{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Ordinary differential equations: Conversion reaction\n", "====================================================" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "\n", "This example was kindly contributed by Lukas Sandmeir and Elba Raimundez. It can be downloaded here:\n", ":download:`Ordinary Differential Equations `." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Note: Before you use pyABC to parametrize your ODE, please be aware of potential errors introduced by inadequately representing the data generation process, see also the \"Measurement noise assessment\" notebook. For deterministic models, there are often more efficient alternatives to ABC, check out for example our tool pyPESTO.\n", "
" ] }, { "cell_type": "markdown", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "This example provides a model for the interconversion of two species \n", "($X_1$ and $X_2$) following first-order mass action kinetics with the \n", "parameters $\\Theta_1$ and $\\Theta_2$ respectively:\n", "\n", "\n", "$$\n", " X_1 \\rightarrow X_2, \\quad\\text{rate} = \\Theta_1 \\cdot [X_1]\n", "$$\n", "\n", "$$\n", " X_2 \\rightarrow X_1, \\quad\\text{rate} = \\Theta_2 \\cdot [X_2]\n", "$$\n", "\n", "Measurement of $[X_2]$ is provided as $Y = [X_2]$.\n", "\n", "We will show how to estimate $\\Theta_1$ and $\\Theta_2$ using pyABC." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# install if not done yet\n", "!pip install pyabc --quiet" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import os\n", "import tempfile\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy as sp\n", "\n", "from pyabc import ABCSMC, RV, Distribution, LocalTransition, MedianEpsilon\n", "from pyabc.visualization import plot_data_callback, plot_kde_2d\n", "\n", "db_path = \"sqlite:///\" + os.path.join(tempfile.gettempdir(), \"test.db\")" ] }, { "cell_type": "markdown", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Data\n", "----\n", "\n", "We use an artificial data set which consists of a vector of time points $t$\n", "and a measurement vector $Y$. This data was created using the parameter \n", "values which are assigned to $\\Theta_{\\text{true}}$ and by adding normaly distributed \n", "measurement noise with variance $\\sigma^2 = 0.015^2$. \n", "\n", "ODE model\n", "---------\n", "\n", "$$\n", " \\begin{align*}\n", " \\frac{dX_1}{dt} &= -\\Theta_1 \\cdot X_1 + \\Theta_2 \\cdot X_2\\\\\n", " \\frac{dX_2}{dt} &= \\Theta_1 \\cdot X_1 - \\Theta_2 \\cdot X_2\n", " \\end{align*}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the true parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "theta1_true, theta2_true = np.exp([-2.5, -2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the measurement data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "measurement_data = np.array(\n", " [\n", " 0.0244,\n", " 0.0842,\n", " 0.1208,\n", " 0.1724,\n", " 0.2315,\n", " 0.2634,\n", " 0.2831,\n", " 0.3084,\n", " 0.3079,\n", " 0.3097,\n", " 0.3324,\n", " ]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "as well as the time points at whith to evaluate" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "measurement_times = np.arange(len(measurement_data))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the initial conditions for $X_1$ and $X_2$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "init = np.array([1, 0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the ODE model" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def f(y, t0, theta1, theta2):\n", " x1, x2 = y\n", " dx1 = -theta1 * x1 + theta2 * x2\n", " dx2 = theta1 * x1 - theta2 * x2\n", " return dx1, dx2\n", "\n", "\n", "def model(pars):\n", " sol = sp.integrate.odeint(\n", " f, init, measurement_times, args=(pars[\"theta1\"], pars[\"theta2\"])\n", " )\n", " return {\"X_2\": sol[:, 1]}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Integration of the ODE model for the true parameter values" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "true_trajectory = model({\"theta1\": theta1_true, \"theta2\": theta2_true})[\"X_2\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize the results" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(true_trajectory, color=\"C0\", label='Simulation')\n", "plt.scatter(measurement_times, measurement_data, color=\"C1\", label='Data')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel('Measurement $Y$')\n", "plt.title('Conversion reaction: True parameters fit')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def distance(simulation, data):\n", " return np.absolute(data[\"X_2\"] - simulation[\"X_2\"]).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the prior for $\\Theta_1$ and $\\Theta_2$" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['theta1', 'theta2']" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "parameter_prior = Distribution(\n", " theta1=RV(\"uniform\", 0, 1), theta2=RV(\"uniform\", 0, 1)\n", ")\n", "parameter_prior.get_parameter_names()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ABC.Sampler INFO: Parallelize sampling on 4 processes.\n" ] } ], "source": [ "abc = ABCSMC(\n", " models=model,\n", " parameter_priors=parameter_prior,\n", " distance_function=distance,\n", " population_size=50,\n", " transitions=LocalTransition(k_fraction=0.3),\n", " eps=MedianEpsilon(500, median_multiplier=0.7),\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ABC.History INFO: Start \n" ] } ], "source": [ "abc.new(db_path, {\"X_2\": measurement_data});" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "ABC INFO: t: 0, eps: 5.00000000e+02.\n", "ABC INFO: Accepted: 50 / 53 = 9.4340e-01, ESS: 5.0000e+01.\n", "ABC INFO: t: 1, eps: 1.89305859e+00.\n", "ABC INFO: Accepted: 50 / 164 = 3.0488e-01, ESS: 4.4195e+01.\n", "ABC INFO: t: 2, eps: 9.64400074e-01.\n", "ABC INFO: Accepted: 50 / 159 = 3.1447e-01, ESS: 3.7093e+01.\n", "ABC INFO: t: 3, eps: 4.96905744e-01.\n", "ABC INFO: Accepted: 50 / 329 = 1.5198e-01, ESS: 3.5372e+01.\n", "ABC INFO: t: 4, eps: 2.94398923e-01.\n", "ABC INFO: Accepted: 50 / 448 = 1.1161e-01, ESS: 4.4592e+01.\n", "ABC INFO: Stop: Maximum number of generations.\n", "ABC.History INFO: Done \n" ] } ], "source": [ "h = abc.run(minimum_epsilon=0.1, max_nr_populations=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualization of the probability density functions for $\\Theta_1$ and $\\Theta_2$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 8))\n", "for t in range(h.max_t + 1):\n", " ax = fig.add_subplot(3, int(np.ceil(h.max_t / 3)), t + 1)\n", "\n", " ax = plot_kde_2d(\n", " *h.get_distribution(m=0, t=t),\n", " \"theta1\",\n", " \"theta2\",\n", " xmin=0,\n", " xmax=1,\n", " numx=200,\n", " ymin=0,\n", " ymax=1,\n", " numy=200,\n", " ax=ax,\n", " )\n", " ax.scatter(\n", " [theta1_true],\n", " [theta2_true],\n", " color=\"C1\",\n", " label=r'$\\Theta$ true = {:.3f}, {:.3f}'.format(\n", " theta1_true, theta2_true\n", " ),\n", " )\n", " ax.set_title(f\"Posterior t={t}\")\n", "\n", " ax.legend()\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the simulated trajectories:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, ax = plt.subplots()\n", "\n", "\n", "def plot_data(sum_stat, weight, ax, **kwargs):\n", " \"\"\"Plot a single trajectory\"\"\"\n", " ax.plot(measurement_times, sum_stat['X_2'], color='grey', alpha=0.1)\n", "\n", "\n", "def plot_mean(sum_stats, weights, ax, **kwargs):\n", " \"\"\"Plot mean over all samples\"\"\"\n", " weights = np.array(weights)\n", " weights /= weights.sum()\n", " data = np.array([sum_stat['X_2'] for sum_stat in sum_stats])\n", " mean = (data * weights.reshape((-1, 1))).sum(axis=0)\n", " ax.plot(measurement_times, mean, color='C2', label='Sample mean')\n", "\n", "\n", "ax = plot_data_callback(h, plot_data, plot_mean, ax=ax)\n", "\n", "plt.plot(true_trajectory, color=\"C0\", label='Simulation')\n", "plt.scatter(measurement_times, measurement_data, color=\"C1\", label='Data')\n", "plt.xlabel('Time $t$')\n", "plt.ylabel('Measurement $Y$')\n", "plt.title('Conversion reaction: Simulated data fit')\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }