{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysing pore dimensions with HOLE2\n", "\n", "Here we use `HOLE` to analyse pore dimensions in a membrane.\n", "\n", "**Last executed:** Feb 20, 2020 with MDAnalysis 1.0.0\n", "\n", "**Last updated:** February 2020\n", "\n", "**Minimum version of MDAnalysis:** 1.0.0\n", "\n", "**Packages required:**\n", " \n", "* MDAnalysis (Michaud-Agrawal *et al.*, 2011, Gowers *et al.*, 2016)\n", "* MDAnalysisTests\n", "* [HOLE](http://www.holeprogram.org)\n", "* matplotlib\n", "* numpy\n", "\n", "
\n", " \n", "**Note**\n", "\n", "The classes in `MDAnalysis.analysis.hole2` are wrappers around the HOLE program. Please cite (Smart *et al.*, 1993, Smart *et al.*, 1996) when using this module in published work.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import MDAnalysis as mda\n", "from MDAnalysis.tests.datafiles import PDB_HOLE\n", "from MDAnalysis.analysis import hole2\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background\n", "\n", "The `MDAnalysis.analysis.hole2` module ([API docs](https://docs.mdanalysis.org/stable/documentation_pages/analysis/hole2.html)) provides wrapper classes and functions that call the [HOLE](http://www.holeprogram.org) program. This means you must have installed the program yourself before you can use the class. You then need to pass the path to your ``hole`` executable to the class; in this example, ``hole`` is installed at ``~/hole2/exe/hole``.\n", "\n", "HOLE defines a series of points throughout the pore from which a sphere can be generated that does not overlap any atom (as defined by its van der Waals radius). (Please see (Smart *et al.*, 1993, Smart *et al.*, 1996) for a complete explanation). By default, it ignores residues with the following names: \"SOL\", \"WAT\", \"TIP\", \"HOH\", \"K \", \"NA \", \"CL \". You can change these with the ``ignore_residues`` keyword. Note that the residue names must have 3 characters. Wildcards *do not* work.\n", "\n", "This tutorial first demonstrates how to use the ``MDAnalysis.analysis.hole2.hole`` function similarly to [the HOLE binary on a PDB file](#Using-HOLE-with-a-PDB-file). We then demonstrate how to use the ``MDAnalysis.analysis.hole2.HoleAnalysis`` class on a [trajectory of data](#Using-HOLE-with-a-trajectory). You may prefer to use the more fully-featured ``HoleAnalysis`` class for the extra functionality we provide, such as creating an animation in VMD of the pore." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using HOLE with a PDB file \n", "\n", "The `hole` function allows you to specify points to begin searching at (`cpoint`) and a search direction (`cvect`), the sampling resolution (`sample`), and more. Please see the documentation for full details.\n", "\n", "The PDB file here is the experimental structure of the Gramicidin A channel. Note that we pass `HOLE` a PDB file directly, without creating a `MDAnalysis.Universe`.\n", "\n", "We are setting a `random_seed` here so that the results in the tutorial can be reproducible. This is normally not advised." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "profiles = hole2.hole(PDB_HOLE, \n", " executable='~/hole2/exe/hole',\n", " outfile='hole1.out',\n", " sphpdb_file='hole1.sph',\n", " vdwradii_file=None,\n", " random_seed=31415)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`outfile` and `sphpdb_file` are the names of the files that HOLE will write out. `vdwradii_file` is a file of necessary van der Waals' radii in a HOLE-readable format. If set to ``None``, MDAnalysis will create a `simple2.rad` file with the built-in radii from the HOLE distribution.\n", "\n", "This will create several outputs in your directory:\n", "\n", " - **hole1.out**: the log file for HOLE. \n", " - **hole1.sph**: a PDB-like file containing the coordinates of the pore centers.\n", " - **simple2.rad**: file of Van der Waals' radii\n", " - **tmp/pdb_name.pdb**: the short name of a PDB file with your structure. As `hole` is a FORTRAN77 program, it is limited in how long of a filename that it can read. Symlinking the file to the current directory can shorten the path.\n", " \n", "If you do not want to keep the files, set `keep_files=False`. Keep in mind that you will not be able to create a VMD surface without the sphpdb file.\n", " \n", "The pore profile itself is in the `profiles1` dictionary, indexed by frame. There is only one frame in this PDB file, so it is at `profiles1[0]`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(425,)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles[0].shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each profile is a ``numpy.recarray`` with the fields below as an entry for each `rxncoord`: \n", "\n", " - **rxn_coord**: the distance along the pore axis in angstrom\n", " - **radius**: the pore radius in angstrom\n", " - **cen_line_D**: distance measured along the pore centre line - the first point found is set to zero." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "('rxn_coord', 'radius', 'cen_line_D')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "profiles[0].dtype.names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can then proceed with your own analysis of the profiles. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The pore is 42.4 angstroms long\n" ] } ], "source": [ "rxn_coords = profiles[0].rxn_coord\n", "pore_length = rxn_coords[-1] - rxn_coords[0]\n", "print('The pore is {} angstroms long'.format(pore_length))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can create a VMD surface from the `hole1.sph` output file, using the `create_vmd_surface` function." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'hole1.vmd'" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hole2.create_vmd_surface(filename='hole1.vmd',\n", " sphpdb='hole1.sph',\n", " sph_process='~/hole2/exe/sph_process')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To view this, open your PDB file in VMD.\n", "\n", "`vmd tmp*/*.pdb`\n", "\n", "Load the output file in Extensions > Tk Console:\n", "\n", "`source hole1.vmd`\n", "\n", "Your pore surface will be drawn as below.\n", "\n", "
\n", "
\n", "\n", "![sphpdb.png](sphpdb.png)\n", " \n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MDAnalysis supports many of the options that can be customised in HOLE. For example, you can specify a starting point for the pore search within the pore with `cpoint`, and a ``sample`` distance (default: 0.2 angstrom) for the distance between the planes used in HOLE. Please see the [MDAnalysis.analysis.hole2](https://www.mdanalysis.org/docs/documentation_pages/analysis/hole2.html) for more information." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using HOLE with a trajectory\n", "\n", "One of the limitations of the ``hole`` program is that it can only accept PDB files. In order to use other formats with ``hole``, or to run ``hole`` on trajectories, we can use the ``hole2.HoleAnalysis`` class with an ``MDAnalysis.Universe``. While the example file below is a PDB, you can use any files to create your Universe. You can also specify that the HOLE analysis is only run on a particular group of atoms with the `select` keyword (default value: 'protein').\n", "\n", "As with `hole()`, `HoleAnalysis` allows you to select a starting point for the search (`cpoint`). You can pass in a coordinate array; alternatively, you can use the center-of-geometry of your atom selection in each frame as the start." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from MDAnalysis.tests.datafiles import MULTIPDB_HOLE\n", "\n", "u = mda.Universe(MULTIPDB_HOLE)\n", "\n", "ha = hole2.HoleAnalysis(u, select='protein',\n", " cpoint='center_of_geometry',\n", " executable='~/hole2/exe/hole')\n", "ha.run(random_seed=31415)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Working with the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, the data is stored in `ha.profiles` as a dictionary of `numpy.recarray`s. The dictionary is indexed by frame; we can see the HOLE profile for the fourth frame below (truncated to the first 10 values)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "rec.array([(-21.01227, 15.3468 , -39.23993),\n", " (-20.91227, 12.63403, -34.6473 ),\n", " (-20.81227, 10.63723, -30.05467),\n", " (-20.71227, 9.58447, -27.7256 ),\n", " (-20.61227, 8.87309, -25.39653),\n", " (-20.51227, 8.56876, -23.62047),\n", " (-20.41227, 8.56275, -21.84441),\n", " (-20.31227, 8.47622, -21.74275),\n", " (-20.21227, 8.38983, -21.64108),\n", " (-20.11227, 8.30039, -21.54024)],\n", " dtype=[('rxn_coord', '" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "midpoints = 0.5*(edges[1:]+edges[:-1])\n", "plt.plot(midpoints, means)\n", "plt.ylabel(r\"Mean HOLE radius $R$ ($\\AA$)\")\n", "plt.xlabel(r\"Pore coordinate $\\zeta$ ($\\AA$)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`HoleAnalysis` also has the `min_radius()` function, which will return the minimum radius in angstrom for each frame. The resulting array has the shape (#n_frames, 2)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , -0.23655],\n", " [ 1. , 1.56731],\n", " [ 2. , 1.53329],\n", " [ 3. , 1.42503],\n", " [ 4. , 1.2426 ],\n", " [ 5. , 1.19813],\n", " [ 6. , 1.29624],\n", " [ 7. , 1.43776],\n", " [ 8. , 1.51123],\n", " [ 9. , 0.87855],\n", " [10. , 0.99659]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "min_radii = ha.min_radius()\n", "min_radii" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(min_radii[:, 0], min_radii[:, 1])\n", "plt.ylabel('Minimum HOLE radius $R$ ($\\AA$)')\n", "plt.xlabel('Frame');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualising the VMD surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `create_vmd_surface()` method is built into the `HoleAnalysis` class. It writes a VMD file that changes the pore surface for each frame in VMD. Again, load your file and source the file in the Tk Console:\n", "\n", "`source holeanalysis.vmd`" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "'holeanalysis.vmd'" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ha.create_vmd_surface(filename='holeanalysis.vmd')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "
\n", "
\n", " \n", "![hole.gif](pore.gif)\n", " \n", "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`HoleAnalysis` has several convenience methods for plotting. `plot()` plots the HOLE radius over each pore coordinate, differentiating each frame with colour." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can choose to plot specific frames, or specify colours or a colour map. Please see the documentation for a full description of arguments." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot(frames=[0, 2, 5, 9]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `plot3D()` function separates each frame onto its own axis in a 3D plot." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot3D();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can choose to plot only the part of each pore lower than a certain radius by setting `r_max`." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot3D(r_max=2.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also plot the mean and standard deviation of the pore radius over the pore coordinate." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot_mean_profile(bins=100, # how much to chunk rxn_coord\n", " n_std=1, # how many standard deviations from mean\n", " color='blue', # color of plot\n", " fill_alpha=0.2, # opacity of standard deviation\n", " legend=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ordering HOLE profiles with an order parameter\n", "\n", "If you are interested in the HOLE profiles over an order parameter, you can directly pass that into the analysis after it is run. Below, we use an order parameter of RMSD from a reference structure.\n", "\n", "
\n", " \n", "**Note**\n", "\n", "Please cite (Stelzl *et al.*, 2014) when using the ``over_order_parameters`` functionality.\n", "\n", "
" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([6.10501252e+00, 4.88398472e+00, 3.66303524e+00, 2.44202454e+00,\n", " 1.22100521e+00, 1.67285541e-07, 1.22100162e+00, 2.44202456e+00,\n", " 3.66303410e+00, 4.88398478e+00, 6.10502262e+00])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from MDAnalysis.analysis import rms\n", "\n", "ref = mda.Universe(PDB_HOLE)\n", "rmsd = rms.RMSD(u, ref, select='protein', weights='mass').run()\n", "rmsd_values = rmsd.rmsd[:, 2]\n", "rmsd_values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can pass this in as `order_parameter`. The resulting `profiles` dictionary will have your order parameters as keys. **You should be careful with this if your order parameter has repeated values, as duplicate keys are not possible; each duplicate key just overwrites the previous value.**" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true }, "outputs": [], "source": [ "op_profiles = ha.over_order_parameters(rmsd_values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see here that the dictionary does not order the entries by the order parameter. If you iterate over the dictionary, it will return each (key, value) pair in sorted key order." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.6728554140225013e-07 543\n", "1.2210016190719406 389\n", "1.2210052104208637 511\n", "2.4420245432434005 419\n", "2.4420245634673616 399\n", "3.6630340992950225 379\n", "3.663035235691455 443\n", "4.883984723991125 407\n", "4.883984778674993 149\n", "6.105012519709198 205\n", "6.105022620520391 139\n" ] } ], "source": [ "for order_parameter, profile in op_profiles.items():\n", " print(order_parameter, len(profile))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also select specific frames for the new profiles." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys([1.2210052104208637, 4.883984778674993, 6.105012519709198])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "op_profiles = ha.over_order_parameters(rmsd_values, frames=[0, 4, 9])\n", "op_profiles.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`HoleAnalysis` also provides convenience functions for plotting over order parameters. Unlike `plot()`, `plot_order_parameters()` requires an ``aggregator`` function that reduces an array of radii to a singular value. The default function is ``min()``. You can also pass in functions such as ``max()`` or ``np.mean()``, or define your own function to operate on an array and return a vlue." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot_order_parameters(rmsd_values,\n", " aggregator=min,\n", " xlabel='RMSD to reference ($\\AA$)',\n", " ylabel='Minimum HOLE pore radius $r$ ($\\AA$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`plot3D_order_parameters()` functions in a similar way to `plot3D()`, although you need to pass in the order parameters." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ha.plot3D_order_parameters(rmsd_values,\n", " ylabel='RMSD to reference ($\\AA$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deleting HOLE files\n", "\n", "The HOLE program and related MDAnalysis code write a number of files out. Both the `hole()` function and `HoleAnalysis` class contain ways to easily remove these files.\n", "\n", "For `hole()`, pass in `keep_files=False` to delete HOLE files as soon as the analysis is done. However, this will also remove the sphpdb file required to create a VMD surface from the analysis. If you need to write a VMD surface file, use the `HoleAnalysis` class instead. \n", "\n", "You can track the created files at the `tmp_files` attribute." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['simple2.rad',\n", " 'hole000.out',\n", " 'hole000.sph',\n", " 'hole001.out',\n", " 'hole001.sph',\n", " 'hole002.out',\n", " 'hole002.sph',\n", " 'hole003.out',\n", " 'hole003.sph',\n", " 'hole004.out',\n", " 'hole004.sph',\n", " 'hole005.out',\n", " 'hole005.sph',\n", " 'hole006.out',\n", " 'hole006.sph',\n", " 'hole007.out',\n", " 'hole007.sph',\n", " 'hole008.out',\n", " 'hole008.sph',\n", " 'hole009.out',\n", " 'hole009.sph',\n", " 'hole010.out',\n", " 'hole010.sph']" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ha.tmp_files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The built-in method `delete_temporary_files()` will remove these." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ha.delete_temporary_files()\n", "ha.tmp_files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, you can use `HoleAnalysis` as a context manager. When you exit the block, the temporary files will be deleted automatically." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with hole2.HoleAnalysis(u, executable='~/hole2/exe/hole') as ha2:\n", " ha2.run()\n", " ha2.create_vmd_surface(filename='holeanalysis.vmd')\n", " ha2.plot()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20.0962" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ha.profiles[0][0].radius" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Richard J. Gowers, Max Linke, Jonathan Barnoud, Tyler J. E. Reddy, Manuel N. Melo, Sean L. Seyler, Jan Domański, David L. Dotson, Sébastien Buchoux, Ian M. Kenney, and Oliver Beckstein.\n", "MDAnalysis: A Python Package for the Rapid Analysis of Molecular Dynamics Simulations.\n", "Proceedings of the 15th Python in Science Conference, pages 98–105, 2016.\n", "00152.\n", "URL: https://conference.scipy.org/proceedings/scipy2016/oliver_beckstein.html, doi:10.25080/Majora-629e541a-00e.\n", "\n", "[2] Naveen Michaud-Agrawal, Elizabeth J. Denning, Thomas B. Woolf, and Oliver Beckstein.\n", "MDAnalysis: A toolkit for the analysis of molecular dynamics simulations.\n", "Journal of Computational Chemistry, 32(10):2319–2327, July 2011.\n", "00778.\n", "URL: http://doi.wiley.com/10.1002/jcc.21787, doi:10.1002/jcc.21787.\n", "\n", "[3] O S Smart, J M Goodfellow, and B A Wallace.\n", "The pore dimensions of gramicidin A.\n", "Biophysical Journal, 65(6):2455–2460, December 1993.\n", "00522.\n", "URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1225986/, doi:10.1016/S0006-3495(93)81293-1.\n", "\n", "[4] O. S. Smart, J. G. Neduvelil, X. Wang, B. A. Wallace, and M. S. Sansom.\n", "HOLE: a program for the analysis of the pore dimensions of ion channel structural models.\n", "Journal of Molecular Graphics, 14(6):354–360, 376, December 1996.\n", "00935.\n", "doi:10.1016/s0263-7855(97)00009-x.\n", "\n", "[5] Lukas S. Stelzl, Philip W. Fowler, Mark S. P. Sansom, and Oliver Beckstein.\n", "Flexible gates generate occluded intermediates in the transport cycle of LacY.\n", "Journal of Molecular Biology, 426(3):735–751, February 2014.\n", "00000.\n", "URL: https://asu.pure.elsevier.com/en/publications/flexible-gates-generate-occluded-intermediates-in-the-transport-c, doi:10.1016/j.jmb.2013.10.024." ] } ], "metadata": { "kernelspec": { "display_name": "Python (mda-user-guide)", "language": "python", "name": "mda-user-guide" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }