Skip to content

Instantly share code, notes, and snippets.

@ptosco
Created February 17, 2017 12:03
Show Gist options
  • Star 6 You must be signed in to star a gist
  • Fork 3 You must be signed in to fork a gist
  • Save ptosco/7feeda611f6bfd1095fecc2b07a73b87 to your computer and use it in GitHub Desktop.
Save ptosco/7feeda611f6bfd1095fecc2b07a73b87 to your computer and use it in GitHub Desktop.
Boosting RDKit molecular simulations through OpenMM: Villin minimization
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import sys\n",
"import math\n",
"import timeit\n",
"from rdkit import Chem\n",
"from rdkit.Chem import AllChem\n",
"from rdkit.Chem import Draw\n",
"from rdkit.Chem.Draw import IPythonConsole\n",
"import py3Dmol\n",
"from simtk.openmm import openmm"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"This is the villin headpiece as downloaded from the PDB:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAARAAAAD9CAIAAAD7xb+qAAAAA3NCSVQICAjb4U/gAAAACXBIWXMA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\nIIERooR/AFJH/hd+zimXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"villin = open('/home/paolo/pdb/2F4K.pdb', 'r').read()\n",
"p = py3Dmol.view(width = 400,height = 400)\n",
"p.addModel(villin, 'pdb')\n",
"p.setStyle({'cartoon': {'color':'spectrum'}})\n",
"p.zoomTo()\n",
"p.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"molOrig = Chem.MolFromPDBBlock(villin)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"mol = Chem.AddHs(molOrig, addCoords = True)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"pyMP = AllChem.MMFFGetMoleculeProperties(mol)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"pyMP.SetMMFFVariant('MMFF94s')"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Let's create 4 forcefields, the \"traditional\" one and those spiced up with OpenMM, respectively using single and double precision CUDA kernels, and the multi-threaded single-precision CPU implementation."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"for i in range(3):\n",
" mol.AddConformer(Chem.Conformer(mol.GetConformer(0)), assignId = True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"platformNames = ['RDKit', 'OpenMM_CUDA_s', 'OpenMM_CUDA_d', 'OpenMM_CPU']\n",
"pyFF = {}\n",
"pyFF[platformNames[0]] = AllChem.MMFFGetMoleculeForceField(mol, pyMP, confId = 0)\n",
"for i in range(1, 4):\n",
" pyFF[platformNames[i]] = AllChem.MMFFGetMoleculeOpenMMForceField(mol, pyMP, confId = i)"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Now we instruct our RDKit interface to OpenMM to use the appropriate hardware platform:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"pyFF['OpenMM_CUDA_s'].InitializeContext(\n",
" 'CUDA', {'Precision': 'single', 'DeviceName': 'GeForce GTX 960'})"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"pyFF['OpenMM_CUDA_d'].InitializeContext(\n",
" 'CUDA', {'Precision': 'double', 'DeviceName': 'GeForce GTX 960'})"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"pyFF['OpenMM_CPU'].InitializeContext('CPU')"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"These are the energies of the protein before minimization computed with the 4 methods; differences are negligible, as they should ideally be:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RDKit 826.8740 kcal/mol\n",
"OpenMM_CUDA_s 826.8734 kcal/mol\n",
"OpenMM_CUDA_d 826.8727 kcal/mol\n",
"OpenMM_CPU 826.8728 kcal/mol\n"
]
}
],
"source": [
"for name in platformNames:\n",
" sys.stdout.write('{0:20s}{1:8.4f} kcal/mol\\n'.format(name, pyFF[name].CalcEnergy()))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"Now we will carry out a geometry optimization with all methods, and take some timings.\n",
"\n",
"The OpenMM minimizations in single precision bails out of the OpenMM L-BFGS minimizer with a `LBFGSERR_MAXIMUMLINESEARCH` error (-998) before the RMS gradient criterion kicks in. This is probably due to insufficient precision for the minimizer to behave correctly during the line search. Nonetheless, the energy values are not dramatically different from those computed by OpenMM using the GPU in double precision mode."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RDKit 82.7275 s (1.0x)\n",
"OpenMM_CUDA_s 0.5488 s (150.7x)\n",
"OpenMM_CUDA_d 7.3300 s (11.3x)\n",
"OpenMM_CPU 25.0867 s (3.3x)\n"
]
}
],
"source": [
"t = []\n",
"for i, name in enumerate(platformNames):\n",
" ff = pyFF[name]\n",
" t.append(timeit.timeit('ff.Minimize(maxIts = 100000, forceTol = 0.01)',\n",
" 'from __main__ import ff', number = 1))\n",
" sys.stdout.write('{0:20s}{1:8.4f} s ({2:.1f}x)\\n'.format(name, t[i], t[0] / t[i]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The timings are impressive: OpenMM single and double precision are respectively 150 and 11 times faster than the RDKit implementation on a hyperthreading quad-core 3.40GHz Intel Core i7-3770 CPU equipped with a GeForce GTX 960 graphics card.\n",
"\n",
"Also the multi-threaded OpenMM CPU implementation (single precision) scales very well, as it runs >3 times faster than the single-threaded RDKit implementation on the 8 virtual cores (4 physical) of our Core i7.\n",
"\n",
"Energy values at the end of the minimization are comparable; the slight differences between are most likely amenable to the different implementations of the L-BFGS minimizer between RDKit and OpenMM:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RDKit -53.4757 kcal/mol\n",
"OpenMM_CUDA_s -52.6213 kcal/mol\n",
"OpenMM_CUDA_d -57.5980 kcal/mol\n",
"OpenMM_CPU -52.6949 kcal/mol\n"
]
}
],
"source": [
"for name in platformNames:\n",
" sys.stdout.write('{0:20s}{1:8.4f} kcal/mol\\n'.format(name, pyFF[name].CalcEnergy()))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"If we look at the heavy-atom-RMSD matrix across the 4 minimizations, we see that the smallest deviation occurs, as might be expected, between the RDKit and the OpenMM double precision implementations. However, the RMSD for the single precision calculations is < 0.7 Å."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"molNoH = Chem.RemoveHs(mol)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"confsNoH = [molNoH.GetConformer(i) for i in range(4)]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" RDKit OpenMM_CUDA_s OpenMM_CUDA_d OpenMM_CPU\n",
" RDKit 0.0000 0.6815 0.2669 0.6701\n",
" OpenMM_CUDA_s 0.0000 0.5457 0.0463\n",
" OpenMM_CUDA_d 0.0000 0.5315\n",
" OpenMM_CPU 0.0000\n"
]
}
],
"source": [
"for y in range(len(confsNoH)):\n",
" if (y == 0):\n",
" for name in [''] + platformNames:\n",
" sys.stdout.write('{0:>16s}'.format(name))\n",
" sys.stdout.write('\\n')\n",
" for x in range(len(confsNoH)):\n",
" if (x == 0):\n",
" sys.stdout.write('{0:>16s}'.format(platformNames[y]))\n",
" if (x < y):\n",
" sys.stdout.write('{0:16s}'.format(''))\n",
" else:\n",
" sys.stdout.write('{0:16.4f}'.format(\n",
" AllChem.AlignMol(molNoH, molNoH, prbCid = x, refCid = y)))\n",
" sys.stdout.write('\\n')"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"This is the visual difference between RDKit and OpenMM single precision (largest deviation)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAQoAAAEECAIAAABfo+3uAAAAA3NCSVQICAjb4U/gAAAACXBIWXMA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\nPTroYE78P9tv56wItpekAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p = py3Dmol.view(width = 400,height = 400)\n",
"p.addModel(Chem.MolToPDBBlock(molNoH, confId = 0), 'pdb')\n",
"p.addModel(Chem.MolToPDBBlock(molNoH, confId = 1), 'pdb')\n",
"p.setStyle({'cartoon': {'color':'spectrum'}})\n",
"p.zoomTo()\n",
"p.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"And this is how RDKit and OpenMM double precision compare (smallest deviation)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAQgAAADyCAIAAAA+6sxjAAAAA3NCSVQICAjb4U/gAAAACXBIWXMA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\nGVOQCSMjYwoyYWRkTMH/ATkSvuNY5ARkAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p = py3Dmol.view(width = 400,height = 400)\n",
"p.addModel(Chem.MolToPDBBlock(molNoH, confId = 0), 'pdb')\n",
"p.addModel(Chem.MolToPDBBlock(molNoH, confId = 2), 'pdb')\n",
"p.setStyle({'cartoon': {'color':'spectrum'}})\n",
"p.zoomTo()\n",
"p.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
@tarungog
Copy link

hello did this ever get merged into RDKit master?

@khoroshyy
Copy link

Can it also run MD simulation or only minimization?
Thanks.
Petro.

@ptosco
Copy link
Author

ptosco commented Jan 26, 2022

@khoroshyy This was a PoC that never got into master as I could not find the time to properly validate the results of the calculations (particularly MD with PME).

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment