{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## Enzyme Kinetics in a NON Michaelis-Menten modality\n", "#### 3 Coupled Reactions: `S <-> P` , `E + S <-> ES*`, and `ES* <-> E + P` . Variation of experiment enzyme_3 \n", "A direct reaction and the same reaction, catalyzed and showing the intermediate state. \n", "Re-run from same initial concentrations of S (\"Substrate\") and P (\"Product\"), for various concentations of the enzyme `E`: from zero to hugely abundant \n", "### We'll REJECT the customary Michaelis-Menten assumptions that [E] << [S] and that the rates satisfy k1_reverse >> k2_forward ! \n", "#### We'll explore exotic scenarios with lavish amount of enzyme, leading to diminishing (though fast-produced!) products, and a buildup of the (not-so-transient!) ES* intermediate\n", "\n", "LAST REVISED: June 14, 2024 (using v. 1.0 beta33)" ] }, { "cell_type": "code", "execution_count": 1, "id": "cbb1af2e-3564-460e-a4ae-41e4ec4f719f", "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": "087c0d08", "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.uniform_compartment import UniformCompartment\n", "from src.modules.movies.movies import MovieTabular\n", "from src.modules.visualization.graphic_log import GraphicLog\n", "\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 3, "id": "b0ad0c93-02a5-43f4-8797-4b9f7ba50432", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'enzyme_4.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\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": "code", "execution_count": 4, "id": "23c15e66-52e4-495b-aa3d-ecddd8d16942", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 3 (at temp. 25 C)\n", "0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n", "1: E + S <-> ES* (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n", "2: ES* <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'P', 'ES*', 'S', 'E'}\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `enzyme_4.log.htm`]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = ChemData(names=[\"S\", \"P\", \"E\", \"ES*\"])\n", " \n", "# Reaction S <-> P , with 1st-order kinetics, favorable thermodynamics in the forward direction, \n", "# and a forward rate that is much slower than it would be with the enzyme - as seen in the next reaction, below\n", "chem_data.add_reaction(reactants=\"S\", products=\"P\",\n", " forward_rate=1., delta_G=-3989.73)\n", "\n", " \n", "# Reaction E + S <-> ES* , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n", "# Thermodynamically, the forward direction is at a disadvantage (higher energy state) because of the activation barrier in forming the transient state ES*\n", "chem_data.add_reaction(reactants=[\"E\", \"S\"], products=[\"ES*\"],\n", " forward_rate=100., delta_G=2000) \n", " \n", "# Reaction ES* <-> E + P , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n", "# Thermodynamically, the total energy change of this reaction and the previous one adds up to the same value as the reaction without the enzyme (-3989.73)\n", "chem_data.add_reaction(reactants=[\"ES*\"], products=[\"E\", \"P\"],\n", " forward_rate=200., delta_G=-5989.73)\n", "\n", "# NOTE: the forward_rate's of the last 2 reactions (the catalyzed ones) were tweaked, \n", "# to lead to a crossover point [S] = [P] at about the same time as in experiment `enzyme3`, in step 2 (when [E] = 0.2)\n", "\n", "chem_data.describe_reactions()\n", "\n", "# Send the plot of the reaction network to the HTML log file\n", "chem_data.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "markdown", "id": "5f3f488b-4cf1-4123-8dfd-9dfc2b9c64b7", "metadata": {}, "source": [ "Note that `E` is not labeled as an \"enzyme\" because it doesn't appear as a catalyst in any of the registered reactions; it only becomes an enzyme in the context of the _compound_ reaction from (2) and (3)" ] }, { "cell_type": "code", "execution_count": null, "id": "919280b2-fd0f-4557-9008-e154b64a2b66", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "0e771dda-1c0f-4fc0-ab21-049740643897", "metadata": {}, "source": [ "# 1. Set the initial concentrations of all the chemicals - starting with no enzyme" ] }, { "cell_type": "code", "execution_count": 5, "id": "5563e467-a637-44fa-9ba1-d35ddd82c887", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 0.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"mid\")\n", "dynamics.set_conc(conc={\"S\": 20.}, snapshot=True) # Initially, no enzyme `E`\n", "dynamics.describe_state()" ] }, { "cell_type": "markdown", "id": "651941bb-7098-4065-a598-e50c0b641ab3", "metadata": { "tags": [] }, "source": [ "### Advance the reactions (for now without enzyme) to equilibrium" ] }, { "cell_type": "code", "execution_count": 6, "id": "76f24d9a-a788-41d8-90a4-db87386f91aa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "27 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 0\n", "Norm usage: {'norm_A': 14, 'norm_B': 15, 'norm_C': 14, 'norm_D': 14}\n" ] } ], "source": [ "#dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "# Perform the reactions\n", "dynamics.single_compartment_react(duration=4.0,\n", " initial_step=0.1, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 7, "id": "4a19ad2a-fbd2-420a-b958-2daf88bcc841", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0027415894328746094, 4.153507990805033 ], "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": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, title_prefix=\"With ZERO enzyme\")" ] }, { "cell_type": "markdown", "id": "9a793ebf-f544-43ad-a1d3-059f74f3c02b", "metadata": {}, "source": [ "### The reactions, lacking enzyme, are proceeding slowly towards equilibrium, just like the reaction that was discussed in part 1 of the experiment \"enzyme_1\"" ] }, { "cell_type": "code", "execution_count": 8, "id": "d684e2c3-c717-4c95-8852-62729914e48f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: S <-> P\n", "Final concentrations: [S] = 3.37 ; [P] = 16.63\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.93491\n", " Formula used: [P] / [S]\n", "2. Ratio of forward/reverse reaction rates: 5.00001\n", "Discrepancy between the two values: 1.302 %\n", "Reaction IS in equilibrium (within 2% tolerance)\n", "\n", "1: E + S <-> ES*\n", "Final concentrations: [E] = 0 ; [S] = 3.37 ; [ES*] = 0\n", "Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n", "\n", "2: ES* <-> E + P\n", "Final concentrations: [ES*] = 0 ; [E] = 0 ; [P] = 16.63\n", "Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(tolerance=2)" ] }, { "cell_type": "code", "execution_count": 9, "id": "4677fcaa-e90b-4975-a567-cb55b66f91f2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.7322948238817497, 10.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)" ] }, { "cell_type": "code", "execution_count": 10, "id": "0a43f0bf-7718-4e60-8756-989ff3f7f680", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEEES*P
274.1507660.00.016.630111
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "27 4.150766 0.0 0.0 16.630111" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 11, "id": "d4e378a6-550d-44b1-9d38-110844da1397", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.63011072773748" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "code", "execution_count": 12, "id": "ddc9d6bb-ea70-4471-bc1f-b0f1c48fd84c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11.641077509416236" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 13, "id": "52f5a61b-eaab-46e7-ba0a-01c0b58ce9d1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9536647543782931" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "code", "execution_count": null, "id": "cf52d120-927e-44bb-893d-1673e9fd8bd6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "978149dc-c503-4ca8-b490-83a2e97b40a8", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "27401e5d-8f3e-4c27-8438-129d3e3408a2", "metadata": {}, "source": [ "# 2. Re-start all the reactions from the same initial concentrations - except for now having a tiny amount of enzyme (two orders of magnitude less than the starting [S])" ] }, { "cell_type": "code", "execution_count": 14, "id": "dd68db69-c705-4eed-9075-589a1359876f", "metadata": {}, "outputs": [], "source": [ "E_init = 0.2 # A tiny bit of enzyme `E`: 1/100 of the initial [S]" ] }, { "cell_type": "code", "execution_count": 15, "id": "373ce459-3b57-4ab2-a136-4eb8bedcdd91", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 0.2\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init},\n", " snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 16, "id": "bb87b0c2-6e5d-4e9a-86a1-9eb76cfe2d3a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1476 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 1458, 'norm_B': 1472, 'norm_C': 1458, 'norm_D': 1458}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=1.3,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 17, "id": "1c999a21-c1ab-4210-a8d8-430cc215d882", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 18, "id": "6991314e-58bf-473a-a0fa-c10f18369246", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.24856557905040474, 9.926581378605173)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)" ] }, { "cell_type": "code", "execution_count": 19, "id": "ceaf1c9e-9178-4511-af28-0b6918392300", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\", xrange=[0, 0.4])" ] }, { "cell_type": "code", "execution_count": 20, "id": "de531345-b12f-4c43-9954-bf46db6f1141", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.24856557905040474, 9.926581378605173)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)" ] }, { "cell_type": "markdown", "id": "41a77229-ad02-4e1e-8c3e-dfe2e6e0a302", "metadata": {}, "source": [ "### Now, let's investigate E and ES* in the very early times" ] }, { "cell_type": "markdown", "id": "738f8578-8cc9-4ed1-98f1-69291581ed24", "metadata": {}, "source": [ "## Notice how even a tiny amount of enzyme (1/100 of the initial [S]) makes a very pronounced difference!" ] }, { "cell_type": "code", "execution_count": 21, "id": "2bdb3ca1", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.002 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.011111111111111112, 0.2111111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#The very early part of the reaction\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])" ] }, { "cell_type": "markdown", "id": "1f1fdafa-f516-4490-99c1-1649a0b4d783", "metadata": {}, "source": [ "### Notice how, with this small initial concentration of [E], the timescale of [E] and [ES*] is vastly faster than that of [P] and [S]" ] }, { "cell_type": "code", "execution_count": 22, "id": "c5297f8f-2e7e-4acb-b029-6235388cbc4a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (1477) - only showing 1 every 10 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "markdown", "id": "a63d5742-334a-40c5-823e-27bc37cfb27d", "metadata": {}, "source": [ "Notice how at every onset of instability in [E] or [ES*], the adaptive time steps shrink down" ] }, { "cell_type": "code", "execution_count": 23, "id": "954dccf3-30c0-4d82-a1c0-8b2860ad2d17", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEEES*P
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "1476 1.30085 0.080546 0.119454 16.544949" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "markdown", "id": "71263cd2-4baf-44a3-b133-d7dcc1e0af94", "metadata": {}, "source": [ "Interestingly, most of the inital [E] of 0.2 is now, at equilibrium, stored as [ES*]=0.119; the energy of the \"activation barrier\" from E + S to ES* might be unrealistically low (2000 Joules). Zooming in on the very earl part of the plot:" ] }, { "cell_type": "code", "execution_count": 24, "id": "ee6e7870-8dad-4ff4-997d-286db0d3a8d6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.54494887428722" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "code", "execution_count": 25, "id": "b6e26868-1b81-49c9-af7c-836b881121c1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11.581464212001052" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 26, "id": "ac6a3e1e-3fa1-4bfd-8524-11116731c5cd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.31446597160581014" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "code", "execution_count": null, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b74e6177-a59f-4e10-ad5b-945e7f8e63d9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "6d946522-d437-49af-9fe1-0ddc4f2fcbaa", "metadata": { "tags": [] }, "source": [ "# 3. Repeat last step with increasingly-larger initial [E]" ] }, { "cell_type": "code", "execution_count": 27, "id": "7f1bdff5-4816-4b34-af29-81013e431696", "metadata": {}, "outputs": [], "source": [ "E_init = 0.4" ] }, { "cell_type": "code", "execution_count": 28, "id": "9669e103-0a48-42d6-ace4-cc6ca19fd313", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 0.4\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init},\n", " snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 29, "id": "f5140de7-0838-442a-909f-695715fb0918", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1211 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 1195, 'norm_B': 1204, 'norm_C': 1195, 'norm_D': 1195}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=1.0,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 30, "id": "d6c74db1-b3a2-41d2-8785-04e75ab69870", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 31, "id": "9cb3906d-b25c-4b3e-b695-c24f43b26246", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (1212) - only showing 1 every 9 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0006611288354746942, 1.0016101857441617 ], "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": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "0d428e60-9735-4008-b909-59884bac38b0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.1480911200305407, 9.85341706705381)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)" ] }, { "cell_type": "markdown", "id": "022c06df-44ad-4b15-b329-143cb68c6c02", "metadata": {}, "source": [ "Notice how the timescale of [S] and [P] is becoming faster with a higher initial [E]" ] }, { "cell_type": "code", "execution_count": 33, "id": "54c21fc6-42ee-4dd2-9f50-b84a793adca5", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.002 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.022222222222222223, 0.4222222222222222 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0006611288354746942, 1.0016101857441617 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.022222222222222223, 0.4222222222222222 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 35, "id": "71a8ff12-53d3-4908-8d50-39305b852388", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEEES*P
12111.001610.1619310.23806916.466878
\n", "
" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "1211 1.00161 0.161931 0.238069 16.466878" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 36, "id": "e4fd52be-db88-4b57-94a3-217cce0386c0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.466877520220297" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "b0d8f75f-55a3-4712-ba46-9eb97833138c", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 37, "id": "717d906a-659d-4635-9914-3b7eebf2f4df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11.526814264154208" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 38, "id": "cc46e532-b71f-4697-97bc-e0cad1328a1e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.18680188203718445" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "887bf402-e6e3-461f-88dc-cf87bbdf40a8", "metadata": {}, "source": [ "#### The time at which the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "8a318f52-7710-43df-b9ac-86c8ab690d60", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "6201afdd-cbdf-47f0-9289-ea290386c660", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "802b910e-0fa0-463b-a220-873c5882a33f", "metadata": { "tags": [] }, "source": [ "# 4. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 39, "id": "31bbf923-046d-4da3-9c33-c8f57ef3814c", "metadata": {}, "outputs": [], "source": [ "E_init = 1.0" ] }, { "cell_type": "code", "execution_count": 40, "id": "631bd026-58da-4295-9f05-d132577cb0cc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 1.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 41, "id": "ba3e8cca-873f-40dc-97b5-38374fcc826c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "866 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 844, 'norm_B': 849, 'norm_C': 844, 'norm_D': 844}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.4,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 42, "id": "c2b19731-38b2-4d09-bca2-3b666c633eee", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 43, "id": "522e8f39-c7b3-4edf-80f3-3cf25c440e1e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (867) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.00026413085678491884, 0.400158248029152 ], "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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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 44, "id": "93a7b3b5-ffff-4417-b768-bf9886e9ef7e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.06628340509848926, 9.635470546269993)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)" ] }, { "cell_type": "markdown", "id": "46e10d97-2c62-4e6d-9429-cc769a47e596", "metadata": {}, "source": [ "The timescale of [S] and [P] continues to become faster with a higher initial [E]" ] }, { "cell_type": "code", "execution_count": 45, "id": "fb00b2fc-2bc2-433f-b907-019e786f68a1", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.002 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.05555555555555555, 1.0555555555555556 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 47, "id": "ee454fdd-62fa-48d3-ac1c-b967279bd1e1", "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", "
SYSTEM TIMEEES*P
8660.4001580.4091280.59087216.1715
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "866 0.400158 0.409128 0.590872 16.1715" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 48, "id": "264292b6-4ba1-4c36-8ea7-29472756a879", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.171500029051185" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "97f3ff27-4e2f-4af9-b9f6-ad8e44d6e10a", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 49, "id": "ceee7058-2661-4259-a2e6-0bd6732cc2ac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "11.32005002033583" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 50, "id": "6b0b5166-ba0c-4b15-a632-84362fbdcd5c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.08364939325100468" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "c295cb25-41de-4405-83ee-0a5e5db0d304", "metadata": {}, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "cd775a94-b7c3-4c2b-9da2-4bfacd53fa26", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bd7d5617-cf3c-4c03-bd77-9ccfcb12dc4c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "2d43197e-eef6-4ea2-a489-ca6ed165b024", "metadata": { "tags": [] }, "source": [ "# 5. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 51, "id": "0b2f4582-ea90-41fe-b69a-c565738e4344", "metadata": {}, "outputs": [], "source": [ "E_init = 2.0 # 1/10 of the initial [S]" ] }, { "cell_type": "code", "execution_count": 52, "id": "fb3ca78d-c024-47b9-be04-5c74d7213727", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 2.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 53, "id": "9336e30c-950b-4bc6-844a-68c3653b0244", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "818 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 812, 'norm_B': 816, 'norm_C': 812, 'norm_D': 812}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.2,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 54, "id": "76f54bfa-0189-4712-b676-667adb514a8c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 55, "id": "502e0b54-b059-46d6-830d-b06199c1e666", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (819) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 56, "id": "c5bb9972-79ba-43db-a0de-66d9495bcef4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.033892638379102225, 9.277504597225233)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)" ] }, { "cell_type": "markdown", "id": "ddf4a727-1fdc-4b61-953a-d582cda053ce", "metadata": {}, "source": [ "The timescale of [S] and [P] continues to become faster with a higher initial [E]" ] }, { "cell_type": "code", "execution_count": 57, "id": "cab73b69-81c6-48cf-be12-73ddd0e9a4d2", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.002 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.1111111111111111, 2.111111111111111 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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fHR8ekHG2udwOmDOX75LpE6wxw4mUTf9u6u1PF1y29fGut7b6c2oftuuMWX+xHozYwi9s1/FY31H9u2NrU25fc7Rdc8zy6Wx1jrbrj+28TmUzjYHUwwO9/kyOieQlVv3p507keh/rmmG7fjndn91c+920M7fXcf0Bi0042x6Smq/I2spn42F7i8JJrCZ6bzfbH/dVVF8s0XuVl42gvCEPkAsQ8A6BnBerbi+gCnm8J/zxXhFUFzhzhMjmyGeeK9bF0RS2Tvk0z+80uub0KqTe9GKNrJri3+2olJsbgJPAs4kbp1d1zHK7ed3KqVNsvq4aT2TpIwJuxKrbUUDba7OJdOQT4RpvVFblORazrds/iun26MTRKU1b20n2Va2uit1Y53XapsoVr75N4ebmCX8utwP1cMJppC+Rsjm1KafrTiJtym392R5Cchn5ePXwzOl6Gevawt9JXtTDjVjXdt1hNta9gtOL5UIbqy2rsjjVj+1648TGLIuZpqonFuHDBg+IPNQwmSSSl0TFqq19OpXHTNupDtzclzgt27XfTTtzex2PdV/Wr0ex2qfba3EiYtU2UpvIvV33ROjKvSobngre6f4jJyCQOwQgVi/UVbyboFml+tNftzeMWJ0y88bkdGMwb2rqJtkV45h0iFU3He9Ywtcst1ux6kZMx4rv0W9amRKrTq/K6p2mRDryiXB122b118HiiTDzOxJrBNxpugW334NEL7GJGizF+/7ZOraKlfnAy3zdlPOuf19jtUtVzu7QDpxG4hMpm1Obcrs+1nfbqf7MtqYegMR6zbYr4oWP0Z2zndqFWQbFrytvH6iRuViv9ce7N6oHt4nEJdvuY8x55pRxcqoXda3h7068kXI+zq0o5H1jvQZsGsG5FatO1wunfLm59rtpZ26v4/G+Y+ohSSyO2RKr8e5r6o2NrtyrIFYTvZNifxDIDoFuIVYTuUknMrKqOpn6KKrthuz2hhHromveFG0dXL2J6B0lW1yLm3ildIjVZEWj+TqdW7HqpsOvbv5OXzXVYcuEWFV5sTnWdlWsxmJgcnXbZvWOoM7NzcMRJ46xOj3mmxJuO0huLp+JdGidzuvUydTPbzqPm0LA7QMZPc14nU1d/Hu1HXhBrCZSf7HalO1aYnu90nzAo7/G6pS+OsatWOV0bOnGiytX51eCVc9PVwRirO+X7XVYfUSPv/eKnxKofF9nnwLbK6rmA6FEvtvpEKtOotaWL7fXfq6PeO3M7XXcKU5W1bnqQ8W6zri9Fqd6ZNXWPp3uRbZY21j3KohVN3dO7AMC2SeQ82LVbXymQu1WrMZ7ItqVkdVExKr5qmAiTUXd4OLZsqdDrHp9ZFU9QY7FM91i1WkEwnbeRERKvCfQ+itXbjs5Nk7qPPEeiHhpZFUX3fFibVUn0faKmu11Pae25NSBNTt9bh605HI7YD6xOoWJlM3tCKqqE3P/ROrP7TVXj3lUQjPeyGq8cBM+t1O7cBNqoTr4btq6WU71oFTlMR0jq3xONZLMeWRRqot0fhWY4zpfXLcpyo/CbV5i1V02xWoi136zDLZ25vY67vYVdy+KVfONA7ffS9XG2MjQ6V4FsZoITewLAtkjkPNiVY910Y1MdKQsyrjjGWvqGvMi7XTRTmZkNdbTX7cxq2ZT4Qs5G7Doi5vOjN5570r8rVOTjfcqGL9mlUhspduR1XhP9fm8boQ0lysRsWqLYVZs4nVYzYcJtvPGejXRbWyPLV23nRxb+1LiI97ITbZiVp3ybBvdcWrHXYlZ1dNKJPYrVrtUcZC53A6U+HcyWEqkbMmK1VgPItzchvn8z7+2sdO8wU73D3NkNVa7MM/v9B01z2Vr727PYzvWvJYmIhDdxqzq9x8zTlWd31zPxySSF6f6TIdYdaork6Xbe5/bdub2Ou62TxAvtjUdbsBmv83tfc1NXyjWvcotEzfXBewDAiCQXgI5L1b1m57tdWBzlNHtyKrNWU5/hawrI6uqo8SfuoGRU9wQ3/htZeL9eSoXFt+qfHqnyO1oczpGVrlsqjz66IH5dNSWb/NV1VgdS9tN2pYm78dLLDdg3s7543gpdn5ORKzGuhk6tTWVvi729Kfm+lPgWHlxy8DG1W0nR5XB5oAcb9QmHsd4TtddFRa29qfaejyBrS63scSqug7Y0uLvrPouOrVn0wFTtSGTh/52RS63A/X94hEOW9xzImVLhVh1W3+2W686v/lqoVnX8R7a8XRY5veHj9Gdy1U71pnZ7ku29u72wYztHmOeNxGBqPa1vUbs9HCOOducZ3m9ySiRvGRSrMbrL6jyub32u21nbq/j+nfQZM3XRuU6rt+/bTMeuAn/SPVrwE59Cl7P7YEXfhid6L3K7cPr9HbBkToIgIAbAt1CrOodTH0OOF5vXlzdilU+1oxv4rTUfJ9dFauqA67nk28e/BqU7VUVW7yGrZNvVrYbM5x0iVV1E9HnJ+V1Zp7MOJpY86zGe/qqym+maRP7TvE7Kn/xRJYpUsx2YptntVP9iBEac05eNbet2Q7MOJxUzq/pxvXZ1gbjvWIu6/tCGZ1ewTLTtYk/t3FSJt94cXjxLo5uzmuLK7fFp5rzUvIUTk4umPr8oOb3IVfbgX4tdXrA4bZsqRCrqu7d1J+tndjiXm3XLjOO1OZ9YKZvu6+Y9zQbQ1tso5tXjfWHZCov5jUzUYFo4+OUF9sDHc6H0wPXRPNiq790jKw69Rd46jvduVm/Luq8bdd+N+0sEbHK57PFdPJ683puXj95O5cjGyOripNTvLdtOhu93p3uVW6u8fHuE9gOAiCQGQLdSqxmBlnqz5KOOKrU5xIpggAIgEDXCbiJze166t3vSPDqfnWKEnmDgNs3D7yRW+QCBEAAYjXDbUB/3VSdGp2SDFcCTgcCIJBxArZXIDOeiRw6Ie4LOVRZyGrOEMB1KGeqChkFgQgBiNUMNwbbK6hu4kAynE2cDgRAAARSTkCNaOCaFx8txGp8RtgDBBIhoF6DTmS6w0TSx74gAALpIQCxmh6uSBUEQAAEQAAEQAAEQAAEQAAEQCAJAhCrScDDoSAAAiAAAiAAAiAAAiAAAiAAAukhALGaHq5IFQRAAARAAARAAARAAARAAARAIAkCEKtJwMOhIAACIAACIAACIAACIAACIAAC6SEAsZoerkgVBEAABEAABEAABEAABEAABEAgCQIQq0nAw6EgAAIgAAIgAAIgAAIgAAIgAALpIQCxmh6uSBUEQAAEQAAEQAAEQAAEQAAEQCAJAhCrScDDoSAAAiAAAiAAAiAAAiAAAiAAAukhALGaHq5IFQRAAARAAARAAARAAARAAARAIAkCEKtJwMOhIAACIAACIAACIAACIAACIAAC6SEAsZoerkgVBEAABEAABEAABEAABEAABEAgCQIQq0nAw6EgAAIgAAIgAAIgAAIgAAIgAALpIQCxmh6uSBUEQAAEQAAEQAAEQAAEQAAEQCAJAhCrScDDoSAAAiAAAiAAAiAAAiAAAiAAAukhALGaHq5IFQRAAARAAARAAARAAARAAARAIAkCEKtJwMOhIAACIAACIAACIAACIAACIAAC6SEAsZoerkgVBEAABEAABEAABEAABEAABEAgCQIQq0nAw6EgAAIgAAIgAAIgAAIgAAIgAALpIQCxmh6uSBUEQAAEQAAEQAAEQAAEQAAEQCAJAhCrScDDoSAAAiAAAiAAAiAAAiAAAiAAAukhALGaHq5IFQRAAARAAARAAARAAARAAARAIAkCEKtJwMOhIAACIAACIAACIAACIAACIAAC6SEAsZoerkgVBEAABEAABEAABEAABEAABEAgCQIQq0nAw6EgAAIgAAIgAAIgAAIgAAIgAALpIQCxmh6uSBUEQAAEQAAEQAAEQAAEQAAEQCAJAhCrScBTh5ZXNKQgFSQBArlBYPiA3oQ2nxt1hVymhkBx76BMqLahNTUJIhUQyAECuNbnQCUhiyknwO0ei7cIQKymoD7QcU8BRCSRMwTQgcmZqkJGU0QAYjVFIJFMThHAtT6nqguZTREBiNUUgUxhMhCrKYAJsZoCiEgiZwigA5MzVYWMpogAxGqKQCKZnCKAa31OVRcymyICEKspApnCZCBWk4T5xhtv0ITp85NMhei9TW/R4YP76eyZU9a0fD4ftbe3y238u744rVfH+Hx+sXu7PJ7/+/1+LQ1ONySTC4VCFAzmkc/vI784R0tL+JW3vLw8uU0cLbc3NtRT796F1NzcTPn5+fKzd2Eh1dXWUEnffnJ7IBgUx+XT+fN1VJDfi4J5QWpuahIpkDy2ra1V7Ncg81NY1CeSTmtLM9XXn5frAoGATIPPL/PH+Rf5aAu1ifz5Rf5aRFmiWfD+nNc8kS+/P3Bhe3gfTq+psVGkE6IGcY7ammoaMHAwFfTqJfJUJBk1NTVS9bkq+dm//yAq6dePV1N19Tmqqjwj9h9CxSUlcl2tKG/F2VM0unQ8FfUpptOnTsi/yyZOleerqqwQTKrF39NEeg20f+8HNGbcRCouLqFDB/ZRfkEv8XeZ+H2/YNNIEyZPp5PlR2W+ps6cTfs/+kCmM2HSFNq9YxsNGDSEBg0eQps3rqfZ8xbR+boaKj92hGbNWUDbt26k4SNHi3yUiH230sLLrqEtG98U6U+QaZQfP0ozL5lL6155ji6/aint27NLll1tmzN/Ib38/DN04/I7xOfTYp/raOumt6l0bJk8Dy+cdmXFGZoycRxt2rKN+Jh31q+ly69eSq+IY69ftoKeW7Pa+snbeb83Xn1efnJ75/Jymx82fKRsO7z0EWxOlB+j6bPmyH1vWbGSHvnJf9C9X/hHenr1Knnsru1b5TG88L6z5y2U511x132RfQ4LvryUivKrdNTxzIzLtGDxlZG0N25YK8vHvFRab7z2gjzPsBGjO63jenzi8Yfp7nu/JMvCy+z5i2j14z+T5ed6Z343LF9BKu0ZF8+NbG9uborka+f7WyL5YU7MhfOh0ioQ7USdq+Ls6chx3Ia4Hq9Zupz0NPT8uPldP3bvhzslU67/E8ePRMrAbVJx4bL+6pEf0u133S/acIGse5VnPS09r3yMKk9xSd8oJuZ+f3pmtWxbzF0vI6eh6pDbrrlNP85MU68DM/96OXmbzoz/5nQXL1lCo0aVyteA9bLzNU3VDe9rntdM28xzvL/N9MzzmWVR+VX8bOUx0zTrxnaM7bzq+zFxygzZ/s02wutM7rxOfZ/lQWIxGfA6M21bOW3ns6Wlt0l1TrOObWV2WmdLz3ZeW/5srJ3Ka7YdlXf9e6TW2fJkY8br9O+4Op4/9e+WWl8YaKJHH1slr6364nQ+W705pe3EwinfsdbbmPD++jVBz7+tXTq1RXWc2W7Veqe0nOrfqb55ve17Fq+Oebt+DY6qKPGHfr3St8XKn+0aoY7t6rZYZYvVFnibE2Pe5vQ9Ufm1tWu1zem7ALFqtqLs/w2xGqcO/vrL36N33/swaq/dr6+K/A2xCrEKsQqxyhcEiNUJUaIZYrVzRyqeODW3Q6yGhTAvZqcbYrVvhA3EavghIT8I0xeIVYhViNXsC81U5ABiNQ7FJcsepPVrfhzZ62vf+Tlt2LQzsg5iFWIVYhViFWI1PBqMkdWOkW/bU3+IVYys2kYBbSOSGFkNv7mhL06jhBhZ7Xi7xezSYmQ1/EaWepNM54OR1VTIyMykAbGaIOedHx6gFQ98i1Y/9E2aMWWcPBoxqwlCxO45TQBxTDldfch8FwggZrUL0HBIzhPAtT7nqxAF6AIBvAbcBWhpPgRiNUHAP/7l0/TUH9dFjbZCrCYIEbvnNAF0YHK6+pD5LhCAWO0CNByS8wRwrc/5KkQBukAg02L15pXfoAH9S+jR73+lC7nN7iG2Abx05AhiNQGqqlK+/dV7aNm1i+WR1T+uJv9fijmZ+kYb/SSQLHYFgZwiUFyYR7X1LTmVZ2QWBJIhkJ/HJnXCAKUlbEaHBQR6AgFc63tCLW1uWvIAACAASURBVKOMJgFu96lcbN43/fsVRwa9siFW17y4gb7x3V+Qrme6UmaI1a5QS+MxqkLu/8xN9OBnb4mc6cVvvUiX9ltAgZt6k29wuEPTleWdt9fTn/fvE46yJ62Hx3YD5kPaO7kER9yAhfuvsN3lf9L5V3cD5n3YPZcX6QYsnHfZaZfXt7S2EEvwiBuwOD5PuPrW19dTYWERNQlH04L8AvlZJP6uEY6h/fpdJLcHhRswOwXX1dVKt9084SLcJJwzOZ/sHNza2koNwg2YM1XEbsAiNoXd4lqEG/D58+eFM2sfCgaEo3B+nnQEliUU+3IeQ21twrGY3YCbRT6jmfM5eR/+DAg3YN5PmSf7pRtwgzi+nc7X11FNdTUNFu66nD8uDy+NYntVVaXYr4kGDhoky8PLuaoqOnv2jNy/pG/YxIGPP336FI0dP146/J4sL5d/T546VXDzCWfQs1Rdc46mTp1BDSLdPR/sprIJE6mvcEzev+8jYpfX8RMm0J/37ZPuw1OmzaDjwqmW0511yRy5Py+Tp06j7du2SifgoUOH0Yb1b9DHFi6mGuGge+zIYZp36cdo87vv0MjRpVQi8vHee5vpqquvpbfWvy7SnyjTOHbkCM2ZN59eeO6P9MnrbqAPdu+Q6altCxYtpmef+T3ddvudtOaZ38l9Nr61gcaXTZDn4YXTPnPmNJWNHyvO8T7xMW+sfZU+IfZ9ds3/0a233UlPPfkb6ydv5/1efuFP8nOjaO9Tp80UbX4vjRw1WrYdeQ5hkHHs6BG6ZM48ue+dd3+Wvv+f36Ev/8PX6Te/+qU8dtvWzfIYmXex78cWLpHnvedzn4/sw+nyMr5sYiQddTwz4zJd8fGrI2m/vu5VWb6yCZMiab0kzs/nYRdYlb5ax/X4i5/9D33+i18m/u7ywvn4xc9/KsvP9c78PrXi06TSnj13fmR7o6hvVb73tmyK5Ic5MReZ/oW0CnoVRM7F7Usdt3/fXlmPNy37S9LT0PPj5nf92N27dkimXP9Hjx6OlIHbpGLAZf3pj75P99z3N7IN63nW09Lzyseo8vD3R2di7ve71b+VbYu562XkNFQd8vfQ3KYfZ6apn8/Mv15O3qYz47853SWXXSZcv0ulWNXLzt9b1Q54X/O8ZtpmnuP9baZnns8si8qv4mcrj5mmWTe2Y2znVd+FadNnyvZvthFeZ3Lnder7LA8Si8mA15lp28ppO58tLb1NqnOadWwrs9M6W3q289ryZ2PtVF6z7ai8698jtc6WJxszXqd/x9Xx/Kl/t9T6tubz9NiqVfLaqi9O57PVm1PaTiyc8h1rvY0J769fE/T829qlU1tUx5ntVq13Ssup/p3qm9fbvmfx6pi369fgqIoSf+jXK31brPzZrhHq2K5ui1W2WG2Btzkx5m1O3xOVX1u7VtucvgupFKvTrlhJujBV52YBO2TgRfTvX/8cZUOsmu2kq39DrHaVXBqOU08g9DhVdZqXf/QyzaueR+3CB6BlUZDaJge7lANMXRM2asLUNZi6BlPXYOoaTF2zXN5H4AYMN2Ce/kpfMHVNZ+MlGCzBYMn8nqjvTDbdgFmQ7jtwLCps0CYQlFjlbWr2ESeBq89OomsSNoNdPH+GNICtPFcrT8ODa6NGDJYjqGpRx9hEpjkCrAbnYs2KArHaJcmX+oNYqP7Xw086NjZ2A55WPZsC28NzkrbOC1KL+J/oArEKsYp5VjHPKuZZjZ4bEfOsRrsLY57VDqGCqWswdU2kA35hfmtMXROeV11f4AacPTdgHlW96RML5ehprIXF6v5Dx6W4VG9usvicMG5kJI6VBWNFZQ39YdW3ZVLsn/Pwr58lNZUm788iVYlRtd183ZiP5TRMkWkKa97+34/8Tp6ft/3dvZ+KmMpyfp3SSVT7uN0fMasxSKnKtO2iv+fNBkt5m1spKP7z0jYrSM1ilBULCHRHAjDd6I61ijLFIgCDJbSPnkgA1/qeWOsocyoMlmweN05kba8B8zSZH+w9bBWWKh0WqLfe+HEpcNXIqhLGthFPfepNfTunx7OcuI1f1Y1mMbKaQ98X5QYc2NNKeW+1kk+EZraNEDGV1+bL14OxgEB3IoAOTHeqTZTFDQGIVTeUsE93I4BrfXerUZTHDQGviVUVimjLuxqNdRKrugB1Epl/PlwuXxVWo7S286iRW30b7w+x6qZFeWQffeoa/9l2yn9RGP/UCEOjEh813SQEq/jEAgLdhQA6MN2lJlEOtwQgVt2Swn7diQCu9d2pNlEWtwRSIVb5XIm8BmxOXaOPrCqxGk9McsyqObKaCrHK5bh09pTIK8n6K8gQq25bVZb345jVCdPnR+WChWrBsx2CtVmMsIYGxhasiFlFzCpiVhGziphVxKzu27OLrlkKg6Vhw0fSxCkwWILBUkf3yin+EgZLMFjKRYMlFqRObsC214BjvaabzMgqf8OcXgO2CWWI1SwLz66c3iZWOR1+FThPjLAGjodcOQVDrEKsQqxCrEKsQqxCrBK98doLBLF6hLZuepsgViFWmcDO97fQ+boaWrD4yk5dVf2+YW6EwVL2DJbU6Krp7KsEoDJfihezyukoR159dJUF7aWzp9Kyaxc7xqy6GVmdMWWcnD6n8lxNxExWGSyxsZIpZHmklRe8BtwV1ZilY5zEqspOvohhdeMUDLEKsQqxCrEKsQqxCrEKscr9hxPHIVZ5/nV9wcgqxKrZ1Xf6nqj9sjl1jcqDbeoXXUS6Eau6YNUZ6G7AXX0NmMUqL8qVWKWv8sii+NmX346cluNklRMxXgPOkvjsymn1mFXb8SxWWbTyAqfgrhDGMV4igDgmL9UG8pIJAohZzQRlnMNrBHCt91qNID+ZIJCqmNVM5LWnnANT16SgpuOJVT6F/2Ab5a9tgVNwCngjiewSQAcmu/xx9swTgFjNPHOcMfsEcK3Pfh0gB5knALGaeebxzgixGo+Qi+1uxKoUrHAKdkETu3idADowXq8h5C/VBCBWU00U6eUCAVzrc6GWkMdUE4BYTTXR5NODWE2SYbyYVTN5dgrmqW1YuPIcrM03F0inYMSsImYVMauIWUXMKmJWEbOKmFXuNyBm9X5CzGpHDxIGSyU04+K5nXrsuRCzmqTMwOGCAMRqks0gUbHKp2OnYH4lmF8N5qX5yiBtrnmXDh/cT2fPnLLmyOfzUXt7u9zGv+uL03p1jM/nF7sLcSyO5/9+v19Lg9MNyeRCoRAFg3nk8/vIL87R0hKOs83Ly5PbxNFye2NDPfXuXUjNzc2Unx8Wmb0LC6mutoZK+vaT2wPBoDgun86fr6OC/F4UzAtSc1OTSIHksW1trWK/BpmfwqI+kXRaW5qpvv68XBcIBGQafH6ZP86/yEdbqE3kzy/yJxiKvOoL7895zRP58vsDF7aH9+H0mhobRTohahDnqK2ppgEDB1NBr14iT0WSUVNTI1Wfq5Kf/fsPopJ+/Xg1VVefo6rKM2L/IVRcUiLX1YryVpw9RaNLx1NRn2I6feqE/Lts4lR5vqrKCsGkWvw9TaTXQPv3fkBjxk2k4uISOnRgn7gR9xJ/l4nf9ws2jQSxCrEKsQqxCrEKscr3D4hViFW9bwOxCrFqFQc9ZCXEapIV3RWxqk6pOwW/M3wzHWw6ALEKsSpF9NSZs2n/Rx/IpjJh0hTavWMbDRg0hAYNHkKbN66n2fMWSRv78mNHaNacBbR960YaPnK0EM0lYt+ttPCya2jLxjeFGJ4g0yg/fpRmXjKX1r3yHF1+1VLiDjELdbVtzvyF9PLzz9CNy+8Qn0+Lfa6T0yaUji2T5+GF066sOENTJo6jTVu2ER/zzvq1dPnVS4lF1vXLVtBza1ZbP3k77/fGq8/LT36TgMU5P6DhKSr4QQcvfYSQP1F+jKbPmiP3vWXFSnrkJ/9B937hH0m5+u3avlUeIzt0Yt/Z8xbK8664677IPofFwwBeSkX5VTrqeGampgBQaW/csFaWj3mptNT0GcNGjO60jh86PPH4w3T3vV+SZeFl9vxFpOb744cUatoJlTY/FVbbm5ubIvnSOyEQqxCrEKsQqxCrP6Tb74JYhVgNE9DvoWaXHSOrSYqYHDkcYjUFFeU2ZtV2qiin4MlBalkUlK8HYwEBrxJAHJNXawb5ShcBxKymiyzS9TIBXOu9XDvIW7oIIGY1XWS7ni7EatfZRY5MRqxyIv5y4RT8QtgpuL3ER83XildZRRwrFhDwIgF0YLxYK8hTOglArKaTLtL2KgFc671aM8hXOglArKaTbtfShljtGreoo5IVq5yYabzUMjco52TFAgJeI4AOjNdqBPlJNwGI1XQTRvpeJIBrvRdrBXlKNwGI1XQTTjx9iNXEmUUdkUzMqp6QdAMWRjtnhUGPbYHBEgyWELO6Ssa7ImY1HMvLJl0qvlGPe9VjaN38rh+798OdMg6YY5b1WCCOo1axvHx9+tUjHTFlepytnlbF2dORuFw+RsXrFpf0jYpBMvf70zOrZTw0xwrrZeQ0VNwxx1ub2/TjzDTNmCc9/2bMk86Mz8npLl6yhEaNKqXahtaosrNpnIpd5n3N85ppm3mO97eZnnk+sy5UfhU//tssj5mmWTe2Y2znVTHdE6fMkLcss43wOlusmYoTV/c5kwGvN9O2ldN2PltaNmMak4mtzE7rbOnZzmvLn421U3lhsISYVb0vCIMlGCxZxUEPWQmxmmRFp1Sswg2Y4AZ8FAZLMFiSRk9K3BUI12gliHShAbHaIdZNkQaxGhb7EKtEEKvRok9/IKV3f/QHQWp9YaCJHn1slTSvcyOcbA8Z+Dhb2k7C3fZgQp1bf8ik50d/EKav1x9g6eudDHtsDx3UceZDFrXeKS2nhxVODyd4ve2hkDoPxCrEapJyRR6+88MDtOKBb1mTuv8zN9GDn70lFadJeRoQq0kizZhYJTHFjJz4BVPXYOoauAHDDRgjqxhZDd+8zA682UHHyOqWiPu3ut1jZDX89oS+QKxSp7c1dD4Qq2EatjczFKdY22IJcT7e6YEDb4MbcJJCRTtcidXVD32TZkwZl7qE05wSxGoKAKciZtUpG7pbMJsusfkSmzBhAYFsEUAcU7bI47zZIoCY1WyRx3mzSQDX+mzSx7mzRaA7x6xCrGarVXngvOkUq1w86Ra8tlWaMPG0NjBf8kCl9+AsoAPTgyu/hxYdYrWHVnwPLzau9T28AfTQ4qdarLYea6X21vCbkZlcgiOD5AtGD25BrGayBjx2rnSLVS4uT2uTt6WVeKSVl7YRfmr5eB5GWT3WFnpCdtCB6Qm1jDLqBCBW0R56IgFc63tiraPMqRarNY/UUNvJtoyDLbm3hAJDA1HnRcxqxqvBGyfMWMyqT8Sstl+IWRXxq/riFMuqHIR9Pr/YXewljuf/fr+feFt44XRD8rdQKETBYB75/D7yi+0tLWFhnJeXJ7fxeXh7Y0M99e5dSM3NzZSfny8/excWUl1tDZX07Se3B4JBcVw+nT9fRwX5vSiYF5TmAVwCPratrVXs1yDzU1jUJ5IODJZgsMRutNNnzYk4yapYIRVTBTdguAHDDfhLkVsAYlY7zH/gBnxlVN/AZkgEgyXnGEgYLIWbT1fjUhGzatcl558+T6G6cD87k0vRLUXk78P9/44FI6uZrAEPnSsrYpWFpvZGAcRqR4NggczCOk+IaL8/IP6zKA8L80AgQE2NjRQS4ryh/rx03eVOb0GvXkJAF4k92qmpqZGqz1XJz/79B1FJv36SdXX1OaqqPCP2H0LFJSVyXa0Q5xViqqHRpeOpqE8xnT51Qv5dNnGqPF9VZYUQ8NXi72kivQbav/cD4fI6kYqLS6SRQ75weR0zrkz8vl8I+UaaMHk6nSyHWIVYnQ43YExdY+00YuqaDmdbTF3TN3Ljc3KKhVjtmAZL7zbCDdg+1ZRiBLHa20MqI7VZgVhNLc+cSS1rYlUREqIJYhVidfvWjTR85Gghmkto946ttPCya2jLxjel6OGl/PhRmnnJXFr3ynPCBXKpnJ+ThbraxvMyvvz8M3Tj8jvE59PSKXLrprepdGyZdNLkhdOurDhDUyaOo01btsm5MN9Zv1bOfcpzbV6/bIWci9P2ydt5vzdefV5+shsni/PDYromdvblUXle+gghD7EKsYp5VpdDrIrrgprDlWGYwgtiFWJV3fkxdc0z8n6q7vd6B9ppup9YU+tArEKsek2EwQ04BTWSiZhVp2yy6VLeuhYKHL/wKu/YADVfKWJZhRETFhBIBwHEMaWDKtL0MgHErHq5dpC3dBHAtT5dZJGulwmkOmbVS2VFzKqXaiPDecmmWFVFZeMlNmBiIyY4Bme4AfSw06ED08MqHMUliFU0gp5IANf6nljrKHN3Fqu5WrsYWU1BzXlBrHIxzFFWOAanoHKRRCcC6MCgUfQ0AhCrPa3GUV4mgGs92kFPJACx6r1ah1hNsk6yHrMq8h9xCY44/PJKthUSTr/iRzr/sicT3IBhsISYVSo/dkTG4S5YfCUpp2FluMExPxx3u+Ku++iN116Q8bTDRozutI6Nsp54/GG6+94vyfhbXmbPX0QqdoqNtTjm94blK0g381Dbm5ubIm7HujkKx/aq2CO1b4Ew4lLn0mOJdOdKPQ09P25+14/VnUJPHD8SKYMZ36THQel51tMy4570uDKdibnfn57pMEUx3TmVIzTcgOEGjJhVxKyq7htiVhGzyvda26LfM8ztTs7YEKtJCqM0HA6xmiRUz4pVHmmV09IIsXrBDbfdh6lr4AYMgyWI1UVRAhtitUOU8+1AF/j8N4vnxUuW0KhRpVTb0Bpl9GO685rCWxf8nJYpvuP9baYHN2C4AduEGdyAfyaN/YpLOgS8+u4qsza9q+dFN2B/dTU1nz1D//vqH+mvrrulU890x4G9VCdmMVg8ehz5xewE+vL8wb00+aKBNK5f/07HPfL+JvqriwZRgZzCsGOpCbXR76srxLaw0SIvPpEHv5gl4bSYReHl/ADd2RievlBfzG28Px/Hy+mCfHph2BC6+9DRTsc1iSkTfza+lL6476DcxmVQx/HfDy1eSHdsfY/6NjR2Ova1SROoRKyfdyQ63eDRw3R46FB6c/Yl9JnnX+h0HK94ZNnNdNOb62lIZWWn7dsnlNGRAQNo2VNPRW+7ME2kNUGszAoBiNUksXtarF6Ym1WK1QuuwTzSinlWMXUN3IAxssqXPh4NhliFWDUFkCnYbSJZvXmgHHttI502UaDeZlC3XtvclmbavC/cgMPEuqtYDRw5HOmNPfbC03TH1TdSgZjjncWQEmeP7NhCd027mAoCwci+fNxjVafpL/oOoBIxXZ2+PH2mnBY0t9GokDbXn9jhdSHESsS6eQcPRe2/r08R7e5bTMuOn5Tr9Tx995or6auvrO3UY1w3fCiV1NXSpbs/iNp2rk8f+s3S6+jBRx4R+Q+LObX8YdkyKj10iC5+//2o9Y1iGr0f/u3f0le++91O59m4YAFVi6n0Pvnii522PbliBc0SaU3es6fTtu999av0pR/8gHqJafv05ZxI61crV8pt5nJSCEDO430PP5yybbHKxifhct+9ahX1OxctxHnbS9deS33F+gUbN3bKz6ExY+iNK66Qx9qWn91/P928Zg0NPRmuU315/+KL6bA4nrdHLRCrVpbZXJkRsbpk2YNUea7WWs7dr9sbWDahJHpur8SsOuWbTZfYfIlNmHhpL/EJx+AghYZHX9gTLTf275kEEMfUM+u9J5caMas9ufZzr+y6yOLc64JPL425H29To2v8e3FhHtXWt8hDAkePdAJhjo6pHXg9n9NcfLzeEG65Rzc9OQ717UvtfcW87nGWkBg9DrnYTyXTNro0XpKR7e0iD5x+okvbqNGJHiLLwOdLZmkVb7skuzBzZq8veA04WaqpPz7tYvXmld+gAf1L6NHvfyX1ufdIil4Xq5EbSHkb5W1oJf/Z8FPGEKa58UgLyq1sQKzmVn0ht8kTgFhNnmF3T0EXfjZxaApDU/zpr1MyK5sQtIlAm+DMRdZOoiqeOIslxuKJqLjbXQi9eILJJoZysX56Up4hVr1X22kXq9OuWEnf/uo9tOzaxd4rfYpylCtiVRU3b7MYZd2BaW5SVP09LhmI1R5X5T2+wBCrudUEdAHHcW36om8zBaP+tykC9XS8PkJoCjgnwWcTevromj6yahN2sUbHbCIOwi23vkc9NbcQq96r+R4rVtXEuKsf+ibNmDLOsWbWvLiBvvHdX3Tarl5fzomYVRlYHzZX4v+RmNWQeOWn3Uch8cNhraH2EAWDeeQTwfV+Ee/a0hJ+bThPxI2EQiHpLMzbGxvqqXfvQmpubqb8/Hz52buwkOpqa6hEvFLB2wPBoDgun86fr6OC/F4UzAsSxz3xmC4f29bWKvZrkPkpLOoTSae1pZnqhYkArwsEAjINPj8vIc6/yEebMAbwizK1tLSIsoiMawvvz3nNE/nyi/iV8PbwPpweDJZgsASDJRgs6fGPpgkSDJY6m0ylOmb1/ptuk9dkHk08dPgA7ak6S9f3HxKJTXyl6gyNamyiaa0huQ+/mvqjCWPpgTc2UK/W8H2pVtwrfnvZYvrCU78T28Ovl+6ZPJm2izi021avjtwVbLF+HOPGy+Wvvx7Zz+06W3p83vc/tpA+9dpr4XuVeJWySsT9/e+c2fTAhrflOiUMfz6ulG47epz6DB0eOfdLIoZyhLhPTrloQGTdUXEPe7e2ipZPmBpZx+Lw15vW000LPy5e0S2KpAuDpdw3WOLKtH3PVOU71TFv1x3ZI43lwi9mrLfabosxV9tMYzc9za5ui1U2Tt/J0Zm3ORli8Tbz+m2WH27AJpHc/DvtYpVfA756yRx68LOd3c2yhUyPoXUjVv/r4Sdp/ZofW7Ob02KVSyTEarsQqawiWbQGfUHyBf1S5EGsDqISYULAbKpFZ6iq8gwNGDhEOA6WyHW1QpxXnD1Fo0vHU1GfYjp96oT8u2xiuHNRVVkhBHy1+HsaNTU10P69HxBPeVJcXCJdQfPFlCRjxpWJ3/eLm1SjnLLkZPlR4pvI1Jmzaf9HYcOGCZOm0O4d22jAoCE0aPAQ2rxxPc2et0hOv8LCa9acBbR960YaPnK0yEeJ2HcrLbzsGtqy8U2R/gSZRvnxozTzkrm0DlPXYOoaYaqkCzIYLMFgyclgae6k6VIINokHg//78rN078y58nrCo46v1FXTqNpaKSh5qTtZTk+OGkEPvP5m5F65dsxo6iuug2w+o0Yq//Vf/oX+WfxXi01g2gxoTKMYm0GMSusv334nkv47ixZTTe9edNVH++Q6Fo1vDwy7pl7au0/HfnkBGUOn1vF+m04ek9vnDx0pY+xYhCpX1kuXLoscazOJchIDtk65zVDKqRPeXQ2WIjDFL04Cy2k9pq7B1DWYukb/BmXm9x//8ml5okzou7SLVR6ZjCX2MoO081kSGVnt1mJVTm9zQazyyKr44VFLX1CIVTH6yQtGViFWuR2wEK6sOENTJo6jTVu2EU8J8M76tXT51Uvlk12eOoDnKLV98nbe741Xn5efLJZYnB8+uF/OZcqj8rz0EUL+RPkxmj5rTmQeUuUeqp6Q7tq+VR7DC+87e97CyDyoap/D4mEAL6VCrPM5b1mxktQ2jKxCrHb3kdV54gHa8IGDiV9dZcHlE6OUC/ziQaQYfTwrHnLxtBR37zsgvyMsItW0EQP2fiTXbRg3Vn6qkUebk6cpKG3i0ebiyWL1nx59TKbP4m9P2QTaNWIoLT94JGIc88LokTRCOL6yEOZ9WEQ+XHmK7i4to/yLwkKzRsxV/IyYsuPTV98gjWnYJMUmGm0jUuboOafndp0tPYjVcB/LJrp5vdPolpPIhFjtmEc5TJaiXNvVOvWJkdXwnOa2BSOr0VSU9rGxuv8zN0WEJ4dw6kvZmBH0h1Xflqt4EHL/oePE+/Py8K+fJX27tSKSXJl2sWoW2MxvttyAExGr5mvAZp5zLWbVqc34atopb10LBY6Hn5TDNTjJb1c3PRwxq920YlEsRwKZjFlVI5AqRlK6s4rRTRVPqV6LVfsp0510xFHqDqV6DKJ6pVWPY1S/63GMajSSwSbiSoqm6A0CuNZ7ox6Qi8wS6M4xq260D799unj+DPr3r38uAp4FqhKraqXSd5nQcWkXq5ltYu7P5qbCbKn99Ze/RxWVNZ0qzf2Zvb9ny+EWqn+2nkLnwqI1OCZIRTcWkb9f9KTS3i8JcggCIAACWSAg5lAkni9QzRmo/uZpO9R6XseL+XcqsivmDpSL+uRwBv0/byu9MO2D2kffX1+XivwgDRAAARAAgawTiKd94m3nAnTLkdWs14xDBtxUiO1QdZz+JKG7jKya5dVdg3lb67wgtc4MUnuBV2sV+coEATxtzwRlnMMLBNi0JyBepS1qDM8T3ixenVXzUPJIp5peRI1upmIaETWaqUYypTvrhTkJpavrhddi9RFM3hdOq15oMd0rD7jWd6/6RGncEUj5yOrGjUSNje5Onsq9Fiwg6tUrKkU32odHVvv3K4k7KNetYlaZks1RN9vT2bipMFubUWXpFm7AsoAXYlbFb+yia3UD9gk34LY2uTcbMDW0N8ANGAZLiFl9/GG6+94vRcW6qRgsNtbauikcR6M7GartzSLeTsXS6jFweuyR2rdAGHE9ceFcuhOjHienp6HH3rn5vacYLBUH82nm8FEyjvORHVvor/oOoMJjx+ioMJPbGGqhT78VNuVh8x2fMDy74sUX5d+/WrlSxm6OuTASqhv9mLGcJ4UDLMdy3vP8C/LYAzNn0Ybx4+i20xUy7nLvRf1od68CuqH/YPla7IFzlfShaCufXHiF/NuMfTSdN22OmmZ835+eWS2/m8NGjJZ5MGMxbW6eTgZLs4UZFy+pdgO+9wv/GLm92uI9bbGPZjltBkaIWb0yqttii/3c++FOGet/o7ZuVAAAIABJREFU+VXXRe1ri+0rDDTRo4+tohV33Rfd4X1/izT4W7A4+nyIWe3AFMtt14kT3IBXCAPLvp263jnvBnzJJUTvv2+TFOldt20bkXBH15euxqzq8azpzbQ99bS/BszKm4NvddddBSubhXcSqzy8zYt6N5ufMOhOwLx9QP8SevT7X5H75bwbsBuxylPXtIlXgtvE1DXiR4pVv5i6hpqEo20Bpq6BGzAMlsS1gDv2EKsdnVhTFOmCSO98mPvpYssUH3qHmrft37aJrh86Sl6L1+x6jz5WW0+l4rXaM40N9OKAi+izL70spz55deoU6ivWL+An3GLRBech8corT1ty96pV4Wu6Nq0Jj3I+fvvtdFn5CSqtEq64wnH7R8Jg7J7GVgqK3xuKi+lXRw9Il1we3TwrHuqte/dNaejFi+noapYn3t8QqzMiPReI1TAKuAHfL/sd+gI3YLgBe9pgSdxD6OTJzGu8J54gEg9Q9aUrA3VKx2VzkDHtYpXF3q03fryTtTEX/qk/rnOcEiadtapPXcPn6d+vOJIPU6yqd7NVfi6dPSUiVHuUWL0wz2qeP48amuqpUPw0sVgNCLHa3kS9i4owzyqmroEb8OPh+f4wsnqlmMbpdGT02OxkxxKrz61eRZdeNJBGiodjB8+cpD1i9HHZmQrpWrtqyiS6ScxlOfTgAdo7bFjUnJr6CKga4bzv4YflpZtdaUvEa1jzDxyUovIHH7+MPnfwKAVHjJQjq+8UF9LyUePl6Oe7Ys5PfqX2kiXhUSMWz4uXLKFR4rjahtaoaTXMkRCzzBCra6WL+IyLw1Pe8KLcvdXfGFm1u+hi6prOohRT13QezebvEdyA4QbsVjN1Raxy2k5azu15k90v7WKV3aJsatx8nTbZgmTz+O4asxqLaWB7K+VtaRWvy4X3Co0NUPMiEc9a4stmVeDcGSCAOKYMQO5mp1Cxn9LVVohOGe8pRjz59w6328MiBlQYECWw8KuzKraTf2dHWhXTqdxneXuyTrSZdANOoPjYFQTSSgDX+rTiReIeJZDymFUPlTOeWGVt9tjqF6LiVb2g19IuVr04sprqdtMTxSozZKEa3NFKAfFfida2WUFqmQsTplS3MS+lhw6Ml2oj+3lhwclxoCw65e/HjkREKK9P1HTISYDyeh75zIaZEMRq9tsZcpB5ArjWZ545zph9Aj1BrNooq9BM841S3jcT09PEqvm0i1Wvxqym8uvQU8WqYshCNe8tIVr3tMpV7BbcJlyD4RycylbmnbTQgfFOXaQ7J3m7doTn+NRGQ4M7L6wTQtTtSCjHfraJEU7lYCsFqYj5ZPHJv/P68PbO5hrpLqOb9CFW3VDCPt2NAK713a1GUR43BLqzWHVTfi/uk3axyoX2ohtwqiqjxxgsXYhZZbfgxoZ6RzfgvsF+1NBaL42Y8nz5dN5XR/nCOjuYF5SOksJEVx7b1tYq0mmg9vZ2KizqQ/n5+dKoqbWlmerrz8t1gUCA8vLyxf88WV0hsW+7yEdbqI38Pj+1tLSQX8Sb6Qvvz67GeSI9vz9wYXt4H06vScSthdpD1CDOwW59AwYOpgKRv969i1hmU5NwAa0+VyU/+/cfRCU8N6HIdLXosFdVnhH7DxFudSVyXW1tjYjLO0WjYbAEgyXRenLNYIlHQhcU9qHtRw5SXVUlXSVMhD6or6Ojwq122ZOr6chFF0WMh86J7wHHhH7pBz+Q3yXdoGj1X/01Tauqpgni+7tp8mSqLuxNS4aMoFODBtKrxw7TXyy/XYrQdBgs7duzi65ZulzmSTdmMmNHTTdJPfbNjA003XMRswo3YOWKzO1Md89W9x5b3K2TG6zNDMjmDouYVcSs6n0bW7tT2xGzipjVVGkar6aTEbHq1cKnIl8Qq2GR2buwsMNgqV6I1VCQ8tvyqU785AvRmleQLw2ZIFYnUnFxiZyiIl9MSTJmXJn4fb8Q8o00YfJ0Oll+VIroqTNn0/6PPpBNdMKkKbR7xzYaMGgIDRo8hDZvXE+z5y2SUweUi1cuZ81ZQNu3bqThYqSKzUx279hKCy+7hrZsfFOkP0GmUX78KM28ZC6te+U5MWXBUuJOPgt1tY2nunj5+WfoxuV3iM+n5bQGPPVK6dgyeR5eOO3KijM0RbihbtqyDVPXeHzqmnlDR9J7m9+So58Lz1bSuw114lXdc3TZe9vk9Cy88JQsG8VcbNVCjH5STNXyvrC5PyzccW9es4bYJfd1YUx0+84P6NzgQfS/M6fTX+cVyZHQnx/eR3d84iYKji+LMvfQO1RdNVhKxA0YYlVMrfPID+n2uzo69pi6puMBhpO4NB9I8H5u10Gs2gU7M8TUNR29SkxdE93DjjUtD+/p5OjM23J+6ppUiI0engbEapINAGLVIlbFyGsgGB5ZrRcjNfnt+cQ/jb5Gag/6qHcfjKxCrL4lxfnhg/tp2PCR8kEHL32EkOc5AKfPmhNxklXuoWrakl3bt8pjeOF9Z89bKF2IeS5Atc9h8TCAl1Ih1tV8pmobC3w1R6BKW90MWdyrtFTHi+erNNeNGTcxMvep3snN5NQ1R3Ztp33vb6br+w+hneLhQ935Orp6y1YpRPnVXRai+jQs5u/t4o0Cnupl88QJdE6Mgi4pGUC7LupLx0OtdNnSW+h4XcdcsWbHSxdI+lN9iNVoB2S4AcMN2JyjFCOrHZ0uJ4Hi5PoLN2C4AZtddqc3ENR+tvmD1TanOYfxGnCSwigNh6dNrLILMAfr8hyrsZZsB+2mgmlPj1mNx9Bf3kbBzW0UOC7mahULOwa3zA1Q2+RgvEOx3YMEEMeUuUpRMaMcJ8rGRSpelNfHW5RREceFtkyfKZ1yVXwo/43FPQHErLpnhT27DwFc67tPXaIk7glArLpnlak90yZWM1UAL5wHYtVdLTiJ1tBYuAe7I+iNvdCBSW09sPCUBkYXnHSlMHXhostxoC3TZ0mTIojR1NaJmRrEanr5InVvEsC13pv1glyllwDEanr5diX1tItVp3lW2SX4qT+uo/VrftyVfHvqGIjVxKqjk2iFe3BiALO8NzowiVeAbYTUjSBlEcpOua0zZkr3XDmXqJxP1LvOuYnT8f4REKveryPkMPUEcK1PPVOk6H0CEKveq6OsiVUvTDKbiupAzGqMmFXhzHtexNEV5Du4AQsjpvY2YdzTXkgFvgJpwNQSbKX6FrgBw2Ap92JW506aTk88uYr+oqgv1f95H72T56c7X3qF1o4cTn3PnaMFGzfSD//2b+nuVauoUcSL/mHZMrrv4YfpreW3ULVw3r08vzc9M2wITRoznsaUjqNfv/cOXb9sBRUII64nLpg56aZFugOpHiuqx9C6+V0/Vo/h0WOBELO6hEaJBwS1Da1RhkamaYhpKoWYVcSsImaVIl4CytRP9b0Qszojqhsay4QIbsAlNOPiuZ267YhZTYWS8X4aWROrX/vOz2nDpp05P7IKsZqEWFVT1/QqooJmTkeIVfFTL34K84soUCBMmsQUNJi6Bm7A937hHyMdnmwbLI0o6E1lYnqkx4Xr8oMnz9DG+loKnD5FVwg3XSVGeaoXNjRiYfqScNTtI6Zrmnv6LD105RX0F6Jt108ok9O6LF95f9RUGLpZkerIQax2uLvqZhnmdCGYuka8oiIWuAHDDVh1PW2GRE6mMjYjmsJAEz362CppXqcvTsIJbsAdlOAGHC2A4AbsfUHo5RymRaza5lW1Qfj2V++hZdcu9jKfuHmDWE2BWL0wz2pLgxCrDUKstp2nIvET8AUo2EuI1ZJ8IjFVKuZZxdQ1l1+9lDIlVtf/329phHgroPR4Of2+vpoeeHMDvTBiKI3Zu5cm79kjhelXvvvdiOPukm3b6Ef3P0C3791HFWK6obcvKqGbL72M1p87K6f94afCSoDygxnlUqx3/CBWo8WWKUghVpsio+xOggRiFWIVYjVMwPwuKC5OU6HY5stVxyjneLNT6JQWxCrEalwBgR1cE0iLWNXP7hSz6jqHObAjYlZTW0m2mFY2YWqdFaDQAKFasWSVQHeLY+J5SPPENDC64y7/zettizI2UnGk/MlGR7weS/ckgJjV7lmvKFVsAt3tWo/6BgE3BBCz6oZSZvdJu1jNbHGyczaI1fRwN0Urn6VthJ9a5wnROjyQnpMi1bgEcrkDo5x3C95eL8UpRGnc6sYOggDEKppBTySQy9f6nlhfKHNqCECspoZjKlOBWE0BTYjVFECMkYSvpp3ydraRf08r+ZrCO0K0ppd5rNRzoQOjj5ayMOVpYZzmJsVIafbaUq6cGWI1V2oK+UwlgVy41qeyvEgLBJgAxKr32kHaxerODw/Qige+5Vjy3a+v8h6VBHKEmNXUxaw2NzdTa0sz1dfb3YDb29qpvb6NQg1CuIb80ozJ5/NRey9RYQXi9WDxL084EIeE+Q0bM/n9AfGfXxsOvzocCASoqbFRxL6GqEGcg2NK2J2wQDiz9u5dJPZop6amRqo+VyU/+/cfRCXCKEespurqc1RVeUbsP4SKS0rkutraGqo4e4pGl44XMYnFdPrUCfl32cSp8nxVlRVUV1st/p4m0mug/Xs/oDHjJlJxcQlxbEy+cHkdM65M/L6fmsX5JkyeTifLj8p8wQ3YvRvwpX370x+2vE331NTTb9ua6KY/rKF9I0fKOpgkYkuV6+7P7r+frt+1mw5NmEhVI0bQwnkL6SfbNhKbN6m4ozHjJtBza1ZLQxFlFjJsxOhO67gelUOv7rirYlK53rdueptuWL4ikjZiVn8m3Y2LS/pGMTEddPU4M8Ssno7ENnN7tpmUmCY6iFlFzKrqwsBgaTXNmb+Q+BquL4hZFf0X0c9Q9zqzy2tek/XtXd0Gg6UEhAV27UQg7WJ1ybIHafH8GXTp7Kn0Xw8/GXH/vXnlN+jqJXPowc/ektPVArGaObGqDJZCrUKstviotV6I1dCFGFbxwaI1r7CAQj6I1YWXXUNbNr4pxPAE+f0qP36UZl4yl9a98hxdftVS2rdnlxTqahvf0F9+/hm6cfkd4vNpsc91UmyVji2j83U1cj82CaqsOENTJo6jTVu2yU7AO+vXEpsesTEQCxG++dk+eTvvx6ZC/MkCj8X54YP7adjwkULUh8/RRwj5E+XHaPosu1i9akwZ7fzoAyo9dpQCx47RMV87XfHyy/SrlSvpSz/4AbEgvXnNGtpz8cXUNngIjSu5iF4YOohumzGHnjh6QJ67/NgRWaYFi68kZZoBsRrmgalrSLZNXmbPXyQ/WfwtXoKpa9TDGXXDNp1fbZ1fmygwjWpspjY2V1lTeNnOZ0vL5lxr1jGXye06W3q28zqJAdt0LbbyOk3JYTveyZ0XYhVi1dYGuL1DrFLU/U4XIhhZ9Z4sS7tYVQZL40uH09987b8jYpUdg3Xx6j007nIEsZp5sdoWEmLVJ0ZWW1rECKtQqQ3t5GsN11eeL49Cee0ULBYjq72DGFnNYbH65gtr6PYBw+jHBz6kr76yllZdPINu/v3v6d0FC6j00CFZ34fHjKElW7fS43d8mj7bHqBf9yumj8+cTX+WI+pEpaL8ynVXOclCrC6K6phjntUjkVFwm2iBWLWP6EKsXhnpJECshlFg6pqOfiPcgKP70BhZdacpsJedQMbEKk9Rw8JVvfarprfJ9deAGStiVrP/9ZJmTAfbo+Ja2wcKQTvJT6HJQWoPT0GIJQUE0hHHpGJM899aT/zfyfiobXSpcN5l992Z1LxoCbWOKiVehwUE0kkAMavppIu0vUogHdd6r5YV+QIBRQAjq95rC2kXq/y679SJpfTvX/8c6b9/7Ts/pw2bdkZGWr2Hxn2OIFbds0r3nmzAFNzRSgHxX5kxsVBlwdo6GVPfpIJ/KjowBW+9Kd14Y5kfKeMjFqVhcXoZpodJRQUijYQJQKwmjAwHdAMCqbjWdwMMKEIPIwCx6r0KT7tYNYvMo6tqWf3QN2nGlHHeo5JgjiBWEwSWod2dpr5pmxmktrH+DOWi+50m0Q6McuJV08WwUDUX3ZG3aWFYnGLEtPu1nVwtEcRqrtYc8p0MgUSv9cmcC8eCgFcIQKx6pSY68pFxseo9BMnlCDGrWY5ZvRCbqGrR5gbMI6y+BuEGfN5HTaEmComfevFT015DAwYIN+DecANOpcHSsqkX0x/efZPueH8HrR4/lu7+xS/oyRUrpPERO/Py57qbbqKp7X7aO24cDR07nqrZYVks8QyW2CBp1/at0pSJFzZjmi1cfZWroYpLPSzclnlBzGqHWZBuIKP/jphVxKyapj2m2ZAt3gwxq4hZZVM2fUHMagcNxKxG960Rs5qc1ujpR6ddrCqDJY5Z7Y4LxKr3xWpk6hpfgJqrGqi9sY3qm4VYFT+DxA9PIdN7UBG19yZMXdMFN+BrxHQ+z3+0iz69/i16YuZ0uvvRR6U7792rVsnPzwhTpKduvY2uyetFL17Ul6648jra8uH2LrkBQ6x2TGWim7rogtNJlEKslhBPH8SL7pBpuq7CDbizMy7EatgZmhe4AdsZMBuIVYhVZWho9vchVrujAspcmSBWk2QNsZpDYlWfZ7WmjmrrhVj1D6ICEdRaKH5IvBnc0KeJzrWeo6ZWzLNqm7qm6sRxEuG/9N7OXbRkx05aO3K4HCnlkVMlTu98+RX69c030y1DR9L/NdTS9bfeJae2ScXUNRCrEKvcBnjaJdOBVZ9f1JwL0JxCBWL1ebplxcrI3Q8jq5i6Rr2VoqY048ZRGGiiRx9bJeed1henqXIgViFWIVaTFBU43Eog7WK1u8ynGqv9IGY1d79d/Iqwf48wZDoUosDxUKQgbSP81DYGTsLKpbfXC38KGyJZ4k2l+dHiywixprn7PUDOYxNAzCpaSE8kgJjVnljrKDNiVr3XBtIuVnd+eCBqflXvIUg+RxCryTP0QgrW6W+Uk/BYH4WGB7yQzbTmwY04pSuuoPOTp1PjdTcII6RZcOhNa40gcS8QgFj1Qi0gD5kmALGaaeI4nxcIQKx6oRai85B2saq7/9qKj3lWvdcoenqOnEZb20t81DYpQK3CTbg7zdvKo6VqflPbyGmTmDKmdcbMiDgdOm4o5hbu6V+SHlZ+iNUeVuEoriQAsYqG0BMJQKx6r9bTLla9V+TU5ggxqzkas1p/ntitj+NzCnrFcAMu7Ef+mnaqrqiiylAFDfINomLx017oo5pgLZ1tOE2jx4ynoj7FdPrUCao4e4rKJk6VjayqsoLqaqvF39OEcVMD7d/7AY0ZN5GKi0tkvB0bO40ZVyZ+30/NTY3ScOhk+VGZr6kzZ9P+jz6Q6UyYNIV279hGAwYNoUGDh9DmjeuFA+4iOl9XQ+XHjtCsOQto+9aNNHzkaJGPErHvVlp42TW0ZeObIv0JMo3y40dp5iVzad0rz9FVE6bS3t07aNif91Pg9Ck6PHQoXf766zLudOVjj9ETK/+Krm1oog2jR1GpyFNta7NMg9OurDhDUyaOo01bthE7CL+zfq2MReWY1OuXrZCuvLZPxKyGzX1UbGBzcxOp2B49/os5cTvgelP7Foh28sTjD9Pd935JtC/ErCJmNdwW1KLH3/I6PXaX/zYNo8x4Xt4HMauIWUXMKnWKg9d7i4/85D/o3i/8Y6cOpBkPr3aAG3A0KhgspVZ79LTU0i5WndyAf/zLp+mpP66j9Wt+nNPMIVa7uVjt14+onai6+hxVnT1Dg/IHUUlTMVEbUa34OSN+SnuPpcKRJXS69iSdrfSeWPVVV9PJA3tp/qEj9Pyg/nTz00/T9osvpqEnT8rv3sFp02lBII/WDOxPNy29hV5882W6/KrryGawBLH6gpw2hx86KAGpiwHV6eeHFMzvhuUrSO/MQKyuoOKSvlFMTPGkiy3TREnvUMNgKXzrhFjtMP8x2wTzsZkBmQLeJuqd1sENGG7AeqcVYrWDhu1BmNoKsZrTUifrmc+aWF3z4gb6xnd/Qbn+GjDEag8Sq5VnxEjsECouKiFfdTvVnaums01naIxvDPURPyd9p+is7wyVlU6h9iJfVkdWLx80jDaJ6WQm7d0nR08PjRlDH3v7bXrmllvoxrfeovcvXUADBg+l1lGldFyM0KZynlWMrK6QI+oQqx2jwObond7Bg1jdRdcsXS47A6bYMtnYOnwQqxCrTu68ZtvgNrb3w51yfmp+IKkvGFnFyKpqD7FEZ1e3QaxmXe/ldAayJla/9p2f04ZNO3N+ZJVrHwZLOf0dSCrzHN8a3NFKvvJoN2GOaQ2JOV5aM2TMFDhyWDr1smtvvvhkoyR94bhTNkRi1152701mQRxTMvRwbC4SQMxqLtYa8pwsAVzrkyWI43ORAGJWvVdraRGratQ0XnG//dV7aNm1i+Pt5ont7Gq84oFv0eqHvkkzpoyLyhPEqieqKOuZYDfhwPF2CnzURj4R56oWZczUNiK1jsIRcbrhTcrbtSOq/Go6GRaoLFRTuaADk0qaSCsXCECs5kItIY+pJoBrfaqJIr1cIACx6r1aSotY1YvpFLPqPRTOOVqy7EGqPFcrd4BYzaWay15ebdPgcG6SEa48Wsqjpjx6ykKVR1PVEurbl5ovjJ6yOG0bXZq2wqMDkza0SNijBCBWPVoxyFZaCeBan1a8SNyjBCBWvVcxaRer3ity13LkNLKKmNUeGLNaUiJNl2pra6T77+jS2G7AE4ZPoeaKBtp3dg+NFz/sJnyg/QDlBwtozIgyOlj/Z2pqb7K6AfuES/AU4cy76+Rx6d47/PhxWnvVVdK999yo0XSwrIwumTSVtoi4U7duwJdftZT27dklnZB5YadgxKyulW7H7MLLjsYr7rqP3ngtbKY0bMToTutgsPRDuv2u+4WjdYF0glYOxnrsnBnbpDvOImbVHqOKmNXw/Vl99yZOmRG5YZvxlza3VRgsXRnVwUHM6mp5b+NruL44mSLZ2o86Dm7AYRKIWe2ahsBRyRGAWHXJD2I1JPRZOwWDedTYUE+9exdSc3Mz5edDrMYTq/rUNWOHllHfpr508PQ+KhCBrWPFz0Hx0ySCXycNm0rH2o9TXc1puri+kfadKiff+TqasWMHbZ4/X7r3Du5VSG9MnkRzyyZRTZ8+XZq6BmL1iJz2Z8HiK0l1QFTnBWK1w3zlxPEjEZMoUxjonWCI1Y6pZMyOnM6QbzVmZzje3zBYglhlR3F9MacZ4m0wWPqZnDKNncb1xZzGSW2DWBUP28UUeerBrNkN7qoghRuwS0GB3RImkBGxqr9Ga+YwV9yAY4nV2fMWJgzePOCdt9fTn/fvE3N1hqcTMRefz0ft7eE4SP5dX8Kr2zutV8f4/H6xWUhNsV97e4j84m+VBn+GQiGZHH8G8/LI7wtvb2ltIT5TnljH2/j4vLwg1dfXU2FhETWJuSIL8gvkZ5H4u0Zc/Pr1u0huDwaDUsjW1dXKeUzzhMhtahJuRCKfvQsLqbW1lRoaGmS+ior6yBEadotraWmm8+fPi1GuPhQMBCkvP0+cM1/mj8vP+Qi1iZhQUQbe1yfyqi98Tt6HPwP+gNxP4fIHAtTU2CCOb6fz9XVUI16rHSzmLeX8cXl4aRTbq6oqxX5NNHDQIFkeXs5VVdFZMXUN718iXrnlhY8/LZx2x44Xo6Vi7tST5eXy78lTpwpuPvEE8ixV15yjqVNnUINId88Hu6lswkTq27cf7d/3EeVTAY3vNZ7+fGwfNTdW0vQDJ+l4XhVVFxXQvE2baOdMYYQkOE4T5d0sRlAHjxxFQ8ZPoA3r36CPLVxMNWJk95h4FXjepR+jze++QyPFq78lIh/vvbeZrrr6Wnpr/es0XpyPl2NHjtCcefPphef+SJ8UcawfiHlWec5WtW3BosX07DO/p9tuv5PWPPM7uc/GtzbQ+LIJ8jy8cNpnzpymsvFjxTneJz7mjbWv0ifEvs+u+T+69bY76aknf2P95O2838viFWb+3Cja+9RpM0Wb30sjxQgxtx15DtHZOHb0CF0yZ57c9867P0vf/8/v0Jf/4ev0m1/9Uh67betmeYzMu9j3YwuXyPPe87nPR/bhdHkZXzYxko46nplxma74+NWRtF9f96osX9mESZG0XhLn5/OMEo7JKn21juvxFz/7H/r8F79M/N3lhfPxi5//VJaf6535fWrFp0mlPXvu/Mj2RjFirsr33pZNkfwwJ+Yi07+QVkGvgsi5uH2p4/bv2yvr8aZlf0l6Gnp+3PyuH7tbxD4zU67/o0cPR8rAbV0x4LL+9Effp3vu+xviOWD1POtp6XnlY1R5+PujMzH3+93q38q2xdz1MnIaqg75e2hu048z09TPZ+ZfLydv05nx35zukssuE29QlFJzSyiq7E2iHlU74H3N85ppm3mO97eZnnk+sywqv4qfrTxmmmbd2I6xnVd9F6ZdMGwz2winY3Lnder7LL80YjEZ8DozbVs5beezpaW3SXVOs45tZXZaZ0vPdl5b/mysncprth2Vd/17pNbZ8mRjxuv077g6nj/175Za39Z8nh5btUpeW/XF6Xy2enNK24mFU75jrbcx4f31a4Kef1u7dGqL6jiz3ar1Tmk51b9TffN62/csXh3zdv0aHFVR4g/9Wq1vi5U/2zVCHdvVbbHKFqst8DYnxrzN6Xui8mtr12qb03ehuDDPxIi/s0wg7WL15pXfoAH9S+jR738ly0VN7vSxDJZq61uSSxxH90gCASE6837za+JP/2Et/rTfaGoZu4haJi+llotvIP/ogFBdAfKXBYkKoh9UZAMcX8jR5rNBHufMFoH8vPBDMRarWECgpxDAtb6n1DTKqROAWPVee0i7WO0OBktcbXAD9l7jzcUcsTFSbzFSYxoksSESGyM1iJG4lslLKHBAjB4b0+FwedtG+KltjPg/VnSeS6JHlTPFA6YbmSKN83iFAAyWvFITyEcmCeBan0naOJdXCMBgySs10ZEPiFWXdQKx6hIUdutEIJadKJqCAAAgAElEQVRAbVx6I9WvuNNx7lOex9W/p5UCh8Tr22dDxH+rhZ2FQ2MDci7X9gEB4rldM7GgA5MJyjiHlwhArHqpNpCXTBHAtT5TpHEeLxGAWPVSbYTzknaxyq8BX71kDj342Vu8V3qXOTJjbvv3K6b1a34sj4YbMAyWbAZLgRPldO7IIaoNtdHMrVupXsTp7poxgyYdPUZFw4bR3qHDKE/Ero4ZVyZMV/aLeN1Gqxswt7EJk6bQ7h3baGD/ITQ4fzBt+nADzffPp7rWOmHIdIzm+OfQVvEzvGgkFQ3qSztPb6OFV1xDWza+Kd1teWHH35mXzKV1rzxHMFiCwdJ7m96S7WL2/EVR5ix7P4TBks6GGbFJy+IlS2QMbW1DK+nmUhxn/8TjMFhiTjbDFpuRjemqanNghRswkWnOpborMFgKu5Dri42J+u7CDbjDuV1nBoMlIv1+p7OBWHUpjjK4W9rF6poXN9B/PfxkRNxlsGwZORXEKsSqEqtnjhykijOnaPpHH5G/pobODB5M5/r1o+mHDlHdpMn0YXExlU6YLM2YuIOWL8xpEhGrAwYNkaZImzeup9nzFtH5k9V0olxMO9N7Lr1XIUyHfCOpj/jZ3r6dLi/6OL0TeofGjCmj9kIflZ+EWH169Sq6/Oql0kEZbsAQq2rqHVMUQKwSmQxMUS4f1F6Y2klNLwOxuouuWRqekshJvPN6m7CyiXOI1c6i1DYVjxNTiNVwO3RiBrEKsZoRkZSik6RdrHLMaqwlV9yAncoAsdqzxWrl6RM0xh+k/tu304le+XRy6FCavmsXCYtjOlU6hs71709l0y8RLn8NtH/vB0KcTkydWBXTr7DwmjVnAW3fspFG9BpJJU3FtKNiG13hu0KK1XG+ccJRWLjm+o/TzLK59Nq+F6RgwzyrmLqGr2kYWS3oNIIFsQqxqu73Zlvg9bZpYmyjw05iAGK1ozflNCLqJLAgVsP3LXPRpw8zt0Gshh9Sq3nldT4YWU2RksxAMmkXqxkoQ9ZPUV4hpmDB0mMI+MU0Hr2efzZilKQKrpsksVlSNhd/eRsFjovpjCwmTRzb2iZiXUPDOeY1mHCsK+KYslmzOHc2CCBmNRvUcc5sE8C1Pts1gPNngwBeA84G9djnhFhNQZ1ArKYAYg4koYySCp/4dVRu62//DDWKeSnZLMmLizRpOthK/vJ2ChwULsOaSRPnt32gn0LsMjxcfIr/8Yya0IHxYi0jT+kkALGaTrpI26sEcK33as0gX+kkALGaTrpdSzsjYpVNlvYfOi5z+O2v3kPLrl1M/HrwpbOn5Pz8q1wmiNWuNb5cOCpw5DD1+flPxUjqH4l/V4uaZqZx6U0U6ts3F4oSyaO/Qoy4HhMjrxaHYd6Jp8chIWCdXIbRgcmp6kZmU0AAYjUFEJFEzhHAtT7nqgwZTgEBiNUUQExxEmkXqyxUB/QvkaKUXXX/v/tvk2L1x798mp7647qcN15CzGo3jFmtrKDm8+dpUFUVDTx0UH7lKkXs6WkRjzqwoDcVjRxN7SImtba2hirOniKbGzAfUyXSqautprKJ09Ifs7p1Iw0X+SrqUyKcg7fSwsvcuwGfOHiE5g1cQC9+9Cz9hfj5U+hPdLXvatokfsaKn5o+dUS9fVQ0tIQqGito8pRxtGnLNmKXxXfWr5XxIBwzc/2yFfTcmtXWT97O+73x6vPyk2PBJkyeTocP7qdhw0cKTjWScx9hPnWi/BhNnzVH7nvLipWk3EOVQdKu7VvlMbzwvrPnLZTnXXHXfaT2OSwMrHgpFW7IKh0YLHWYKsENuMMhEwZLnU1/YLAU7mkhZrWJHn1slby26ostbpe324yieL269ppxg4hZnRHF1WZkpnZwYs7bEbP6Nt2wfIVVHjm1Pd4ZMaspVpRpTC7tYpVHUFc/9E2aITq4ulhll+BvfPcXBIOljpsid9zPCjdZ2+Lzibk029vlJv5dX5zWq2N8PjFSRu3yeP7v9/u1NDjdkEwuFApRMJhHPr+P/OIcLS2tcn1eXp7cJo6W2xsb6ql370Jqbm6m/PzuI1b9Z09Ty7GjdK6tlRpFuQafPk0X1dVR28hRVDFsOFW0Nosg/SFUXFLCOLuNWOVpbVh4viwE5U033EEvvfB7umrEJ2nzEWHQ1DyW6sQPL+w0XCF+Rg0cRbsaPqA50xfSW/vW0eXXQKwyHzYrUp0vfkixdVP4BqpP36G2Nzc3RUS03gnROx1q3wLhGq2mR6kQbVSJb93URU9D72C7+V0/FlPXdBYomLqGxNRa0VP0cHuHG3CH0Q0MlsI9EojVjp5ZLLddJ04QqytE/6rzm2q2KbAUaSfXbLUdYjWNCjKDSaddrLJA/Z9//7tOYhUjq9G1zJ1KiNVmam1ppvr681RY1IcCgYAQyvlSLEsxzWJbiOY2MXepXwjwlpYWIbyjhTvvz8I6T4hNvz9wYXt4H06vqbFRpBOiBnEOvpkMFHOd9qqvp757PyKfGE1t6N2bKgYMoMY+fai/EOTFo8dSuzh/dfU5MVJ6ptuL1RuX3yFE69NiLtbrpNgaM6qM6s5Wi6l42qm4uZgqq8/QcPGzR/zMFz/r29fTVf0/Qc/V/ZFumncrPbvjd3S9EGjmCCtGVktoxsVzI2IWYnWtfAuAmegCnL+nLA7V3IimCNA7HuY2/TgzTbOzoztkYmQVI6vc7myjqBhZxciq6qmZ8wOr9U5CCmI1uo8bS4jznk6j7LwNYjWDqtCjp0q7WP3ad35OGzbtlK/7qpHV8aXDacUD36KbPrGQ/v3rn/MoGvfZQsyqe1Ze2dNmlqTcfGv/4evEv2PpTIDNmQa2BKl6eyPR2RD5xf9Ohk0lvrBZ0wAxaj9SuA6LTywgkMsEELOay7WHvHeVAGJWu0oOx+UyAcSseq/20i5WucjqlV+9+Pd/5iZ68LO3eI9IF3IEsdoFaFk4RE05U/yf37GaJbGrL5b4BPQODAtVX4VwGD4jnIYdDJvYXTgkDJvahYBtGyEE7IBAXMfh+LnAHiCQOQIQq5ljjTN5hwDEqnfqAjnJHAGI1cyxdnumjIhVt5nJ1f0gVr1dc+ziywKV50ZlwcoLRlG7XmfxOjDKbZg/A2KeV594hdhc2jH62vUKwJEZJwCxmnHkOKEHCMS71nsgi8gCCKScAMRqypEmnWDaxepff/l79O57H3YyUuouU9fADdi7Bkt5Z85Q8OQJClRVyi+Kv62N6ocModaBg+h8YaGMWWV3woJevYRhVJHYo1249jZS9bkq+dm//yAq6ddPmin11JjV0rFldL4u7NTLMYaVFWdoysTE3IBvWLpCuhVeNfwT9NqBl6TT8ObmTTRZ/BwUPxwDWxuspfZCHxWLaYCOtR6jabOFG/DGF+EGLByWYbC0i65Zuly2QcSsdjY60uNvmZEeu8t/m3GXZjwv72PGi8ENONy3QswqYlZVLxsxq2EStuuHYhRrG2JWk9ZrPTqBtItVjlO99caPd3rlFwZL0e0OBkth0Zu0wRIP4tXVUq/jxygojJP8wmxJOCtRaNBgCo0roybhhKwbLEGsinmCNTdg02ApFWKVp7TpZLC04S2aVDKFDpf/mUY2C7HaEBbExeKnXPzM8s2iV8XPbePupJ/s/2+6//q/p99tfFw6D2PqmvCUPnAD3kf79nQIWRgsifftIVaj2gTzsE354dZMCWIVYhViNbqvCrHaozVj1gqfdrHKI6jf/uo9cm5VfcHUNRCrjQ0Ncioddv5VU+B0WayyM3BlJfU6e4ZCQpDmC+HrFy6+7aPHSKHaHgxa3YAhVrMkVs15Vs/VkK+2nUpai+nE2WM0q2kmvdb0Kt3uv51+FPoRfdH/RXoi9ARdVXwNbfdtp6FDxTyrYu7X4+fFPKsLF2Ge1fe3yBHwBYuvjBoNwtQ1K+WFFm7A4amVnEZGMLIKN2DbFB+FAYhViFWI1awpNJw4QiDtYrW7j6wyScSsZu8b1ev5P1LRz35K7O6rlsalN9L5+z5PTYsuy17GuvGZMxbHVBOSMa+BCgHTwXmYMbOBU/sIYdpULFyIB4h4ZGHkRCU8tzAWEEgNAcSspoYjUsktAhm71ucWFuS2mxNAzKr3KjjtYpVf933418/S6oe+Keda5WXnhwfk1DXdxREYYjXzDbvwiV9L0yQ2T+IFhkmZq4OsdmASELDsQEziPwvY9kFCzPYRTsThNyWxgEBCBCBWE8KFnbsJgaxe67sJQxQj9whArHqvztIuVrnItqlrbK8Gew+PuxxBrLrjlOxeLEwLV/9G/tdFKs+LyqOomBs1WcLujvdcB0YTsPwqsY/nfrU4EHPpdBdiHn1lIYtRWHf13pP3gljtybXfc8vuuWt9z60KlDyDBCBWMwjb5akyIlZd5iUnd4MbcAbcgIVJUuBEuZjP86yMR20Thkm+/AJqGiCURklJVLvJy8unkNg/Lz+f/P6A+O8T2/k/+ywFqKmxEQZLVy2VJiQcr8tLVgyWzJjV2v+/vXOBkqo68/3X3XQ30A8ILwURGBQUA6j4ABHEGIyGJAJmojATAxMfkEkc18rcpTPDvclK1jU35t54l+PMRKNRNImimYtoouNbDKigoiIoKoSIAeQtj6abhqb77m9X7+pTp091VXWdOn26+3d69equc/br/PauU+df+3z/nTBYqqyqlk+3b5WxZxo34OcTRkLOhdHFVGVlsLRxo42BHVExUpZveEbm9vwbWbL/IZlePF22Nm2VGvMztWiqjYe9sdc/yIqiFVJh6h4xbJQ88d6jMvdvF8rylf8lg4cMlcEnDUvGxL78QmLfiJGj5eEH75J519+UEiPqYv9qDh2QNa+/Kl+dPSclXtIdP3q0Pnl+XgMYNaIadfpYU/6opEMrbsC4Aev7QLcgR03cgBckPwO8pmNuJwZLC6WsvOWRko82rLPX2Glf/HLKZycxq5JiWue/IcUNOEEEg6VOKVU6faMRq3l2IWK1cGK1hzFfKv/sMynfvcv2UlNRkTT0HyANfT9nVE2lHFNTJStGWzbEarW89+4amXzRpfLmqj9a0eME6fizz5WXnnvS3KR0A7G6eaM97+Hm/J3oXfrwYvnCeV+W7Zu3yGFj6DS1epp1GlbzphVNK6TS/JxSdIosbVwq84vny3PFz8uQ6qFy0uBh8tjmR+VvZi2Q5WuelhNPRqx6BZJXYHuFgf+mxmvi4zU88qfzuvr6xQdL17B0jRNeuvTYk8uWyJxvIVaDBLle//xfZOg+xGprwzV3BxH0ZYc7hlhFrOYpF8ieB4FIxKqaLO3bfyiwme8tX5xH8zs+K2K1MGK1sr7eLj2jrr5lRpQ2mrVRGwYPkUbj6nu88bgUFxUjVo376/atn8iZ50yStWtWyZChw+xaqIjVGbIlSKwuWSzTps+wzJxzrt6A3HD9zfLaSy9IVWOVnFJyijy++Xcyr2y+vHDEiFXzM7RoaFLAPt9k9vUYIiMGjZJf77hP/m7yd+XNnaukqZdxW506JTkbyszqJa2+gUestp658d8c+1/7hTwzqy2zhIjVPskbIMTq3aJLpFVVtzBROP41hx0wvzs4YjX1Xrq9s6ess9rxmqSrtqDgYnXm/EXSv1+13Hf7LV2VIW7AIfWsmib1WvLbpLNvY58+cmTGFaIxqcSjhgQ5hGK6TRyTxsKqE7H5W7y3SUr2mEV8D5l42PpgiNa8qco8pj6gSBr7mxl/81qdiYvKizF2CmHcdWQRxKx2JH3q7igC3eZa31GAqTeWBIhZjV+3FFyspltnNX4o2t8iDJbaz05zBjn71s75pugvIjU/toXI3e1vYHIUsdoHauzUZJyJ7fI6lWYH5k6FGJoFKxOxWjC0FBxjAt3+Wh/jvqFphSOAWC0c2/aWjFhtLzlPPsRq+yAGiVSdRa2de037CiRXJAS4gQnGrDOuRTXGjXj3cTsjm8mZ2JWCkI1k2OZVCWI1L3xk7qQEuNZ30o6j2XkRQKzmha8gmQsuVvUx4OlTz5Ebr72yICfQ0YUSs5p7zGqFxqAe2C+1xrFXTZMq6+qktF9/OVJRKQ3Hjkpt7WHpbf5X9141TCotLbXd3GgMl5qM0y8xqytkwnkX2rhLYla3GhaTk0YrzoAnl5jV6793c9KxVw2pnGmLc/4NxQ24R5WcdcI58tsXfimzTv6GHDtSLy9sNy7FTXPl7aa3k+7ETzY9KaebHzV6Wty4WGZXf13KBvSSB7f8ysbH7jE/L61/Wr7+1/Plz9s2WlfnS2fMFm/M2lvGaVm3CedfmOJUnG6/N6/XfOXTbZ8kHY398YEYLCViJ/0xpP6YLS9D7ZNMMarErCY+0d17b/SYccmPeL9ZEDGrxKy6weGNh/feExKzGmyypYyC3j+OHTGrxoSCLVYECi5WdY3Vn9/1iKxYdmesTjysxiBWsxerx3R5EmOaVFFTIw3GKKm2okKajGDtVd1Xyszfo8ZMCbH6F/shcsb4CbLpw/ftMB112hhjmvS29B94ggwcdIK8sQqxqsvH6KZLMHQKsWqMr8addW7SgMktXfP12fPl3bffkNq9B2Xy0GnyzDtPyJjKMXJK3Uh5YP/9cmXxlSb0tdwK1wXFC2S3+Xm+8XmZWzxX/tTjT7Kh6AO5/JQr5N0Db8vBElPGuEvkja2vmnjZIsRq89JHOk78hipe4eMXlF5Rr3n1hnfK1Kly8snD5VBdQ4rDKmJ1qDhBGXTzG2Rk43dVDXJgRayaa5vnyyLv/UqQMMNgCYMlt+SZ/942yBEasZqglM4Zm5nVsBRSeOUUXKxqzGpbG27ACTp6g7Tlz5tkz+6dgbiKzAxkk5lZ1E3/927p9rs8RcY510TN2fz6W2zWKm0pQ8tttMXp+qQ9epRKkVkOptjUcexYg92vM5t6zOS2x4/U1UqvXr2tuHQis1fv3lJjxGh1n772eIkRozorevhwjfQ83ihlRoDVm5lSPQOdWT3ar5/UmXVQtT06i4pYPWLX19yxHbEayjqrObgBRzKzmkas6vqZaddZfcDcgF16lfSq6SkPvfhLuW7cd63Drs7IzimbK5uP/Ek+MD9fKfpKyuzs6qbV9n17fp9J8vqx1dLYu0jOG3mBvL77NZEeRXL2pMny1nvm/5LE7Cszqy0zyO5arH+VjW6I1eD1Xf2CErHash6wjpt0M1dBYjNInCNWU9eHVabphBczqy3rc/tvIBGriVUA3LryXj6I1UC5EcudBRersTzrkBtFzGow0PJX/ih9b1wgJZ9ssQnULImY1JAHXwcURxxTB0APqlJdio8V2RjZYl0Z7JD5Isr8LVLH4oOJL7ba2jRWVsqM4ZNxLy4yM7HW+Mk4GDcNLJHGUpPfmECxJQgQs8pI6I4EuNZ3x17nnJlZjd8YQKyG0CeI1VSIKk5VpKpYRaSGMMBiVgQ3MDHrkHTNUdfiGnNQRW07xKwWa82fzHI8ZgnaFkFrRKzu706CFrHaScY8zQyVANf6UHFSWCchgFiNX0dFIlY1bnXRT+9NOftb/+k6mXX5lPgRaUeLEKsJaCpSq/73T+xSNE6k6vIzh25e1A6qZIkrAW5g4tozObbLMzMrxslYha11MNZZ2TbWk/XXkm6G1i7PY2Zru8I6s4jVHMcWybsEAa71XaIbOYkcCSBWcwQWQfKCi9U7f7VU7vr1E7LkFz+QcWNG2lNat2GzzPnOj2XhNVd0epdgDJaMMVL9Eakw8asHTZxqv88+k8MmfrXEGCaVVlZJjTlWXtZTepT2sM6Z+nCixrseP95gYlvriFkdeapxCN1kGRKzKlJZVW1Nk8aeeY683GyQ4wxZnNPv+rVrpKsYLLUZs/pgwjSkvLynPPzgXTLv+ptszKrj4jWmKYgb8McmlvPNV2Tm5Kvl0M798sSbj8o1p1wrxUdF7vnTf8i86r+TnofKxOtg7HU29ppBNZnHix+oXyyzTviGVH6uWl7Z87JUmDje8SMnyJ5G43D8jnE4/vp80XReB0+/+Y4bAxp/5D/mzed3s8RgqSUGN8jp0x/z5zeZ8htJ6ec4MauXJG/RgkyiiFltuYP1vm+997XpYk3TxVkSs3pQJk1pGXeO5XNPEbP61dlzAiVTurGniYlZjUBlhlRFwcXq1Fk3ylVf+0IrUaoi9tHfv9TpXYK7tVhVIWrMk44a4Vlx+LAc6NNH+hrzpFoVq8aUyRksIVY/L/X1dbLpo/dlxMjRUmUEmd7clBkRMgKxaoWnmnPphlhtuelwN3IdJlazXbrmicfktCFnyF9VniLvbn7LLql04YBpsm/vbnlhT8IMStegVUdjdTeuNj8rmlZIpfk5u+jsFIdjHQP/r3ipTKycJEMGnCx/qt8kH9RskMvOucKOj/988zdy0ZTLZcDgE1OW7tFjiFWj9H0c9LVfeCJWWzMJ4pRuX5DzLmI1cUcaZBSl+xGrqXfs6TgFfSnkcqZzfNbjiNVXBbEakiqMaTEFF6vqBhz0yK97NBg34MTI6GxuwL2Nk+9RsyZq+ZEjUm/WG+xtzkFnVoPcgBGriFX9MFVHPp0V1L863nUmWR2wEatvWoGn35h7bzo6jVj1fKvvvaHyiiIVqw8/fLdcMeUqqWqoklc3LLeidXyfs1uJ2qVNS+V88zO0aKj8qanF8Vivkw83PizTi6fLQPOjxzb0MG7In/uajaF97NPfybnDLpDBRuTuObpLlm94Vr7+lXk2tnbVu8vtTK4uH6QbS9c8JTqr7zZmVrMXsIhV83TcOy3XLO+9LWK1hUZb65giVlsronSz7JoyaAksV0I612x3nJnVmKrPHJtVcLEax5nVmfMXyaaPt1lUp444SR5ffGtabEHxtprYK7K7U8yqxqNqXKpz+K2/8CLZf+fd1umXrXsQII6pe/RzR5ylitqm+maXY42d1f+bzaG0Pc7tWOpNbK1Jm8umjxjr+rPqgGwNosoSplFN5q8aSEm5cT82aawrsm4eN2RiVnMhTdquQoBrfVfpSc4jFwLErOZCK5q0BRercYtZ/fb3b5O9+w4mBaoK1/79quW+228JJK5i9ed3PdLm48rdQazi8BvNG7Iz1MINTGfopa7fxnTCtsjE1DYZMWuFrfkrR5tNo9qBxAnckj5mUdqepqgSU5ZX4DaL2iazT2dwu4KZVDswkaWLEuBa30U7ltNqkwBiNX4DpOBiVU85Tm7AOtP7jwuvTjoRZxKjmY7r+XVlsRrk8MtaqfF7I0fZIm5goqRNXWERCBK3zgXZilsjcvW1rlPbnplbbzutQ7LZdNkfna1NmcU1M7m6zz+Ti9ANq6cpJywCXOvDIkk5nYkAYjV+vRWJWI3LaTsX4iBnYu8+b3uDhLb3EeAubbBk3HuLGhul1Dj9NhabtRWNaVKPnj2lzuxXR9+jZn+Zcf3Vv72MqZKa5BCzulNOHX2GHUKf7dtrmBwwr4lZJWY1ES/p4nKOHq1Puvp647+6asyqvh+8MUneGCS/4U+s3IDN8j5/ePYRmfL5KTK0epjUHTom9y//d/nmWddJeW2Z1B+vl99s/JXcMOA7dgZ3d90ueaH+eZlbPNdeA7Y2bZXXzc+VRVfa1/4Y3KDXNg634qv2ceXdRXvk+QPPyFUjv2lndI+UmPreuVf+7uLvJsXufX+4U+ZeeYO5FhsFbB5d9vLTOjFYah1f6WcSxCndPmJWiVn13iOmi6ckZjX1zr8t8yj/54NfMxCzGhcV1XHtQKw2L6OTTqz6u8b/GLGK1WnTpuXdg1rOBx98IDt27Egpq6jIxFQ1mcfLmv/qQf3fv2maYhWU5q/bXDpv3kYjPjWd95ju003/lhpBWtzQIEXGOOmY+d8UKKWmvkZjomQy2eOHjfNvRUWFcbitN8tqlNu/+vrAgQPSr18/e1zTqZA9ePCg9DQCV/8/YsrU9mnaBlNHbW2tfV1VVZUsR4VvTU2N3VdSUmLz6a9umlbbePz4cXsOmtbPQtujaTSP5veeq/6vbdDjWsf+/fvlxBNPtO2rrEwEqtWZ5XT27t1r0w0aNMiej2779u2TXbt22fR9+/a1+zS/9teoUaOkurpatm3bZl+PHTvWtmv37t02zfjx4+25rl+/Xk4//XSbX/ta6z3ttNPkww8/tPWdeeaZsmXLFpvnvPPOk3Xr1tl6xo0bJ2+88Yate8iQIfLiiy/aMae8P/74Y5kyZYqsXLlSRowYIX2MI/Pq1atlxowZNp3Wp5umu+CCC+Sxxx6TmTNnytq1a2157piW98gjj8j8+fNlyZIlNo2OSW2f1qOblr1z504ZPny4za95nnnmGZtW886bN08eeOCBwL96XNM9/vjjybL1fPXctTxvHcpg4sSJNu2CBQvkRz/6kfzwhz+Uu+++2+bV89M8umlabYfWe9NNNyXTaLm6aftdOS6/stD6LrvssmTZeh56fsrLlaX5tB7l6t+n6e644w655ZZbLCfdtB26TzloH+p+/d+VPWnSpORx7W/XrlWrViXbo5yUiytf8+s4cXXp+HL5dAxpP1x99dXiLcPbnmz+9+Z95513LFPlrJzcOej5OAZ6rrfddpvlrW3zttlblretmsex0fHvZeJPp/UoS+XuPUctw/Whjl3/MW8+f5ne+vzt956nHvMy09fecv15tR9d3+gxV+91V1+XeG99+LGseGuFzJ08V5qONMnGrRtl3fZ1MnP4TDuLu3HvRln/2Xr5WqUxiTLHN9UZ92Pz85Wir9j83uV/9HW9+VFX5QXFC+xxy6TxbplfPN9M1ibcgNWgapJxUx5aOlSKexbLqrpV9hHmySdOtq93N+yWJzc8Kd+e/m2bXvf9+x/+Xa6ZeY30HZC4tq1cu9L+dZ9t/vPUY+79cdZZZ9m0/jGi+/zcdZ97P7v2+/sxqGzd5x1z6eoLKss7Jl2d/j7W/dnuCyovqN4gHlqP933g2uNnqfv949KlDcof1KYgZrrP+x53Zepf73vL7U93DunqCzqPdGWnY5Gu3W3tD8YrFTcAACAASURBVGKi6f3vXXdeQeNSjwX1o8vjH7eZykrHLt341v1B7zNXTzrmetx7Dfb2aVvM2mqf//rpLbO9x9o6t7bGgh5L1196LN37xLU5aFy7Y+neC36GvO54AgUTqy5WNWgt1baOFRJJe2ZW/e1xZbjZ1a42s1qqYtYsP2MGhhwzgq/JCL5S8429Crwm89OjR6lZH7WWmVXzncAhM5O8d89OGTb8FOM0WiW7dn5qXzOzOkeeXLbErhHq/jKzysxqp5xZNR8AOlM5ZepUOfnk4XKoriHFSdg/W+CfJfY7VfqXOAl8bb7UuvTimeY6XCR7zZdDy994Wv564jetuD1WZ2ZW375Xrj3t75OPLd+zNbHmbXlRuRQZUyqvm7J+fq1uWm0/xiYWTbR//QJY93mXFfLmOb+nyWNmdOub6uWBg/fL9UP/PvlY84vbn5Uh/YbK6QM/bx9zPtR4UJ5461H520tuSDzmbLZXPnhJKnqbsX/GOUnDKrdusvtsDVr2Jcgt1b/GZtDMVVBZQTOhzKxulWlf/HLK7U2Qa2pvM5N/3/2LZc63Wr4c0Uy4AbegY2a1hUXQsljuKDOrhVQ3Xb/sgonVTMZF/hnKqFAHxawu+um9Ke6+bbUlaMmdrhCzWvWzW0V/dVNn35obviuHF34vqm6hnk5EgDimTtRZNDUUAp3ODdg8vqybCl5rMtX8WgWvjc3V7VDiKZxkrG6zGZXuU9FbqC3pyqwVqDOzOjSbzToyN2/OxMrudzG++qLZsVn/daZWyUwe9+ZCtb27lcu1vrv1OOerBIhZjd84KJhYTbe+qkPQUeusZnIDVpGtm1vORsXtimV3JnsuSIR3ZrHqX4qmdu41ogZKLEUTvzdrXFrEDUxceoJ2REWg04nVkMA4UyotrqSmuVBdMsgsKaSbXVbIbM6B2e5rNqqy+9WsqnkrpAD2n64zuLL7PYLYmV0l29Ts7KyvU0Sx7vAIY32ZXNLIZe4G4phrfUhvJIrpVAQQq/Hrrm4nVrUL2lpn1S9WvWk178QJY1otc9MZxWqQy++eZU8jUuP3Ho1di7iBiV2X0KACE+iuYrUQWL0CODnzqxW52V/93zMDnFYIe2aCNUuUYriVOHZr+HoOWCdotzU7Qqfkq0r1nvDOLCfT+QRxK8GsCQsomrnWF+IdQJlxJ4BYjV8PFUys+h+39Z96NkvCxA9X6xZ1yphV/WA3JkVqnqRGQI0mLtU4Edm4VI1JLSoukmKz/9ixBnvCapZEzOp+4+67W/oPOEGqjJmSCd8lZvX8yfLaCmP2NH2GaEyqN0aVmNUDsub1V+Wrs+eIN6YJN+A55v3TJ4VJrN2AzfUv8pjVD0zM6ozZ9trrZxMU9+WP5cQN2PCbYgysmrf31q+RGmP0N3n8F6wI1lnhNze/Zo+eP/CCZLo3P3lNmsxH3nkDJ9l9OkP8+m5jTqXpqiclZ4nfqX/bxOcekouOTU3m9bs664GD5mdp41JrfuXd/PHBeuz5pudliPk5oyjhJK+b30na7Q/K/3bT21JjfqYWJdrkZpZ/eeCuZDyzE88bDr8n2+u3yRf7fSnl0etHN/9GLhlymQzsM0iaEp6GZhWAWvntWw/JNcb92ium3/3kLak5YpiOvjhFLL+05mkZMmCojB49zq477Lalf3hQpk2+3KxpPyglvTeO3cvIP6bdsXT705Xjfy+4ctLFmQbFPLs8/ljrTGXhBpwy7IWY1VQevMqNQMHE6j//5Jfy/kdbko/T+puVKaY1t9PouNSdUqwaUaoGSipQpaSHNU6yH0yIVeNsfEQO7P/M/u3Xb6BUq/OvwXPgAGK1orJa9u3dLWNGj5TX33xbzkGsyrzrb0pZGsTdNOmSRYjVXcnlefT6gsGSca7cvFE2esRopteI1XHJD/c4Gyxt+XCjfPRhwhjLbbW7DsgTfzSGU5dfnxTJeuy3r9wrV0y4Svo0mC89m7cXNz8jJ/UaKqdVtojVbYe3yps7XpPZg76RTKePVavR1ezKr5sJ1UR+nVH2i1WXwe8Urfvfb3pftpuf6UXTU26cHm58WKYXT5eB5sdt6QR3uvqCRLeWFVS27vcKb++j216Rremc0L5n23/ItwZfa57Qbnbwap6x/rVZPmrWiG9IVWkLU833+Nb/lHNPmiQnVZ+ccq6vbFkuleXG+GvUhJT9f969ST7a/r5cduYVif2eR8HvWvp/ZOGV/y0lvcZNv7r2xRYTMc/RQzUH5MlnH5W5cxeY+OqUbBJkIKYp2hJ06UytNJ93ybPUmowj8j13yNxvLZQyXdHB276Dpn3GCNFvnqVJ2jJKau8xxKq/Z3idC4GCiVVthM6u6uaN+XT79+0/lLWpUS4nFHXaTiFWxTxu1GhmUs3WaGZMi3VGVYWq/ppjTU0tS9cws4pYffappdYpUsXW8L86VQ7XHLRjB7G6IHmTMWLkaHn4QTNrgVhNuVHy3lD5b2oQq4hVvY7gBny3fQpFnzBwW5B48TtJu7RBs4ithEzzI9UPLGlZg9fFHH+4Zb1s37NVvnDO5SmPXv/n6t/IxWd8SQaUDUqacHlnVp0hl7Zj7V4zs9pwSC48YVoybln3v7DPOESXnyRn9DCi26w7nGzzoYfki70vlYElA1Me1w6aJdY8QSK7rf3pyvE7Y7v2rGhaIZXm5+yis1NuGYNmyF2Cf238V/mH4n9odYuZrqx0Ql8LCBL1Kmjry47aLyNu6LOwVT1uRn9qr4uS4t0lemrP7+X0ijEystepqflMmff8+T/km6cagV/iE6vHDsqyj38n14y6NjWPeTx9T+0uefFPz8pV44wLuW/zH/PGeu85tEuWv/9swr3ct9U31MtDK5vXiHbHPI+w//bpe+SKi66Sqt4t7wuX7NV3X5JK4yo+/lTjKt68OYO1T3f8Rda8a55i+tLVrerUHSmz+r4UH21aLzv2bJOLvpTqjM1jwIEoO3RnQcWqnpnOsD7x7KspJxkU99mhFPKsPM4xq34DpUM3LxL9ZYNAewkQx9RecuTrrASIWe2sPUe78yEQ6bXeG7Psa3TS3KuVAjI7ms2+As/T634dlKDZETsdI69ZWFAa67TtEeXBbTCTA/r4OVunIfC5//G5TtPW7tLQgovV7gAyjmIVA6XuMPI65hwjvYHpmFOkVgikEECsMiC6IwGu9dH1utd4LFOtacV7rmI+oCLn8J2pDe641wAt2zwuXa51ecvP6ouCbBpkvnDwf5mAWM0GXLRpEKsh8I6bWPXOpjb26WOWolnEmqkh9DNFJAhwA8NI6G4EEKvdrcc5X671jIHuSoDHgOPX84jVPPskdjGrapzU/KtxqU0mRrWoSGNTjY2S2a+/xWa/ugAnNmJWy3v2lF69KiwjDJb+RohZTZhOuDiywScNSxpRuH3ErLaYdnjNPYhZTTWV8scdZjJU8h/HYKlzGCwFucimc4MNijkNPWa1+dM9yFznow3r5NPtW60vgXdbumSxdXbvP8A49jZvvUvq5b77F7cy4Uln9pPOOCiobK0CN+CW8a08MFhKjeV24zCde7MeTxfb7fKmG3t6PN17AbGapzAqQHbEap5QYyVWnVBtNk7SJWhUnCJWE8K8xCzRU3/kiDQaQ6m62sOiNxP6wYxY/Yt19n3WLD/ztdmIVeeQiFj9JOlo7L/x9t4EI1YTRlu6+cUlYtU4pRoX8XFnnZv8pMVgKQKDJcSqJcDSNbgBI1bzFDkxyY5YzbMjOlys6mxp8zmoy6/OpBp1avfo7CliVVkgVrdv+4uMP/tceem5J8036jPs8hnuG3Q9hlhN3FSPGDmq1SwqM6tz7Bc73mUOEKuJpSD8MyGI1dSlMIJmRBCriFV328XMKjOrmcaCHmdmNU+h0gWyI1ZD6MSOiln1xqYeHzbcxKb+i9TOvSaEM6IICKQnQMwqo6O7ESBmtbv1OOerBLjWMw66IwEeA45fryNWQ+iTqMWq3+lXBaoKVRWsbBAoNAFuYApNmPLjRgCxGrceoT1REOBaHwVl6ogbAcRq3HrEPB9pHhNtWbk5fu3rFC2KUqwym9ophkSXbiQ3MF26ezm5AAKIVYZFdyTAtb479jrnjFiN3xhArObZJx0Ss+ra3Byb6r5vaHH4TSQgZrXEOB8Ts6pjgZjV+eKMFrZv/UQO1xyUSVMuERc/52JiiFltcQr1mgMRszpVTj7ZhFrUNYg3XpeY1aEyekwi7i7I/ZaY1dQYXuWEG3DLTRcxq8SsutGQbizocWJW8xQqXSA7YjXPToxMrJp2uilwaxeUXHpGV6pJHEGsipSWlkljY6OUlpUZoYpYVfGFWH1KrpyDWH3r9VfsWJhw/oXi/d+7DIXXyh+xeqHlpY6iU6YiVh9+sMX1WLn4lylBrK6XS2fMTt5RsHRNy80VS9ek3mimW+KHpWtYuiZPSdJlsyNW8+zaDhGrHqGqzUestnQiYrVa3nt3jUy+6FJ5c9UfrbstYhWx6heoiNWWdWL9y8t42SBWE4I96CYasXpJ8oOHdVYTKFhnteVeJN2XFW1xQqwiVvOUJF02O2I1hK4tRMyqmij1+9bVUrr+XdvCQzcvsr9sEOhoAsQxdXQPUH/UBIhZjZo49cWBANf6OPQCbYiaADGrURPPXB9iNTOjjCnCFqt+E6X9d94t9RdelLEdJIBAFAS4gYmCMnXEiQBiNU69QVuiIsC1PirS1BMnAojVOPVGoi2I1RD6JEyx2ue/3ywVd/2bbRVL0oTQORQROgFuYEJHSoExJ4BYjXkH0byCEOBaXxCsFBpzAojV+HUQYjXPPgkrZvXt556Sra/9UXb06xfYIufsa79hIGZViouK5dixY81uvy3IiFklZnXa9BmyZfNGOyiGm5jdl58nZpWY1RelorJaxp11rh0XXkdfYlZbO9T643aJWU3E7urmNSRz+4hZTZAgZrXlXoSY1dRb2bbicTUlbsB5ipEunh2xmmcHhyFWez71e3n3ofvlw+HDZcfgwYjV2sPSu6JSSkpKrLtvaWmpZdJoXI+bjNPv8cbjiNXzLrTLr+gyLGeeM0nWrlklQ4YOszfkGCwhVvX90pZAxWAJgyV1yHab/0YRsZog4+eAWE0v2BGriS/C3IZYRazmKS/I7iGAWM1zOOQrVqt+dqvo78sXXywbpkyRnT16IFYRq3LG+Amy6cP37VgYddoYI0Dflv4DT5CBg06QN1atkAmIVcvm0+1bDYvJ8uSyxHqGbokEZlYRq25GXceJf50+ZlYTTxsgVltmTIOEKWK1Xu67f7G9tnq3oNllxCpide+eXcknmfw3ssys5ik2unl2xGoIA6C9MatOqGoTcPsNoSMoIhICxDFFgplKYkSAmNUYdQZNiYwA1/rIUFNRjAgQsxqjzmhuCmI1hD7JVawWHzggfW+8QfTxX90O/M+fyeGF3wuhJRQBgcIT4Aam8IypIV4EEKvx6g9aEw0BrvXRcKaWeBFArMarP7Q1iNUQ+iQXsarrpw6Ydbno3+PDhsu+Bx+RY2PHh9AKioBANAS4gYmGM7XEhwBiNT59QUuiI8C1PjrW1BQfAojV+PSFawliNc8+ySVm1S9U9yx72gpW3TQ2ZsufN8me3TsDW4QbMAZLxKwuFnX6Xb92jQweMtS+T4hZXS+Xzpid4lDqjbPL5n9v/NlHG9ZZptO++GXxuuT6zUK8MZ/PPfWYjDp9rIwwzsvesvzxS14TH28MqT/dHx5bIuecP1kGnzRM/C6rLia5/4BBrY558/nLJGY1EcOsW1BcGQZLwWZKxKwSs+puyO75t5/J9d+7udX9mf/a4hJgsJSKipjVPMVGN8+OWM1zAGQrVvWRX330Vx8B1plUnVF1QhWxWillZWVy9OhRaTh2VGoxWMJg6cxzkkYN7ibBCRXEasIcxyvkvCIxG4GKGzBuwBgstQh49xmsf52oT7ePpWuCl+9RXixd03JDiVhFrOYpL8juIYBYzXM4ZCNWvUZKGpuqMar+jZlVxKrOTu3Y/hfRDzncgBGrbrarvLynPPzgXTLv+ptSZsUQqxtl4weJmWXdmFktb8UhSHAxs5r9LCozq8ysMrOaerfaluMvbsB5CgqypyWAWA1hcLQVs4rjbwiAKSJWBIhjilV30JgICBCzGgFkqogdAa71sesSGhQBAWJWI4CcYxWI1RyBBSUPEqs4/oYAliJiSYAbmFh2C40qIAHEagHhUnRsCXCtj23X0LACEkCsFhBuO4tGrLYTnDebX6zi+BsCVIqILQFuYGLbNTSsQAQQqwUCS7GxJsC1PtbdQ+MKRACxWiCweRSLWM0Dnmb1x6y25fjbVlXErBKzSsyqSGVVtXWjHYvBkhCzihuwPwYsyFHT68ysnzHe2F197Y+7JGaVmFXn+O29J/E6bbv9vUuIWXUscANOkCBmNU/RQPZ2EUCsZoFt5vxFsunjbTblqSNOkscX35rM5RWrmRx/Eav10mQg9OrVW44fb5AjdXXS1NQkvStwAz5af8Qu/4HBEmLVLQODWEWsIlbHJT82/aI8yG3Vv9SRZg5y7w0yTsp2H27AuAF77+VYuqaFBgZLWQgKkrSLAGI1A7Zvf/822bvvYFKgqnDt369a7rv9FpvTidVsHH8Rq4jVESNHS5WZPdSbqjLj8jpi5Knm/02CWD1o3x7MrLasWYpYRawiVhGrX509J+XWwb8mbjpBrvv9Al/3eddS9hbMzKq0WrvZy4eZ1QQNZlbbpbXIlCcBxGoGgFNn3Sj/uPBqmXX5FJty2dMr5ed3PSIrlt2ZzHnolv8uKlZ1O3TzIvvLBoGuSoA4pq7as5xXOgLErDI2uiMBrvXdsdc5Z2JW4zcGEKtt9Mm6DZtlznd+LEt+8QMZN2akTdlq3xe+ILJ8uTT26SMHzfqptXOviV8v0yIIhEiAG5gQYVJUpyCAWO0U3UQjQybAtT5koBTXKQggVuPXTYjVfMVqUZHIiBEijz0mctZZ8ethWgQBCEAAAhCAAAQgAAEIQKATEkCs5ilWX77ySpl2++0JwZrHprGvH3zwgezYsSOllCIjhtWEyP3Vg/q/f9M0xcXFNq3bXDpv3sbGRpvOe0z36aZ/S0tLk8ePHTtm9+s+l0b/P3z4sFRUVEh9fb2Ul5fbv/r6wIED0q9fP3tc05WVlcnBgwelZ8+e9v8jR47Y9mnahoYGqa2tta+rqqqS5Rw9elRqamrsvpKSEptPf3XTtNqO48eP2zZqWj8LbY+m0Tya33uu+r+2QY9rHfv375cTTzzRtq+ystLWUWdMn/bu3WvTDRo0yJ6Pbvv27ZNdu3bZ9H379rX7NL/216hRo6S6ulq2bdtmX48dO9a2a/fu3TbN+PHj7bmuX79eTj/9dJtf+1rrPe200+TDDz+09Z155pmyZcsWm+e8886TdevW2XrGjRsnb7zxhq17yJAh8uKLL8q0adMs748//limTJkiK1euNENwhPQxM/yrV6+WGTNm2HRan26a7oILLjDfqTwmM2fOlLVr19ry3DEt75FHHpH58+fLkiVLbBodk9o+rUc3LXvnzp0yfPhwm1/zPPPMMzat5p03b5488MADgX/1uKZ7/PHHk2Xr+eq5a3neOpTBxIkTbdoFCxbIj370I/nhD38od999t82r56d5dNO02g6t96abbkqm0XJ10/a7clx+ZaH1XXbZZcmy9Tz0/JSXK0vzaT3K1b9P091xxx1yyy23WE66aTt0n3LQPtT9+r8re9KkScnj2t+uXatWrUq2RzkpF1e+5tdx4urS8eXy6RjSfrj66qvFW4a3Pdn87837zjvvWKbKWTm5c9DzcQz0XG+77TbLW9vmbbO3LG9bNY9jo+Pfy8SfTutRlsrde45ahutDHbv+Y958/jK99fnb7z1PPeZlpq+95frzaj+6vtFj/nr9ZfvbnOm1vzx/ff72BLXXfz7+Mv19E8QgqF73/jir+Uta/xjRcvzcdZ97P9s3jdn8DHSfv+yg8wyqL6gs75h0dfqZBJ1zun1B5QXVG9S+INbpztc/dlzbve8jty+oTUHMdJ/3Pe7y61/ve8vtT3cO6eoL6rd0Zadjka7dbe0PYqLp/e9dd15B4zLdWHR5/OM2U1np2KXrb90f9D7L1Md63HsN9vZpW8zaal/QNcKV295jbZ1bW2NBj6XrLz2W7n3i2hs0rt2xdO8FP0NedzwBxGqGPgiKWV3003vlveWLbU7/0jXt7VKWrmHpGtyAMVh67ikMlrxLr/jdXb0mMP5j3nx+ExC/Y6fXeObTbZ/ImtdfFWdk43eF1XKnTJ0qJ588XA7VNaSY1viXkvHX6y/b3+ZMrzFYwmAJg6WWu6ogwyg9GmQ6pfv9yzglhd/KF6WislrGnXVuyi1bkJu0S4DBUoIEBkvtvcsnXz4EEKsZ6GXrBpxPJ2hexCpiFbGKWEWspt5gIlZ3ycvPPyVXzplvP2JYZ3WhcVEvtyxYuqZP8rYjaDkdPYgb8BI55/zJMvikYSm3aOmWm0Gs5idIWbomXyVA/nQEEKtZjI221lnV7Nv31mVRCkkg0DUIYLrRNfqRs8ieAAZL2bMiZdchwLW+6/QlZ5I9AQyWsmcVVUrEagikEashQKSITkOAG5hO01U0NCQCiNWQQFJMpyLAtb5TdReNDYkAYjUkkCEWg1gNASZiNQSIFNFpCHAD02m6ioaGRACxGhJIiulUBLjWd6ruorEhEUCshgQyxGIQq3nCxGApEWvaq3dvqTl0UKr79JUjdbVS0qOHcQQuM87ANVJe1lN6lPaw8VbqVdyrV2/j6Ntg0tVZh9/eFZXWvVfLaTh21DjnHrb71M1Xy1BnYd0aTdomdQNuNG7ARcWibsXFxanOyJreuhqb8oqL1Q1YjyfSaHn16gbc1Ch1pg6Neeo/YJCUG0fTXr0qTIom42x8RA7s/8z+7ddvoFSr869p9IED++WzfbtN+hOkyjj/6r5D5nz37tkpw4afYswaqmTXzk/t61NHn2Hr+2zfXsPkgHn9eVNenWz66H0ZMXK0cTquFo2NKSvvaV6fav7fZNgcEWJWiVklZpWY1Y0frJdLZ8y21xAMljBYwmCp5SYNg6WDMmnKJa3uWr2fG/6D6ZgFxXy7vO01USJmNU9BQfa0BBCreQ4OxCpiFbE6Q/TD8iuz5siTy5YE/tXj06bPsGYx+lcNxVScb/nzJhk8ZKj9okO3SiPkP92+VcaeeU7SWMa5MDon2PVr19g8umnaCedNtvXO+dYCcWm2mC8DdBs+clSyHHds+9ZP5HBN4kPfle0MN0aY9K6sl1/4L1uPmnP49+mXDg8/eJfMu/4mey66TTj/wqQrpX5J4RxmvWYezrXy6NH6ZLu85iiIVcQqYtW47De/90aPQawiVhGrSiCdiZYeQ6y2uLn7b+m9DvL+Yx9tWGfvIaZ98csph5hZzVMYFSA7YjVPqIhVxCpiFbGKWB1rnhIYlXJD5f+W3bu8hFfA+9OxdA0zq4hV80Wcb0kld6sStEwLbsB32y9Jq6pbHJKVF0vXBDtCKxtmVkUQq3kKoAizI1YjhE1VEIAABCAAAQhAAAIQgAAEIJAdAcRqdpxIBQEIQAACEIAABCAAAQhAAAIREkCsRgibqiAAAQhAAAIQgAAEIAABCEAgOwKI1ew4kQoCEIAABCAAAQhAAAIQgAAEIiSAWG0n7JnzF8mmj7fZ3KeOOEkeX3xrO0siGwQKTyDX8ZopfT7Hlz29Uhb99N5WJ/3e8sWFB0EN3ZZApjHrB5MpfabjWt66DZtlznd+LEt+8QMZN2Zkt2XPiUdHIJtx6W1NpvSZjrc1zrnWR9fv1NRCIJsxG9Z74Nvfv01Wv7UhBT/3MuGPRsRqO5jq4Ny772BSoOobo3+/arnv9lvaURpZIFBYArmO10zp8z2uNzA/v+sRWbHszsKeOKVDoJlApjHrB5UpfabjWt7UWTfKvv2HbNGIVYZiFASyGZfedmRKn+l4pnHOtT6KXqeOXMZ02Nd6vc5772X++Se/lJWvr+P+JuRhiVhtB1AdnP+48GqZdfkUm5sLcjsgkiUyArmO10zp8z3O+yWyrqeiZgKZxqwfVKb0mY678phZZQhGSSDbcenalCl9puOZxjnX+ih7n7rclye53J9nGuOZjvupc80vzDhErObINWggMjhzhEjyyAjkOl4zpdeG+x9r9ObJdFwfhQx6NIzHZiIbEt2uokxj2v94bqb02YzxTDfx3a4TOOGCE8g0bjtinHOtL3i3U4GHQEe+B1wz7vzVUnn09y8xsxryyESs5gg01zdDjsWTHAKhEsh1vGZKn+lGPdPxoLg9/6NmoQKgsG5PINOY7oib+G7fKQAInUBnGOdc60PvdgqMkVh178Fb/+m65JOXdFA4BBCrOXLM9QMhx+JJDoFQCeQ6XjOlzyRGMx0PEquuTmZXQ+16CmsmkGlMI1YZKl2BQGcY51zru8JIi+85xOE9sPCaK+TGa6+ML6RO2jLEajs6LugZdnU35Wa7HTDJUnACuY7XTOnzPe4/YfeoGO+fgg+FbltBpjHrB5MpfabjrjxCRLrtkOuQE892XLrGZUqf6Xiu45xrfYcMi25VabZjNsz3gBvXGOkVbqghVtvBNhuHvHYUSxYIFIRApvGqbta6ueWXMqXP97jfPQ837YJ0O4V6CGQas2G/B3K9iaezIBAGgbiNc671YfQqZeRCIOr3ACZiufRO+9MiVtvJLtd1nNpZDdkgEAqBtsar/0ZdK8w0vvM57s2rdU2cMIZln0LpZQppi0DU7wHv0jXarn59qzDdYIgWnECcxjnX+oJ3NxUEEIjqPeCenAnqBOJWwx2aiNVweVIaBCAAAQhAAAIQgAAEIAABCIRAALEaAkSKgAAEIAABCEAAAhCAAAQgAIFwCSBWw+VJaRCAAAQgAAEIQAACEIAABCAQAgHEaggQKQICEIAABCAAAQhAAAIQgAAEwiWAWA2XJ6VBAAIQDHCQkwAACGpJREFUgAAEIAABCEAAAhCAQAgEEKshQKQICEAAAhCAAAQgAAEIQAACEAiXAGI1XJ6UBgEIQAACEIAABCAAAQhAAAIhEECshgCRIiAAAQhAAAIQgAAEIAABCEAgXAKI1XB5UhoEIAABCEAAAhCAAAQgAAEIhEAAsRoCRIqAAAQgAAEIQAACEIAABCAAgXAJIFbD5UlpEIAABCAAAQhAAAIQgAAEIBACAcRqCBApAgIQgAAEIAABCEAAAhCAAATCJYB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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 59, "id": "03807baf-28a8-45ad-a31a-53003a13d02e", "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", "
SYSTEM TIMEEES*P
8180.2017530.8328491.16715115.691155
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "818 0.201753 0.832849 1.167151 15.691155" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 60, "id": "5d28e797-ebb8-480a-bdcf-13880757b32b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "15.69115548729148" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "797a8ab4-d051-4e92-bf1b-e1e148de6ca4", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 61, "id": "94b8d506-9225-4c18-b618-2b87e9d48a3a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.983808841104036" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 62, "id": "968136e5-5497-4e3b-8a2b-25b02d7e9ad7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04311547431679562" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "78dd47e8-668a-44f2-a770-f7cff871915b", "metadata": {}, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "3af50933-541a-4e48-b6de-69fdbf82a5cf", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "ba756ea7-7e7b-4a9b-a847-c9b12975b667", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1a2e3c92-4ce0-4d3b-bb89-113fe3eabbc1", "metadata": { "tags": [] }, "source": [ "# 6. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 63, "id": "30fb7ef6-0dcd-4063-bf6b-5e69e6a9a81e", "metadata": {}, "outputs": [], "source": [ "E_init = 10.0 # 1/2 of the initial [S]" ] }, { "cell_type": "code", "execution_count": 64, "id": "4353621a-ac88-4cd3-a3b2-fec1bbf592f4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 10.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 65, "id": "6e3b51d3-31c8-4d55-90b6-c54275ebf914", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "836 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 2\n", "Norm usage: {'norm_A': 834, 'norm_B': 838, 'norm_C': 834, 'norm_D': 834}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.05,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 66, "id": "a8169cc9-fa96-4388-bdbd-3672c6e9fa59", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 67, "id": "a4246902-f175-42db-9658-8eb630bb03c2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (837) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 68, "id": "cea4cabc-470c-4830-ab70-f05d4176b189", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.005877353573479905, 6.680399989705835)" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.05)" ] }, { "cell_type": "markdown", "id": "7e911332-dbd3-4f05-bda5-1d902d515156", "metadata": {}, "source": [ "#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW APPROACHING THE TIMESCALES OF E AND ES**" ] }, { "cell_type": "code", "execution_count": 69, "id": "11c4c99b-cc15-488e-ba6a-f8aacd80ed67", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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", 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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -3.317793896270705e-05, 0.050264577528501185 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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"text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "markdown", "id": "1f97da50-3764-4be6-bdef-ae5eef24a37d", "metadata": {}, "source": [ "#### Notice that at these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES*]" ] }, { "cell_type": "code", "execution_count": 71, "id": "c7d3f38c-331b-47f2-9ae0-31531c62c7e2", "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", "
SYSTEM TIMEEES*P
8360.0502654.7656975.23430312.304598
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "836 0.050265 4.765697 5.234303 12.304598" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 72, "id": "38c003d2-e007-4c47-9c91-3fb6c2a626ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "12.304597774138907" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "04f9845c-4a0d-4309-acd6-46fcc1d59136", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 73, "id": "51356bd2-f34f-4189-8f39-c11804c6062c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8.613218441897235" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 74, "id": "f40ab9f2-a1fe-46a0-b755-9e2dd332ce9f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.008274545666098492" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "319960a1-b1b3-4237-87b2-f634420acec9", "metadata": {}, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "e69e2707-5dfa-465f-9842-64f796c55dac", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "903586d5-e021-4536-bc32-987df21b2e69", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e813f05f-1cbb-4b9e-8bc3-9902ba313445", "metadata": { "tags": [] }, "source": [ "# 7. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 75, "id": "70c6943f-9deb-4ec0-89eb-382c9728e889", "metadata": {}, "outputs": [], "source": [ "E_init = 20.0 # Same as the initial [S]" ] }, { "cell_type": "code", "execution_count": 76, "id": "0e1fec6a-0cca-4ca7-b54e-340fbef124d8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 20.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 77, "id": "27e46b9b-802e-4de5-b549-062ba7a4866b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "757 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 2\n", "Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.02,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 78, "id": "4b74d93a-54a3-4c96-88d8-b9c4fcc34059", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 79, "id": "cec660e7-1c5c-4215-9501-1abd52f96df9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (758) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.32986121261371e-05, 0.020147397371097706 ], "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": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 80, "id": "b44a6da4-b3bb-4297-932b-3df13fe796d0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0024715441102170356, 4.283809315596441)" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.02)" ] }, { "cell_type": "markdown", "id": "45539de2-b37b-4749-aa4f-b247c860b3ee", "metadata": {}, "source": [ "#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW GETTING CLOSE THE TIMESCALES OF E AND ES**" ] }, { "cell_type": "code", "execution_count": 81, "id": "5fcdb4fd-0dba-43b7-880f-4c8b3aceca1e", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.002 ], "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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", 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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.32986121261371e-05, 0.020147397371097706 ], "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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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "markdown", "id": "14a5ce9f-8a93-4ad4-a8fa-e26496b0e573", "metadata": {}, "source": [ "#### At these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES*] that overlap less" ] }, { "cell_type": "code", "execution_count": 83, "id": "05426505-fa5c-4b0f-bdae-9eaf3cace1dd", "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", "
SYSTEM TIMEEES*P
7570.02014710.9981479.0018539.163739
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "757 0.020147 10.998147 9.001853 9.163739" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 84, "id": "50529736-69a0-404a-ac61-2b5f9b2ba216", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "9.163739207468186" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "60e3e92e-32ba-46f7-8c4c-760ac69054ea", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 85, "id": "31d1a073-906e-45d0-90d2-d63f8e4d7df2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.41461744522773" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 86, "id": "c6d79966-d114-4e66-bb94-bcf852fee8be", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.004076150862005783" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "3c014242-7a93-4368-ac71-0e2aa7dc88f5", "metadata": { "tags": [] }, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "2ca50397-215f-490e-ac27-c2b76cf51dae", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "845d2620-d0a2-4080-a201-a118fede9e48", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "c45bfaac-3a80-473c-a9b5-cc0c55bf1c5f", "metadata": { "tags": [] }, "source": [ "# 8. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 87, "id": "06f75fcd-19b7-45dd-bcd5-ea5136280700", "metadata": {}, "outputs": [], "source": [ "E_init = 30.0 # 50% higher than the initial [S]" ] }, { "cell_type": "code", "execution_count": 88, "id": "86ebdf54-6e5e-4450-acc2-9c45fb978d6d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 30.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 89, "id": "45e38a17-5515-4d69-8b27-168331473dd4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "749 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 2\n", "Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.01,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 90, "id": "8d7277d0-1d8f-479a-9110-eace7ef00222", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 91, "id": "dd0211e8-5dfb-4c1c-809c-b7824f04af50", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (750) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -6.636194676929936e-06, 0.010053834935548853 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.6666666666666665, 31.666666666666668 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 92, "id": "64c0b5f9-1a4a-4b65-a927-f4c24839c44c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0015007776137844029, 2.9518860757696133)" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.01)" ] }, { "cell_type": "markdown", "id": "cd858e13-44eb-4e0e-a77f-82001e764fbc", "metadata": {}, "source": [ "#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW COMPARABLE THE TIMESCALES OF E AND ES**" ] }, { "cell_type": "code", "execution_count": 93, "id": "1bf0ed70-9c0a-4c93-b538-0cafeb01921b", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E
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"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": "Detail when [E] init = 30.0
Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "domain": [ 0, 1 ], "range": [ 0, 0.005 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.6666666666666665, 31.666666666666668 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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"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": "E and ES when [E] init = 30.0
Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -6.636194676929936e-06, 0.010053834935548853 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -1.6666666666666665, 31.666666666666668 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The full reaction of E and ES*\n", "dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n", " title_prefix=f\"E and ES when [E] init = {E_init}\")" ] }, { "cell_type": "markdown", "id": "7e1d57c5-4f7a-4e1e-a9e5-0303d60e3020", "metadata": {}, "source": [ "#### At these high initial concentrations of [E], we're now beginning to see [E] and [ES*] no longer overlapping; the overshoot is still present in both" ] }, { "cell_type": "code", "execution_count": 95, "id": "ff72f0a5-b05c-4269-9d98-786e0b53c921", "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", "
SYSTEM TIMEEES*P
7490.01005418.41133711.5886636.998847
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "749 0.010054 18.411337 11.588663 6.998847" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 96, "id": "907c937b-bba7-4f7d-8682-86daa9717831", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.998846772430818" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "96560369-9a78-40f4-90c3-2ecb441f2bc4", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 97, "id": "8a14ce96-a237-4610-9e87-38a6231ca263", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.899192740701572" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 98, "id": "f6d96e06-599d-4c14-beca-30a37d083617", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.002747856201107546" ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "9dc94f9b-7c97-468d-90b4-c37b7483ca67", "metadata": { "tags": [] }, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "3715cc7b-385f-4119-8b75-2d494ffd892e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cef69c73-8295-4f75-8310-ebcc3ec4fc2b", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f4d60280-db10-4e82-9d6f-02090bdd888d", "metadata": { "tags": [] }, "source": [ "# 9. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 99, "id": "a6b8d011-9592-4386-983e-f530b5f90298", "metadata": {}, "outputs": [], "source": [ "E_init = 60.0 # Triple the initial [S]" ] }, { "cell_type": "code", "execution_count": 100, "id": "2b677f97-a5de-486a-89f8-9bc3137b3d7e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 60.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 101, "id": "07850faa-b7a7-4c58-9017-a95a1e93eb46", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "770 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 3\n", "Norm usage: {'norm_A': 765, 'norm_B': 767, 'norm_C': 764, 'norm_D': 764}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.005,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 102, "id": "b850c64e-b44b-4cce-881e-569483921906", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 103, "id": "28c1e572-a798-4605-82ba-9b7430bda4bf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (771) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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Changes in concentrations for 3 reactions (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -3.305877802446423e-06, 0.005008404870706331 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -3.333333333333333, 63.333333333333336 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 104, "id": "417d9ff2-d739-44af-aff0-72513b3c7d66", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0007023910558856093, 1.5191639777843677)" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)" ] }, { "cell_type": "markdown", "id": "497f2877-4ce5-41cd-9119-e483df6fcf14", "metadata": {}, "source": [ "#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND NOW THEY REMAIN COMPARABLE THE TIMESCALES OF E AND ES**" ] }, { "cell_type": "markdown", "id": "89ff44f1-0c42-4a6d-8fe3-b1efab242da1", "metadata": {}, "source": [ "#### At these high initial concentrations of [E], [E] and [ES*] no longer overlapping, and are now getting further apart" ] }, { "cell_type": "code", "execution_count": 105, "id": "449c94a5-dd8e-4681-b654-dce7b685a7c7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEEES*P
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\n", "
" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "770 0.005008 44.60637 15.39363 3.832618" ] }, "execution_count": 105, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 106, "id": "41db82fe-6607-44f8-9723-9a0d3f7306a6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.832618199402545" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "c4951935-f4a1-4790-b198-fd0e2bfc18ca", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 107, "id": "e7cb5350-03c0-49da-a185-fd7af33f1312", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.682832739581781" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 108, "id": "fbbb456b-0880-4aa2-b300-89d1204ad53d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.001390053726276219" ] }, "execution_count": 108, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "markdown", "id": "977bfde9-42e1-4733-bac6-bae954134aac", "metadata": { "tags": [] }, "source": [ "#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": null, "id": "6c7df8fa-c510-45db-9e5f-52e62766e52f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "09d0e661-f920-4070-82e4-e0e0affc188d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "4a771e38-d7b2-444a-bfe8-b0032cbc79f4", "metadata": { "tags": [] }, "source": [ "# 10. Keep increasing the initial [E]" ] }, { "cell_type": "code", "execution_count": 109, "id": "338fbe68-dde9-4159-a405-973ee8a7c796", "metadata": {}, "outputs": [], "source": [ "E_init = 100.0 # Quintuple the initial [S]" ] }, { "cell_type": "code", "execution_count": 110, "id": "c45f280a-708c-4de0-95dc-03a629dbebfe", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "4 species:\n", " Species 0 (S). Conc: 20.0\n", " Species 1 (P). Conc: 0.0\n", " Species 2 (E). Conc: 100.0\n", " Species 3 (ES*). Conc: 0.0\n", "Set of chemicals involved in reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n", "\n", "dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 111, "id": "5d5bcb4d-3932-4cee-bb45-7bd19db664a1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "785 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 0\n", "Number of step re-do's because of elective soft aborts: 3\n", "Norm usage: {'norm_A': 784, 'norm_B': 787, 'norm_C': 783, 'norm_D': 783}\n" ] } ], "source": [ "# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n", "dynamics.single_compartment_react(duration=0.003,\n", " initial_step=0.00005, variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 112, "id": "2ca20feb-38fe-4737-99b7-2b0472453781", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium(verbose=False)" ] }, { "cell_type": "code", "execution_count": 113, "id": "38b01a6e-4c2a-47a2-b4bf-793f90470590", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "plot_curves() WARNING: Excessive number of vertical lines (786) - only showing 1 every 6 lines\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=S
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n", " title_prefix=f\"[E] init = {E_init}\")" ] }, { "cell_type": "code", "execution_count": 114, "id": "803d88fa-f551-4f56-96af-37b417c505b4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0004266715141239805, 0.9491814221946882)" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Locate the intersection of the curves for [S] and [P]:\n", "dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)" ] }, { "cell_type": "markdown", "id": "ecbaf247-3675-44b8-9bbc-a71f37f341ba", "metadata": {}, "source": [ "#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND REMAIN COMPARABLE TO THE TIMESCALES OF E AND ES**" ] }, { "cell_type": "markdown", "id": "3491b263-298d-4057-926a-c57ed7eb5444", "metadata": {}, "source": [ "#### At these high initial concentrations of [E], [E] and [ES*] no longer overlapping, and are now getting further apart" ] }, { "cell_type": "code", "execution_count": 115, "id": "92812a67-0f27-4e7f-837b-368a426921d0", "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", "
SYSTEM TIMEEES*P
7850.00302882.77909917.2209012.312829
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" ], "text/plain": [ " SYSTEM TIME E ES* P\n", "785 0.003028 82.779099 17.220901 2.312829" ] }, "execution_count": 115, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation" ] }, { "cell_type": "code", "execution_count": 116, "id": "5c48aa58-e44c-4e18-9c60-c562560aa0e9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.3128291895441793" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_equil = dynamics.get_chem_conc(\"P\")\n", "P_equil" ] }, { "cell_type": "markdown", "id": "da34f793-1dd1-41a0-a20b-8e15e82654db", "metadata": {}, "source": [ "#### P_equil continues to decrease with increasing initial [E]" ] }, { "cell_type": "code", "execution_count": 117, "id": "98698d70-47a1-4763-be1f-89660bd27ffa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.6189804326809254" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" } ], "source": [ "P_70_threshold = P_equil * 0.70\n", "P_70_threshold" ] }, { "cell_type": "code", "execution_count": 118, "id": "69acbdb6-7a06-4e96-9ad7-3bdfc3ef92c7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0008229365407830671" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)" ] }, { "cell_type": "code", "execution_count": null, "id": "1806b972-6770-4a1a-be69-1f1504c6da94", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "6974ce46-642c-47a5-96b2-e4f3c9fa6b5d", "metadata": {}, "source": [ "# CONCLUSION: \n", "### as the initial concentration of the Enzyme E increases from zero to lavish values much larger that the concentration of the Substrate S, the reaction keeps reaching an equilibrium faster and faster... \n", "#### BUT the equilibrium concentration of the Product P steadily _reduces_ - and ES*, far from being transient, actually builds up. \n", "#### The **strange world of departing from the customary Michaelis-Menten assumptions** that [E] << [S] and that the rates satisfy k1_reverse >> k2_forward !" ] }, { "cell_type": "code", "execution_count": 119, "id": "073427b4-27a8-407d-bdee-0df89430eb16", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMESPEES*caption
00.020.00.0100.00.0Initialized state
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" ], "text/plain": [ " SYSTEM TIME S P E ES* caption\n", "0 0.0 20.0 0.0 100.0 0.0 Initialized state" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(head=1) # First point in the simulation" ] }, { "cell_type": "code", "execution_count": 120, "id": "1b5546d6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMESPEES*caption
7850.0030280.466272.31282982.77909917.220901
\n", "
" ], "text/plain": [ " SYSTEM TIME S P E ES* caption\n", "785 0.003028 0.46627 2.312829 82.779099 17.220901 " ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history(tail=1) # Last point in the simulation" ] }, { "cell_type": "markdown", "id": "9c5c0d06-8dc7-43c9-affa-5ead52f95cb8", "metadata": {}, "source": [ "### When the initial [E] is quite high, relatively little of the reactant S goes into making the product P ; most of S binds with the abundant E, to produce a lasting ES* \n", "The following manual stoichiometry check illustrates it." ] }, { "cell_type": "markdown", "id": "22946daf-a9fc-4b93-a9ff-b97b385299a0", "metadata": {}, "source": [ "#### Manual overall STOICHIOMETRY CHECK:" ] }, { "cell_type": "code", "execution_count": 121, "id": "8e3cdce6-5f0d-404a-aaa1-907b4c5ab241", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-19.53373" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_S = 0.46627 - 20.0\n", "delta_S" ] }, { "cell_type": "code", "execution_count": 122, "id": "4e36063d-e6f9-4dfd-b1f3-79f4aeafdd8f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-17.220900999999998" ] }, "execution_count": 122, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_E = 82.779099 - 100.0\n", "delta_E" ] }, { "cell_type": "code", "execution_count": 123, "id": "3dbf7a73", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-17.220900999999998" ] }, "execution_count": 123, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_E = 82.779099 - 100.0\n", "delta_E" ] }, { "cell_type": "code", "execution_count": 124, "id": "ffd30805-1f47-4410-a6c8-5c8db4d9bbad", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "17.220901" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" } ], "source": [ "delta_ES = 17.220901 - 0\n", "delta_ES" ] }, { "cell_type": "code", "execution_count": 125, "id": "4d77a7f6-0d90-46e7-9d7a-b155460e546d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 3 (at temp. 25 C)\n", "0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n", "1: E + S <-> ES* (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n", "2: ES* <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'P', 'ES*', 'S', 'E'}\n" ] } ], "source": [ "chem_data.describe_reactions()" ] }, { "cell_type": "code", "execution_count": null, "id": "83580347-c7aa-4ac7-aafc-cc81b24de20a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "95749790-0ab6-4640-b525-4802dcaf9de3", "metadata": {}, "source": [ "19.53373 units of `S` are consumed : a meager 2.312829 of that goes into the production of `P` (rxn 0) ; the remainder of Delta S is:" ] }, { "cell_type": "code", "execution_count": 126, "id": "b7372ba6-8da7-4ee0-a888-d04baea7f4c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "17.220900999999998" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" } ], "source": [ "19.53373 - 2.312829" ] }, { "cell_type": "markdown", "id": "78d8e067-1704-44d8-8f10-a7888d44c277", "metadata": {}, "source": [ "That extra Delta S of 17.2209 combines with an equal amount of `E` to produce the same amount, 17.2209, of ES* (rxn 1) \n", "\n", "`E`, now depleted by that amount of 17.2209, reaches the value:" ] }, { "cell_type": "code", "execution_count": 127, "id": "271f073f-1e22-456b-825b-2acf555519c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "82.7791" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" } ], "source": [ "100 - 17.2209" ] }, { "cell_type": "code", "execution_count": 128, "id": "a1f87fde-d486-40ab-baee-b73b0abf9f6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: S <-> P\n", "Final concentrations: [S] = 0.4663 ; [P] = 2.313\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.96028\n", " Formula used: [P] / [S]\n", "2. Ratio of forward/reverse reaction rates: 5.00001\n", "Discrepancy between the two values: 0.7945 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: E + S <-> ES*\n", "Final concentrations: [E] = 82.78 ; [S] = 0.4663 ; [ES*] = 17.22\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 0.446167\n", " Formula used: [ES*] / ([E][S])\n", "2. Ratio of forward/reverse reaction rates: 0.446288\n", "Discrepancy between the two values: 0.027 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "2: ES* <-> E + P\n", "Final concentrations: [ES*] = 17.22 ; [E] = 82.78 ; [P] = 2.313\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 11.1175\n", " Formula used: ([E][P]) / [ES*]\n", "2. Ratio of forward/reverse reaction rates: 11.2035\n", "Discrepancy between the two values: 0.7677 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Also review that the chemical equilibrium holds, with the final simulation values\n", "dynamics.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "3c4cee2d-2d29-4666-b067-45a4cd9706b4", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "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 }