{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Alanine dipeptide\n", "=========\n", "\n", "In this notebook we study the rare-event kinetics of the alanine dipeptide molecule using Markov state models (MSM). Alanine-dipeptide is an example for a small peptide exhibiting rare-events in solution at room temperature. The $\\phi$ and $\\psi$ dihedral angles of the molecule have been identified as the two relevant coordinates for the slowest kinteic processes of the system under equilibrium conditions. Five meta-stable conformations have been identified for alanine dipeptide, $C_5$, $P_{II}$, and $\\alpha_R$ are the three most probable conformations, while $\\alpha_L$ and $C_7^{ax}$ are extremely rare. \n", "\n", "We focuss our study on the rare $C_5 \\to \\alpha_L$ transitions. We are interested in estimating the value of the mean first-passage time (mfpt) $\\tau(C_5 \\to \\alpha_L)$ for this transition from simulation data via MSMs. We show that the rare-event kinetics for this molecule can be efficiently estimated if short relaxation trajectories and the stationary vector are combined using reversible MSMs. \n", "\n", "The short trajectories are started in the low-probability $\\alpha_L$-conformation and rapidly relax to the high-probability region. The stationary vector has been estimated from umbrella sampling simulations using the weighted histogram analysis method (WHAM).\n", "\n", "We compare the estimated values with those obtained from an ensemble of long trajectories using the standard approach (non-reversible MSM, no additional information about stationary probabilities) and show that the mfpt-value can be reliably estimated with much smaller total simulation effort if additional knowledge about the stationary probabilities is available during MSM estimation.\n", "\n", "We carry out a full Bayesian posterior analysis to quantify the uncertainties of all estimates and show that almost one order of magnitude speedup can be achieved if short relaxation trajectories are used in combination with umbrella sampling simulations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a few general imports and settings" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "% matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.patches as patches\n", "import matplotlib.image as image\n", "from pyemma import msm\n", "from scipy.interpolate import griddata" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Spatial discretisation\n", "-------------------------\n", "To carry out MSM analysis we need to discretize the continous conformation space into finitely many non-overlapping sets. The trajectory of continous $\\phi$ and $\\psi$ dihedral angle values is then converted to a trajectory of integer labels associated to the set-based discretisation of conformation space.\n", "\n", "We have discretized the $(\\phi, \\psi)$ dihedral angle space, $[-180^{\\circ}, 180^{\\circ}] \\times [-180^{\\circ}, 180^{\\circ}]$ , into $20 \\times 20$ equal sized bins. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "centers = np.load('data/centers.npy')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lagtime for MSM estimation\n", "------------------------------\n", "\n", "The representation of the Markovian dynamics in full conformation space in terms of the jump process on the set-based discretisation of the $(\\phi, \\psi)$ dihedral angle space introduces memory effects. The discrete state-space dynamics can be described by a Markov chain on a finite state space if it is viewed at an appropriate lagtime $\\tau$. A good choice of lagtime allows for the decay of all processes that happen on scales not resolved by the choice of coordinate and discretisation, so that the resulting dynamics is approximately Markovian again. Both the discretization and the lag time are crucial for the approximation quality of a Markov state model [1,2].\n", "\n", "We use a lagtime of $\\tau=6ps$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "tau = 6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MSM from long trajectories\n", "------------------------------\n", "At first we build a standard Markov model (non-reversible, no additional information about stationary probabilities) from a set of $N=51$ trajectories of lenght $L=200ns $ saved at a timestep of $1 ps$. \n", "\n", "In order for the MSM to correctly compute the mfpt for the $C_5 \\to \\alpha_L$ transition the used trajectories need to contain sufficiently many rare-events. We use a total of $10\\mu s$ of simulation data.\n", "\n", "We show an overlay of the largest kinetically connected set (blue) and all centers of the discretisation (gray).The set Some regions in the $(\\phi, \\psi)$ dihedral angle space have extremely low probability so that there is no kinetic connection to them in the data.\n", "\n", "Then we compute the stationary vector and the corresponding free energy (potential of mean force) and plot contour lines of the free energy. For plotting purposes we extrapolate the values on those grid centers belonging to the largest connected set to a fine grid. There might be some artifacts because the extrapolation is not aware of the $(\\phi, \\psi)$-periodicity and because of missing values outside of the largest connected set." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KyByFUsmO6HsMt/MmqTyHa5nxLPIazpXsB6hJ5UQWxyKXyHHXdWzw/FSlOmjKzXhUeACl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\ntTu3/3jAqW3X2PHdCXb9cBKP9s50HNQ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rgIxG2+pMEATmhaXwUvZP5LXVEevqy2jvvqQ3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\nEyEOv1SyEGqE6WJE2nzQTUC6foeM7OoxOWPvIVAJzQG7q3WFlJJ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uZlrWHyiwTDv4Qb0c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dtrajs_long = list(np.load('data/dtrajs_long.npz')['arr_0'])\n", "msm_nrev = msm.estimate_markov_model(dtrajs_long, tau, count_mode='sample')\n", "lcc = msm_nrev.active_set\n", "pi = msm_nrev.stationary_distribution\n", "kB=8.314472471220217*1e-3 # kJ/(K*mol)\n", "T=300.0 # K\n", "beta=1.0/(kB*T) # mol/kJ \n", "A = -1.0/beta*np.log(pi)\n", "A -= A.min()\n", "centers_lcc = centers[lcc, :]\n", "nx = 100\n", "x = np.linspace(-180.0, 180.0, nx)\n", "ny = 100\n", "y = np.linspace(-180.0, 180.0, ny)\n", "X, Y = np.meshgrid(x, y)\n", "AXY = griddata(centers_lcc, A, (X, Y), method='cubic')\n", "\n", "plt.plot(centers[:, 0], centers[:, 1], ls=' ', marker='x', c='gray')\n", "plt.plot(centers[lcc, 0], centers[lcc, 1], ls=' ', marker='x', c='b')\n", "\n", "levels=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 20, 22, 24, 25, 30, 35]\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.contour(X, Y, AXY, levels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mean first-passage time computations\n", "------------------------------------------\n", "\n", "We are interested in the mean-first passage time (mfpt) between the two meta-stable sets,\n", "\n", "$$ A = \\{(\\phi, \\psi) | -162 \\leq \\phi \\leq -108, \\; 108 \\leq \\psi \\leq 180 \\}$$\n", "\n", "and \n", "\n", "$$ B = \\{(\\phi, \\psi) | 36 \\leq \\phi \\leq 72, \\; -18 \\leq \\psi \\leq 72 \\}$$\n", "\n", "also known as the $C_5$ and $\\alpha_L$ conformations." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood value from a total of 10 microseconds of simulation effort\n", "mfpt of A->B transition: 43.6ns\n", "mfpt of B->A transition: 1.5ns\n" ] }, { "data": { "image/png": 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FJTDU14lhHk7kVVWzOSIGFxM5jsbtuuYecnMUSiWbU68x1c6X7IZSLhZl8KHPVIJLElAX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ZOPfwWyCqt54I2NqEzlfLB8fr9OY4NBZOveNG59bCW5hTU8c9901rx7B/OmRwxQJnVxsOLTV2/i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Pv/Hgi6jsqMNBYU2bzthg6ZInE2BuDLHkNdfgorJkqlcwyzNPU9/RjqXi6t7cYB93nhg+gC8O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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def compute_set_indices(centers_raw, lcc):\n", " centers = centers_raw[lcc, :]\n", " ix = np.logical_and( (centers[:, 0] >=-162), (centers[:, 0] <= -108) )\n", " iy = np.logical_and( (centers[:, 1] >= 108), (centers[:, 1] <= 180) )\n", " ind = np.logical_and(ix, iy)\n", " A = np.where(ind)[0]\n", "\n", " ix = np.logical_and( (centers[:, 0] >= 36), (centers[:, 0] <= 72) )\n", " iy = np.logical_and( (centers[:, 1] >= -18), (centers[:, 1] <= 72) )\n", " ind = np.logical_and(ix, iy)\n", " B = np.where(ind)[0]\n", " return A, B\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.contour(X, Y, AXY, levels)\n", "ax.add_patch(patches.Rectangle((-162, 108), 54, 72, alpha=0.4))\n", "ax.add_patch(patches.Rectangle((36, -18), 36, 90, alpha=0.4))\n", "ax.annotate(\"A\", (-150, 125), size=20)\n", "ax.annotate(\"B\", (50, 0), size=20)\n", "A, B = compute_set_indices(centers, lcc)\n", "print(\"Maximum likelihood value from a total of 10 microseconds of simulation effort\")\n", "print(\"mfpt of A->B transition: %.1fns\" %(msm_nrev.mfpt(A, B)/1000))\n", "print(\"mfpt of B->A transition: %.1fns\" %(msm_nrev.mfpt(B, A)/1000))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computing errors\n", "-------------------\n", "To quantify the uncertainty of the estimated mfpt we need to carry out a Bayesian posterior analysis, c.f. [3].\n", "\n", "We draw transition matrices from the posterior ensemble and compute the mfpt for each sampled transition matrix. The errors of our estimate can than assessed by the sample standard deviation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "93f616e8d0814bff96b727a461701ce3", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='Sampling MSMs'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The estimated sample mean is 43.43 ns\n", "The estimated sample standard deviation is 2.33 ns\n", "The relative error of the estimate is 5.4%\n" ] } ], "source": [ "bmsm = msm.bayesian_markov_model(dtrajs_long, tau, count_mode='sample', reversible=False)\n", "print(\"The estimated sample mean is %.2f ns\" %(bmsm.sample_mean(\"mfpt\", A, B)/1000))\n", "print(\"The estimated sample standard deviation is %.2f ns\" %(bmsm.sample_std(\"mfpt\", A, B)/1000))\n", "print(\"The relative error of the estimate is %.1f\" %(100.0*bmsm.sample_std(\"mfpt\", A, B)/bmsm.sample_mean(\"mfpt\", A, B)) +\"%\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "MSM with fixed stationary vector and short 'downhill' trajectories\n", "----------------------------------------------------------------------------\n", "Estimates of the stationary probabilities can be obtained from enhanced sampling simulations using appropriate reweighting techniques (WHAM, MBAR, TRAM). The amount of data required to obtain reliable estimates can be orders of magnitude smaller than those required to obtain a good estimate from data generated using a standard simulation protocol, e.g. standard MD.\n", "\n", "There is an additional cost for the enhanced sampling simulations. The obtained estimates also come with a statistical uncertainty which can be quantified using bootstrap resampling techniques.\n", "\n", "We use a stationary vector obtained from $100ns$ of umbrella sampling simulations and a set of $40$ short trajectories starting in the $\\alpha_L$ region (set $B$) to estimate the mfpt using a total of only $300ns$ of simulation time.\n", "\n", "We also use a bootstrap sample of stationary vectors to quantify the errors resulting from the combined uncertainty of stationary vector estimate and finite amount of trajectories used.\n", "\n", "There is only a small patch in the free-energy region that is not resolved by the umbrella sampling simulations with biasing potential on the $\\phi$ dihedral angle. This region is unimportant for the mfpt-computation however. The important barrier that trajectories going from $A \\to B$ need to overcome is very well resolved using only $100ns$ of umbrella sampling data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0sOeXIEhsgsF5JYL9ZDAcQMx97V7Omb8X0XQdseg7MkVv8qxWfs9RYrYKWC0a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yXAl8W32AWwrGsaxmG3FGAwZJYnhSm++twr8Bo2wn2XLUwB9ep/sLfmVJgL8GSLILEt8H5f+W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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pi_ref = np.load('data/stationary_vector_ref.npy')\n", "A_ref = np.zeros_like(pi_ref)\n", "pos = (pi_ref>0.0)\n", "npos = (pi_ref==0.0)\n", "A_ref[pos] = -1.0/beta*np.log(pi_ref[pos])\n", "A_ref[npos] = A_ref.max()\n", "A_ref -= A_ref.min()\n", "AXY = griddata(centers, A_ref, (X, Y), method='cubic')\n", "levels=[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 20, 22, 24, 25, 30, 35]\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.contour(X, Y, AXY, levels)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum likelihood value from a total of 300 ns of simulation effort\n", "mfpt of A->B transition: 39.8ns\n", "mfpt of B->A transition: 1.4ns\n" ] } ], "source": [ "dtrajs_short = list(np.load('data/dtrajs_short.npz')['arr_0'])\n", "pi_bs = np.load('data/stationary_vector_bs.npy')[3, ::10, :]\n", "n_bs = pi_bs.shape[0]\n", "n_samples = 10\n", "\n", "msm_revpi = msm.estimate_markov_model(dtrajs_short[0:40], tau, statdist=pi_ref, count_mode='sample')\n", "A, B = compute_set_indices(centers, msm_revpi.active_set)\n", "print(\"Maximum likelihood value from a total of 300 ns of simulation effort\")\n", "print(\"mfpt of A->B transition: %.1fns\" %(msm_revpi.mfpt(A, B)/1000))\n", "print(\"mfpt of B->A transition: %.1fns\" %(msm_revpi.mfpt(B, A)/1000))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Computing errors\n", "-------------------\n", "\n", "We again perform a Bayesian posterior analysis. Now for the ensemble of transition matrices reversible with respect to a given stationary vector, c.f. [3]." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d943b1680138418f990bfb47df581f33", "version_major": 2, "version_minor": 0 }, "text/html": [ "

Failed to display Jupyter Widget of type HBox.

\n", "

\n", " If you're reading this message in the Jupyter Notebook or JupyterLab Notebook, it may mean\n", " that the widgets JavaScript is still loading. If this message persists, it\n", " likely means that the widgets JavaScript library is either not installed or\n", " not enabled. See the Jupyter\n", " Widgets Documentation for setup instructions.\n", "

\n", "

\n", " If you're reading this message in another frontend (for example, a static\n", " rendering on GitHub or NBViewer),\n", " it may mean that your frontend doesn't currently support widgets.\n", "

\n" ], "text/plain": [ "HBox(children=(HBox(children=(Label(value='Sampling MSMs'),), layout=Layout(max_width='35%', min_width='35%')), HBox(children=(IntProgress(value=0), HTML(value='')), layout=Layout(padding='0 0 0 20px'))), layout=Layout(display='flex', width='100%'))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "The estimated sample mean is 39.39 ns\n", "The estimated standard deviation is 5.37 ns\n", "The relative error of the estimate is 13.6%\n" ] } ], "source": [ "bmsm_revpi = msm.bayesian_markov_model(dtrajs_short[0:40], tau, statdist=pi_ref, count_mode='sample', nsamples=100)\n", "print(\"The estimated sample mean is %.2f ns\" %(bmsm_revpi.sample_mean('mfpt', A, B)/1000))\n", "print(\"The estimated standard deviation is %.2f ns\" %(bmsm_revpi.sample_std('mfpt', A, B)/1000))\n", "print(\"The relative error of the estimate is %.1f\" %(100.0*bmsm_revpi.sample_std('mfpt', A, B)/bmsm_revpi.sample_mean('mfpt', A, B)) +\"%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Combined uncertainty\n", "-----------------------\n", "The relative error taking also into account the uncertainty in the stationary vector will be larger than the relative error taking into account only the finite amount of simulation data used.\n", " \n", "We have to generate samples for each of the stationary vectors in the bootstrap, that can take a couple of minutes." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The estimated sample mean is 41.49 ns\n", "The estimated standard deviation is 6.66 ns\n", "The relative error of the estimate is 16.1%\n" ] } ], "source": [ "def sample_mfpt_bs(dtraj_list, pi_bs, n_samples, verbose=False):\n", " n_bs = pi_bs.shape[0]\n", " sample = np.zeros((n_bs*n_samples)) \n", " for i in range(n_bs):\n", " if verbose:\n", " print(\"Iteration %i of %i\" %(i+1, n_bs))\n", " pi = pi_bs[i, :]\n", " bmsm_revpi = msm.bayesian_markov_model(dtraj_list, tau, statdist=pi_ref, \n", " count_mode='sample', nsamples=n_samples, show_progress=False)\n", " A, B = compute_set_indices(centers, bmsm_revpi.active_set)\n", " sample[i*n_samples:(i+1)*n_samples] = bmsm_revpi.sample_f('mfpt', A, B)\n", " return sample\n", " \n", "samples = sample_mfpt_bs(dtrajs_short[0:40], pi_bs, n_samples)\n", "print(\"The estimated sample mean is %.2f ns\" %(np.mean(samples)/1000))\n", "print(\"The estimated standard deviation is %.2f ns\" %(np.std(samples)/1000))\n", "print(\"The relative error of the estimate is %.1f\" %(100.0*np.std(samples)/np.mean(samples)) +\"%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Error versus total simulation effort\n", "-----------------------------------------\n", "\n", "To study the uncertainty of the estimates for increasing amount of simulation data we need to estimate mean and uncertainty for an increasing number of short trajectories. Due to the large number of samples required to estimate a single data-point the evaluation of the below cells can take some time.\n", "\n", "We have prerun the computationally heavy cells below. The resulting figures are loaded from disk, so that you do not need to wait until the results have been (re)computed. The figures have been generated using the full bootstrap sample of stationary vectors." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def generate_stats(dtraj_list, N_dtrajs, pi_bs, n_samples, tau):\n", " data = np.zeros((len(N_dtrajs), 2))\n", " for i in range(len(N_dtrajs)):\n", " print(\"Iteration %i of %i\" %(i+1, len(N_dtrajs)))\n", " \"\"\"Number of trajectories to use\"\"\"\n", " N = N_dtrajs[i] \n", " sample = sample_mfpt_bs(dtraj_list[0:N], pi_bs, n_samples)\n", " data[i, 0] = np.mean(sample)\n", " data[i, 1] = np.std(sample)\n", " return data\n", "\n", "def generate_stats_optimal(dtraj_list, N_dtrajs, pi_bs_list, n_samples, tau):\n", " data = np.zeros((len(N_dtrajs), 2))\n", " for i in range(len(N_dtrajs)):\n", " print(\"Iteration %i of %i\" %(i+1, len(N_dtrajs)))\n", " \"\"\"Number of trajectories to use\"\"\"\n", " N = N_dtrajs[i] \n", " sample = sample_mfpt_bs(dtraj_list[0:N], pi_bs_list[i, :, :], n_samples)\n", " data[i, 0] = np.mean(sample)\n", " data[i, 1] = np.std(sample)\n", " return data\n", "\n", "def generate_stats_nrev(dtraj_list, N_dtrajs, n_samples, tau):\n", " data = np.zeros((len(N_dtrajs), 2))\n", " for i in range(len(N_dtrajs)):\n", " print(\"Iteration %i of %i\" %(i+1, len(N_dtrajs)))\n", " \"\"\"Number of trajectories to use\"\"\"\n", " N = N_dtrajs[i] \n", " bmsm = msm.bayesian_markov_model(dtraj_list[0:N], tau, count_mode='sample', \n", " nsamples=n_samples, show_progress=False)\n", " A, B = compute_set_indices(centers, bmsm.active_set)\n", " sample = bmsm.sample_f('mfpt', A, B)\n", " data[i, 0] = np.mean(sample)\n", " data[i, 1] = np.std(sample)\n", " return data\n", "\n", "#Subsample the stationary vector bootstrap to spped up the generation of statistics\n", "stationary_vector_bs = np.load('data/stationary_vector_bs.npy')[:,::10,:]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# # Depending on n_samples this cell can take some time to run\n", "# N_dtraj = np.array([10, 20, 50, 100, 200, 500, 1000, 1500])\n", "# pi_bs = stationary_vector_bs[0, :, :]\n", "# effort_short = N_dtraj *5 + 20 # N_C + N_pi in ns\n", "# data_short = generate_stats(dtrajs_short, N_dtraj, pi_bs, n_samples, tau)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# # Depending on n_samples this cell can take a some time to run\n", "# N_dtraj = np.array([10, 20, 50, 100, 200, 500, 1000, 1500])\n", "# pi_bs = stationary_vector_bs[4, :, :]\n", "# effort_long = N_dtraj *5 + 200 # N_C + N_pi in ns\n", "# data_long = generate_stats(dtrajs_short, N_dtraj, pi_bs, n_samples, tau)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# # Depending on n_samples this cell can take a some time to run\n", "# N_dtraj = np.array([1, 2, 5, 8, 10, 20, 30, 50])\n", "# effort_nrev = N_dtraj*200 # N_C + N_pi in ns\n", "# data_nrev = generate_stats_nrev(dtrajs_long, N_dtraj, n_samples*n_bs, tau)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# # Depending on n_samples this cell can take some time to run\n", "# N_dtraj = np.array([8, 10, 20, 40, 100, 200, 800])\n", "# effort_optimal = N_dtraj*5*2\n", "# data_optimal = generate_stats_optimal(dtrajs_short, N_dtraj, stationary_vector_bs[1:, :, :], n_samples, tau)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# fig = plt.figure()\n", "# ax = fig.add_subplot(111)\n", "# ax.set_xlabel(r\"Simulation effort, $N$, in $ns$\")\n", "# ax.set_ylabel(r\"Mean first-passage time, $\\tau_{AB}$, in $ps$\")\n", "# ax.set_xscale('log')\n", "# ax.set_xlim(5e1, 2e4)\n", "# ax.axhline(43400, ls='--', c='k')\n", "# ax.errorbar(effort_nrev, data_nrev[:, 0], yerr=data_nrev[:, 1], ls=' ', marker='^',\n", "# label=r\"$N_{\\pi}=0ns$\")\n", "# ax.errorbar(effort_short, data_short[:, 0], yerr=data_short[:, 1], ls=' ', marker='x',\n", "# label=r\"$N_{\\pi}=20ns$\")\n", "# ax.errorbar(effort_long, data_long[:, 0], yerr=data_long[:, 1], ls=' ', marker='D',\n", "# label=r\"$N_{\\pi}=200ns$\")\n", "# ax.errorbar(effort_optimal, data_optimal[:, 0], yerr=data_optimal[:, 1], ls=' ', marker='o',\n", "# label=r\"$N_{\\pi}=N_{C}$\")\n", "# ax.legend()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# fig = plt.figure()\n", "# ax = fig.add_subplot(111)\n", "# ax.set_xlabel(r\"Simulation effort, $N$, in $ns$\")\n", "# ax.set_ylabel(r\"Relative error, $\\epsilon(\\tau_{AB})$\")\n", "# ax.set_xscale('log')\n", "# ax.set_yscale('log')\n", "# ax.set_xlim(5e1, 2e4)\n", "# ax.plot(effort_nrev, data_nrev[:, 1]/data_nrev[:, 0], ls=':', marker='^',\n", "# label=r\"$N_{\\pi}=0ns$\")\n", "# ax.plot(effort_short, data_short[:, 1]/data_short[:, 0], ls=':', marker='x',\n", "# label=r\"$N_{\\pi}=20ns$\")\n", "# ax.plot(effort_long, data_long[:, 1]/data_long[:, 0], ls=':', marker='D',\n", "# label=r\"$N_{\\pi}=200ns$\")\n", "# ax.plot(effort_optimal, data_optimal[:, 1]/data_optimal[:, 0], ls=':', marker='o',\n", "# label=r\"$N_{\\pi}=N_{C}$\")\n", "# ax.legend()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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666107NiRDRs2eDucSsk/m09ibCIAibGJPl+0UrdY50D1vBSHUqriyi1aMca8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\n/wETWMXuG8lNJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img1 = image.imread('expectation.png')\n", "plt.imshow(img1)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G8+n/fur97JEvHynRPscOHYpvuo4GxiQkMHbo0CK3qxIRQXyHDtSsVIkjmZl8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\neU4OGON+5eRARAQpKSmM7en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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "img2 = image.imread('error.png')\n", "plt.imshow(img2)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "References\n", "------------\n", "\n", "[1] Prinz, J.-H., H. Wu, M. Sarich, B. G. Keller, M. Senne, M. Held, J. D. Chodera, Ch. Schütte and F. Noé: Markov models of molecular kinetics: Generation and Validation. J. Chem. Phys. 134, 174105 (2011)\n", "\n", "[2] Sarich, M., F. Noé, Ch. Schütte: On the Approximation Quality of Markov State Models. Multiscale Model. Simul. 8, 1154-1177 (2010)\n", "\n", "[3] Trendelkamp-Schroer, B. and Wu, H. and Paul, F. and Noé, F. (2015) Estimation and uncertainty of reversible Markov models. J. Chem. Phys., 143 . p. 174101." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 1 }