{ "cells": [ { "cell_type": "markdown", "id": "5cbc8640", "metadata": {}, "source": [ "# **Enzyme Kinetics** \n", "\n", "### This is a re-visit of the first part of experiment `enzyme_1_a` \n", "#### An under-the-hood look at how the enzymatic reaction is internally modeled with 2 coupled elementary reactions: \n", "`E + S <-> ES` (reversible), and `ES -> E + P` (irreversible).\n", "\n", "The results are identical, because the algorithm (including the choice of adaptive variable time steps) is the same. The only difference here is that we aren't making use of the _native support_ for enzymatic reactions. \n", "\n", "Two other reactions being assumed negligible, and not included, are : \n", "1) the reverse direction of the 2nd reaction \n", "2) the non-catalyzed S <-> P reaction" ] }, { "cell_type": "markdown", "id": "604b150b-7812-4fd3-9403-69a06dd7e397", "metadata": {}, "source": [ "### THE REACTION: \n", "the enzyme `Adenosine deaminase` with the substrate `2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine`, \n", "and the initial concentration values choosen below, all satisfy the customary Michaelis-Menten assumptions that `[E] << [S]` and that the reaction rate constants satisfy `k1_reverse >> k2_forward` \n", "\n", "For this reaction: k1_forward = 18, k1_reverse = 100, k2_forward = 49 \n", "\n", "Source of kinetic parameters: *page 16 of \"Analysis of Enzyme Reaction Kinetics, Vol. 1\", by F. Xavier Malcata, Wiley, 2023*" ] }, { "cell_type": "markdown", "id": "c123db4f-c802-47f0-a3d3-0b857314d8e5", "metadata": {}, "source": [ "### TAGS : \"uniform compartment\", \"chemistry\", \"numerical\", \"enzymes\", \"technical\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "6e9d0902-6fc9-4692-ac39-0651d08902ca", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"Sep. 2, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc6\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "1e0ae9a9-9d0c-4edf-a5f2-1c589419e6cf", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "a29db1c7", "metadata": { "tags": [] }, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "import ipynbname\n", "import pandas as pd\n", "\n", "from life123 import check_version, ChemData, UniformCompartment, GraphicLog, PlotlyHelper" ] }, { "cell_type": "code", "execution_count": 4, "id": "af15ecf0-e083-4fef-b68e-abe794dcc86e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION) # To check compatibility" ] }, { "cell_type": "code", "execution_count": 5, "id": "121fdfdd", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'enzyme_1_a_technical.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging (for the graphics)\n", "log_file = ipynbname.name() + \".log.htm\" # Use the notebook base filename for the log file\n", " # IN CASE OF PROBLEMS, set manually to any desired name\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": "code", "execution_count": null, "id": "3713fa4d-e9bb-4e33-8734-c1d4d23cf177", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "34d1cefc-f644-410a-9fe4-5204964742ac", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "91a729ee-ad2f-4771-bc84-49ecb9d6a851", "metadata": {}, "source": [ "# Revisit Part 1 of experiment `enzyme_1_a`, but WITHOUT making use of native support for enzymatic reactions" ] }, { "cell_type": "code", "execution_count": 6, "id": "ac9eea69-174c-43e5-9eed-443cbc5e2ba7", "metadata": {}, "outputs": [], "source": [ "chem_data = ChemData(names=[\"P\", \"ES\"], plot_colors=[\"green\", \"red\"])" ] }, { "cell_type": "code", "execution_count": 7, "id": "90f9ec41-6e1b-4558-9400-47e35ece6efc", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
namelabelplot_color
0PPgreen
1ESESred
2Adenosine deaminaseEviolet
32,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purineSdarkturquoise
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" ], "text/plain": [ " name label plot_color\n", "0 P P green\n", "1 ES ES red\n", "2 Adenosine deaminase E violet\n", "3 2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine S darkturquoise" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Our Enzyme\n", "chem_data.add_chemical(name=\"Adenosine deaminase\", label=\"E\", plot_color=\"violet\") \n", "\n", "# Our Substrate\n", "chem_data.add_chemical(name=\"2,6-Diamino-9-β-D-deoxyribofuranosyl-9-H-purine\", label=\"S\", plot_color=\"darkturquoise\")\n", "\n", "chem_data.all_chemicals()" ] }, { "cell_type": "code", "execution_count": null, "id": "0f9c3501-0b99-47d9-87fa-3a027ede3799", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f8d4ea7f-0591-467c-9df3-d95f53df75f5", "metadata": {}, "source": [ "### Specify the Kinetic Parameters" ] }, { "cell_type": "code", "execution_count": 8, "id": "3be7173f-fc38-4a4f-a3f3-9c74e5f2ee58", "metadata": {}, "outputs": [], "source": [ "# Here we use the \"slower\" preset for the variable steps, a very conservative option prioritizing accuracy over speed\n", "uc = UniformCompartment(chem_data=chem_data, preset=\"slower\")" ] }, { "cell_type": "markdown", "id": "772fbac3-a526-48e8-8474-a4a2d038471b", "metadata": {}, "source": [ "### Here's where we start to diverge from experiment `enzyme_1_a` ..." ] }, { "cell_type": "code", "execution_count": 9, "id": "78077d8c", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2\n", "0: E + S <-> ES (Elementary Synthesis reaction) (kF = 18 / kR = 100 / delta_G = 4,250.9 / K = 0.18 / Temp = 25 C)\n", "1: ES <-> E + P (Elementary Decomposition reaction) (kF = 49 / kR = 0 / Temp = 25 C)\n", "Chemicals involved in the above reactions: {\"P\" (green), \"ES\" (red), \"E\" (violet), \"S\" (darkturquoise)}\n" ] } ], "source": [ "# Reaction E + S <-> ES , with 1st-order kinetics, \n", "uc.add_reaction(reactants=[\"E\", \"S\"], products=\"ES\",\n", " kF=18., kR=100.) \n", "\n", "# Reaction ES <-> E + P , with 1st-order kinetics, ignoring the reverse reaction\n", "uc.add_reaction(reactants=\"ES\", products=[\"E\", \"P\"],\n", " kF=49., kR=0) \n", "\n", "uc.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 10, "id": "373afeb1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `enzyme_1_a_technical.log.htm`]\n" ] } ], "source": [ "# Send a plot of the network of reactions to the HTML log file\n", "# NOTE: 2 reactions, instead of the 1 reaction of experiment `enzyme_1_a` will now show up\n", "uc.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "code", "execution_count": null, "id": "8913269e-9c1b-493f-8d28-c53f8cb7b5e4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d23a97ea-f252-4e11-a3e9-aea74f58591e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "9a4febb2-2780-4754-9c70-c2041b1afc07", "metadata": {}, "source": [ "## Set the initial concentrations of all the chemicals\n", "### in the scenario we're exploring, there's LITTLE ENZYME relative to initial substrate concentration \n", "In the follow-up experiments `enzyme_1_b` and `enzyme_1_c`, the enzyme concentration gets progressively increased." ] }, { "cell_type": "code", "execution_count": 11, "id": "8c9e3f86-b9a5-41da-9e1b-75258017808a", "metadata": {}, "outputs": [], "source": [ "S0 = 20.\n", "E0 = 1." ] }, { "cell_type": "code", "execution_count": 12, "id": "aae96512-3d86-4ab0-b167-92943523b7ef", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (P). Conc: 0.0\n", " Species 1 (ES). Conc: 0.0\n", " Species 2 (E). Conc: 1.0\n", " Species 3 (S). Conc: 20.0\n", "Chemicals involved in reactions: ['S', 'ES', 'P', 'E']\n" ] } ], "source": [ "uc.set_conc(conc={\"S\": S0, \"E\": E0}) # SMALL ampount of enzyme `E`, relative to substrate `S`\n", "uc.describe_state()" ] }, { "cell_type": "markdown", "id": "ef2c10f2-ec7f-497a-bdbf-4fea30ba31a1", "metadata": { "tags": [] }, "source": [ "#### Advance the reactions to equilibrium" ] }, { "cell_type": "code", "execution_count": 13, "id": "e6ad72b8-722a-4606-a611-7dc600529f30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "827 total variable step(s) taken in 1.711 sec\n", "Number of step re-do's because of negative concentrations: 2\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 706, 'norm_B': 710, 'norm_C': 706, 'norm_D': 706}\n", "System Time is now: 1.5039\n" ] } ], "source": [ "# Perform the reactions\n", "uc.single_compartment_react(duration=1.5, initial_step=0.05)" ] }, { "cell_type": "code", "execution_count": 14, "id": "0198dd94-e55d-4ab4-9de8-087d508edf06", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_pandas() NOTICE: Excessive number of vertical lines (828) - only showing 1 every 6 lines\n" ] }, { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=P
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"color": "#2a3f5f" }, "geo": { "bgcolor": "white", "lakecolor": "white", "landcolor": "#E5ECF6", "showlakes": true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Small amout of E relative to S(0)
Changes in concentration for `E + S <-> ES` and `ES <-> E + P` (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0019814760763400413, 1.5039403419420914 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.1111111111111112, 21.11111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Highlight a detail about the initial buildup of ES\n", "uc.plot_history(title_prefix=\"DETAIL at early times\",\n", " range_x=[0, 0.5], range_y=[0, 2.])" ] }, { "cell_type": "markdown", "id": "ba28bbea-b725-4e1a-9c64-7dbad40cf2c8", "metadata": {}, "source": [ "#### Notice how the bound enzyme `ES` (red) quickly builds up at the very beginning, from time 0 to roughly 0.01 ... and that, in the longer term, the enzyme returns to its unbound state `E`" ] }, { "cell_type": "code", "execution_count": null, "id": "0b89741b-e652-4030-abca-8567b3200ded", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "327163fb-5f35-474c-836e-32c17d487030", "metadata": { "tags": [] }, "source": [ "### What is the initial rate of production of the final reaction product `P`? \n", "One could take the numerical derivative (gradient) of the time values of [P] - but no need to! **Reaction rates are computed in the course of the simulation, and stored in a rate-history dataframe**" ] }, { "cell_type": "code", "execution_count": 16, "id": "39db903a-7619-4c60-8a6c-1b36b37ba84b", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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827 rows × 4 columns

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" ], "text/plain": [ " SYSTEM TIME rxn0_rate rxn1_rate step\n", "0 0.000000 360.000000 0.000000 0\n", "1 0.000500 274.543200 8.820000 1\n", "2 0.000750 243.269275 12.075109 2\n", "3 0.000763 241.911753 12.216716 3\n", "4 0.000769 241.237493 12.287060 4\n", ".. ... ... ... ...\n", "822 1.468805 0.253941 0.285397 822\n", "823 1.475832 0.244291 0.274566 823\n", "824 1.482859 0.235005 0.264142 824\n", "825 1.489886 0.226068 0.254109 825\n", "826 1.496913 0.217468 0.244454 826\n", "\n", "[827 rows x 4 columns]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rates = uc.get_rate_history() # We'll be interested in rxn1_rate (the reaction that leads to `P`)\n", "rates" ] }, { "cell_type": "code", "execution_count": 17, "id": "f63a5168-1dc7-4b6b-a164-78a5b607e4fa", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's take a look at how the reaction rate varies with time\n", "PlotlyHelper.plot_pandas(df=rates, \n", " title=\"Reaction rate, dP/dt, over time\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " x_label=\"time\", y_label=\"dP/dt\")" ] }, { "cell_type": "code", "execution_count": 18, "id": "d19d0316-7bd0-411d-9ca1-065c7c5795b9", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "SYSTEM TIME=%{x}
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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A closer peek at its maximum value\n", "PlotlyHelper.plot_pandas(df=rates, \n", " title=\"Reaction rate, dP/dt, over time (DETAIL at early times)\",\n", " x_var=\"SYSTEM TIME\", fields=\"rxn1_rate\", \n", " range_x=[0,0.05], range_y=[33., 34.5])" ] }, { "cell_type": "markdown", "id": "bfacc983-b8af-467d-87b2-2fee868d8254", "metadata": {}, "source": [ "As we saw earlier, the time it took for `ES` to build up was about 0.01 \n", "**Ignoring the brief initial transient phase, the reaction rate starts at about 34.1**" ] }, { "cell_type": "markdown", "id": "d165f4ef-9227-4f2e-9188-e611a4f6252e", "metadata": {}, "source": [ "ALL THE RESULTS ARE IDENTICAL TO WHAT WE HAD IN EXPERIMENT `enzyme_1_a`\n", "\n", "_(For additional analysis, see that experiment)_" ] }, { "cell_type": "code", "execution_count": null, "id": "485514fa-5259-4319-9aea-8adac65ae24f", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }