{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# HOLE trajectory analysis with order parameters\n", "\n", "The [MDAnalysis.analysis.hole](https://www.mdanalysis.org/docs/documentation_pages/analysis/hole.html) module in [MDAnalysis](https://www.mdanalysis.org) can analyze trajectories of, say ion channels, and associate the per-frame pore radius profiles $R_\\rho(\\zeta)$ with an order parameter $\\rho$ for each frame of the trajectory. It uses Oliver Smart's [HOLE](http://www.holeprogram.org/) program.\n", "\n", "In this example notebook we use a synthetic and short trajectory of the gramicidin A cation pore (gA). The trajectory was generated from the first elastic network mode of gA, generated by the [elNémo](http://www.sciences.univ-nantes.fr/elnemo/) server, using the gA structure [1GRM](http://dx.doi.org/10.2210/pdb1grm/pdb). (The trajectory is included as a test case trajectory `MULTIPDB_HOLE` with the MDAnalysis unit tests and the X-ray structure is included as `PDB_HOLE`.)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load packages " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Volumes/Data/oliver/Biop/Projects/Methods/MDAnalysis/mdanalysis/testsuite/MDAnalysisTests/__init__.py:109: UserWarning: \n", "This call to matplotlib.use() has no effect because the backend has already\n", "been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n", "or matplotlib.backends is imported for the first time.\n", "\n", "The backend was *originally* set to 'module://ipykernel.pylab.backend_inline' by the following code:\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/runpy.py\", line 193, in _run_module_as_main\n", " \"__main__\", mod_spec)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/runpy.py\", line 85, in _run_code\n", " exec(code, run_globals)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel_launcher.py\", line 16, in \n", " app.launch_new_instance()\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/traitlets/config/application.py\", line 658, in launch_instance\n", " app.start()\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/kernelapp.py\", line 486, in start\n", " self.io_loop.start()\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/tornado/ioloop.py\", line 888, in start\n", " handler_func(fd_obj, events)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/tornado/stack_context.py\", line 277, in null_wrapper\n", " return fn(*args, **kwargs)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/zmq/eventloop/zmqstream.py\", line 450, in _handle_events\n", " self._handle_recv()\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/zmq/eventloop/zmqstream.py\", line 480, in _handle_recv\n", " self._run_callback(callback, msg)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/zmq/eventloop/zmqstream.py\", line 432, in _run_callback\n", " callback(*args, **kwargs)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/tornado/stack_context.py\", line 277, in null_wrapper\n", " return fn(*args, **kwargs)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/kernelbase.py\", line 283, in dispatcher\n", " return self.dispatch_shell(stream, msg)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/kernelbase.py\", line 233, in dispatch_shell\n", " handler(stream, idents, msg)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/kernelbase.py\", line 399, in execute_request\n", " user_expressions, allow_stdin)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/ipkernel.py\", line 208, in do_execute\n", " res = shell.run_cell(code, store_history=store_history, silent=silent)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/ipykernel/zmqshell.py\", line 537, in run_cell\n", " return super(ZMQInteractiveShell, self).run_cell(*args, **kwargs)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/IPython/core/interactiveshell.py\", line 2728, in run_cell\n", " interactivity=interactivity, compiler=compiler, result=result)\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/IPython/core/interactiveshell.py\", line 2850, in run_ast_nodes\n", " if self.run_code(code, result):\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/IPython/core/interactiveshell.py\", line 2910, in run_code\n", " exec(code_obj, self.user_global_ns, self.user_ns)\n", " File \"\", line 2, in \n", " from MDAnalysis.analysis.hole import HOLEtraj\n", " File \"/Volumes/Data/oliver/Biop/Projects/Methods/MDAnalysis/mdanalysis/package/MDAnalysis/analysis/hole.py\", line 265, in \n", " import matplotlib.pyplot as plt\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/matplotlib/pyplot.py\", line 69, in \n", " from matplotlib.backends import pylab_setup\n", " File \"/Users/oliver/anaconda3/envs/mda_develop/lib/python3.6/site-packages/matplotlib/backends/__init__.py\", line 14, in \n", " line for line in traceback.format_stack()\n", "\n", "\n", " matplotlib.use('agg')\n", "MDAnalysis : INFO MDAnalysis 0.17.1-dev STARTED logging to 'MDAnalysis.log'\n" ] } ], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.analysis.hole import HOLEtraj\n", "from MDAnalysis.analysis.rms import RMSD\n", "\n", "from MDAnalysis.tests.datafiles import PDB_HOLE, MULTIPDB_HOLE\n", " \n", "mda.start_logging()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## System set up\n", "We take the X-ray structure as the reference and we want to analyze the ENM-mode trajectory so we load them into two separate universes:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "ref = mda.Universe(PDB_HOLE) # reference structure (needs MDAnalysis 0.17.1)\n", "u = mda.Universe(MULTIPDB_HOLE) # trajectory" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Order parameter calculation\n", "We calculate the all-atom RMSD from the reference structure as the order parameter $\\rho$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "MDAnalysis.analysis.rmsd: INFO RMS calculation for 260 atoms.\n", "MDAnalysis.analysis.base: INFO Starting preparation\n", "/Volumes/Data/oliver/Biop/Projects/Methods/MDAnalysis/mdanalysis/package/MDAnalysis/coordinates/base.py:821: UserWarning: Reader has no dt information, set to 1.0 ps\n", " warnings.warn(\"Reader has no dt information, set to 1.0 ps\")\n", "MDAnalysis.analysis.base: INFO Finishing up\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate RMSD\n", "R = RMSD(u, reference=ref, select=\"protein\", weights=\"mass\")\n", "R.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The timeseries of the orderparameter is `R.rmsd` (an N x 3 array, with each row `(frame, time, RMSD)`):" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "frame, _, rho = R.rmsd.transpose()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the trajectory from the ENM, time is meaningless so we just plot over frame number." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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/fcjxj96mYs++VLnyunJO5jvl9TqXuBTmzJlDr169GD16NOHhf5wV4nQ6WbduHXPnzmXSpEkles7169cTExNDvXr1+O677/70fikpKaSkpLhv5+TklDT2b8THx5f6sf5G9x4I2zeTN+MxrIemo6rXPOv9gmnNJRVqaw619cKfr1kf2I89+99QvxGFPfpyOoj+XcryOteqVavE91Xa4IHvS5YsYc2aNYSFhVFUVERBQQHt2rVj9OjRf/m47OzsUm0v2L559JGD2I/fA9VrYk18EhUe8Yf7BNuaSyLU1hxq64Wzr1kXFmD/6z44eQLr4RmoanGG0vlGeZWC13Y0/7xvwBP9+vUjLS2N2bNnM2bMGJo2bXrOQhC/UNVrui7luW8X+mUZnCdCl2vQ3Ww4+INr0F2QFUJ5OufHR9nZ2bzxxhtERUVx4403EhkZyf79+9m7dy/79u0jMzOTzMxM8vPziYqKIj09vRxii5+pFu1RV92Ifu9V7KRGWJ0uNx1JiHKn//sO+ss1qOv7oxo1Nx0noJ2zFKZOncpdd92F0+nk7rvv5vTp01iWRc2aNalTpw5NmjRhz549TJo0ifr165c6SJMmTWjSpEmpHx/K1PX9XcO+XpyDTqyLql3XdCQhyo3etQ297Fm4uC3q6ptMxwl45yyFqKgodu3ahdPppKioiIoVKzJkyBA6derkvs8HH3xA9erVfRpU/DnX4Lz7sB+/B3tuKtaDT6EqVjIdSwif0z+ewJ4/2TXobrAMuvOGc/4LTpgwgcLCQqpXr86sWbNo27Yt//nPf3jooYfYunVreWQUJaBiqmENGwc5h2RwnggJ2i7GfmYanMhznaBWqbLpSEHhnO8UoqOj6dmzp/v2iBEj6NmzJ0uWLOGxxx6jZcuWnJFLRvoF1bAJ6sbb0K8sQn+4wjUvSYggpd9eClu+Rg24E3VB6T+6Fr/l8RnNAAkJCYwbN47vv/+eF198kVOnTrF8+XL69+9PhQoVvJ1ReED97XrXZ6yvLsYOr0C+Bbp2PVRSsuloQniF3rWN40s+Rv93Jarj5ajOV5iOFFS8cp7C+vXrefnllzl16hSzZ8/2Rq6/JOcp/DV9Kh/7sbvg2FFQFjgcWGOfCJliCJXX+WehtF69axv2tAfhzBlQCnXP41iNLjYdq1wE1HkKrVu3ZvLkyfTp08cbTyfKSFWshGrZ0XVD21DsRG/fZDaUEF6gt3zjKgQAFOzZbjRPMCpxKaxcufIv9x0opejUqRMrV670SjBRNqpdFwj7+dNBhbqomdE8QniDztrt+oNS4HDI/2sfKPE+hby8PEaPHk3Lli1p3LgxtWrVIjIyksLCQrKzs9myZQtff/01Xbt29WVeUUIqKRlr3L+wli/CuXMr/HjcdCQhysT+YjVs+AzadaFyw8ackn1lPuHRPoUTJ07w8ccfs3HjRvbt20d+fj6VK1cmMTGRli1b0rVrV6pU8f31T2WfQsnFRVfh8LihcOQg1sN/PjgvmITa6xwK69XZ+7AnjYXEJKyxT1C9Zs2gX/Pvldc+BY+OPoqOjqZXr1706tXL41DCDBVRAWvEBOwn7sFOS8WaOPmsg/OE8Fe68BT23FSIjMIaPg7lKNVBk6KE5PS/EOAanHcv7NuNfmm+6ThClJjWGv3cbDiUjTVsHKqqDLrzNSmFEKGau+bC6P99gP3pKtNxhCgR/dHb6HX/Q/XuLzuVy4mUQghR1/0dki9GvzgXvX+P6ThC/CW9axv6lWeheTvUlTeYjhMySl0Kx48fZ9u2bRw4cMCbeYQP/Tw4j0qVsef+G33qpOlIQpyV/vE49rzJEFsda/AYGXRXjkq1x+add97h+eefJzY2llOnThEdHU3//v1p166dt/MJL1PRVbGGj8ee+iD2oplYo+5HKWU6lhBu2i7GXjAVfjyOdf9kVEUZdFeeSlUKK1as4KGHHqJp06Zordm0aRMLFy6ksLCQLl26eDuj8DJVvzHqxkHoZQvRH7wub82FX9FvvQxbv0ENvAuVmGQ6Tsgp1Xsyp9NJcrLrpBGlFBdffDH33Xcfr776qlfDCd9RKb2gdSf0a8+hv99sOo4QAOhN69FvL0Vd0h1LBt0ZUapS6Nix4x/GWdSsWZPjx+Ws2UChlMK6bTRUPx97/hR0Xq7pSCLE6aOHsRc+BbXrovqNMB0nZJWqFAYOHMg333zD448/znvvvccnn3zC008/TY8ePbydT/iQiqqINWICFORjL5iCLi42HUmEKH3mjOsENbsYa+QEVISM4DelVPsUIiMjefjhh9mwYQNfffUVO3bs4ODBgxw4cICsrCwSEhJISEjg0ksv9XZe4WWq9oWo/nein52Ofv151E2DTEcSIUgvewYyd2KNegBVo+QjGYT3lel88VatWtGqVSsAiouL+eGHH8jMzCQzM5M1a9ZIKQQIq2M37J1b0e+/hq6fjGrRwXQkEULszz9Gf/wu6sreqJbyf880rw0RCQsLIzExkcTERDp37uytpxXlRN0yFJ25E/vZp7EeugBV43zTkUQI0D9kop+fDQ2boHoPNB1HIGc0i5+o8AjX/gWlsOemootOm44kgpwu+NWguzvGocLCTEcSePGdQmkUFRXx6KOP4nQ6KS4upkOHDnL1NoNU/HlYQ+/Fnvl/6CXzUINGm44kgpTWGnvxTDhywHWp2KqxpiOJnxgthfDwcB599FEiIyNxOp088sgjtGjRgoYNG5qMFdJUszaoa/qg31mGXb8R1qV/Mx1JBCG96k1YvxZ10yBUw6am44hfKVUpZGVlsXXrVk6ePEnlypVJTk6mTp06Hj+PUorIyEjAtaO6uLhYRi74AdXrVvTu7egl89CJSajEeqYjiSCid25BL0+HFh1QV/Q2HUf8jkeloLVm7ty5rF69mri4OKpVq0Zubi7Hjh2jS5cujBw50uMf6rZtM2HCBA4ePMiVV15JgwYNPHq88D5luQbn2f83xnVhnoeekvkzwiv0ibxfBt3dPlp+CfRDHl2O88MPP+SNN95gzJgx1K9f3/33O3fu5Omnn6Znz55ccUXpTk3Pz89n6tSp3H777SQmJv7maxkZGWRkZACQmppKUVFRqbbhcDhwOp2lemygKsuai7Zt4thDo6jQuhMxE1MD5hs41F7nQFmvLi4m7//uoWjbt8SmLiC8bul/AQyUNXtTWdYcEVHyqy16VAoPP/ww119/Pa1bt/7D19avX8+KFSt4/PHHS7zx33vllVeoUKHCOS/3KddoLrmyrtnOeBO99BnUjbdhXXWjF5P5Tqi9zoGyXvv1F9Arl6EGjca6JKVMzxUoa/am8rpGs0eHpGZlZdG4ceOzfq1x48ZkZWV58nScOHGC/Px8wHUk0qZNm0hISPDoOYRvqe49UW0uRb/2PHr7JtNxRIDS365zFcKlfytzIQjf8mifgm3bREVFnfVrUVFR2Lbt0caPHTvG7NmzsW0brTUdO3Y867sQYY5SCm67C521B3v+FKyHZ8jhg8IjOucQ9sLpUKcu6tZhpuOIc/CoFIqLi9m8+c/HLHtaChdccAGTJ0/26DGi/KnIilgj7sf+11js+ZOx7n0C5TB6NLMIEPpMEXbak6A11sj7ZdBdAPDoOzsmJoa5c+f+6dejo6PLHEj4J5WQiBpwJ3rhU67BeTffbjqSCAD65Z8G3d35IKp6TdNxRAl4VAqzZ8/2VQ4RAKwOl2Hv2or+4HV0UjKqVUfTkYQfs9d+hF7zHuqqG1Et2puOI0pIZh8Jj6g+Q+HCBtjpT6MPle4oMBH8dNZe9Itz4KJmqOv7m44jPOBRKezevZt9+/a5bx8/fpyZM2cybtw45s+fT2FhodcDCv+iwsNdg/OsMOy0VPRpGZwnfkufyncNuouqjDXsPhl0F2A8KoX09HTy8vLct+fNm8eBAwfo3r07+/fv54UXXvB6QOF/VFwNrKH3wg+Z6CVpeHCqiwhy7kF3OQexho1DRVczHUl4yKNS+OGHH2jUqBHgOgP566+/5u677+aqq67iH//4B+vXr/dJSOF/VNPWqGv6oteuQn/yoek4wk/oD9+ADZ+hbrwN1bCJ6TiiFDwqheLiYhw/HYq4Y8cOqlat6j5TLj4+3n0imggNqmdfaNzSNTgvc5fpOMIwvWML+tV0aNUR9bfrTccRpeRRKdSpU4fPPvsMgE8//ZRmzZq5v5abm0vFihW9m074NWWFYQ0dC1ViXPsX8k+ajiQM0SeOuQbdxZ+HdZsMugtkHpXC3//+dxYsWMDtt9/Ohg0buP76X34bWLt2LRdddJHXAwr/pqpEYw0fD8eOYi+agfbwBEYR+HRxMfb8qVBwEmvkRFTFSqYjiTLw6DyF5ORk5syZw4EDBzj//PN/M/KiVatWdOrUyesBhf9TScmomwejX56Pfv811NU3mY4kypF+40XYvgl1+z9QteuajiPKyKNS+HlCX3R0NPn5+b/ZhxAREeHxmAsRPNTl18CurejXX0DXbYhKvth0JFEO9Ddfot9djup8BVan7qbjCC/wqBTuvPPOc95n6dKlpQ4jApdSCgbehd6/B3vuv1Fdr0I1b49KSjYdTfiIvf5T9MKn4LwEGXQXRDwqhcTERM6cOUPXrl3p3LkzsbEyLVP8QkVGoa7tg37mKfS7r6Iz3nJdlF2KIejY2zeh500GrSH3MOzbDfI6BwWPSmHKlCns27eP1atX88gjj5CQkECXLl1o3769R1f2EUHs6BFQyvXD4kwRevsmKYUgpJcvcr3GAMXF8joHEY9nHyUmJjJgwABmzZrFNddcw/r16xk2bBi7d+/2RT4RYNRFzcAR/stfyMnOQcf+dBXs3QlWGFgWhDlcr7sICqUein/w4EG2bNnCjh07qFu3LpUry4XdhetIJGvsE+it36C/XIN+bzm6dSdUTbmiXjDQ+/egX5wLyRejet0KO7agLmom7xKCiEelcPLkST755BNWr15NYWEhnTt35p///Cfx8fG+yicCkEpKRiUloztejv3EGOy0VKz7p6IqyAVWApk+lY+dlgqVKmPdcR8quio0kFEWwcajUhg+fDg1atSgc+fONGzYEHC9Yzh48KD7Pk2bNvVuQhGwVFx1rKH3YT/9mGuM8u1j5EzXAKW1xl70NBw9jHXfJFchiKDkUSlUrVqVoqIiVq1axapVq/7wdaUUs2bN8lo4EfhUk5aoa29Bv/US1G+E6nKV6UiiFPQHK2Dj56g+Q1D1G5uOI3xIrrwmfE5d2xe9exv6pfnoC+qjLqhvOpLwgP5+M/q1xdC6Eyqll+k4wse8duW1zMxMnnrqKW89nQgiyrKwhoyF6KrYc1PR+T+ajiRKSB8/hj1/ClQ/XwbdhQiPSuH06dO8/PLLpKamsnjxYk6dOsWhQ4eYMmUKDz30ENHR0b7KKQKcqhKNNWIi5OViL5wug/MCgGvQ3RQoyMcaMQEVJVOQQ4FHHx8tXLiQPXv20Lx5czZu3Mi+ffvIzs6ma9euDB8+XEpB/CVVtyGq7xDX9RfeXY66po/pSOIv6BUvwPebUYPvQdW+0HQcUU48KoVvvvmGyZMnExMTw9VXX82oUaN47LHH3Fdj81ROTg6zZ88mLy8PpRQpKSn06NGjVM8lAoO6rAfs3Ip+Ywm63kWoRs1NRxJnoTd+jn7vVVSXq7A6djMdR5Qjj0qhsLCQmJgYAOLi4oiMjCx1IQCEhYUxYMAA6tWrR0FBARMnTuTiiy+mdu3apX5O4d+UUjDgTtfgvAVTsR6egaoWZzqW+BV9+AD2s0/DBfVRtww1HUeUM49Kobi4mM2bN//m735/25PzFKpVq0a1aq4Le0dFRZGQkEBubq6UQpBTkVFYI+/HnjQWe96TWPf9C+Uo9cn1wot00WnsuamglGs/QrjMNAs1Hn0nxsTEMHfuXPftypUr/+Z2Wc5TOHz4MHv27KF+fTlcMRSo82ujbrsbPX8y+tV0VF/5jdQf6CXzIGsP1uhHUPHnmY4jDFBaa+MjywoLC3n00Ue54YYbaN++/R++npGRQUZGBgCpqakUFRWVajsOhwOn01mmrIHG39d84pnpFLzzCjH3PUHkJZd75Tn9fc3e5q31FmS8zYnZ/6LSzYOo3M+/r48Qaq8xlG3NnkyxNl4KTqeTJ5+caPHHAAAS6UlEQVR8kubNm3PttdeW6DHZ2dml2lZ8fLz76nGhwt/XrJ1nsKc+CFmZWA9NQ9Us+0eH/r5mb/PGevW+3dip46F+I6wxj6GsMC+l841Qe42hbGuuVatWie/rtZPXSkNrTVpaGgkJCSUuBBFclCMca9h4CA93ndh2utB0pJCjT538adBdFdegOz8vBOFbRkth+/btrFmzhs2bNzNu3DjGjRvHhg0bTEYSBqjYeKw7xsKB/egX5uAHn2iGDPegu9wjrh3LVWJMRxKGGT3kIzk5mWXLlpmMIPyEatwS1etW9BtLIKkR6rKrTUcKCfr912DjF6i+Q+WaCAIw/E5BiF9TPfpA09bopQvQe3eYjhP09PbN6NeeR7W5FNW9p+k4wk9IKQi/4Rqcdw9EV8NOexJ98oTpSEFL5+Viz58M552Puu0uGXQn3KQUhF9RlX8anHdcBuf5inY6XYVQWIA14n5UpAy6E7+QUhB+R9VtgOp7B2xej14p+5y8Tb/+vOvaygPuRCUkmo4j/IyUgvBLqutVqA6Xod98Cb3la9Nxgobe8Bn6g9dRl/XA6nCZ6TjCD0kpCL+klEL1HwXn18FeMA2de8R0pICnD2Vjpz8NdRui+gwxHUf4KSkF4bdUhUiskRPBeQZ73mS084zpSAFLnz7tOkHNCsMaPh4VHm46kvBTUgrCr6matbEGjYbd29HL003HCUhaa/SSNPghE2vovai4GqYjCT8mpSD8nmp9CSqlF3rVW9jr/mc6TsDRn3yIXrsKdU1fVNPWpuMIPyelIAKCunEQJCWjF89CH8gyHSdg6MxdrnHYjVuievY1HUcEACkFERCUw4E1fAJERGDP/Te6sMB0JL+n838adFclBmvoWBl0J0pESkEEDFUtDuuO++DgD+jnZXDeX9G2jb1oBhw76tqxXCXadCQRIKQUREBRjZqjruuH/nI1+uN3TcfxW/r91+CbL1E3D5ZBd8IjUgoi4Kirb4JmbdBLn0Hv+d50HL+jt32Lfv0FVNvOqMuvMR1HBBgpBRFw3IPzqsZip6Wif5TBeT/Tx45iz58CNRNQA2XQnfCclIIISKpSFdeJbSfysBdOQ9vFpiMZ5x50V3Qaa+REVGSU6UgiAEkpiIClLqiPunUYfPc1+m0ZnKdfWww7t7reIZxfx3QcEaCkFERAU52vRHXshn77ZfTm0L2Uq16/Fv3hG6hu12C162I6jghgRi/HKURZKaXg76PQ+3ZjL5yGGnAX+T8eQ9euFxJH3ehd2/jxzQ3Y77/206C7waYjiQAnpSACnqpQAWvEROzH/4FOS+WkUhDmwBr7RFAXg961DXvaQ5w6UwSAuupGlEMG3YmykY+PRFBQNRNQLTuC1mDbUOxEb99kOpZP6e2b4KdCQCk4KOM/RNlJKYigobpdA9ZP/6WVhbqomdlAPqYL8l1/UAoc4UG/XlE+5OMjETRUUjJq7CRU+tPYebkQFbzXHtaZOyHjTajbkEqdulFQJymoPyoT5UfeKYigYjVsQmzqPIiMwp6bii48ZTqS1+n8H7HnpkJ0Vay7H6HyTbdJIQivMVoKc+bMYejQoYwdO9ZkDBFkwmKrYw0bB4ey0c/NDqrBedq2sRdOh7xcrBETZdCd8DqjpXDZZZfxwAMPmIwggpRKvhh1/d/R6/6H/ugd03G8Rr+7HDZ9heo7BFW3oek4IggZLYXGjRtTuXJlkxFEEFNX3QgXt0W/8ix61zbTccpMb/0G/cYSVLsuqMt6mI4jgpTsUxBBS1kW1uB7oFoc9rzJ6B+Pm45UavrYUewFU12D7gbcKYPuhM8ExNFHGRkZZGRkAJCamkp8fHypnsfhcJT6sYEq5NccH8+Z+1PJnTgcx+KZVH34KVRYYF2BTDudHJv2IPrMGWIfeBJH7d/ONQr51zhElNeaA6IUUlJSSElJcd/Oyckp1fPEx8eX+rGBStYMRMehbh1G0XOzOJI+G+u6fubClYK99Bn0tk2oYePJi6wMv3s95TUODWVZc61atUp8X/n4SIQEdenfUJ26o99Zit683nScEtNffYLOeBPVvSdW20tNxxEhwGgpzJgxg4ceeojs7GxGjBjBRx99ZDKOCGJKKVS/EZBwAfYzT6GPHjYd6Zz0wSzs9P9AUjLqpkGm44gQYfTjozFjxpjcvAgxqkIFrJETsZ+4FzvtSazxqahw/xwgp08Xuk5QCw/HGjZeBt2JciMfH4mQomrUwhr0D9i7A71soek4Z6W1Rr8wBw7sx7pjLCo2tHaoCrOkFETIUa06oq7ojf54JfbnH5uO8wd69Xvozz9G9boV1bil6TgixEgpiJCkbhgIDRqjn5+N/mGf6Thueu8O9NIF0LQ1qkcf03FECJJSECFJhYVhDRvvGpyX9m+/GJynT57ATnsSoqthDbkHZcm3pyh/8r9OhCxVNfanwXkH0On/MTo4zz3o7vhPg+4qy6A7YYaUgghp6qJmqN4D0Os/Ra96y1gOvfIV2Lwe1Xcoqm4DYzmEkFIQIU9ddQM0b4devgi9c2u5b19v+Rr95hJU+66orleX+/aF+DUpBRHylFJYg8dAbHXX4LwTeeW2bZ17BHvBNDi/jgy6E35BSkEIQFWsjDViApw8gf3MNLRd7PNtaucZ7HmT4cwZrJETURUifb5NIc5FSkGIn6jEJFS/4bD1G/SbL/l8e3p5OuzejjXoblTN2j7fnhAlIaUgxK9Yna9AXZKCfmcZ+tt1PtuOve5/6FVvoVJ6odrIoDvhP6QUhPgd1W841KmLvXA6OueQ159fH8hCL57lGnR34yCvP78QZSGlIMTvqIgKWCMmgtbYaU+izxR57bl1YQH23H9DRATW8AkoR0Bc0kSEECkFIc5C1Tgfa/A/IHMn+uVnvPKcWmv083Pg4A9Yd9yHqhbnlecVwpukFIT4E6pFB9SVN6DXvIf92X/L/Hz643fRX65GXdcP1ai5FxIK4X1SCkL8BdV7ADRsin5hNjprb6mfR+/5Hr30GWjWBnX1Td4LKISXSSkI8Rdcg/PGQVQl7Lmp6ALPB+e5B91VjZVBd8Lvyf9OIc5BxVRzFUPOQez0mR4NznMNunsKThzDGjEBVamKD5MKUXZSCkKUgGrY1HUNhg1r0Rlvlvhx+p1lsHkD6pZhqAtl0J3wf1IKQpSQuqI3tOiAfjUdvXPLOe+vN29Av/USqkM3VJcryyGhEGUnpSBECSmlsG4f/avBecf+9L766BHshdOgViKq/ygZdCcChpSCEB5QFStjjbwf8k9iz5+KLv7j4DzXoLsnwel0XTCnQgUDSYUoHSkFITyk6tRF/X0EbN+EfuPFP3xdL3sW9nyPNWg0qmaCgYRClJ7xc+w3btzIokWLsG2b7t27c/3115uOJMQ5WZekYO/cin53OTopGdW8HQD2l2vQ/30HlXIdqvUlhlMK4Tmj7xRs22bhwoU88MADTJ8+nU8//ZSsrCyTkYQoMXXrMNfgvGeno48cRGfvQz83C+o3Qt14m+l4QpSK0VLYuXMnNWvW5LzzzsPhcNCpUyfWrfPduGIhvElFVHDtXwDspx/DnvoghIVhDRsvg+5EwDJaCrm5ucTF/TIULC4ujtzcXIOJhPCMql4TdfXNcCgbfjwORUWQe8R0LCFKzeivM2c7M/Rsh+5lZGSQkZEBQGpqKvHx8aXansPhKPVjA5Ws2ffyoyI5qRRoDXYxFbN2U6l9+V04R17j0FBeazZaCnFxcRw9etR9++jRo1SrVu0P90tJSSElJcV9Oycnp1Tbi4+PL/VjA5Ws2fd07XrgCIdiJ4Q5OFW7HgXluH15jUNDWdZcq1atEt/XaCkkJSVx4MABDh8+TGxsLGvXrmX06NEmIwnhMZWUjDX2CfT2TaiLmqGSkk1HEqLUjJZCWFgYgwcPZtKkSdi2Tbdu3ahTp47JSEKUikpKljIQQcH4IRKtWrWiVatWpmMIIYRAzmgWQgjxK1IKQggh3KQUhBBCuEkpCCGEcJNSEEII4aa0JxecFUIIEdRC6p3CxIkTTUcod7Lm4Bdq6wVZsy+FVCkIIYT4a1IKQggh3MIee+yxx0yHKE/16tUzHaHcyZqDX6itF2TNviI7moUQQrjJx0dCCCHcjA/EKw8bN25k0aJF2LZN9+7duf76601H8qmcnBxmz55NXl4eSilSUlLo0aOH6VjlwrZtJk6cSGxsbEgcoZKfn09aWhr79+9HKcXIkSNp2LCh6Vg+9fbbb/PRRx+hlKJOnTqMGjWKiIgI07G8as6cOWzYsIGYmBimTZsGwMmTJ5k+fTpHjhyhevXq3HPPPVSuXNnr2w76dwq2bbNw4UIeeOABpk+fzqeffkpWVpbpWD4VFhbGgAEDmD59OpMmTeL9998P+jX/bOXKlSQkJJiOUW4WLVpEixYtmDFjBlOmTAn6tefm5vLuu++SmprKtGnTsG2btWvXmo7ldZdddhkPPPDAb/5uxYoVNGvWjJkzZ9KsWTNWrFjhk20HfSns3LmTmjVrct555+FwOOjUqRPr1q0zHcunqlWr5t4hFRUVRUJCQkhc+/ro0aNs2LCB7t27m45SLk6dOsXWrVu5/PLLAdflGitVqmQ4le/Ztk1RURHFxcUUFRWd9WqNga5x48Z/eBewbt06unbtCkDXrl199nMs6D8+ys3NJS4uzn07Li6OHTt2GExUvg4fPsyePXuoX7++6Sg+l56eTv/+/SkoKDAdpVwcPnyY6Oho5syZQ2ZmJvXq1WPQoEFERkaajuYzsbGx9OzZk5EjRxIREUHz5s1p3ry56Vjl4vjx4+4CrFatGidOnPDJdoL+ncLZDq5SShlIUv4KCwuZNm0agwYNomLFiqbj+NT69euJiYkJqcMUi4uL2bNnD1dccQWTJ0+mQoUKPvtIwV+cPHmSdevWMXv2bObNm0dhYSFr1qwxHSuoBH0pxMXFcfToUffto0ePBuXbzd9zOp1MmzaNzp070759e9NxfG779u189dVX3HnnncyYMYPNmzczc+ZM07F8Ki4ujri4OBo0aABAhw4d2LNnj+FUvrVp0yZq1KhBdHQ0DoeD9u3b8/3335uOVS5iYmI4duwYAMeOHSM6Oton2wn6UkhKSuLAgQMcPnwYp9PJ2rVradOmjelYPqW1Ji0tjYSEBK699lrTccpFv379SEtLY/bs2YwZM4amTZsyevRo07F8qmrVqsTFxZGdnQ24fmDWrl3bcCrfio+PZ8eOHZw+fRqtNZs2bQr6nes/a9OmDatXrwZg9erVtG3b1ifbCYmT1zZs2MDixYuxbZtu3bpxww03mI7kU9u2beORRx4hMTHR/VHZrbfeGjLXwv7uu+946623QuKQ1L1795KWlobT6aRGjRqMGjXKJ4cp+pNly5axdu1awsLCuPDCCxkxYgTh4eGmY3nVjBkz2LJlCz/++CMxMTH06dOHtm3bMn36dHJycoiPj+fee+/1yWsdEqUghBCiZIL+4yMhhBAlJ6UghBDCTUpBCCGEm5SCEEIINykFIYQQblIKQgDZ2dmMHz+egQMHsnLlStNxhDBGDkkVApg7dy5RUVEMGjTIdBQhjJJ3CkLgugZFnTp1zvo127bLOY0Q5sg7BRHy/vnPf7JlyxYcDgeWZdGmTRsqVqxITk4OW7ZsYdy4cTidTl5++WUOHTpExYoV6datG3369AFc00rvuusuRo4cybJlyygsLOTWW2+lXr16pKWlkZOTQ+fOnRkyZIh7mx999BFvvfUWeXl51K9fn2HDhlG9enVT/wRC/EILIfSjjz6qMzIytNZaz5o1Sw8cOFBv3bpVFxcX69OnT+vNmzfrzMxMXVxcrPfu3auHDh2qv/jiC6211ocOHdI333yznjdvnj59+rTeuHGj7tevn37yySd1Xl6ePnr0qB4yZIj+7rvvtNZaf/HFF/quu+7S+/fv106nUy9fvlw/+OCDxtYuxK/Jx0dCnEXbtm1JTk7GsiwiIiJo0qQJiYmJWJbFBRdcwCWXXMKWLVt+85ibbrrJPeO/QoUKXHrppcTExBAbG0tycrJ7gmlGRga9e/emdu3ahIWF0bt3b/bu3cuRI0dMLFWI3wj6i+wIURq/vjATwI4dO1iyZAn79u3D6XTidDrp0KHDb+4TExPj/nNERMQfbhcWFgJw5MgRFi1axHPPPef+utaa3Nxc+QhJGCelIMRZ/P5CTDNnzuTKK6/k/vvvJyIigvT09FJf+So+Pp4bbriBzp07eyOqEF4lHx8JUQIFBQVUrlyZiIgIdu7cySeffFLq5/rb3/7GihUr2L9/P+C61vJnn33mrahClIm8UxCiBIYOHcpzzz3Hs88+S+PGjenYsSP5+fmleq527dpRWFjIjBkzyMnJoWLFijRr1oyOHTt6ObUQnpNDUoUQQrjJx0dCCCHcpBSEEEK4SSkIIYRwk1IQQgjhJqUghBDCTUpBCCGEm5SCEEIINykFIYQQblIKQggh3P4fXGuHOvV7yZQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "ax.plot(frame, rho, '.-')\n", "ax.set_xlabel(\"frame\")\n", "ax.set_ylabel(r\"RMSD $\\rho$ ($\\AA$)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the ENM trajectory is symmetric to frame 5 (the original X-ray structure) and the mode deforms the structure so that the RMSD increases nearly linearly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## HOLE\n", "Run [HOLE](http://www.smartsci.uk/hole/) on all 11 frames of the trajectory in universe `u` and match the frames to the RMSD:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "MDAnalysis.analysis.hole: INFO HOLE analysis frame 0 (orderparameter 6.10501)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpgb079n8a.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpgb079n8a.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 1 (orderparameter 4.88398)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpcchs8ex1.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpcchs8ex1.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 2 (orderparameter 3.66304)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpj2x_ll39.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpj2x_ll39.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 3 (orderparameter 2.44202)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpau6yv34d.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpau6yv34d.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 4 (orderparameter 1.22101)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp65exmo_2.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp65exmo_2.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 5 (orderparameter 1.67286e-07)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpjan1v538.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpjan1v538.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 6 (orderparameter 1.221)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp7ywiy3t4.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp7ywiy3t4.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 7 (orderparameter 2.44202)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpb1_cfq5k.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpb1_cfq5k.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 8 (orderparameter 3.66303)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpqrz1nuyg.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpqrz1nuyg.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 9 (orderparameter 4.88398)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp3rp40h_v.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmp3rp40h_v.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n", "MDAnalysis.analysis.hole: INFO HOLE analysis frame 10 (orderparameter 6.10502)\n", "MDAnalysis.analysis.hole: INFO Setting up HOLE analysis for '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpa57uguid.pdb'\n", "MDAnalysis.analysis.hole: INFO Using radius file 'simple2.rad'\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CPOINT\n", "MDAnalysis.analysis.hole: INFO HOLE will guess CVECT\n", "MDAnalysis.analysis.hole: INFO Starting HOLE on '/var/folders/ds/z7mbf7nx1gn31308g31t9tcc0000gp/T/tmpa57uguid.pdb' (trajectory: None)\n", "MDAnalysis.analysis.hole: INFO HOLE finished: output file 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collecting HOLE profiles for run with id 1\n", "MDAnalysis.analysis.hole: INFO Run 1: Reading 1 HOLE profiles from 'hole.out'\n", "MDAnalysis.analysis.hole: INFO Collected HOLE radius profiles for 1 frames\n" ] } ], "source": [ "# HOLE analysis with order parameters\n", "H = HOLEtraj(u, orderparameters=R.rmsd[:,2], \n", " executable=\"~/hole2/exe/hole\")\n", "H.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization of pore profiles " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a quick check, plot the pore profiles $R_\\rho(\\zeta)$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "H.plot3D(rmax=2.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 2D plot clearly shows how the pore profile opens up with increasing order parameter (i.e., increasing strength of the deformation along the mode):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = H.plot()\n", "ax.set_ylim(1, 3)\n", "ax.set_xlim(-15, 35)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis of the minimum pore radius\n", "Is the motion one that could possibly gate the pore, i.e., change the pore radius to a radius that makes more ions pass through? (Note: gA is already open so scientifically this is not a great question...)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We collect the minimum pore radius from each profile \n", "\n", "$$\n", "r(\\rho) = \\min_\\zeta R_\\rho(\\zeta)\n", "$$\n", "\n", "and store it together with the corresponding order parameter:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "r_rho = np.array([[rho, profile.radius.min()] for rho, profile in H])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot shows quantitatively that the pore opens up. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "ax.plot(r_rho[:, 0], r_rho[:, 1], lw=2)\n", "ax.set_xlabel(r\"order parameter RMSD $\\rho$ ($\\AA$)\")\n", "ax.set_ylabel(r\"minimum HOLE pore radius $r$ ($\\AA$)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparison to the stacked pore profile plots it is clear that the constriction itself changes position. We can calculate the constriction point along the pore axis\n", "$$\n", "\\zeta_0(\\rho) = \\text{arg} \\min_\\zeta R_\\rho(\\zeta)\n", "$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "zeta0_rho = np.array([[rho, profile.rxncoord[np.argmin(profile.radius)]] \n", " for rho, profile in H])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot clearly shows that for $\\rho < 2.5$ A, the constriction is near the end but for larger distortions it is close to the center of the pore." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "ax.plot(zeta0_rho[:, 0], np.abs(zeta0_rho[:, 1]), lw=2)\n", "ax.set_xlabel(r\"order parameter RMSD $\\rho$ ($\\AA$)\")\n", "ax.set_ylabel(r\"position of constriction $|\\zeta_0|$ ($\\AA$)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(For the plot I symmetrized $\\zeta_0$ using `np.abs(zeta0)` because for small $\\rho$, either of the two constriction sites near the ends is closed. However, the HOLE search procedure will typically not exactly reproduce the symmetry. For real work one might want to average over the two lowest values near the inside and the outside.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## See Also\n", "* [MDAnalysis.analysis.hole](https://www.mdanalysis.org/docs/documentation_pages/analysis/hole.html) documentation\n", "* notebook [MDAnalysis HOLE Basics](https://nbviewer.jupyter.org/blob/master/analysis/hole-basics.ipynb)" ] }, { "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": "3.6.4" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 1 }