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"## Macromolecules : Binding Affinity and Fractional Occupancy, and regulation of the rates of reactions catalyzed by the macromolecule\n",
"\n",
"### Reaction `A <-> B` catalyzed when ligand `L` binds to `site 1` of macromolecule `M1`\n",
"\n",
"LAST REVISED: July 22, 2023"
]
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"execution_count": 1,
"id": "98adb66e-e336-4a4e-9a47-d48e9f0c8c68",
"metadata": {},
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"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"import set_path # Importing this module will add the project's home directory to sys.path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c1ac7763",
"metadata": {
"tags": []
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"from src.modules.chemicals.chem_data import ChemData\n",
"from src.modules.reactions.reaction_dynamics import ReactionDynamics\n",
"#from src.modules.movies.movies import MovieTabular\n",
"\n",
"#import numpy as np\n",
"\n",
"import plotly.express as px"
]
},
{
"cell_type": "markdown",
"id": "1b3df8ff-f3b2-4d16-a04a-9f3675b79009",
"metadata": {},
"source": [
"# PART 1 - Consider just the un-catalyzed reaction `A <-> B` by itself"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "34e5c78b-c23a-47c1-8db0-0e2f997dcff6",
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"Number of reactions: 1 (at temp. 25 C)\n",
"0: A <-> B (kF = 1 / kR = 0.133057 / Delta_G = -5,000 / K = 7.51557) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions (not counting enzymes): {'A', 'B'}\n"
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"# Initialize the system\n",
"chem1 = ChemData(names=[\"A\", \"B\"])\n",
"\n",
"# Reaction A <-> B , without catalysis (slow forward rate)\n",
"chem1.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=1. , delta_G= -5000)\n",
"\n",
"chem1.describe_reactions()"
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},
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"cell_type": "code",
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"id": "d407238e-3961-48ec-9188-39f61e17ead6",
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"SYSTEM STATE at Time t = 0:\n",
"2 species:\n",
" Species 0 (A). Conc: 100.0\n",
" Species 1 (B). Conc: 20.0\n",
"Set of chemicals involved in reactions (not counting enzymes): {'A', 'B'}\n"
]
}
],
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"# Set the initial concentrations of all the chemicals\n",
"dynamics1 = ReactionDynamics(chem_data=chem1)\n",
"\n",
"dynamics1.set_conc(conc={\"A\": 100., \"B\": 20.},\n",
" snapshot=True)\n",
"\n",
"dynamics1.describe_state()"
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},
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"cell_type": "code",
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"id": "eed45215-960f-4fc5-b8b0-d3353fe2eecd",
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"* INFO: the tentative time step (0.02) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.4 (set to 0.008) [Step started at t=0, and will rewind there]\n",
"80 total step(s) taken\n"
]
}
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"source": [
"# Take the system to equilibrium\n",
"dynamics1.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"# All of these settings are currently close to the default values... but subject to change; set for repeatability\n",
"dynamics1.set_thresholds(norm=\"norm_A\", low=0.6, high=1.0, abort=1.44)\n",
"dynamics1.set_thresholds(norm=\"norm_B\", low=0.04, high=0.6, abort=1.5)\n",
"dynamics1.set_step_factors(upshift=1.2, downshift=0.7, abort=0.4)\n",
"dynamics1.set_error_step_factor(0.3)\n",
"\n",
"dynamics1.single_compartment_react(initial_step=0.02, reaction_duration=4.0,\n",
" variable_steps=True, explain_variable_steps=False)"
]
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"source": [
"#dynamics1.explain_time_advance()"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics1.plot_curves(colors=['darkorange', 'green'], show_intervals=True, title_prefix=\"WITHOUT catalysis\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "0977ca98-2038-4122-8109-008b3a908193",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [B] = 105.4 ; [A] = 14.63\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 7.20163\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 7.515573071036746\n",
"Discrepancy between the two values: 4.177 %\n",
"Reaction IS in equilibrium (within 5% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reaction has reached equilibrium\n",
"dynamics.is_in_equilibrium(tolerance=5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9dcb87c0-35f2-4f75-9b25-457383753281",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "d4d1109a-4fd7-408a-89a4-286f7cffed7d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "24961bae-dc76-454b-b3eb-8fca0433eec3",
"metadata": {},
"source": [
"# PART 2"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "23c15e66-52e4-495b-aa3d-ecddd8d16942",
"metadata": {
"lines_to_next_cell": 2
},
"outputs": [],
"source": [
"# Initialize the system\n",
"chem = ChemData(names=[\"A\", \"B\", \"L\"])\n",
"\n",
"chem.add_macromolecules(\"M1\")\n",
"\n",
"chem.set_binding_site_affinity(\"M1\", site_number=1, ligand=\"L\", Kd=5.0)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "42f86e37-e634-4746-86bd-07036f47301f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"M1 :\n",
" Site 1 - Kd (dissociation const) for L : 5.0\n"
]
}
],
"source": [
"chem.show_binding_affinities() # Review the values we have given for the dissociation constants"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a9190b2f-aacb-478e-956d-450245338399",
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},
{
"cell_type": "markdown",
"id": "83fd43d2-6a90-4b24-ae2c-5a65718e416d",
"metadata": {},
"source": [
"## Define the reaction, with and without catalysis"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9211536e-74c5-43e5-8c3e-ab619e3c7a0d",
"metadata": {},
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"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 1 (at temp. 25 C)\n",
"0: A <-> B (kF = 1 / kR = 0.133057 / Delta_G = -5,000 / K = 7.51557) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions (not counting enzymes): {'A', 'B'}\n"
]
}
],
"source": [
"# Reaction A <-> B , without catalysis (slow forward rate)\n",
"chem.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=1. , delta_G= -5000)\n",
"\n",
"# Reaction A <-> B , WITH catalysis (fast forward rate)\n",
"#rxn = chem.add_reaction(reactants=\"A\", products=\"B\",\n",
"# forward_rate=10. , delta_G= -5000)\n",
"\n",
"#rxn.set_macro_enzyme(macromolecule=\"M1\", site_number=1)\n",
"\n",
"chem.describe_reactions()"
]
},
{
"cell_type": "markdown",
"id": "e1edaccb-4940-4040-abd9-ccfce973b671",
"metadata": {},
"source": [
"#### Notice the thermodynamics is (as it should be!) the same - and hence the same equilibrium constants - but the kinetics are very different"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "25baaff8-1a2c-488f-bd6a-c351ec75bd5a",
"metadata": {},
"outputs": [],
"source": []
},
{
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"source": [
"### Start with no macromolecule ligand `L` present; hence, only the slow reaction is in effect"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "74b8a860-ddaa-4346-a695-5d4b2b334833",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 100.0\n",
" Species 1 (B). Conc: 20.0\n",
" Species 2 (L). Conc: 0.0\n",
"Macro-molecules, with their counts: {'M1': 1}\n",
"Fractional Occupancy at the various binding sites for each macro-molecule:\n",
" M1 || 1: 0.0 (L)\n",
"Set of chemicals involved in reactions (not counting enzymes): {'A', 'B'}\n"
]
}
],
"source": [
"# Set the initial concentrations of all the chemicals, including the macromolecule\n",
"\n",
"dynamics = ReactionDynamics(chem_data=chem)\n",
"dynamics.set_conc(conc={\"A\": 100., \"B\": 20., \"L\": 0.},\n",
" snapshot=True) # The macromolecule ligand L is absent\n",
"\n",
"dynamics.set_macromolecules() # By default, set counts to 1 for all the registered macromolecules\n",
"\n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5666eccd-a621-4749-beaf-999f1ef9bc9c",
"metadata": {},
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"id": "d2aea53b-2a64-425e-8084-9e4e0e67cc8b",
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"source": [
"### Take the initial system to equilibrium"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "3fdc370b-1f0e-4d3b-9ab4-7c2c16e33ffc",
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"text": [
"* INFO: the tentative time step (0.02) leads to a least one norm value > its ABORT threshold:\n",
" -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.4 (set to 0.008) [Step started at t=0, and will rewind there]\n",
"80 total step(s) taken\n"
]
}
],
"source": [
"dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"# All of these settings are currently close to the default values... but subject to change; set for repeatability\n",
"dynamics.set_thresholds(norm=\"norm_A\", low=0.6, high=1.0, abort=1.44)\n",
"dynamics.set_thresholds(norm=\"norm_B\", low=0.04, high=0.6, abort=1.5)\n",
"dynamics.set_step_factors(upshift=1.2, downshift=0.7, abort=0.4)\n",
"dynamics.set_error_step_factor(0.3)\n",
"\n",
"dynamics.single_compartment_react(initial_step=0.02, reaction_duration=4.0,\n",
" variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "ef1a4e35-b7d8-41ed-99a1-eb9bacfdd5bf",
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"text": [
"From time 0 to 0.008, in 1 step of 0.008\n",
"From time 0.008 to 0.0464, in 4 steps of 0.0096\n",
"From time 0.0464 to 0.08096, in 3 steps of 0.0115\n",
"From time 0.08096 to 0.2054, in 9 steps of 0.0138\n",
"From time 0.2054 to 0.3713, in 10 steps of 0.0166\n",
"From time 0.3713 to 0.5305, in 8 steps of 0.0199\n",
"From time 0.5305 to 0.6977, in 7 steps of 0.0239\n",
"From time 0.6977 to 0.8697, in 6 steps of 0.0287\n",
"From time 0.8697 to 1.042, in 5 steps of 0.0344\n",
"From time 1.042 to 1.207, in 4 steps of 0.0413\n",
"From time 1.207 to 1.355, in 3 steps of 0.0495\n",
"From time 1.355 to 1.534, in 3 steps of 0.0594\n",
"From time 1.534 to 1.676, in 2 steps of 0.0713\n",
"From time 1.676 to 2.019, in 4 steps of 0.0856\n",
"From time 2.019 to 2.224, in 2 steps of 0.103\n",
"From time 2.224 to 2.471, in 2 steps of 0.123\n",
"From time 2.471 to 2.767, in 2 steps of 0.148\n",
"From time 2.767 to 2.944, in 1 step of 0.177\n",
"From time 2.944 to 3.157, in 1 step of 0.213\n",
"From time 3.157 to 3.413, in 1 step of 0.256\n",
"From time 3.413 to 3.719, in 1 step of 0.307\n",
"From time 3.719 to 4.087, in 1 step of 0.368\n",
"(80 steps total)\n"
]
}
],
"source": [
"dynamics.explain_time_advance()"
]
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_curves(colors=['darkorange', 'green', 'darkblue'], show_intervals=True, title_prefix=\"WITHOUT catalysis\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "af8fec87-0f53-4491-b742-e909182781b9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [B] = 105.4 ; [A] = 14.63\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 7.20163\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 7.515573071036746\n",
"Discrepancy between the two values: 4.177 %\n",
"Reaction is NOT in equilibrium (not within 2% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"{False: [0]}"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reaction has reached equilibrium\n",
"dynamics.is_in_equilibrium(tolerance=2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9d774e6b-8952-4664-837c-08ba42f8be48",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"jupytext": {
"formats": "ipynb,py:percent"
},
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
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