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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 27, 2024 (using v. 1.0beta32)"
]
},
{
"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.chemicals.chem_data import ChemData\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": []
},
"outputs": [
{
"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())"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "00ea560d-9a49-4041-b119-6de11bfcc7af",
"metadata": {},
"outputs": [
{
"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: {'A', 'C', 'B'}\n"
]
}
],
"source": [
"chem.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "cb582868-431c-4022-aa0e-a2f554f80d6c",
"metadata": {},
"outputs": [
{
"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\")"
]
},
{
"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",
"metadata": {},
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"name": "stdout",
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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: {'A', 'C', 'B'}\n"
]
}
],
"source": [
"dynamics = ReactionDynamics(chem_data=chem, preset=\"fast\")\n",
"\n",
"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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"cell_type": "markdown",
"id": "fc516ca2-e62d-4784-b826-5372ff7f4c75",
"metadata": {
"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",
"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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"id": "199b6238-f6ed-44a8-8130-a003444d7658",
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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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"execution_count": 10,
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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: 8.0\n",
"Discrepancy between the two values: 0.07378 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [C] = 42.12 ; [B] = 7.002\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",
"
\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",
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" 0.006998 | \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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" | 32 | \n",
" 0.022519 | \n",
" -1.545670 | \n",
" 1.545670 | \n",
" 0.0 | \n",
" 0.002519 | \n",
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" | 33 | \n",
" 0.025039 | \n",
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" 0.0 | \n",
" 0.002519 | \n",
" | \n",
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" | 34 | \n",
" 0.027558 | \n",
" -1.604351 | \n",
" 1.604351 | \n",
" 0.0 | \n",
" 0.003779 | \n",
" | \n",
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" | 35 | \n",
" 0.031337 | \n",
" -1.210200 | \n",
" 1.210200 | \n",
" 0.0 | \n",
" 0.003779 | \n",
" | \n",
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" 0.035116 | \n",
" -0.923254 | \n",
" 0.923254 | \n",
" 0.0 | \n",
" 0.003779 | \n",
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" 0.038896 | \n",
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" 0.0 | \n",
" 0.005669 | \n",
" | \n",
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" | 38 | \n",
" 0.044564 | \n",
" -0.725549 | \n",
" 0.725549 | \n",
" 0.0 | \n",
" 0.005669 | \n",
" | \n",
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" 0.050233 | \n",
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" 0.006802 | \n",
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" 0.012244 | \n",
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" 0.096149 | \n",
" -0.239541 | \n",
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" 0.009796 | \n",
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" | 45 | \n",
" 0.105945 | \n",
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" 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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" 0.022040 | \n",
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" 0.157371 | \n",
" -0.229513 | \n",
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" | 49 | \n",
" 0.179411 | \n",
" -0.250266 | \n",
" 0.250266 | \n",
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" 0.033060 | \n",
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" 0.212471 | \n",
" -0.147754 | \n",
" 0.147754 | \n",
" 0.0 | \n",
" 0.033060 | \n",
" | \n",
"
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" | 51 | \n",
" 0.245531 | \n",
" -0.130860 | \n",
" 0.130860 | \n",
" 0.0 | \n",
" 0.049590 | \n",
" | \n",
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" | 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",
"
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"
"
],
"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",
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"22 \n",
"23 \n",
"24 \n",
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"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",
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"
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" \n",
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" | \n",
" START_TIME | \n",
" Delta A | \n",
" Delta B | \n",
" Delta C | \n",
" 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",
"
\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",
"
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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",
"
\n",
" \n",
" | 5 | \n",
" 0.000000 | \n",
" 0.0 | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.000778 | \n",
" | \n",
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" | 6 | \n",
" 0.000778 | \n",
" 0.0 | \n",
" -0.018575 | \n",
" 0.018575 | \n",
" 0.000622 | \n",
" | \n",
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" \n",
" | 7 | \n",
" 0.001400 | \n",
" 0.0 | \n",
" -0.032442 | \n",
" 0.032442 | \n",
" 0.000622 | \n",
" | \n",
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" | 8 | \n",
" 0.002022 | \n",
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" -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",
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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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" 0.003515 | \n",
" 0.0 | \n",
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" 0.059234 | \n",
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"
\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(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([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": [
"# Notice that we're using FIXED steps this time\n",
"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": [
{
"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": 29,
"id": "5dae6925-3f3b-49ca-81f9-3cb8f19fdd55",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.07932921476313338, 23.238745930657448)"
]
},
"execution_count": 29,
"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": 30,
"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": 30,
"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:"
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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": 36,
"id": "5de67f32-4aa4-4b30-a14f-c725ad694304",
"metadata": {},
"outputs": [
{
"data": {
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},
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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": 37,
"id": "62ec9be5-b988-4680-9de3-8ad3271b7865",
"metadata": {},
"outputs": [
{
"data": {
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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
},
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