{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Modelling an enzymatic reaction with Michaelis-Menten kinetics" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy\n", "import pandas\n", "import scipy\n", "from matplotlib import pyplot\n", "from IPython.display import display\n", "\n", "import calibr8\n", "import murefi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overview: Fitting with `calibr8` and `murefi`\n", "Let's assume that you want to model the [Michaelis-Menten kinetics](https://en.wikipedia.org/wiki/Michaelis%E2%80%93Menten_kinetics) of an enzymatic assay for estimating the enzymatic activity ($v_{max}$). For this toy example, let's assume that we measured the reaction product $P$ by absorbance at a wavelength of 570 nm.\n", "\n", "For the analysis, you need...\n", "\n", "1. [`calibr8` calibration model](htps://calibr8.readthedocs.io) of the $P$ vs. $A_{570}$ correlation\n", "2. Correlation data for $P\\ [mmol/L]$ vs. measurement readout $A_{570}\\ [a.u.]$\n", "3. `murefi` ODE model of Michaelis-Menten kinetics\n", "4. Kinetic data of product accumulation (vectors of $t$ and $A_{570}$)\n", "\n", "⚠ About 75 % of the code in this example is for preparing fake data. ⚠" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preparing Data & Models\n", "### 1. & 2. Calibration model of product concentration\n", "Because this part is shown in examples for `calibr8`, everything is condensed into one cell." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "class ProductAssayModel(calibr8.BasePolynomialModelT):\n", " def __init__(self):\n", " super().__init__(\n", " independent_key='P',\n", " dependent_key='A570',\n", " mu_degree=1,\n", " scale_degree=0,\n", " )\n", " \n", "def observe_with_true_parameters(x):\n", " return scipy.stats.t.rvs(loc=0.17 + 0.12 * x, scale=0.03, df=3)\n", "\n", "# generate fake calibration data with a linear relationship\n", "numpy.random.seed(202103)\n", "N = 48\n", "X = numpy.linspace(0.1, 10, N)\n", "Y = observe_with_true_parameters(X)\n", "\n", "cm_product = ProductAssayModel()\n", "theta_fit, _ = calibr8.fit_scipy(\n", " cm_product,\n", " independent=X, dependent=Y,\n", " theta_guess=[0, 0.2, 0.05, 5],\n", " theta_bounds=[(-2, 2), (0.001, 0.5), (0.001, 0.5), (1, 10)]\n", ")\n", "fig, axs = calibr8.plot_model(cm_product);\n", "for ax in axs:\n", " ax.set_xlabel('product concentration [mmol/L]')\n", "axs[0].set_ylabel('$A_{570}$ [a.u.]')\n", "axs[1].set_ylabel(\"\")\n", "axs[0].set_ylim(bottom=0)\n", "axs[1].set_ylim(bottom=0)\n", "fig.tight_layout()\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. ODE Model of enzyme kinetics\n", "To describe the kinetics of our enzyme of interest, we'll use the ODEs of the Michaelis-Menten kinetics:\n", "\n", "$$\\frac{dP}{dt}= v_{max} \\cdot \\frac{S}{K_S+S}$$\n", "\n", "$$\\frac{dS}{dt}=-\\frac{dP}{dt}$$\n", "\n", "For our data analysis we'll have to implement it with `murefi`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "class MichaelisMentenModel(murefi.BaseODEModel):\n", " def __init__(self):\n", " self.guesses = dict(S_0=5, P_0=0, v_max=0.1, K_S=1)\n", " self.bounds = dict(\n", " S_0=(1, 20),\n", " P_0=(0, 10),\n", " v_max=(0.0001, 5),\n", " K_S=(0.01, 10),\n", " )\n", " super().__init__(\n", " independent_keys=['S', 'P'],\n", " parameter_names=[\"S_0\", \"P_0\", \"v_max\", \"K_S\"],\n", " )\n", "\n", " def dydt(self, y, t, theta):\n", " S, P = y\n", " v_max, K_S = theta\n", " \n", " dPdt = v_max * S / (K_S + S) \n", " return [\n", " -dPdt,\n", " dPdt,\n", " ]\n", " \n", "model = MichaelisMentenModel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. Data of enzymatic reaction\n", "Because this is an example notebook, we'll have to fake our data...\n", "This can be done by\n", "1. simulating a trajectory with our `model` and\n", "2. using the `observe_with_true_parameters` function to make noisy observations of the product concentrations with the ground truth $A_{570}$/$P$ relationship" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generate ground truth data at 10 time points\n", "theta_true = (8, 0, 0.16, 2.5)\n", "rep_groundtruth = model.predict_replicate(\n", " # S_0, P_0, v_max, K_S\n", " parameters=theta_true,\n", " template=murefi.Replicate.make_template(tmin=0, tmax=180, independent_keys='SP', rid='A01', N=10)\n", ")\n", "\n", "# use error model to make noisy observations of the ground truth\n", "rep_observed = murefi.Replicate(rid='A01')\n", "rep_observed['A570'] = murefi.Timeseries(\n", " t=rep_groundtruth['P'].t,\n", " y=observe_with_true_parameters(rep_groundtruth['P'].y),\n", " independent_key='P',\n", " dependent_key='A570'\n", ")\n", "\n", "# pack generated data into Dataset\n", "dataset = murefi.Dataset()\n", "dataset[rep_observed.rid] = rep_observed\n", "\n", "\n", "fig, ax = pyplot.subplots(dpi=90)\n", "ax.scatter(rep_observed['A570'].t, rep_observed['A570'].y, label='observations')\n", "# use error model to project groundtruth onto dependent variable axis\n", "ax.plot(rep_observed['A570'].t, cm_product.predict_dependent(rep_groundtruth[\"P\"].y)[0], label='ground truth')\n", "ax.set(xlabel='time [s]', ylabel='$A_{570}$ [a.u.]')\n", "ax.legend()\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation of model parameters\n", "With `murefi`, one can fit an entire dataset while sharing parameters across replicates. The sharing of parameters is achieved via a data structure called `ParameterMapping`.\n", "\n", "The `ParameterMapping` is created from a table that maps each replicate in the dataset to a vector of parameters. Parameters that shall remain fixed are set as `float` while flexible parameters are identified by a `str`.\n", "\n", "Here, we have just one replicate, so the `ParameterMapping` remains simple:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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S_0P_0v_maxK_S
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" ], "text/plain": [ " S_0 P_0 v_max K_S\n", "rid \n", "A01 8.0 P_0 v_max K_S" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "ParameterMapping(1 replicates, 4 inputs, 3 free parameters)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_mapping = pandas.DataFrame(columns='rid,S_0,P_0,v_max,K_S'.split(',')).set_index('rid')\n", "# we'll fix S_0=8.0 and fit only the remaining parameters\n", "df_mapping.loc['A01'] = (8.0, 'P_0', 'v_max', 'K_S')\n", "\n", "# create the ParameterMapping object\n", "pm = murefi.ParameterMapping(\n", " df_mapping,\n", " guesses=model.guesses, # fed as dict where the key is the name of the parameter\n", " bounds=model.bounds # same as guesses\n", ")\n", "display(pm.as_dataframe())\n", "display(pm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `ParameterMapping` object `pm` can now be used to create an optimization objective for a `Dataset` & given a `ParameterMapping`.\n", "To connect model predictions with data, it requires a list of `calibr8.CalibrationModel`.\n", "\n", "Without a calibration model, the data will not contribute to the fit!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective at initial guess: -9.793625758398255\n" ] } ], "source": [ "obj = murefi.objectives.for_dataset(\n", " dataset,\n", " model,\n", " pm,\n", " # no need for a substrate calibration model, because there's no data\n", " calibration_models=[cm_product]\n", ")\n", "\n", "# The objective function can be evaluated at the initial guess to see if everything works as expected:\n", "print(f'Objective at initial guess: {obj(pm.guesses)}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the model can be fitted with `scipy.optimize.minimize`.\n", "\n", "If fitting does not work, check the following most common problems:\n", "- objective could evaluate to `nan` (check this with `objective(pm.guesses)`)\n", "- initial guesses might be too unrealistic\n", "- bounds may be too open (invalid predictions, hard to find the optimum)\n", "- bounds may be too restrictive (fit hits the bound)\n", "- bounds may be unrealistic (e.g. not preventing negative $K_S$)\n", "- calibration models using the $Normal$ distribution often cause numerical problems" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " fun: -13.103571329566996\n", " hess_inv: <3x3 LbfgsInvHessProduct with dtype=float64>\n", " jac: array([-1.38555834e-05, 1.84721536e+01, 4.38937775e-04])\n", " message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n", " nfev: 168\n", " nit: 23\n", " njev: 42\n", " status: 0\n", " success: True\n", " x: array([1.54038219, 0. , 0.13220258])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_fit = scipy.optimize.minimize(\n", " obj,\n", " pm.guesses,\n", " bounds=pm.bounds\n", ")\n", "model_fit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the optimization result\n", "To visualize the result, we'll use the `ParameterMapping.repmap` method to transform the global parameter vector (3 entries) into a parameter vector for our model (4 entries).\n", "This is necessary because the global one has a different order and is missing parameters that were fixed.\n", "\n", "Then, we can make a high-density prediction using our model:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# first make a high-density prediction\n", "rep_fit = model.predict_replicate(\n", " parameters=pm.repmap(model_fit.x)['A01'],\n", " template=murefi.Replicate.make_template(tmin=0, tmax=180, independent_keys='SP')\n", ")\n", "\n", "fig, ax = pyplot.subplots(dpi=90)\n", "colors = dict(P='blue', S='orange')\n", "\n", "# plot data, transformed via the error model into the independent unit\n", "t_obs = rep_observed['A570'].t\n", "y_obs = cm_product.predict_independent(rep_observed['A570'].y)\n", "ax.scatter(t_obs, y_obs, label='observations',color=colors['P'])\n", "\n", "# plot all timeseries of the fit\n", "for ykey, ts in reversed(rep_fit.items()):\n", " ax.plot(ts.t, ts.y, label=ykey, color=colors[ykey])\n", " \n", "# plot all timeseries of the groundtruth for comparison\n", "for ykey, ts in reversed(rep_groundtruth.items()):\n", " ax.plot(ts.t, ts.y, label=ykey + ' (true)', linestyle=':', color=colors[ykey])\n", "\n", "ax.set_xlabel('time [s]')\n", "ax.set_ylabel('P, S [mmol/L]')\n", "ax.legend()\n", "pyplot.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Mon Mar 29 2021\n", "\n", "Python implementation: CPython\n", "Python version : 3.7.9\n", "IPython version : 7.19.0\n", "\n", "murefi : 5.0.0\n", "scipy : 1.5.2\n", "matplotlib: 3.3.2\n", "numpy : 1.19.2\n", "pandas : 1.2.1\n", "calibr8 : 6.0.0\n", "\n", "Watermark: 2.2.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 2 }