{"cells": [{"cell_type": "markdown", "id": "identified-assembly", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:10:43.318463Z", "start_time": "2021-11-15T11:10:43.310159Z"}}, "source": ["\"Open"]}, {"cell_type": "markdown", "id": "impaired-consciousness", "metadata": {}, "source": ["# AlgoSB 2021\n", "\n", "Practical afternoon session Monday, 8th of November. VGLAPG example trajectory analysis."]}, {"cell_type": "code", "execution_count": 1, "id": "18b0aaa1", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:44.747677Z", "start_time": "2021-11-15T11:39:44.557348Z"}}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "0f45e73437214e608058052f03f93635", "version_major": 2, "version_minor": 0}, "text/plain": []}, "metadata": {}, "output_type": "display_data"}], "source": ["import sys\n", "import warnings\n", "\n", "import cnnclustering\n", "from cnnclustering import cluster, hooks, plot\n", "from IPython.core.display import display, HTML\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import mdtraj as md\n", "import nglview as nv\n", "import numpy as np\n", "import pyemma\n", "import scipy\n", "import scipy.linalg\n", "import sklearn\n", "from sklearn.metrics import pairwise_distances\n", "from sklearn.neighbors import KDTree"]}, {"cell_type": "markdown", "id": "rubber-franchise", "metadata": {}, "source": ["Uncomment and execute the following lines of code if you are on Google Colab to make nglview work:"]}, {"cell_type": "code", "execution_count": 2, "id": "printable-modem", "metadata": {}, "outputs": [], "source": ["# from google.colab import output\n", "# output.enable_custom_widget_manager()"]}, {"cell_type": "code", "execution_count": 3, "id": "cellular-baltimore", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:49.304530Z", "start_time": "2021-11-15T11:39:49.295625Z"}}, "outputs": [{"data": {"text/html": [""], "text/plain": [""]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Jupyter display settings\n", "display(HTML(\"\"))"]}, {"cell_type": "code", "execution_count": 4, "id": "sensitive-booking", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:50.010967Z", "start_time": "2021-11-15T11:39:50.005000Z"}}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["Python: 3.8.12 | packaged by conda-forge | (default, Oct 12 2021, 21:59:51) [GCC 9.4.0]\n", "Packages:\n", " matplotlib: 3.4.3\n", " numpy: 1.21.4\n", " scipy: 1.7.2\n", " sklearn: 1.0.1\n", " pyemma: 2.5.9\n", " cnnclustering: 0.5.0\n", " nglview: 3.0.3\n"]}], "source": ["# Version information\n", "print(\"Python: \", *sys.version.split(\"\\n\"))\n", "\n", "print(\"Packages:\")\n", "for package in [mpl, np, scipy, sklearn, pyemma, cnnclustering, nv]:\n", " print(f\" {package.__name__}: {package.__version__}\")"]}, {"cell_type": "code", "execution_count": 5, "id": "a421f41c", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:52.657947Z", "start_time": "2021-11-15T11:39:52.653412Z"}}, "outputs": [], "source": ["mpl.rc_file('../matplotlibrc')"]}, {"cell_type": "code", "execution_count": 6, "id": "193436c3", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:52.954629Z", "start_time": "2021-11-15T11:39:52.948098Z"}}, "outputs": [], "source": ["warnings.simplefilter(\"ignore\")"]}, {"cell_type": "markdown", "id": "3297720b", "metadata": {}, "source": ["## Load data"]}, {"cell_type": "markdown", "id": "45ffa250", "metadata": {}, "source": ["We will work here with a 600 ns trajectory of the hexapeptide VGLAPG. We want to analyze the dynamics of its backbone and therefore use the backbone phi/psi dihedrals as our features of interest. The provided trajectory is a NumPy array of shape (600001, 10). The first 5 columns are the phi dihedrals, the last 5 columns are the psi dihedrals. The timestep of the trajectory is 1 ps."]}, {"cell_type": "code", "execution_count": 7, "id": "20d1b108", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:39:57.917740Z", "start_time": "2021-11-15T11:39:57.855708Z"}}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "7c2ec9c715f84681ab10c6c91a5462a8", "version_major": 2, "version_minor": 0}, "text/plain": ["NGLWidget(max_frame=601)"]}, "metadata": {}, "output_type": "display_data"}], "source": ["t_1ns = md.load('traj_dt_1ns.xtc', top='VGLAPG.pdb')\n", "mview = nv.show_mdtraj(t_1ns)\n", "mview.add_licorice()\n", "mview"]}, {"cell_type": "code", "execution_count": 8, "id": "e2943c89", "metadata": {"ExecuteTime": {"end_time": "2021-11-15T11:40:13.031282Z", "start_time": "2021-11-15T11:40:12.530499Z"}}, "outputs": [], "source": ["dihed_traj = np.load('VGLAPG_dihedrals.npy')\n", "res_names = ['VAL1', 'GLY2', 'LEU3', 'ALA4', 'PRO5', 'GLY6']"]}, {"cell_type": "code", "execution_count": 9, "id": "b84fc0a5", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:22:16.922216Z", "start_time": "2021-11-05T19:22:16.914533Z"}}, "outputs": [{"data": {"text/plain": ["(600001, 10)"]}, "execution_count": 15, "metadata": {}, "output_type": "execute_result"}], "source": ["dihed_traj.shape"]}, {"cell_type": "markdown", "id": "dbaac181", "metadata": {}, "source": ["We plot the ramachandran plots for the inner three aminoacids. Note that the ramachandran plot for the terminal aminoacids is not possible as the N-terminal aminoacid does not have a psi dihedral and the C-terminal aminoacid does not have a phi dihedral."]}, {"cell_type": "code", "execution_count": 10, "id": "c1cf64d3", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:22:18.444889Z", "start_time": "2021-11-05T19:22:17.600953Z"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, axs = plt.subplots(1, 3, figsize=(15, 3))\n", "for i in range(1, 4):\n", " ax = axs[i - 1]\n", " pyemma.plots.plot_density(dihed_traj[:, i - 1], dihed_traj[:, i + 5], ax=ax, cbar=False)\n", " axs[i - 1].set_title(res_names[i])\n", "\n", " ax.set_xticks(np.arange(-3, 3.1, 1))\n", " ax.set_xticklabels(np.arange(-180, 181, 60))\n", " ax.set_yticks(np.arange(-3, 3.1, 1))\n", " ax.set_yticklabels(np.arange(-180, 181, 60))"]}, {"cell_type": "markdown", "id": "7df6da72", "metadata": {}, "source": ["## TICA"]}, {"cell_type": "markdown", "id": "80632c31", "metadata": {}, "source": ["We want to reduce our 10 dimensional data to 2 dimensions, which are easy to plot and a much simpler system. As we are not interested in rapidly changing dynamics and want to have a look at the slow dynamic processes of the backbone, we choose time-lagged independent component analysis (TICA) as our method of coordinate transformation."]}, {"cell_type": "markdown", "id": "7036fd9e", "metadata": {}, "source": ["### Exercise"]}, {"cell_type": "markdown", "id": "9add49ba", "metadata": {"solution2": "hidden", "solution2_first": true}, "source": ["Reduce the 10-dimensional trajectory data to 2 TIC dimensions using the PyEmma TICA module. Plot the density or free energy of the trajectory data in the space of the TIC dimensions."]}, {"cell_type": "code", "execution_count": 11, "id": "510be55a", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:27:27.075431Z", "start_time": "2021-11-05T19:27:26.794519Z"}, "solution2": "hidden"}, "outputs": [], "source": ["tica = pyemma.coordinates.tica(dihed_traj, dim=2)"]}, {"cell_type": "code", "execution_count": 12, "id": "0d9a8628", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:27:27.661362Z", "start_time": "2021-11-05T19:27:27.324743Z"}, "solution2": "hidden"}, "outputs": [{"data": {"text/plain": ["Text(0.5, 0, 'TIC #')"]}, "execution_count": 6, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots()\n", "ax.plot(np.arange(1, 11, 1), tica.eigenvalues, 'o')\n", "ax.set_ylabel('Eigenvalue')\n", "ax.set_xlabel('TIC #')"]}, {"cell_type": "code", "execution_count": 13, "id": "299d989a", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:24:03.963999Z", "start_time": "2021-11-05T19:24:03.436398Z"}, "scrolled": false, "solution2": "hidden"}, "outputs": [{"data": {"text/plain": ["Text(0, 0.5, 'TIC 2')"]}, "execution_count": 21, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots()\n", "pyemma.plots.plot_free_energy(np.concatenate(tica.get_output())[:, 0], np.concatenate(tica.get_output())[:, 1], ax=ax)\n", "ax.set_xlabel('TIC 1')\n", "ax.set_ylabel('TIC 2')"]}, {"cell_type": "markdown", "id": "8ce88bc3", "metadata": {}, "source": ["## CommonNN Clustering"]}, {"cell_type": "markdown", "id": "31e08857", "metadata": {}, "source": ["We want to create a Markov State Model on the 2D TICA data to study slow processes of the backbone dynamics. In the first step we need to discretize the 2D TICA space with a clustering method. Core-set MSMs based on density based clustering have proven to show good convergence, even with large biosystems, so we apply th density based CommonNN clustering algorithm. As the cluster fitting can get time-intensive for large datasets, we here reduce the dataset size by taking only every tenth point into account. This raises the timestep to 10 ps."]}, {"cell_type": "markdown", "id": "40a74dbd", "metadata": {}, "source": ["For CommonNN clustering we need to define the three parameters radius, neighbor cutoff and member cutoff. It is usually advisable to plot the pairwise distances of the dataset and choose a radius slightly shorter than the first maximum. We chose a radius of 0.2, a neighbor cutoff of 500 and a member cutoff of 10."]}, {"cell_type": "code", "execution_count": 14, "id": "pleasant-attribute", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:28:00.385606Z", "start_time": "2021-11-05T19:28:00.322017Z"}}, "outputs": [], "source": ["data = np.concatenate(tica.get_output())[::10]"]}, {"cell_type": "code", "execution_count": 15, "id": "b82d4d3d", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:24:12.869950Z", "start_time": "2021-11-05T19:24:11.105110Z"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["distances = pairwise_distances(data[::10])\n", "distance_rclustering = cluster.Clustering(distances, registered_recipe_key=\"distances\")\n", "\n", "fig, ax = plt.subplots()\n", "_ = plot.plot_histogram(ax, distances.flatten(), maxima=True, maxima_props={\"order\": 5})"]}, {"cell_type": "markdown", "id": "529909b0", "metadata": {}, "source": ["Clustering can be memory intensive. If you run this notebook and do not have the necessary memory available, you can load the pre-calculated labels."]}, {"cell_type": "code", "execution_count": 16, "id": "italian-burns", "metadata": {}, "outputs": [], "source": ["clustering = cluster.Clustering(data)\n", "\n", "# Pre-compute and sort neighbourhoods and choose the corresponding recipe\n", "tree = KDTree(data)\n", "neighbourhoods = tree.query_radius(\n", " data, r=0.2, return_distance=False\n", " )\n", "\n", "for n in neighbourhoods:\n", " n.sort()\n", "\n", "# Custom initialisation using a clustering builder\n", "clustering_neighbourhoods_sorted = cluster.Clustering(\n", " neighbourhoods,\n", " preparation_hook=hooks.prepare_neighbourhoods,\n", " registered_recipe_key=\"sorted_neighbourhoods\"\n", " )"]}, {"cell_type": "code", "execution_count": 17, "id": "a93eb054", "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["-----------------------------------------------------------------------------------------------\n", "#points r c min max #clusters %largest %noise time \n", "60001 0.200 550 10 None 3 0.587 0.231 00:00:14.218\n", "-----------------------------------------------------------------------------------------------\n", "\n"]}], "source": ["# Use pre-computed neighbourhoods\n", "clustering_neighbourhoods_sorted.fit(0.2, 550, 10)\n", "clustering._labels = clustering_neighbourhoods_sorted._labels"]}, {"cell_type": "code", "execution_count": 18, "id": "154bb24f", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:30:24.235223Z", "start_time": "2021-11-05T19:30:24.183650Z"}}, "outputs": [], "source": ["# To load provided labels (in case of insufficient memory):\n", "clustering = cluster.Clustering(data)\n", "clustering.labels = np.load('cluster_labels.npy')"]}, {"cell_type": "code", "execution_count": 19, "id": "262f6dcc", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:30:26.518185Z", "start_time": "2021-11-05T19:30:25.422321Z"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["_ = clustering.evaluate()"]}, {"cell_type": "markdown", "id": "bf377bbd", "metadata": {}, "source": ["We identified 3 clusters that we can plot in TICA space. Points outside the clusters are considered as noise."]}, {"cell_type": "markdown", "id": "1aa4aaa4", "metadata": {}, "source": ["### Visualization"]}, {"cell_type": "code", "execution_count": 20, "id": "921a90fd", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:30:55.088999Z", "start_time": "2021-11-05T19:30:54.990012Z"}}, "outputs": [], "source": ["t_cluster_centers = md.load('t_cluster_centers.xtc', top='VGLAPG.pdb')"]}, {"cell_type": "code", "execution_count": 21, "id": "5176c027", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:30:56.261790Z", "start_time": "2021-11-05T19:30:56.103508Z"}}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "bfd6fffe9854445886a123d630aa9aac", "version_major": 2, "version_minor": 0}, "text/plain": ["NGLWidget(max_frame=2)"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mview = nv.show_mdtraj(t_cluster_centers)\n", "mview.add_licorice()\n", "mview"]}, {"cell_type": "markdown", "id": "c0f08a44", "metadata": {}, "source": ["## Markov State Model"]}, {"cell_type": "markdown", "id": "ecd04410", "metadata": {}, "source": ["To build the MSM we apply the PyEMMA package. Firstly, we have to adjust our discretized trajectories from the clustering, because noise in CNN clustering is indicated by the cluster number 0, while in PyEMMA it is -1. We adjust the dataset by substracting 1 from every cluster number."]}, {"cell_type": "code", "execution_count": 22, "id": "8428f97e", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:32:12.146192Z", "start_time": "2021-11-05T19:32:12.131108Z"}}, "outputs": [], "source": ["dtrajs = [x - 1 for x in clustering.to_dtrajs()]"]}, {"cell_type": "markdown", "id": "045ec06a", "metadata": {"solution2": "hidden", "solution2_first": true}, "source": ["### Exercise"]}, {"cell_type": "markdown", "id": "4ce085af", "metadata": {"solution2": "hidden"}, "source": ["Build a Markov Sate Model using the PyEMMA package and the discretized trajectory from the clustering. Create an implied timescales plot to choose an appropriate lag-time. Plot the first two left and right eigenvectors."]}, {"cell_type": "code", "execution_count": 23, "id": "c1ea0570", "metadata": {"scrolled": false, "solution2": "hidden"}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "", "version_major": 2, "version_minor": 0}, "text/plain": ["estimating MaximumLikelihoodMSM: 0%| \u2026"]}, "metadata": {}, "output_type": "display_data"}, {"name": "stdout", "output_type": "stream", "text": ["05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[6] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:49 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[6] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n", "05-11-21 17:53:50 pyemma.msm.estimators.implied_timescales.ImpliedTimescales[3] WARNING Changed user setting nits to the number of available timescales nits=2\n"]}, {"data": {"text/plain": [""]}, "execution_count": 19, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["its = pyemma.msm.its(dtrajs, lags=[1, 2, 5, 10, 20, 50, 100, 200], nits=3)\n", "pyemma.plots.plot_implied_timescales(its, ylog=False, dt=0.01, units='ns')"]}, {"cell_type": "markdown", "id": "828ecf44", "metadata": {"solution2": "hidden"}, "source": ["We see the implied timescales converge at a lag time of about 1 ns, which we take as the lagtime for our MSM."]}, {"cell_type": "code", "execution_count": 24, "id": "556c1677", "metadata": {"solution2": "hidden"}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["05-11-21 17:53:50 pyemma.msm.estimators.maximum_likelihood_msm.MaximumLikelihoodMSM[5] WARNING Empty core set while unassigned states (-1) in discrete trajectory. Defining core set automatically; check correctness by calling self.core_set.\n"]}], "source": ["MSM = pyemma.msm.estimate_markov_model(dtrajs, lag=100)"]}, {"cell_type": "markdown", "id": "0451e3dc", "metadata": {"solution2": "hidden"}, "source": ["We can analyze the MSM by plotting its eigenvectors."]}, {"cell_type": "code", "execution_count": 25, "id": "8f23625e", "metadata": {"solution2": "hidden"}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["def plot_eigenvector(ax, eig):\n", " '''Plot eigenvector.'''\n", " x = np.arange(1, len(eig) + 1, 1)\n", " y = eig\n", " ax.plot(x, y, color='k')\n", " ax.plot(x, [0]*len(x), '--', color='k')\n", " ax.fill_between(x, 0, y, where= y>=0, facecolor='red', interpolate=True)\n", " ax.fill_between(x, 0, y, where= y<=0, facecolor='blue', interpolate=True)\n", "\n", "fig, axs = plt.subplots(2, 2)\n", "plot_eigenvector(axs[0][0], MSM.eigenvectors_left()[0])\n", "plot_eigenvector(axs[1][0], MSM.eigenvectors_left()[1])\n", "plot_eigenvector(axs[0][1], MSM.eigenvectors_right()[:, 0])\n", "plot_eigenvector(axs[1][1], MSM.eigenvectors_right()[:, 1])\n", "\n", "for ax in axs[:, 0]:\n", " ax.set_ylim(-0.5, 0.8)\n", "for ax in axs[:, 1]:\n", " ax.set_ylim(-1, 2)\n", "\n", "for ax in axs.flat:\n", " ax.set_xticks(np.arange(1, 4, 1))\n", "plt.tight_layout()"]}, {"cell_type": "markdown", "id": "3b401b4f", "metadata": {}, "source": ["## Open-Close Transition"]}, {"cell_type": "code", "execution_count": 26, "id": "73cdc758", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:33:01.276018Z", "start_time": "2021-11-05T19:33:01.257502Z"}}, "outputs": [], "source": ["d_ete_traj = np.load('VGLAPG_end_to_end.npy')"]}, {"cell_type": "code", "execution_count": 27, "id": "b23c769c", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:33:01.949602Z", "start_time": "2021-11-05T19:33:01.921837Z"}}, "outputs": [], "source": ["ete_data = []\n", "for i in range(1, 4):\n", " x = d_ete_traj[np.where(clustering.to_dtrajs()[0] == i, True, False)]\n", " ete_data.append(x)"]}, {"cell_type": "code", "execution_count": 28, "id": "744e70bd", "metadata": {"ExecuteTime": {"end_time": "2021-11-05T19:33:03.488500Z", "start_time": "2021-11-05T19:33:03.273781Z"}}, "outputs": [{"data": {"image/png": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots()\n", "ax.boxplot(ete_data)\n", "ax.set_ylabel('End-to-End distance')\n", "ax.set_xlabel('Cluster #')\n", "plt.show()"]}, {"cell_type": "markdown", "id": "79e6b498", "metadata": {}, "source": ["### Exercise"]}, {"cell_type": "markdown", "id": "f93132d1", "metadata": {"solution2": "hidden", "solution2_first": true}, "source": ["Plot the distribution of the end-to-end distance within the clusters as histograms."]}, {"cell_type": "code", "execution_count": 29, "id": "41fc2762", "metadata": {"solution2": "hidden"}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, ax = plt.subplots()\n", "ax.hist(ete_data[0], histtype='step', linewidth=2, bins=100, label='1')\n", "ax.hist(ete_data[1], histtype='step', linewidth=2, bins=100, label='2')\n", "ax.hist(ete_data[2], histtype='step', linewidth=2, bins=100, label='3')\n", "ax.set_xlabel('End-to-End Distance')\n", "ax.set_ylabel('Histogram Count')\n", "plt.legend()\n", "plt.show()"]}, {"cell_type": "markdown", "id": "7a18ba86", "metadata": {}, "source": ["## Markov State Model on End-to-End Distance"]}, {"cell_type": "markdown", "id": "96c477ec", "metadata": {}, "source": ["While we use packages like PyEmma to create MSMs, it is also possible to code them manually, and for a simple case like a 1D MSM quite straightforward. Here we show how to create an MSM using only python and numpy. We use the end-to-end distance of VGLAPG as our coordinate."]}, {"cell_type": "code", "execution_count": 30, "id": "abe5967f", "metadata": {}, "outputs": [], "source": ["# Load End-to-End Distance Data\n", "d = d_ete_traj\n", "\n", "# Get Range For Discretization\n", "d_min = np.amin(d)\n", "d_max = np.amax(d) + 0.01\n", "d_range = d_max - d_min\n", "\n", "# Set How Many States for Discretization\n", "n_states = 100\n", "delta_d = d_range / n_states\n", "\n", "# Discretize Trajectory\n", "d_discretized = np.floor((d - d_min) / delta_d).astype('int')\n", "d_discretized = d_discretized\n", "\n", "# Initialize Count Matrix and Set Lag-Time tau\n", "C = np.zeros((n_states,n_states))\n", "tau = 100\n", "\n", "# Count State Transtitions and Store in Count Matrix\n", "for x in range(len(d_discretized) - tau):\n", " state_i = d_discretized[x]\n", " state_j = d_discretized[x + tau]\n", " C[state_i, state_j] += 1\n", "\n", "# Enforce Detailed Balance\n", "C_db = C + np.transpose(C)\n", "\n", "# Create Transition Matrix By Row-Normalizing Count Matrix\n", "T = np.zeros((n_states, n_states))\n", "for i in range(n_states):\n", " T[i, :] = C[i, :] / np.sum(C[i, :])\n", "\n", "# Calculate Left and Right Eigenvectors\n", "eig_right = np.real(np.linalg.eig(T)[1])\n", "eig_left = np.real(np.linalg.eig(T.T)[1])"]}, {"cell_type": "code", "execution_count": 31, "id": "53da6f66", "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, axs = plt.subplots(2, 2)\n", "plot_eigenvector(axs[0][0], eig_left[:, 0])\n", "plot_eigenvector(axs[1][0], eig_left[:, 1] * -1)\n", "plot_eigenvector(axs[0][1], eig_right[:, 0] * 10)\n", "plot_eigenvector(axs[1][1], eig_right[:, 1] * -10)\n", "\n", "for ax in axs[:, 1]:\n", " ax.set_ylim(-2.5, 1.5)\n", " \n", "for ax in axs.flat:\n", " ax.set_xticks(np.arange(0, 101, 20))\n", "plt.tight_layout()"]}], "metadata": {"kernelspec": {"display_name": "AlgoSB", "language": "python", "name": "algosb"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.12"}, "toc": {"base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {"height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "165px"}, "toc_section_display": true, "toc_window_display": false}, "varInspector": {"cols": {"lenName": 16, "lenType": 16, "lenVar": 40}, "kernels_config": {"python": {"delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())"}, "r": {"delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) "}}, "types_to_exclude": ["module", "function", "builtin_function_or_method", "instance", "_Feature"], "window_display": false}}, "nbformat": 4, "nbformat_minor": 5}