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@jaimergp
Created October 22, 2018 22:11
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Following the recommendations described in \n",
"\n",
"Grossfield A., Zuckerman D. Quantifying uncertainty and sampling quality in biomolecular simulations. Annu Rep Comput Chem . 2009 January 1; 5: 23–48\n",
"\n",
"some qualitative studies of the MD convergence are performed in this notebook. \n",
"\n",
"Concretely:\n",
"\n",
"1. RMSD from the first frame\n",
"2. All to all frames RMSD analysis\n",
"3. Principal Component Analysis\n",
"4. Clustering analysis"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import mdtraj as md\n",
"import numpy as np\n",
"import math\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.decomposition import PCA\n",
"import time"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Trajectory file name (.dcd) and topology file name (.prmtop)\n",
"#(Free porcine)\n",
"trajectory_filename = '/media/jsanchez/TOSHIBA/oxaliplatin_insulin/Insuline_Revision/Ins_free_porcine/Porcine/13659/traj_500ns.dcd'\n",
"topology_filename = '/media/jsanchez/TOSHIBA/oxaliplatin_insulin/Insuline_Revision/Ins_free_porcine/Porcine/13659/noW.Insuline_solv.prmtop'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the trajectory"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<mdtraj.Trajectory with 24934 frames, 784 atoms, 53 residues, and unitcells>\n"
]
}
],
"source": [
"trajectory = md.load(trajectory_filename, top=topology_filename)\n",
"traj_length = 500 #Length of the trajectory in ns (for a correct axis labels in plots)\n",
"print(trajectory)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Select the atoms that will be object of study (for example, alpha-C of the backbone) (http://mdtraj.org/1.6.2/examples/atom-selection.html)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 4 11 30 46 61 78 88 163 182 203 220 239 254 268 289 299 383 400\n",
" 419 429 436 447 464 483 499 514 524 543 564 583]\n"
]
}
],
"source": [
"#(Free) selection = trajectory.topology.select(\"(name CA and resid 0 to 6) or (name CA and resid 12 to 20) or (name CA and resid 25 to 39)\")\n",
"#(Free porcine) \n",
"selection = trajectory.topology.select(\"(name CA and resid 0 to 6) or (name CA and resid 12 to 20) or (name CA and resid 25 to 38)\")\n",
"#(CYX) selection = trajectory.topology.select(\"((element=~'[NCP]') and (resid 51 to 52)) or (name CA and resid 0 to 6) or (name CA and resid 12 to 20) or (name CA and resid 25 to 38)\")\n",
"#(CysHis) selection = trajectory.topology.select(\"((element=~'[NCP]') and (resid 51 to 52)) or (name CA and resid 0 to 6) or (name CA and resid 12 to 20) or (name CA and resid 25 to 38)\")\n",
"#(HIS_OK) selection = trajectory.topology.select(\"(name CA and resid 0 to 42) or ((element=~'[NCP]') and (resid 51 to 52))\")\n",
"print(selection)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. RMSD from the first frame"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Step size: trajectory frames that will be used in the analysis (e.g. if step is 20, frames 0, 20, 40 ... will be selected)\n",
"step_RMSD = 25"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculate RMSD data"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"distances = md.rmsd(trajectory, trajectory, frame = 0, atom_indices = selection)*10 #distances in Angstroms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the data"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"#Output filename for the plot\n",
"RMSD_filename = '/home/jsanchez/RMSD.pdf'"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot([traj_length*a/len(distances) for a in range(len(distances))], distances, linewidth=0.2)\n",
"plt.xlabel('Time (ns)')\n",
"plt.ylabel('RMSD (Å)')\n",
"plt.title('RMSD from the first frame')\n",
"plt.savefig(RMSD_filename, bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. All to All RMSDs"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# Step size: trajectory frames that will be used in the analysis (e.g. if step is 20, frames 0, 20, 40 ... will be selected)\n",
"step_all = step_RMSD"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"traj_all = trajectory[::step_all]\n",
"traj_all = traj_all.atom_slice(selection)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"# Calculate all-to-all RMSD matrix (it could take some time if you choose a small step size!)\n",
"distances = np.empty((math.ceil(traj_all.n_frames), math.ceil(traj_all.n_frames)))\n",
"for i, frame in enumerate(range(0, traj_all.n_frames)):\n",
" distances[i] = md.rmsd(traj_all, traj_all, frame = i)*10 #distances in Angstroms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the data"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<mdtraj.Trajectory with 998 frames, 30 atoms, 30 residues, and unitcells at 0x7f1077d6da20>"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"traj_all"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"#Output filename for the plot\n",
"all_filename = '/home/jsanchez/All_RMSD.pdf'"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"im = ax.imshow(distances, origin='lower')\n",
"cbar = ax.figure.colorbar(im, ax=ax)\n",
"cbar.set_label('RMSD (Å)', rotation=-90, va=\"bottom\")\n",
"ticks = np.arange(0, len(distances), len(distances)//5)\n",
"plt.xticks(ticks, [int(a*traj_length/len(distances)) for a in ticks])\n",
"plt.yticks(ticks, [int(a*traj_length/len(distances)) for a in ticks])\n",
"ax.set_xlabel('Time (ns)')\n",
"ax.set_ylabel('Time (ns)')\n",
"ax.set_title('All to all frames RMSD')\n",
"fig.tight_layout()\n",
"plt.savefig(all_filename, bbox_inches='tight')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. PCA analysis \n",
"(based on http://mdtraj.org/1.9.0/examples/pca.html)\n",
"\n",
"Create a two component PCA model, and project our data down into this reduced dimensional space. Using just the cartesian coordinates as input to PCA, it's important to start with some kind of alignment."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"# Step size: trajectory frames that will be used in the analysis (e.g. if step is 20, frames 0, 20, 40 ... will be selected)\n",
"step_PCA = 25"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<mdtraj.Trajectory with 998 frames, 30 atoms, 30 residues, and unitcells at 0x7f1077bb63c8>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"traj_PCA = trajectory[::step_PCA]\n",
"traj_PCA = traj_PCA.atom_slice(selection)\n",
"pca1 = PCA(n_components=2)\n",
"traj_PCA.superpose(traj_PCA, 0)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(998, 2)\n"
]
}
],
"source": [
"reduced_cartesian = pca1.fit_transform(traj_PCA.xyz.reshape(traj_PCA.n_frames, traj_PCA.n_atoms * 3))\n",
"print(reduced_cartesian.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plotting the data"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"# Output filename for PCA plot (.pdf)\n",
"PCA_filename = '/home/jsanchez/PCA_free_porcine.pdf'"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.scatter(reduced_cartesian[:, 0], reduced_cartesian[:,1], marker='.', c=range(len(traj_PCA)))\n",
"plt.xlabel('PC1')\n",
"plt.ylabel('PC2')\n",
"plt.xlim([-3.0, 3.0])\n",
"plt.ylim([-2.0, 2.0])\n",
"plt.title('Cartesian coordinate PCA')\n",
"cbar = plt.colorbar()\n",
"ticks = np.arange(0, len(traj_PCA), len(traj_PCA)//5)\n",
"cbar.set_ticks(ticks)\n",
"cbar.set_ticklabels([int(a*traj_length/len(traj_PCA)) for a in ticks])\n",
"cbar.set_label('Time (ns)', rotation=-90, va=\"bottom\")\n",
"plt.savefig(PCA_filename, bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Cluster analysis as described in:\n",
"\n",
"Daura X, van Gunsteren WF, Mark AE. Folding-unfolding thermo-dynamics of a-heptapeptide from equilibrium simulations. Proteins Struct Funct Genet 1999;34:269–280\n",
"\n",
"Smith LJ, Daura X, van Gunsteren WF. Assessing equilibration and convergence in biomolecular simulations. Proteins Struct Funct Genet 2002;48:487-496"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"# Step size: trajectory frames that will be used in the analysis (e.g. if step is 20, frames 0, 20, 40 ... will be selected)\n",
"step_cluster = 10"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"traj_cluster = trajectory[::step_cluster]\n",
"traj_cluster = traj_cluster.atom_slice(selection)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculate distances AllToAll frames (it could take some time in function of the number of frames)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"| |\n",
"*********************0.8503129482269287\n"
]
}
],
"source": [
"#Calculate distances AllToAll frames (it could take some time in function of the number of frames)\n",
"distances = np.zeros((traj_cluster.n_frames, traj_cluster.n_frames))\n",
"\n",
"#counter stuff\n",
"num_iter = traj_cluster.n_frames\n",
"num_updates = 20\n",
"update_per = num_iter // num_updates # make sure it's an integer\n",
"print('|{}|'.format(' ' * (num_updates - 2))) # gives you a reference\n",
"\n",
"t0 = time.time()\n",
"for i, frame in enumerate(range(0, traj_cluster.n_frames)):\n",
" distances[i] = md.rmsd(traj_cluster, traj_cluster, frame = i) * 10 # Distances in Angstroms\n",
" #counter stuff\n",
" if i % update_per == 0:\n",
" print('*', end='', flush=True)\n",
"print(time.time()-t0)\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"# Distance of cutoff of clusters (in Angstroms)\n",
"dc = 2.0\n",
"# Number of frames of distance between each calculation of #clusters\n",
"step_cl = 50"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calculate clusters"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"| |\n",
"*************************************************"
]
}
],
"source": [
"n_clusters = {}\n",
"frame = 0\n",
"\n",
"#counter stuff\n",
"num_iter = traj_cluster.n_frames\n",
"num_updates = int(traj_cluster.n_frames/step_cl)\n",
"update_per = num_iter // num_updates # make sure it's an integer\n",
"print('|{}|'.format(' ' * (num_updates - 2))) # gives you a reference\n",
"\n",
"while (frame + step_cl) < traj_cluster.n_frames:\n",
" frame += step_cl\n",
" survivors = [i for i in range(0, frame)]\n",
" n_clusters[frame] = 0\n",
" while(survivors):\n",
" rows = columns = np.array(survivors, dtype=np.intp)\n",
" surv_dist = distances[rows[:, np.newaxis], columns] #Catch the submatrix of distances of the survivor frames\n",
" neighbours = np.zeros(len(survivors))\n",
" for i in range(0, len(survivors)):\n",
" neighbours[i] = len(np.where(surv_dist[i] < dc)[0])\n",
" cluster_center = np.argmax(neighbours, axis=0)\n",
" to_remove = [survivors[a] for a in np.where(surv_dist[cluster_center] < dc)[0]]\n",
" for elem in to_remove:\n",
" survivors.remove(elem)\n",
" n_clusters[frame] += 1\n",
" #counter stuff\n",
" if frame % update_per == 0:\n",
" print('*', end='', flush=True)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{50: 1,\n",
" 100: 1,\n",
" 150: 1,\n",
" 200: 1,\n",
" 250: 1,\n",
" 300: 1,\n",
" 350: 1,\n",
" 400: 1,\n",
" 450: 2,\n",
" 500: 2,\n",
" 550: 2,\n",
" 600: 2,\n",
" 650: 2,\n",
" 700: 2,\n",
" 750: 3,\n",
" 800: 3,\n",
" 850: 3,\n",
" 900: 3,\n",
" 950: 3,\n",
" 1000: 3,\n",
" 1050: 3,\n",
" 1100: 3,\n",
" 1150: 3,\n",
" 1200: 3,\n",
" 1250: 3,\n",
" 1300: 3,\n",
" 1350: 3,\n",
" 1400: 3,\n",
" 1450: 3,\n",
" 1500: 3,\n",
" 1550: 3,\n",
" 1600: 3,\n",
" 1650: 3,\n",
" 1700: 3,\n",
" 1750: 4,\n",
" 1800: 4,\n",
" 1850: 5,\n",
" 1900: 4,\n",
" 1950: 4,\n",
" 2000: 4,\n",
" 2050: 4,\n",
" 2100: 4,\n",
" 2150: 4,\n",
" 2200: 4,\n",
" 2250: 4,\n",
" 2300: 4,\n",
" 2350: 4,\n",
" 2400: 5,\n",
" 2450: 5}"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n_clusters"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the data"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"cluster_filename = '/home/jsanchez/cluster_2_0.pdf'"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot([a*traj_length/max(n_clusters.keys()) for a in n_clusters.keys()], n_clusters.values(), marker='.')\n",
"plt.xlabel('Time (ns)')\n",
"plt.ylabel('# clusters')\n",
"plt.title('Cluster analysis')\n",
"plt.savefig(cluster_filename, bbox_inches='tight')"
]
}
],
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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