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"id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0",
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"source": [
"## 2 COUPLED reactions of different speeds, forming a \"cascade\": \n",
"### `A <-> B` (fast) and `B <-> C` (slow)\n",
"Taken to equilibrium. Both reactions are mostly forward. All 1st order. \n",
"**The concentration of the intermediate product B manifests 1 oscillation (transient \"overshoot\")**\n",
"\n",
"Adaptive variable time resolution is used, with extensive diagnostics, \n",
"and finally compared to a new run using fixed time intervals, with the same initial data.\n",
"\n",
"In part2, some diagnotic insight is explored. \n",
"In part3, two identical runs (\"adaptive variable steps\" and \"fixed small steps\") are compared. \n",
"\n",
"LAST REVISED: June 23, 2024 (using v. 1.0 beta34.1)"
]
},
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"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)**"
]
},
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"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 life123 import ChemData\n",
"from life123 import UniformCompartment\n",
"from life123.visualization.plotly_helper import PlotlyHelper\n",
"\n",
"from life123 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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"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2\n"
]
}
],
"source": [
"# Instantiate the simulator and specify the chemicals\n",
"chem = ChemData(names=[\"A\", \"B\", \"C\"])\n",
"\n",
"# Reaction A <-> B (fast)\n",
"chem.add_reaction(reactants=[\"A\"], products=[\"B\"],\n",
" forward_rate=64., reverse_rate=8.) \n",
"\n",
"# Reaction B <-> C (slow)\n",
"chem.add_reaction(reactants=[\"B\"], products=[\"C\"],\n",
" forward_rate=12., reverse_rate=2.) \n",
"\n",
"print(\"Number of reactions: \", chem.number_of_reactions())"
]
},
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"cell_type": "code",
"execution_count": 5,
"id": "00ea560d-9a49-4041-b119-6de11bfcc7af",
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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: {'C', 'A', 'B'}\n"
]
}
],
"source": [
"chem.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",
"chem.plot_reaction_network(\"vue_cytoscape_2\")"
]
},
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"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
"metadata": {},
"source": [
"## Run the simulation"
]
},
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"cell_type": "code",
"execution_count": 7,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
"metadata": {},
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"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', 'A', 'B'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem, preset=\"fast\")\n",
"\n",
"dynamics.set_conc({\"A\": 50.}, snapshot=True) # Set the initial concentrations of all the chemicals, in their index order\n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 8,
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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",
" 0.0 | \n",
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\n",
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\n",
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"## Run the reaction"
]
},
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"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"48 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 1\n",
"Number of step re-do's because of elective soft aborts: 5\n",
"Norm usage: {'norm_A': 25, 'norm_B': 17, 'norm_C': 16, 'norm_D': 16}\n"
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"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"dynamics.single_compartment_react(initial_step=0.02, duration=0.4,\n",
" snapshots={\"initial_caption\": \"1st reaction step\",\n",
" \"final_caption\": \"last reaction step\"},\n",
" variable_steps=True)"
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"### 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": [
{
"data": {
"text/plain": [
"(0.011857732428358053, 24.047031609298816)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersect(\"A\", \"B\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "025c387b-5bd2-4666-a140-9c66630da072",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.031934885008449314, 8.852813807230596)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersect(\"A\", \"C\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "86f3a798-4a5b-4016-b4d1-121f9fb48506",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.07740303497735611, 23.285274847029168)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.curve_intersect(\"B\", \"C\", t_start=0.05, t_end=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "80fbaee3-bd6f-4197-9270-23374d46a4a7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\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",
" Initialized 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 Initialized state\n",
"1 0.000778 47.511680 2.488320 0.000000 1st reaction step\n",
"2 0.001400 45.632475 4.348950 0.018575 \n",
"3 0.002022 43.837347 6.111636 0.051017 \n",
"4 0.002519 42.465438 7.447097 0.087465 \n",
"5 0.003017 41.142542 8.725606 0.131851 \n",
"6 0.003515 39.866871 9.949300 0.183829 \n",
"7 0.004012 38.636703 11.120234 0.243063 \n",
"8 0.004510 37.450378 12.240391 0.309231 \n",
"9 0.005008 36.306298 13.311680 0.382022 \n",
"10 0.005505 35.202922 14.335939 0.461139 \n",
"11 0.006003 34.138767 15.314939 0.546294 \n",
"12 0.006501 33.112404 16.250386 0.637210 \n",
"13 0.006998 32.122455 17.143922 0.733623 \n",
"14 0.007496 31.167595 17.997130 0.835276 \n",
"15 0.008243 29.786018 19.218736 0.995246 \n",
"16 0.008989 28.477742 20.356337 1.165921 \n",
"17 0.009736 27.238764 21.414705 1.346531 \n",
"18 0.010482 26.065300 22.398347 1.536353 \n",
"19 0.011602 24.398010 23.768113 1.833877 \n",
"20 0.012722 22.862474 24.988386 2.149140 \n",
"21 0.013841 21.447911 26.071994 2.480095 \n",
"22 0.014961 20.144428 27.030704 2.824868 \n",
"23 0.016641 18.342204 28.297603 3.360193 \n",
"24 0.018320 16.750734 29.330012 3.919255 \n",
"25 0.020000 15.344212 30.158542 4.497247 \n",
"26 0.022519 13.477920 31.135708 5.386372 \n",
"27 0.025039 11.932250 31.767190 6.300559 \n",
"28 0.027558 10.648537 32.122231 7.229232 \n",
"29 0.031337 9.044186 32.324491 8.631323 \n",
"30 0.035116 7.833986 32.134026 10.031989 \n",
"31 0.038896 6.910732 31.675838 11.413430 \n",
"32 0.044564 5.840026 30.721211 13.438763 \n",
"33 0.050233 5.114478 29.509327 15.376196 \n",
"34 0.058736 4.338557 27.535703 18.125740 \n",
"35 0.065538 3.948219 25.924919 20.126862 \n",
"36 0.075742 3.486129 23.623393 22.890478 \n",
"37 0.083905 3.207568 21.961627 24.830805 \n",
"38 0.096149 2.845240 19.705148 27.449612 \n",
"39 0.105945 2.605699 18.166190 29.228112 \n",
"40 0.120638 2.290745 16.137006 31.572249 \n",
"41 0.135332 2.033442 14.476842 33.489716 \n",
"42 0.157371 1.717708 12.439976 35.842316 \n",
"43 0.179411 1.488195 10.959299 37.552505 \n",
"44 0.212471 1.237929 9.344771 39.417300 \n",
"45 0.245531 1.090175 8.391543 40.518282 \n",
"46 0.295121 0.959315 7.547371 41.493315 \n",
"47 0.369506 0.883653 7.059061 42.057286 \n",
"48 0.481083 0.874584 7.001835 42.123581 last reaction step"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "144d0388-a632-4165-a9c5-50bc7943fc88",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"From time 0 to 0.0007776, in 1 step of 0.000778\n",
"From time 0.0007776 to 0.002022, in 2 steps of 0.000622\n",
"From time 0.002022 to 0.007496, in 11 steps of 0.000498\n",
"From time 0.007496 to 0.01048, in 4 steps of 0.000746\n",
"From time 0.01048 to 0.01496, in 4 steps of 0.00112\n",
"From time 0.01496 to 0.02, in 3 steps of 0.00168\n",
"From time 0.02 to 0.02756, in 3 steps of 0.00252\n",
"From time 0.02756 to 0.0389, in 3 steps of 0.00378\n",
"From time 0.0389 to 0.05023, in 2 steps of 0.00567\n",
"From time 0.05023 to 0.05874, in 1 step of 0.0085\n",
"From time 0.05874 to 0.06554, in 1 step of 0.0068\n",
"From time 0.06554 to 0.07574, in 1 step of 0.0102\n",
"From time 0.07574 to 0.08391, in 1 step of 0.00816\n",
"From time 0.08391 to 0.09615, in 1 step of 0.0122\n",
"From time 0.09615 to 0.1059, in 1 step of 0.0098\n",
"From time 0.1059 to 0.1353, in 2 steps of 0.0147\n",
"From time 0.1353 to 0.1794, in 2 steps of 0.022\n",
"From time 0.1794 to 0.2455, in 2 steps of 0.0331\n",
"From time 0.2455 to 0.2951, in 1 step of 0.0496\n",
"From time 0.2951 to 0.3695, in 1 step of 0.0744\n",
"From time 0.3695 to 0.4811, in 1 step of 0.112\n",
"(48 steps total)\n"
]
}
],
"source": [
"dynamics.explain_time_advance()"
]
},
{
"cell_type": "markdown",
"id": "c02a8f55-a671-4771-86c9-fc4d1b126bf8",
"metadata": {},
"source": [
"### Check the final equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "b139f5e4-625f-4a5e-8f57-8f00244dced4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 0.8746 ; [B] = 7.002\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 8.0059\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 8\n",
"Discrepancy between the two values: 0.07378 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 7.002 ; [C] = 42.12\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 6.01608\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 6\n",
"Discrepancy between the two values: 0.268 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that all the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium()"
]
},
{
"cell_type": "markdown",
"id": "c279c0b2-754e-4574-95a6-ffbe8e162463",
"metadata": {},
"source": [
"### Let's look at the final concentrations of `A` and `C` (i.e., the reactant and product of the composite reaction)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "c093910f-62f2-43cf-88ef-d5df935a44b8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.8745841244150234"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"A_final = dynamics.get_chem_conc(\"A\")\n",
"A_final"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "22636dc7-fd18-468f-8ddb-8152891eb9b5",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"42.123581082850514"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"C_final = dynamics.get_chem_conc(\"C\")\n",
"C_final"
]
},
{
"cell_type": "markdown",
"id": "420e0075-6b81-4836-8641-b0ccdeacf550",
"metadata": {},
"source": [
"#### Their ratio:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "8280c0be-2f8d-4f4c-adc0-9ca7f5d5060e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"48.16412727709344"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"C_final / A_final"
]
},
{
"cell_type": "markdown",
"id": "07fe7c6c-f8dd-4460-aa08-d7c61d60bd62",
"metadata": {},
"source": [
"### As expected the equilibrium constant for the overall reaction `A <-> C` (approx. 48) is indeed the product of the equilibrium constants of the two elementary reactions (K = 8 and K = 6, respectively) that we saw earlier."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "587c2018-e781-43c1-aee8-e78b7b6dc9bf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "520b3b44-7da9-49d3-9cfd-685607169f01",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "5c3f8b4f-3a75-4a21-8579-13550bcebb3c",
"metadata": {},
"source": [
"# PART 2 - DIAGNOSTIC INSIGHT\n",
"\n",
"Perform some verification"
]
},
{
"cell_type": "markdown",
"id": "07dd5aa4-9e71-40c1-9f15-a16a9333ed10",
"metadata": {},
"source": [
"### Take a peek at the diagnostic data saved during the earlier reaction simulation"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "5ad64dc5-ba89-4f09-b7db-da40de1df4ed",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reaction: A <-> B\n"
]
},
{
"data": {
"text/html": [
"\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",
"
\n",
" \n",
" | 8 | \n",
" 0.001400 | \n",
" -1.795128 | \n",
" 1.795128 | \n",
" 0.0 | \n",
" 0.000622 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 0.002022 | \n",
" -1.371909 | \n",
" 1.371909 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 0.002519 | \n",
" -1.322896 | \n",
" 1.322896 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 0.003017 | \n",
" -1.275671 | \n",
" 1.275671 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 0.003515 | \n",
" -1.230168 | \n",
" 1.230168 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 0.004012 | \n",
" -1.186325 | \n",
" 1.186325 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 0.004510 | \n",
" -1.144080 | \n",
" 1.144080 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 0.005008 | \n",
" -1.103376 | \n",
" 1.103376 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 0.005505 | \n",
" -1.064155 | \n",
" 1.064155 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 0.006003 | \n",
" -1.026363 | \n",
" 1.026363 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 0.006501 | \n",
" -0.989949 | \n",
" 0.989949 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 0.006998 | \n",
" -0.954861 | \n",
" 0.954861 | \n",
" 0.0 | \n",
" 0.000498 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 0.007496 | \n",
" -1.381577 | \n",
" 1.381577 | \n",
" 0.0 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 0.008243 | \n",
" -1.308275 | \n",
" 1.308275 | \n",
" 0.0 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 0.008989 | \n",
" -1.238978 | \n",
" 1.238978 | \n",
" 0.0 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 0.009736 | \n",
" -1.173464 | \n",
" 1.173464 | \n",
" 0.0 | \n",
" 0.000746 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 0.010482 | \n",
" -1.667290 | \n",
" 1.667290 | \n",
" 0.0 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 0.011602 | \n",
" -1.535536 | \n",
" 1.535536 | \n",
" 0.0 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 0.012722 | \n",
" -1.414563 | \n",
" 1.414563 | \n",
" 0.0 | \n",
" 0.001120 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 0.013841 | \n",
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" 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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" \n",
" | 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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" 0.083905 | \n",
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" 0.362328 | \n",
" 0.0 | \n",
" 0.012244 | \n",
" | \n",
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" | 44 | \n",
" 0.096149 | \n",
" -0.239541 | \n",
" 0.239541 | \n",
" 0.0 | \n",
" 0.009796 | \n",
" | \n",
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" | 45 | \n",
" 0.105945 | \n",
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" 0.314953 | \n",
" 0.0 | \n",
" 0.014693 | \n",
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" | 46 | \n",
" 0.120638 | \n",
" -0.257304 | \n",
" 0.257304 | \n",
" 0.0 | \n",
" 0.014693 | \n",
" | \n",
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" | 47 | \n",
" 0.135332 | \n",
" -0.315733 | \n",
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" 0.0 | \n",
" 0.022040 | \n",
" | \n",
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" | 48 | \n",
" 0.157371 | \n",
" -0.229513 | \n",
" 0.229513 | \n",
" 0.0 | \n",
" 0.022040 | \n",
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" | 49 | \n",
" 0.179411 | \n",
" -0.250266 | \n",
" 0.250266 | \n",
" 0.0 | \n",
" 0.033060 | \n",
" | \n",
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" | 50 | \n",
" 0.212471 | \n",
" -0.147754 | \n",
" 0.147754 | \n",
" 0.0 | \n",
" 0.033060 | \n",
" | \n",
"
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" \n",
" | 51 | \n",
" 0.245531 | \n",
" -0.130860 | \n",
" 0.130860 | \n",
" 0.0 | \n",
" 0.049590 | \n",
" | \n",
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" \n",
" | 52 | \n",
" 0.295121 | \n",
" -0.075662 | \n",
" 0.075662 | \n",
" 0.0 | \n",
" 0.074385 | \n",
" | \n",
"
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" \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",
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"18 \n",
"19 \n",
"20 \n",
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"23 \n",
"24 \n",
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"27 \n",
"28 \n",
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"30 \n",
"31 \n",
"32 \n",
"33 \n",
"34 \n",
"35 \n",
"36 \n",
"37 \n",
"38 \n",
"39 \n",
"40 \n",
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"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",
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" | \n",
" START_TIME | \n",
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" time_step | \n",
" caption | \n",
"
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" \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",
"
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" \n",
" | 1 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.006000 | \n",
" aborted: excessive norm value(s) | \n",
"
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" \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",
"
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" \n",
" | 4 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.001296 | \n",
" aborted: excessive norm value(s) | \n",
"
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" \n",
" | 5 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000778 | \n",
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" | 6 | \n",
" 0.000778 | \n",
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" 0.018575 | \n",
" 0.000622 | \n",
" | \n",
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" | 7 | \n",
" 0.001400 | \n",
" 0.0 | \n",
" -0.032442 | \n",
" 0.032442 | \n",
" 0.000622 | \n",
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" | 8 | \n",
" 0.002022 | \n",
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" 0.000498 | \n",
" | \n",
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" 0.002519 | \n",
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" 0.003017 | \n",
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" -0.051978 | \n",
" 0.051978 | \n",
" 0.000498 | \n",
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" 0.003515 | \n",
" 0.0 | \n",
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"
\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 = UniformCompartment(chem_data=chem) # Re-use the same chemicals and reactions of the previous simulation"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "ecf2029b-57a7-4db4-9b30-c854da91fb76",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"dynamics2.set_conc({\"A\": 50.}, snapshot=True)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "00777982-d633-4c12-8c92-2ece6bf00e5e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"800 total step(s) taken\n"
]
}
],
"source": [
"# Notice that we're using FIXED steps this time\n",
"dynamics2.single_compartment_react(initial_step=0.0005, duration=0.4,\n",
" variable_steps=False,\n",
" snapshots={\"initial_caption\": \"1st reaction step\",\n",
" \"final_caption\": \"last reaction step\"},\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "6bb61113-a081-4366-893d-f94894c44ec2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (801) - only showing 1 every 6 lines\n"
]
},
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},
"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": [
"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": [
{
"data": {
"text/plain": [
"(0.011934802021672202, 24.03028826511689)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics2.curve_intersect(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": [
{
"data": {
"text/plain": [
"(0.03259520587890533, 9.081194286771336)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics2.curve_intersect(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": [
{
"data": {
"text/plain": [
"(0.07932921476313338, 23.238745930657448)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics2.curve_intersect(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": {},
"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",
" 0.0000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" Initialized state | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.0005 | \n",
" 48.400000 | \n",
" 1.600000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.0010 | \n",
" 46.857600 | \n",
" 3.132800 | \n",
" 0.009600 | \n",
" | \n",
"
\n",
" \n",
" | 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",
"
\n",
" \n",
" | 797 | \n",
" 0.3985 | \n",
" 0.925195 | \n",
" 7.327221 | \n",
" 41.747584 | \n",
" | \n",
"
\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",
"
\n",
" \n",
" | 800 | \n",
" 0.4000 | \n",
" 0.924309 | \n",
" 7.321501 | \n",
" 41.754190 | \n",
" last reaction step | \n",
"
\n",
" \n",
"
\n",
"
801 rows × 5 columns
\n",
"
"
],
"text/plain": [
" SYSTEM TIME A B C caption\n",
"0 0.0000 50.000000 0.000000 0.000000 Initialized state\n",
"1 0.0005 48.400000 1.600000 0.000000 1st reaction step\n",
"2 0.0010 46.857600 3.132800 0.009600 \n",
"3 0.0015 45.370688 4.600925 0.028387 \n",
"4 0.0020 43.937230 6.006806 0.055964 \n",
".. ... ... ... ... ...\n",
"796 0.3980 0.925494 7.329151 41.745354 \n",
"797 0.3985 0.925195 7.327221 41.747584 \n",
"798 0.3990 0.924898 7.325303 41.749800 \n",
"799 0.3995 0.924602 7.323396 41.752002 \n",
"800 0.4000 0.924309 7.321501 41.754190 last reaction step\n",
"\n",
"[801 rows x 5 columns]"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df2 = dynamics2.get_history()\n",
"df2"
]
},
{
"cell_type": "markdown",
"id": "45d5883d-c2c6-40a7-80b4-8a5976b8dfcd",
"metadata": {},
"source": [
"## Notice that we now did 800 steps - vs. the 48 of the earlier variable-resolution run!"
]
},
{
"cell_type": "markdown",
"id": "0f590255-1555-43d5-9adb-ace15ac80aa4",
"metadata": {},
"source": [
"## Let's compare some entries with the coarser previous variable-time run"
]
},
{
"cell_type": "markdown",
"id": "bfef068e-d576-4c3c-bda8-b0b51c5f88da",
"metadata": {},
"source": [
"#### Let's compare the plots of [B] from the earlier (variable-step) run, and the latest (high-precision, fixed-step) one:"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "b2917e15-1c3a-4597-bc9b-22f0a83b3e08",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "SYSTEM TIME=%{x}
B=%{y}",
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"line": {
"color": "orange",
"dash": "solid"
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"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "",
"orientation": "v",
"showlegend": false,
"type": "scatter",
"x": [
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0.0007776,
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0.0030170880000000002,
0.0035147520000000003,
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0.0045100800000000005,
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0.006003072000000001,
0.006500736000000001,
0.006998400000000001,
0.007496064000000001,
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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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},
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},
"mode": "lines",
"name": "",
"orientation": "v",
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",
"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"
},
"data": [
{
"hovertemplate": "B (adaptive variable steps)
SYSTEM TIME=%{x}
B=%{y}",
"legendgroup": "",
"line": {
"color": "orange",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "B (adaptive variable steps)",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
0.0007776,
0.0013996800000000002,
0.00202176,
0.002519424,
0.0030170880000000002,
0.0035147520000000003,
0.004012416,
0.0045100800000000005,
0.005007744000000001,
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0.006003072000000001,
0.006500736000000001,
0.006998400000000001,
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0.008242560000000001,
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0.016640640000000005,
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0.01999987200000001,
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0.03511641600000001,
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],
"yaxis": "y"
},
{
"hovertemplate": "B (fixed small steps)
SYSTEM TIME=%{x}
B=%{y}",
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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.\n",
"The adaptive algorithms avoided 752 extra steps of limited benefit..."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "893df3ce-7cb3-4eec-b8a4-397334f65dd4",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}