q3n6/r3xNWHhEa7U3sM9wgogJcKKQuyzHCJMF5kI0/UlwvR9iTBdYyJM15cI0/Ulwux9iTB7Q3n2h3uk/L2GBMd7Un8H9wgrgJQIKwqRCBuCZO9VEGH69NysWdeYCNP1JcJ0fYkwXV8izN6XCLM3lOf+freU7vGlcXpJ/DO5R1gBpERYUYhE2BAkibBRIRNhuvJEmK4vEabrS4Tp+hJh9r5EmL2hPPeNl6T0UCD1t5UkeC0RVgApEVYUIhE2BEkibFTIRJiuPBGm60uE6foSYbq+RJi9LxFmbyg7vrgrvkdY/aKKBEcyNGIBpERYUYhE2BAkibBRIRNhuvJEmK4vEabrS4Tp+hJh9r5EmL2hvPBfXxTnpUhq75+ScCX3CCuAlAgrCpEIG4IkETYqZCJMV54I0/UlwnR9iTBdXyLM3pcIszeUnf9lp0jEPcIKoFywCIaoL1p04fIYHVHXl4E5dH2THwC275jVX9GEroEI093wRJiuLxGm60uE2fsSYZaG4Uuh7PqvuyTaT2TuQ9wjzJKTCCsScMCyiDBdbCJM15cI0/clwnSNiTBdXyJM15cIs/clwiwN/cd92f2V3RIc7kj9D6csl8bsnQIcCdPdH4gwXV8iTNeXCNP3JcJ0jYkwXV8iTNeXCLP3JcIsDev312Xvt/ZyjzBLx16zE2EKqB2LJMJ0fYkwXV8iTN+XCNM1JsJ0fYkwXV8izN6XCLM0nPvBnMzeOSv+G0rSeDPD01tyLpidCCtSc99lEWG6vkSYri8Rpu9LhOkaE2G6vkSYri8RZu9LhFka7r1tr9Tvq0v9bWUJXutZLo3ZOwWIMN39gQjT9SXCdH2JMH1fIkzXmAjT9SXCdH2JMHtfIszScPff7Rb/N77Ufq8s4auIMEtOjoQVCThgWUSYLjYRputLhOn7EmG6xkSYri8RputLhNn7EmGWhrv+/10S7gy5R5ilY6/ZORKmgNqxSCJM15cI0/UlwvR9iTBdYyJM15cI0/Ulwux9iTBLw51/vVMkEJnbUJWIA2GWmgtnJ8IK5dxnYUSYri8RputLhOn7EmG6xkSYri8RputLhNn7EmGWhjs/vVOiaUfm/pzh6S0p95mdCCtadOHyiDBdXyJM15cI0/clwnSNiTBdXyJM15cIs/clwiwNTYSFqxyp/RERZklJhBUNOGB5RJguOBGm60uE6fsSYbrGRJiuLxGm60uE2fsSYZaGJsL841xpvLNiuSRm7xbgSJjuPkGE6foSYbq+RJi+LxGma0yE6foSYbq+RJi9LxGWwvDWrXfJ1dfeHE954fnr5FNXXCLT1WZ0xRF2akkaZ3GPsBSUmSYhwjJxZZ6YCMtMlmkGIiwTV66J1xwyLdt3zOaal5kGCxBhg41spiDCbPQGz0uEDTayncJ8BvPIL0CEDbC7576H5PrNW+TGaz4qK1fMyA2bt8RzfGzD+naENd5aFv8URuXIvxv2npMIK1p04fKIMF1fIkzX1yydCNM1JsJ0fYkwXV8iTNc3+QzWX8v4roEIG7BtTXQdfeRqufiCc+Ipu6PMHAmrX1CW4GgirOi3CRFWtCgRpiu6cOlEmL42EaZrTITp+hJhur5EmK4vEWbvS4T1MZydq8snr7tZ1p1+UjvCHtu2XT6x6Sb5zMZL5bij1sSnI879cUWiQ1z7rcESFggQYbo7BEfCdH2JMF1fjoTp+xJhusZEmK4vEabrS4TZ+xJhKSLsvRedK2ecujaesleErdy4UoRLwuz3RpaAAAIIIIAAAggggMAECBBhKSKs35GwCdhHeIkIIIAAAggggAACCCBQoAARNgBz0DVhZnZG5ypwj+xYFKcj6rgmS+V0RF1fTkfU9TVL55owXWNOR9T15XREXV9OR9T1TT6D9dcyvmsgwgZs20GjIxJhem8OIkzP1iyZCNP1JcJ0fYkwfV8iTNeYCNP1JcJ0fYkwe18iLIVhv/uEEWEpAHNOQoTlhEs5GxGWEirnZERYTrgMs3EkLANWjkmJsBxoGWYhwjJg5ZiUCMuBlnEW7hOWEaxrciLMzi+em9MRC0DssQgiTMc1WSoRputLhOn6Jr+F5fNXz5kI07M1SybCdH2JMF3f5DNYfy3juwYirIBtyw8BBSASYTqIfZZKhOmSE2G6vkSYvi8RpmtMhOn6EmG6vkSYvS8RZm/IkbACDHstgiNhSrCtxRJhur5EmK4vEabvS4TpGhNhur5EmK4vEWbvS4TZGxJhBRgSYUqIHAkbPmxrjUSYPj3XhOkaE2G6vkSYri8RputLhNn7EmH2hkRYAYZEmBIiETZ8WCJsaOZEmC41EabrS4Tp+hJhur5EmL0vEWZvyBIQQAABBBBAAAEEEEAAgdQCRFhqKiZEAAEEEEAAAQQQQAABBOwFiDB7Q5aAAAIIIIAAAggggAACCKQWIMJSUzEhAggggAACCCCAAAIIIGAvQITlNLx1611y9bU3x3NfeP46+dQVl8h0tZJzaZMz2z33PSQf+qtr4hd8yonHyo3XfFRWrphZFKDf9J3bIFnAh99/gXxsw/rJAR3wSrN6m8Xt3LVbNv71TXLFR94nxx21BssOAWNz2VWflft/+ev4q1/+3FVyxqlrBxrdsHmLHH3karn4gnPa0z62bbtsuPJ6eeqZHe2vpXlPDFzZGE2QxXt2ri6fvO5muf2Ou9sCabfPGJH1fSndRp++8pIF+2T3zGa//eLXtra/3Dl997YxEx1x+CGy+drL+dxoiWX17v43bdD2mZT9tvN1ZvnZq/sztvtnte7926wH84V7VRbvzjmTnz34DO7/LiXCcnyKmZ3r+s1b2gFh3sjmwQ///THNB+InNt0kn9l4afyPtHlz3/2TBxcN2EHTD5o/x6Ydq1kG+XW/2M4fGPhhat9dIfFZd/pJ8Q+u3b69dp7Of8C6/3FPM/9Y7ZAZX0xWbxMFX7rl23LZB98d/0LMfE5v3HQTUdDh3vlvVRJRl29Y3/MXCcb/xq98S/78ff8u/kVZ8gPtpo2XxtMPmj/j5h7LyW288d13l8j6s5f5/D1yzar2/t39sxo/u/V/22X1TpbW+ctfIowIK/zDvfu32t07auErHJMFmg/E3z7xdDtWB/0QOmh6Iqz/jjHIb7G5ORLWW8bsr9d9/hbZ9PFL4x9KuyOh39ZY7EhY5y8lxuRtXtjLsPE2T4IfYhduil7v6yw/hHbv7/j239WL9i7sjbWMF2T7s1f3zwxZ9v9lzJb7qefxTj63r/yP75ePb7pJFvslT+4nNWYzciQs4wbt9YPXoJjIuIqxnbz7A2/QP+KDpu8+dYNTERfuOoP8iLBsb7Vev2xJ+494mtMRORVx4faw8TZL4nN5oWcvjyy/yOr+vO4+HZGj58V6dx95zPZpNX5T2/7slcy/etXB7V8E9zvddvwEs72iPN6dnzEHHzQTn7pPhPV3J8Ky7Zft336/96Jz24e4+cc+HWL3D6JpIqzzOpp+0yffW3/RuX2vcUj3TMdjqqzeyavmSFjv7W+i4Bu33bng9FmbCOtei1nW08++wPWlLRgb7yxHKcfj3T74VXQfWTRzZImwQfu6WdaW2+4ceJ3v4Gc6HlPk9e6MW65Pmt8Xkvd0np+9ktjqd/0+0bvwfZfVu/vnhkE/343Hu9z+VRBhGQ3z/HYg4yrGdvKsR2ayTt99+t3YQqZ8YVn9iLD+sDZHZnodCeteW68f2lJu6rGcLK93r994jyVQxhdlcyQszS8I+OXNwg1i422WxC8SekdBck2u+W7WX4AP+qVDms/pjG+7ZTt51p91ew00lbx4rgtbfDcgwnK8RfKcJ5tjNWM3S9ZrlGynHzvAjC8oqx8R1h/Y5hqlNP+4E2H7/hCb9Ro8AmzxfTjvNUppAsyslQhbaJ/Xu3Mp/GJxoantz16DPmPTfE5n/Gd4WU9u482RsHSbnghL57RgqrwjxuRY1VjNMmi0vu7TWfpNb2C+efv35Q8vfFs8Ehpv+H13lazeRFj/t9ug0fr6nc7S6x/3f7jzx/LqY17ZHs570OleY/VhkOLFZPXmyMFg1M59bLFrvDpP6e63T5p/B80juUXDoKMMg5/d+E2Rxbt7dE9Osd93fxj0s1f3Lwy+8He3yflvPX3BZ2xyyvdcrSZb77hbPnDxO+IVZT2qNn57q7135xL4mSzdHkKEpXPaZ6q8907IubqxmW3Qfb+6rynoNz0X1Q7eLbJ497rPEvfAW2jc775VvSKse/CYzsELOreNWQvW++7PWbwXOx2GAXvmXfvdt6r7h/5u+2QpyX66/ZnnF9znjoFl9t1/s3ibufk3bfC/af1+9uqOsH6fsdxXcLC1mSKLNxGWzrRzKiIsuxlzIIAAAggggAACCCCAAAK5BYiw3HTMiAACCCCAAAIIIIAAAghkFyDCspsxBwIIIIAAAggggAACCCCQW4AIy03HjAgggAACCCCAAAIIIIBAdgEiLLsZcyCAAAIIIIAAAggggAACuQWIsNx0zIgAAggggAACCCCAAAIIZBcgwrKbMQcCCCCAAAIIIIAAAgggkFuACMtNx4wIIIAAAggggAACCCCAQHYBIiy7GXMggAACCCCAAAIIIIAAArkFiLDcdMyIAAIIIIAAAggggAACCGQXIMKymzEHAggggAACCCCAAAIIIJBbgAjLTceMCCCAAAIIIIAAAggggEB2ASIsuxlzIIAAAggggAACCCCAAAK5BYiw3HTMiAACCCCAAAIIIIAAAghkFyDCspsxBwIIIIAAAggggAACCCCQW4AIy03HjAgggAACCCCAAAIIIIBAdgEiLLsZcyCAAAIIIIAAAggggAACuQWIsNx0zIgAAggggAACCCCAAAIIZBcgwrKbMQcCCCAwVgK3br1Lrr725gWv6ZQTj5Ubr/moPPqbJ+VDf3WNfPlzV8kZp65dMM0Nm7fIj+97KJ5u5YoZ6becF17cLRuuvF6eembHonafvvISOXLNqnh9vR7Jc7jnvofiaS48f5186opLZLpaaU/e73tmop27dstlV31W7v/lrxd9Hh9+/wVy9JGrF5iY53bxBefIY9u2x6/j0INXtF93sqBe30ueT7/XM1Y7Ey8GAQQQQCCVABGWiomJEEAAgfEU6A6p5FWar7/1zNfF4WXiasttdy6IDhMcn9h0k3xm46Vy3FFrJM1yOgXNMu/+yYM9I2rjpptk87WXx8vt9UjC5ojDD1kw3excXT553c1y+x139wy0xZZ1/eYt+wSVmdasp/u5JKFlYrI7TI3BF7+2VZKANWHaaxnjuSfxqhBAAAEEsggQYVm0mBYBBBAYI4HkqND6i86Nj/Is9kjiZvWqg+VjG9ZL8vd1p58Uz5d2OUVGmAmnt5/9BtmzdzZ+Tkk0feO2O+WAA/aTPXte3ifwioowE5+/946z5OcPPtZeh4mz6z5/i5x2yvHyvR/+azvqiLAxesPwUhBAAIECBYiwAjFZFAIIILCcBLrjqt9zT44Abdp4qTyx/dkFR8ayLCdZh+2RMBNhl29YL9f/zdcXHI0zpxH+9omn5elnX1CNsMv/8o8leQ7J0UKzXrP+zqOGRNhyekfwXBFAAIHhCRBhw7NmTQgggMCSE+i+ZqnzVLruJ5ucbme+3n0qXpblmPn7RViaa8KSUwi/dMu346f5B+96S3wkatPHLxXzNe0IM6dh/uyBR+NTKj/6F++VT93wFbniI++Lv9YdYYNez5LbKXhCCCCAAALqAkSYOjErQAABBJa+QOf1VObZdl9vZb6WnHb4plPXtk8B7H5laZYzKMLSXBOWRJgZ8MOcHmge63//vPj0SBOLw4iwgw+aiQf5WDGzv5xw3JGxSff1cxwJW/r7Ps8QAQQQGIUAETYKddaJAAIILGGBxU4v7L4WbNBL6HeaYhGnIyajMnYPCjKsCDMDh5jX8fmv/K/2ACFE2KC9gu8jgAACCBgBIoz9AAEEEJhQAXNkywzVfs661+8jYELGPJJBL8z/LxZhWZdT5JEwMwKhuV7t0d/8Tt557pvi5zzMCDOvfesdd8sHLn5HvG4ibELfTLxsBBBAIKMAEZYRjMkRQACBcRFITi981ZpVCwaxSK7v6r7uq1+EmdPy0i6n6Ajr3h7DjLDudRNh4/Lu4HUggAACugJEmK4vS0cAAQSWtECvmxf3uh7MvIh+pyNmWc6gCBs0kIWJxMXu7VXUkbDuG0933qy58/5oaSJs0OtZ0jsITw4BBBBAQEWACFNhZaEIIIAAAggggAACCCCAQG8BIow9AwEEEEAAAQQQQAABBBAYogARNkRsVoUAAggggAACCCCAAAIIEGHsAwgggAACCCCAAAIIIIDAEAWIsCFisyoEEEAAAQQQQAABBBBAgAhjH0AAAQQQQAABBBBAAAEEhihAhA0Rm1UhgAACCCCAAAIIIIAAAkQY+wACCCCAAAIIIIAAAgggMEQBImyI2KwKAQQQQAABBBBAAAEEECDC2AcQQAABBBBAAAEEEEAAgSEKEGFDxGZVCCCAAAIIIIAAAggggAARxj6AAAIIIIAAAggggAACCAxRgAgbIjarQgABBBBAAAEEEEAAAQSIMPYBBBBAAAEEEEAAAQQQQGCIAkTYELFZFQIIIIAAAggggAACCCBAhLEPIIAAAggggAACCCCAAAJDFCDChojNqhBAAAEEEEAAAQQQQAABIox9AAEEEEAAAQQQQAABBBAYogARNkRsVoUAAggggAACCCCAAAIIEGHsAwgggAACCCCAAAIIIIDAEAWIsCFisyoEEEAAAQQQQAABBBBAgAhjH0AAAQQQQAABBBBAAAEEhihAhA0Rm1UhgAACCCCAAAIIIIAAAkQY+wACCCCAAAIIIIAAAgggMEQBImyI2KwKAQQQQAABBBBAAAEEECDC2AcQQAABBBBAAAEEEEAAgSEKEGFDxGZVCCCAAAIIIIAAAggggAARxj6AAAIIIIAAAggggAACCAxRgAgbIjarQgABBBBAAAEEEEAAAQSIMPYBBBBAAAEEEEAAAQQQQGCIAkTYELFZFQIIIIAAAggggAACCCBAhLEPIIAAAggggAACCCCAAAJDFCDChojNqhBAAAEEEEAAAQQQQAABIox9AAEEEEAAAQQQQAABBBAYogARNkRsVoUAAggggAACCCCAAAIIEGHsAwgggAACCCCAAAIIIIDAEAWIsCFisyoEEEAAAQQQQAABBBBAgAhjH0AAAQQQQAABBBBAAAEEhihAhA0Rm1UhgAACCCCAAAIIIIAAAv8PfS/qEQr0vUYAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Latest run (high-precision result from fine fixed-resolution run)\n",
"fig2 = dynamics2.plot_history(chemicals='B', colors=['violet'], title=\"Fine fixed-step run\", \n",
" show=True)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "62ec9be5-b988-4680-9de3-8ad3271b7865",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"PlotlyHelper.combine_plots(fig_list=[fig1, fig2], title=\"The 2 runs, contrasted together\", \n",
" curve_labels=[\"B (adaptive variable steps)\", \"B (fixed small steps)\"])"
]
},
{
"cell_type": "markdown",
"id": "791e4d10-3173-4139-8216-09209acdfe6a",
"metadata": {},
"source": [
"#### They overlap fairly well! The 800 fixed-timestep points vs. the 48 adaptable variable-timestep ones"
]
},
{
"cell_type": "code",
"execution_count": null,
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