diff --git a/experimental_design/ExperimentalDesign.ipynb b/experimental_design/ExperimentalDesign.ipynb new file mode 100644 index 0000000..b834151 --- /dev/null +++ b/experimental_design/ExperimentalDesign.ipynb @@ -0,0 +1,965 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "import cPickle\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "from pymbar import timeseries\n", + "from assaytools import pymcmodels\n", + "from assaytools.bindingmodels import TwoComponentBindingModel\n", + "\n", + "# The functions this notebook will demonstrate\n", + "from assay_simulator import AssaySimulator, predict_assay_error" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "# Estimating optimal protein concentrations for p38-Bosutinib\n", + "### Demonstrating how `AssaySimulator` can be used to simulate fluorescence data\n", + "\n", + "The `AssaySimulator` is a simple class that takes the output data from the `assaytools` PyMC modelling and is able to simulate fluorescence data for the same complex under different conditions, such as protein concentration. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "Loading the pymc MCMC parameter samples for `assaytools`." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2017-06-02 17:09:29.177875'" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from datetime import datetime\n", + "str(datetime.now())" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "data_file = 'p38-Bosutinib Isomer-CD_mcmc-2017-03-24 11:54.pickle'\n", + "with open(r'%s'%data_file,'rb') as my_file:\n", + " data = cPickle.load(my_file)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "#### Time series analysis to determine burn-in point.\n", + "Using the model's estimated free energy to identify the equilibrium point." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Expected free energy = -11.358997462 (thermal units)\n" + ] + } + ], + "source": [ + "DeltaG_samples = data['DeltaG'][0]\n", + "(t_equil, g, N_eff) = timeseries.detectEquilibration(DeltaG_samples, fast=True, nskip=1)\n", + "\n", + "# Seeing the mean of the free energy\n", + "mean_DeltaG = np.mean(DeltaG_samples[t_equil:])\n", + "print('Expected free energy = {0} (thermal units)'.format(mean_DeltaG))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "## Plotting fluorescence for different protein concentrations\n", + "Example of using the class `AssaySimulator` to draw possible fluorescence data." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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RiYCvr6/yt56eHh4eHgWG2/LLuzvp1q1byrFy5MiRYo+vN4lMBF5z1atXx8/PDz8/P7Ky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\nYPc1EggIIUQftWvHET77+DAAg4dmc9q0wi6ukegKEggIIUQfVFsdYv1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y8ib3TeUCOO98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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Ligand and protein concentrations\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "P_total = 1.0e-6* np.ones([12],np.float64)\n", + "\n", + "# Initialize the class using assaytools PyMC data:\n", + "sim_assay = AssaySimulator(pymc_data=data, l_total=L_total, inner_filter=True)\n", + "\n", + "# By default, assaytools parameters are drawn from the posterior. Setting the parameters to their mean values:\n", + "sim_assay.set_mean_parameters(data, t_equil)\n", + "\n", + "# Plotting fluorescence for protein concentrations using the mean assaytools parameters\n", + "for p in [10E-9, 10E-8, 10E-7, 10E-6, ]:\n", + " F = sim_assay.simulate_fluorescence(p_total=p* np.ones([12],np.float64), noisy=True)\n", + " plt.semilogx(L_total, F, label=\"{0} M\".format(p), lw=2.5)\n", + "\n", + "plt.title('Simulated fluorescence data for p38-Bosutinib at \\n different protein concentrations', fontsize=16)\n", + "plt.xlabel('Ligand concetration (M)', fontsize=16)\n", + "plt.ylabel('Fluorescence', fontsize=16)\n", + "plt.legend(fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "## Plotting fluorescence for different binding energies\n", + "### The inner filter effect is active" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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Bu7t7ieW24hTtToqPj5fHyvnz58sdX+8SQhF4w6lduzbe3t54e3uTl5fHDz/8wNy5c1mz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stz2d1ygFjaiMLfOGv0qwFaPEb4I2NbwblsBYrDOe5xHv+ohe4OQ99g5bpZOFwze1YdC9XS2fAS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\nh9ZhtLYMa/8OFhcXk5qaejpCbPdaW4bbtm3j7bffp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fbZn7W/0+nkyiuvZM2aNfIFVyKs\nJBEQQgghOjHpGhBCCCE6MUkEhBBCiE5MEgEhhBCiE5NEQAghhOjEJBEQQgghOrH/B827elye6sID\nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Ligand and protein concentrations\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "P_total = 1E-6 \n", + "\n", + "# Initialize the class\n", + "sim_assay = AssaySimulator(pymc_data=data, l_total=L_total, inner_filter=True)\n", + "sim_assay.set_mean_parameters(data, t_equil)\n", + "\n", + "# Plotting fluorescence for binding energies using the mean assaytools parameters\n", + "for g in np.linspace(-17,-11,6):\n", + " F = sim_assay.simulate_fluorescence(p_total=P_total* np.ones([12],np.float64),DeltaG=g, noisy=True)\n", + " plt.semilogx(L_total, F, label=\"{0} kT\".format(g), lw=2.5)\n", + "\n", + "plt.title('Simulated fluorescence data for p38-Bosutinib at \\n different binding free energies', fontsize=16)\n", + "plt.xlabel('Ligand concetration (M)', fontsize=16)\n", + "plt.ylabel('Fluorescence', fontsize=16)\n", + "plt.legend(fontsize=16) \n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "### The inner filter effect is inactive" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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zVZRVq1bRqlUr7OzsaNeunTwvAfz7eGb37t34+/vj6OhIkyZNWLRokVoezyvf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\nEIS72H8BGEtZXm0GymsAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Ligand and protein concentrations\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "P_total = 1E-6\n", + "\n", + "# Initialize the class without the inner filter effect\n", + "sim_assay = AssaySimulator(pymc_data=data, l_total=L_total, inner_filter=False)\n", + "sim_assay.set_mean_parameters(data, t_equil)\n", + "\n", + "# Plotting fluorescence for binding energies using the mean assaytools parameters\n", + "for g in np.linspace(-17,-11,6):\n", + " F = sim_assay.simulate_fluorescence(p_total=P_total* np.ones([12],np.float64),DeltaG=g, noisy=True)\n", + " plt.semilogx(L_total, F, label=\"{0} kT\".format(g), lw=2.5)\n", + "\n", + "plt.title('Simulated fluorescence data for p38-Bosutinib at \\n different binding free energies', fontsize=16)\n", + "plt.xlabel('Ligand concetration (M)', fontsize=16)\n", + "plt.ylabel('Fluorescence', fontsize=16)\n", + "plt.legend(fontsize=16) \n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "## Generating error distributions for fixed assay conditions\n", + "For given set of assay paramters, one can estimate the error distribution of the fitted $\\Delta G$s upon may repeats of a fluorescence experiment with the function `generate_deltag_estimates()`. Given fixed parameters, `generate_deltag_estimates()` will draw multiple sets of fluorescence titration data, each with different amounts of random noise added. For each draw, the binding free energy is estimated using least squares regression. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "# The ligand and protein concentrations used:\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "P_total = 1E-6\n", + "\n", + "# Initializing the AssaySimulator:\n", + "sim_assay = AssaySimulator(pymc_data=data, l_total=L_total, p_total=P_total* np.ones([12],np.float64), inner_filter=False)\n", + "\n", + "# Setting the mean values of the parameters:\n", + "sim_assay.set_mean_parameters(pymc_data=data, t_equil=t_equil)\n", + "\n", + "# Generate fitted binding free energies by least-squares fitting\n", + "estimates, intensities = sim_assay.generate_deltag_estimates(nsamples=1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "Plotting the estimates spread of the estimates:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hist, edges = np.histogram(estimates, bins=20, normed=True)\n", + "centers = edges[0:-1] + np.diff(edges) / 2.0\n", + "\n", + "plt.bar(centers, hist, width=0.01)\n", + "plt.xlabel('Estimated free energy (unitless)', fontsize=16)\n", + "plt.ylabel('Frequency', fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plotting each of the intensities corresponding to the above histogram." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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N645tWHdsw9rT6XT4/vtfZGX13Yb3Syz0OjTwww8/YMOGDQCAli1bQqFQwMHB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(intensities.shape[0]):\n", + " plt.semilogx(L_total,intensities[i,:], color='black', alpha=0.01, lw=1)\n", + "\n", + "plt.title('Simulated fluorescence data for p38-Bosutinib', fontsize=16)\n", + "plt.xlabel('Ligand concetration (M)', fontsize=16)\n", + "plt.ylabel('Fluorescence', fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "In the next cell, I'll generate the estimate distributions for different protein concentrations." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "#nsamples = 3000\n", + "nsamples = 1000\n", + "protein_concentrations = np.array([0.5E-6, 1E-6, 5E-6])\n", + "estimates = np.zeros((len(protein_concentrations), nsamples))\n", + "\n", + "for i in range(len(protein_concentrations)):\n", + " sim_assay = AssaySimulator(pymc_data=data, l_total=L_total, p_total=protein_concentrations[i]* np.ones([12],np.float64), inner_filter=False)\n", + " sim_assay.set_mean_parameters(pymc_data=data, t_equil=t_equil)\n", + " estimates[i,:], intensities = sim_assay.generate_deltag_estimates(nsamples)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "Here's an example plot of the estimated posterior densities when the assay is performated at different protein concentrations." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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kxYoVZG9vz7s/WVlZ5ODgQCtWrCCiCoUuEokoJiaGS/PXX3+RSCSi2NhYIiLy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\nTEyMGGe7FDdu3ODs2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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "cols = sns.color_palette(\"deep\", 3)\n", + "\n", + "for i in range(len(protein_concentrations)):\n", + " hist, edges = np.histogram(estimates[i,:], bins=20, normed=True)\n", + " hist = hist/hist.max()\n", + " centers = edges[0:-1] + np.diff(edges) / 2.0\n", + " if i !=2:\n", + " plt.plot(centers, hist, lw=3, ls='--', color=cols[i], label=\"{} $\\mu$M\".format(protein_concentrations[i]*1.0E6))\n", + " else: \n", + " plt.bar(centers, hist, width=0.01, color=cols[i], label=\"{} $\\mu$M\".format(protein_concentrations[i]*1.0E6))\n", + "\n", + "plt.legend(fontsize=15)\n", + "plt.title('Predicted posterior free energy density at \\n different protein concentrations', fontsize=16)\n", + "plt.xlabel('Binding free energy (unitless)', fontsize=16)\n", + "plt.ylabel('Density relative to maximum', fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "In the above, each distribution has been scaled to it's maximum value." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "## Varying the protein concentration to minimize the coefficient of variation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "The above example explores how different protein concentrations affects the distribution of free energy estimates. In this next section, a more systematic approach is taken to finding the protein cocenctration produces the most consistent concentrations.\n", + "\n", + "For a given protein concentration, parameter samples will be drawn from the posterior, fluorenscence data will be simulated, and the affinity estimated via least squares minimization. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "# The ligand concentrations used in the assay\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "\n", + "# The protein concentrations over which the coefficient of variation will be estimated\n", + "P_totals =10 ** (np.linspace(-10, -1, num=20))\n", + "\n", + "# Number of times the fitting procedure will occur\n", + "nposterior_samples = 5 # The number of parameter draws from the posterior\n", + "nsamples = 20 # The number of repeated fluorescence draws for each posterior sample\n", + "\n", + "# Predict the coeffecient of variation, variance and bias for the ligand and protein concentrations \n", + "(CV, Var, Bias2) = predict_assay_error(data, L_total, P_totals, nsamples=nsamples, nposterior_samples=nposterior_samples, t_equil=t_equil, inner_filter=True, geometry='top')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "### Plotting the coefficient of variation as function of protein concentration\n", + "\n", + "The coefficient of variation (CV) is relative standard deviation of the estimated free energy, and is given by\n", + "\n", + "$$ CV = \\frac{\\sigma_{\\Delta G}}{|\\Delta G|} $$\n", + "\n", + "where $\\sigma_{\\Delta G}$ is the standard deviation. Below plots how this varies with protein concentration." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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LlbKystDFXmX++usvdO7cGZ07d672/aqqqnj27FmF5SkpKRUSc22oqqqiqKgI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\n8uWaDoMQQgjROVpblieEEEJIx1ByJ4QQQvQMJXdCCCFEz1ByJ4QQQvQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.semilogx(P_totals, CV, lw=3) \n", + "plt.title('Estimated coefficient of variation as a \\n function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Coefficient of variation (%)', fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "This suggest that lowest variance in the estimates will occur at roughly 1$\\mu$M of protein. Another measure of predictive accuracy is the total error, where \n", + "\n", + "$$ \\text{Total Error}(\\Delta G) = \\text{Bias}(\\Delta G)^2 + \\text{Variance}(\\Delta G) $$\n", + "\n", + "and find which protein concentration minimizes this quantity." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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VdpXnQHmFpfA/EoXM3GKpxEMIIYSIotm9CqejowMvLy94enpi+vTp8PX1Fbpt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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "relative_total_error = np.sqrt(Bias2 + Var)/np.abs(mean_DeltaG)\n", + "plt.semilogx(P_totals, relative_total_error * 100, lw=3) \n", + "plt.title('Estimated total error as a function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Relative total error (%)', fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "This suggests the protein concentration that produces free energies with the lowest variance is around 1$\\mu$M. This is more reasonable that what was suggested for the coefficient of variation." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "source": [ + "### Plotting the coefficent of variation as a function of protein AND ligand concentration " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "The above example looks at how the coefficient of variation varies as a function of protein concentration. However, this is for a pretty low affinity ligand. What happens if we look at a higher affinity ligand? Will our optimum protein concentration decrease?" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "# The ligand concentrations used in the assay\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "\n", + "# The protein concentrations over which the coefficient of variation will be estimated\n", + "P_totals =10 ** (np.linspace(-10, -1, num=20))\n", + "\n", + "# Number of times the fitting procedure will occur\n", + "nposterior_samples = 50 # The number of parameter draws from the posterior\n", + "nsamples = 50 # The number of repeated fluorescence draws for each posterior sample\n", + "\n", + "#Let's double check our predicted DeltaG gives us the same answer\n", + "DeltaG = -12.88\n", + "\n", + "# Predict the coeffecient of variation, variance and bias for the ligand and protein concentrations \n", + "(CV, Var, Bias2) = predict_assay_error(data, L_total, P_totals, DeltaG, nsamples, nposterior_samples, t_equil=t_equil, inner_filter=True, geometry='top')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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mJtIRq9Jff/0FIyMjGBkZ1bi/hoYGEhMTqy1PS0urloTrQkNDA2VlZcjOzhYp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uAAAB\nC0lEQVSAAN566y1+/PFH/vzzT0BTrXjuuef46quv+PPPP/nxxx9rHMPX15fVq1fz0UcfMXXqVCwt\nLYmOjuaTTz6ps6Oarvr27cu0adMoKCiosyd6z549sbS0JCYmps59AMrLy4mNjdWOmBDiTijUstqA\nEELcMZVKxYABA3j++ecZNmzYPR1r27ZtvPPOO+zcuRMbG5t6ilA0FnKNXAgh7oKlpSUTJ05k5cqV\ndfZu19Xy5ct58cUXJYmLuyKJXAgh7tI//vEP/P39tauf3Y0dO3agVCoZMWJEPUYmGhMprQshhBBm\nTFrkQgghhBmTRC6EEEKYMUnkQgghhBmTRC6EEEKYMUnkQgghhBn7/+vCPUARnUWhAAAAAElFTkSu\nQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.semilogx(P_totals, CV, lw=3) \n", + "plt.axvline(x=P_totals[CV.argmin()], ls = '--', label='%.2E (M)'%P_totals[CV.argmin()])\n", + "plt.title('Estimated coefficient of variation as a \\n function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Coefficient of variation (%)', fontsize=16)\n", + "plt.legend(fontsize=16)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "deletable": true, + "editable": true + }, + "source": [ + "Pretty close, now let's try multiple Delta G's." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "# The ligand concentrations used in the assay\n", + "L_total = 10 ** (np.linspace(-10, -5, num=12))\n", + "\n", + "# The protein concentrations over which the coefficient of variation will be estimated\n", + "P_totals =10 ** (np.linspace(-10, -1, num=40))\n", + "\n", + "# Number of times the fitting procedure will occur\n", + "nposterior_samples = 50 # The number of parameter draws from the posterior\n", + "nsamples = 50 # The number of repeated fluorescence draws for each posterior sample\n", + "\n", + "\n", + "#Let's double check our predicted DeltaG gives us the same answer\n", + "DeltaG_set = [-14.88,-13.88,-12.88,-11.88,-10.88]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "import matplotlib\n", + "colors = matplotlib.cm.ocean(np.linspace(0.1, 0.94, 5))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/hansons/anaconda2/lib/python2.7/site-packages/scipy/optimize/optimize.py:964: RuntimeWarning: divide by zero encountered in double_scalars\n", + " rhok = 1.0 / (numpy.dot(yk, sk))\n" + ] + }, + { + "data": { + "image/png": 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jGTbsK43rc+bMxNzcPMf1J0+e4O39HUIIzM3NmTp1JkZGRuzdu5tNm3zR0dGl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\nud+dj3b/j9sZiQD4uNbn8Gs7cbTVWLSvUqGkvos39V286dIIToRc4rv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yUSq4qhWJddag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\nZ2czaNAg7r///vqeUpMkMTGRZcuWkZ+fz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "CV_dict = {}\n", + "Var_dict = {}\n", + "Bias2_dict = {}\n", + "relative_total_error_dict = {}\n", + "\n", + "for i,DeltaG in enumerate(DeltaG_set):\n", + " (CV, Var, Bias2) = predict_assay_error(data, L_total, P_totals, DeltaG, nsamples, nposterior_samples, t_equil=t_equil, inner_filter=True, geometry='top')\n", + " relative_total_error = np.sqrt(Bias2 + Var)/np.abs(mean_DeltaG)\n", + " CV_dict['%s'%DeltaG] = CV\n", + " Var_dict['%s'%DeltaG] = Var\n", + " Bias2_dict['%s'%DeltaG]= Bias2\n", + " relative_total_error_dict['%s'%DeltaG] = relative_total_error\n", + " plt.semilogx(P_totals, relative_total_error * 100, lw=3, color=colors[i]) \n", + " plt.axvline(x=P_totals[relative_total_error.argmin()], ls = '--', color=colors[i], label='DelG %s:optimum %.2E (M)'%(DeltaG,P_totals[relative_total_error.argmin()]))\n", + "\n", + "plt.title('Estimated total error as a function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Relative total error (%)', fontsize=16)\n", + "plt.legend()\n", + "plt.show()\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "#The coloring here is a little weird, let's plot with manually chosen colors" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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Ro0Ypf2hv3rzJn3/+qdOqeLpF0rRpUy5duoSdnR329vbY29tTu3ZtvvzySy5evEiDBg2w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dUOPP98G8b0l3PyUiFrd+dwNLrQcJ4bSToWrM9n0R/5hAZZ0zbYhrbNVDTyVSIrw+HV2wv6tRe5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\nX8aw4dw6CjQFkobdP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2dxmKtarTOJRwapnOPgjkaNa+XuArOLygTWM3rO/3XZ8k7VFlkF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\n5xIcHMzIkSPZvXs3YK/ynjJlCg8++CBz586lc+fOvPLKK6xfv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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plotting fluorescence for binding energies using the mean assaytools parameters\n", + "plt.semilogx(P_totals, CV_dict['-14.88'], lw=3, color='darkgreen',label='$\\Delta G$ = -14.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, CV_dict['-13.88'], lw=3, color='darkslategrey',label='$\\Delta G$ = -13.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, CV_dict['-12.88'], lw=3, color='navy',label='$\\Delta G$ = -12.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, CV_dict['-11.88'], lw=3, color='royalblue',label='$\\Delta G$ = -11.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, CV_dict['-10.88'], lw=3, color='cornflowerblue',label='$\\Delta G$ = -10.88 ($k_B T$)') \n", + "\n", + "plt.title('Estimated coefficient of variation as a \\n function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Coefficient of variation (%)', fontsize=16)\n", + "plt.ylim((-10,140))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "image/png": 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Hhxeb9rlz53jnnXe0zy1o7O3k5MS5c+eKdcPrw8nJiYYNG2p/d+jQASMjI86fP6+9VrVr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\nlZKCbHsSxEx1giA8AKy65968eXO+//57unTpYtn3Tw1+7dq1NGvWrGq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HF48etzxOy5fQ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\nv5aWFgCWL19uMb2hoQFHR0fg0dpnMrD+PT097Nq1i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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plotting fluorescence for binding energies using the mean assaytools parameters \n", + "plt.semilogx(P_totals, relative_total_error_dict['-14.88']* 100, lw=3, color='darkgreen',label='$\\Delta G$ = -14.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, relative_total_error_dict['-13.88']* 100, lw=3, color='darkslategrey',label='$\\Delta G$ = -13.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, relative_total_error_dict['-12.88']* 100, lw=3, color='navy',label='$\\Delta G$ = -12.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, relative_total_error_dict['-11.88']* 100, lw=3, color='royalblue',label='$\\Delta G$ = -11.88 ($k_B T$)') \n", + "plt.semilogx(P_totals, relative_total_error_dict['-10.88']* 100, lw=3, color='cornflowerblue',label='$\\Delta G$ = -10.88 ($k_B T$)') \n", + " \n", + "plt.title('Estimated total error as a function of protein concentration', fontsize=16)\n", + "plt.xlabel('Protein concentration (M)', fontsize=16)\n", + "plt.ylabel('Relative total error (%)', fontsize=16)\n", + "plt.ylim((-10,140))\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [ + "#Note if you want to save and load in the dictionaries using numpy do this:\n", + "# np.save('CV_dict.npy', CV_dict)\n", + "# np_CV_dict = np.load('CV_dict.npy')\n", + "# loaded_CV_dictionary = np_CV_dict.item()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "deletable": true, + "editable": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'2017-05-15 22:17:35.580512'" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Compare to time at top of the script to see how long this took to run.\n", + "str(datetime.now())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true, + "deletable": true, + "editable": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/experimental_design/assay_simulator.py b/experimental_design/assay_simulator.py new file mode 100644 index 0000000..1f5ff4c --- /dev/null +++ b/experimental_design/assay_simulator.py @@ -0,0 +1,293 @@ +import numpy as np +from scipy import optimize +from assaytools import pymcmodels +from assaytools.bindingmodels import TwoComponentBindingModel + + +class AssaySimulator(object): + """ + Class to predict fluorescence data using an AssayTools pymc model. Upon initialization of this class, fitted + fluorescence parameters from assaytools are generated. + + Example + ------- + Decide what concentrations of the ligand (in M) you would like to predict the fluorescence for. For instance: + >>> l_total = 10 ** (np.linspace(-10, -5, num=12)) + + Given PyMC simulation data from assaytools, initialize the class + >>> sim_assay = AssaySimulator(pymc_data=data, l_total=l_total, inner_filter=False) + + By default, if no sample_index is specified, assaytools parameters will be drawn from the PyMC posterior. If you'd + like the use the assaytools expectation values, then + >>> sim_assay.set_mean_parameters() + + Predict the fluorescence given the assaytools parameters. + >>> fluorescence = simulate_fluorescence() + + You can see how the fluorescence is expected to be at specific protein concentrations (in M) with + >>> fluorescence = simulate_fluorescence(p_total=10E-6) + + """ + def __init__(self, pymc_data, l_total, p_total=None, sample_index=None, inner_filter=True, geometry='top', + assay_volume=100E-6, well_area=0.3969): + """ + Parameters + ---------- + pymc_data: dict + Dictionary of assaytools pymc variables that have been sampled with MCMC. + l_total: numpy.ndarray + Array of ligand concentrations in M. + sample_index: int + The iteration number from which pymc model parameters will be selected. If None, a random draw will be made. + p_total: float + Concentration of the protein in M. + inner_filter: bool + Whether to account for the inner filter effect. + geometry: str + Where the fluorescence is measured. Either 'top' or 'bottom'. + assay_volume: float + The volume of each well. + well_area: float + The surface area of each well that is visible to the detector. + + """ + # Non pymc paramters + self.path_length = assay_volume * 1000 / well_area + self.inner_filter = inner_filter + self.geometry = geometry + + # Unpack the pymc parameters for a given MCMC iteration index. + if sample_index is None: + sample_index = np.random.choice(len(pymc_data['DeltaG'][0]), size=1) + + self.DeltaG = pymc_data['DeltaG'][0][sample_index] + self.l_total = l_total + if p_total is None: + self.p_total = pymc_data["Ptrue"][0][sample_index,:].mean() + else: + self.p_total = p_total + + # Pymc fluorescence parameters + self.F_buffer = pymc_data['F_buffer'][0][sample_index] + self.F_plate = pymc_data['F_plate'][0][sample_index] + self.F_PL = pymc_data['F_PL'][0][sample_index] + self.F_L = pymc_data['F_L'][0][sample_index] + self.F_P = pymc_data['F_P'][0][sample_index] + + if self.inner_filter: + epsilon_em = pymc_data['epsilon_em'][0][sample_index] + epsilon_ex = pymc_data['epsilon_ex'][0][sample_index] + self.IF_i = pymcmodels.inner_filter_effect_attenuation(epsilon_ex, epsilon_em, self.path_length, self.l_total, self.geometry) + self.IF_i_plate = np.exp(-epsilon_ex * self.path_length * self.l_total) + + # Select the parameters for the noise based on where the fluorescence was taken + if self.geometry == 'top': + self.sigma = pymc_data['sigma_top'][0][sample_index] + else: + self.sigma = pymc_data['sigma_bottom'][0][sample_index] + + def set_mean_parameters(self, pymc_data, t_equil=0): + """ + Set the assaytools parameters to their expectation values, with the exception of p_total and l_total. + + Parameters + ----------- + pymc_data: dict + Dictionary of assaytools pymc variables that have been simulated. + t_equil: int + The iteration number from which the pymc MCMC samples are considered "equilibrated". i.e. the end of the + burn-in period. + """ + self.DeltaG = np.mean(pymc_data['DeltaG'][0][t_equil:]) + + # Pymc fluorescence parameters + self.F_buffer = np.mean(pymc_data['F_buffer'][0][t_equil:]) + self.F_plate = np.mean(pymc_data['F_plate'][0][t_equil:]) + self.F_PL = np.mean(pymc_data['F_PL'][0][t_equil:]) + self.F_L = np.mean(pymc_data['F_L'][0][t_equil:]) + self.F_P = np.mean(pymc_data['F_P'][0][t_equil:]) + + if self.inner_filter: + epsilon_em = np.mean(pymc_data['epsilon_em'][0][t_equil:]) + epsilon_ex = np.mean(pymc_data['epsilon_ex'][0][t_equil:]) + self.IF_i = pymcmodels.inner_filter_effect_attenuation(epsilon_ex, epsilon_em, self.path_length, self.l_total, self.geometry) + self.IF_i_plate = np.exp(-epsilon_ex * self.path_length * self.l_total) + + # Select the parameters for the noise based on where the fluorescence was taken + if self.geometry == 'top': + self.sigma = np.mean(pymc_data['sigma_top'][0][t_equil:]) + else: + self.sigma = np.mean(pymc_data['sigma_bottom'][0][t_equil:]) + + def simulate_fluorescence(self, DeltaG=None, p_total=None, noisy=True): + """ + Predict the fluorescence of the complex using AssayTools posterior for a given protein concentration + and range of ligand concentrations. + + Parameters + ---------- + DeltaG: float + The binding free energy in thermal units. + p_total: float + Concentration of protein in M. + noisy: bool + Whether to add detector noise to the predicted fluorescence. + + Returns + -------- + Fmodel: numpy.ndarray + The expected fluorescence given the supplied model parameters + """ + if p_total is None: + p_total = self.p_total + if DeltaG is None: + DeltaG = self.DeltaG + + # Predict the concentrations of the complex, free protein and free ligand + [P_free, L_free, PL] = TwoComponentBindingModel.equilibrium_concentrations(DeltaG, p_total, self.l_total) + + # Model the fluorescence + if self.inner_filter: + Fmodel = self.IF_i * (self.F_PL * PL + self.F_L * L_free + self.F_P * P_free + self.F_buffer * self.path_length) + self.IF_i_plate * self.F_plate + if noisy: + Fmodel += np.random.normal(loc=0.0, scale=self.sigma, size=len(self.l_total)) + else: + Fmodel = self.F_PL * PL + self.F_L * L_free + self.F_P * P_free + self.F_buffer * self.path_length + self.F_plate + if noisy: + Fmodel += np.random.normal(loc=0.0, scale=self.sigma, size=len(self.l_total)) + + return Fmodel + + def generate_deltag_estimates(self, nsamples=100): + """ + Generate samples of fitter DeltaGs. This function draws multiple sets of fluorescence titration data, each with + different amounts of random noise added. For draw,the binding free energy is estimated using least squares + regression. + + Parameters + ---------- + nsamples: int + The number of fluorescence data draws + + Returns + ------- + estimates: numpy.ndarray + Binding free energies estimates, where each has been fitted using least squares regression + intensities: numpy.ndarray + The fluorescence intensities that have been fitted to + + """ + intensities = np.zeros((nsamples,len(self.l_total))) + estimates = np.zeros(nsamples) + for sample in range(nsamples): + # The fluorescence data that will be fit to. Random noise is added the fluorescence data with noisy=True. + intensity = self.simulate_fluorescence(noisy=True) + + def sum_of_squares(g): + """ + The sum of squares between model fluorescence and the target + """ + guess = self.simulate_fluorescence(DeltaG=g, noisy=False) + return np.sum((guess - intensity) ** 2) + + # The initial guess within about 10% of the "true" value + #initial_guess = self.DeltaG + np.random.normal(loc=0, scale=0.1 * np.abs(self.DeltaG)) + initial_guess = self.DeltaG + fit = optimize.minimize(sum_of_squares, initial_guess, method='BFGS', options={'gtol':1E-4}) + + # Save estimated free energies and intensities + estimates[sample] = fit.x[0] + intensities[sample,:] = intensity + + return estimates, intensities + + +def predict_assay_error(pymc_data, l_total, p_total, DeltaG=None, nsamples=10, nposterior_samples=100, t_equil=0, **kwargs): + """ + Function to predict the expected coefficient of variation, variance, and squared bias of estimated binding free + energies from assaytools PyMC data at different protein and ligand concentrations. + + Parameters + ---------- + pymc_data: dict + Dictionary of assaytools pymc variables that have been sampled with MCMC. + DeltaG: float + The binding free energy in thermal units. + l_total: float or numpy.ndarray + Array of ligand concentrations in M. + p_total: float or numpy.ndarray + Array of protein concentrations in M. + nsamples: int + The number of times fluorescence data will be drawn at all ligand concentrations for a given PyMC posterior + sample. + nposterior_samples: + The number of assaytools posterior samples to draw. For each posterior sample, nsamples of fluorescence + titration profiles will be drawn. + t_equil: int + The index from which it the assaytools PyMC MCMC samples are equilibrated. i.e. the end of the burnin-period. + + Returns + ------- + (cv, var, bias): (np.ndarray, np.ndarray, np.ndarray) + the mean coefficien of variation (cv), variance (var) and bias of the fitted free energy for each protein + concentration. + + Example + ------- + Run the assaytools PyMC pipeline and save the MCMC samples, here called 'pymc_data'. It's worth discarding the + initial samples where the MCMC appears unequilibrated. The end of the burn-in time can be estimated with + pymbar.timeseries by looking at trace of the free energy: + >>> from pymbar import timeseries + >>> (t_equil, g, N_eff) = timeseries.detectEquilibration(pymc_data['DeltaG'][0], fast=True, nskip=1) + We'll be using t_equil below. + + We can now estimate how the protein concentration used in the assay will affect the coefficient of variation, + variance, and bias of the fitted free energy. + + First, choose the ligand concentrations that can be used in the assay: + >>> L_total = 10 ** (np.linspace(-10, -5, num=12)) + + Next, pick the range of protein concentrations for which the error of the binding free energy will be estimated: + >>> P_totals =10 ** (np.linspace(-10, -1, num=20)) + + Estimating the variance error meaures for the above concentrations. Note how we're inputing the burn-in time, as + well parsing the assay parameters. + >>> (CV, Var, Bias2) = predict_assay_error(pymc_data, L_total, P_totals, t_equil=t_equil, geometry='top', + >>> assay_volume=100E-6, well_area=0.3969) + + Finally, it's a question of picking the protein concentration that reduces whichever metric you prefer. + """ + # Pre-assigning the coefficient of variation, the bias, and variance respectively. + CV = [] + Bias2 = [] + Var = [] + + delta_gs = pymc_data['DeltaG'][0] # All of the binding free energy samples + pymc_indices = range(t_equil, len(delta_gs)) # The indices of the PyMC samples that are after the burn-in period: + + if DeltaG is None: + DeltaG = np.mean(delta_gs) # Used to determine the coefficient of variation. + + mean_delta_g = DeltaG + + # Looping over protein concentrations, drawing from the posterior and fitting the affinity: + for p in range(len(p_total)): + estimates = [] + bias_squared = [] + # Draw parameters from the posterior + for i in range(nposterior_samples): + ind = np.random.choice(pymc_indices,1)[0] + simulator = AssaySimulator(pymc_data=pymc_data, l_total=l_total, sample_index=ind, p_total=p_total[p]* np.ones([12],np.float64), **kwargs) + simulator.DeltaG = DeltaG + # Generate fitted DeltaG estimates with stochastic noise added before each fit. + estimates_per_posterior_sample, intensities = simulator.generate_deltag_estimates(nsamples=nsamples) + bias_squared.append(np.mean((estimates_per_posterior_sample - simulator.DeltaG)**2)) + estimates.append(estimates_per_posterior_sample) + # Collect the bias, variance, and coefficient of variantion + bias_squared = np.array(bias_squared) + Bias2.append(np.mean(bias_squared)) + estimates = np.array(estimates) + Var.append(np.var(estimates)) + CV.append(np.std(estimates)/np.abs(mean_delta_g) * 100) + + return np.array(CV), np.array(Var), np.array(Bias2)