Molecular Modeling Workshop Molecular Modeling Workshop Laboratory for Molecular Simulation (LMS) Manager: Dr. Lisa M. Pérez Director: Prof. Michael B. Hall lms.chem.tamu.edu [email protected] Office: Rm. 2109 Chemistry (CHAN) phone: 845-9384 Please turn your cell phones to silent for the lecture April 10, 2015 Introduction to Molecular Modeling Visualization Computational Chemistry Quantum Mechanics Ab initio Density-Functional Theory Semi-Empirical Classical Mechanics molecular mechanic MM molecular dynamics MD Monte Carlo Molecular Modeling Visualization Computational Chemistry Information Science Prediction of properties Structural, chemical, physical, biological, etc. Understand, explain, and possibly predict chemical processes Tools to gain insight at the atomic and molecular level Microscopic ⇔ Macroscopic April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 1 Molecular Modeling Workshop Microscopic ó Macroscopic Time Grids >min Continuum (FEA, CFD) Segments s Mesoscale µs Atoms ns Electrons ps fs Quantum Mechanics HΨ=EΨ Molecular Dynamics F=ma Ångstroms nm µm mm m Distance April 10, 2015 Visualization Building Draw in 2-D Convert to 3-D Rotate Rendering Line Stick Ball and Stick CPK Ball Cartoon Maynard, D. and Vigh, G. Dept. of Chemistry, Texas A&M University Surfaces Visualizing crystal structures April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 2 Molecular Modeling Workshop Visualization Image generated in Chimera April 10, 2015 Software Purchases The Laboratory for Molecular Simulation currently provides a wide variety of academic licenses for commercial and academic molecular modeling software for students and researchers at Texas A&M University. The LMS assists in the purchase of software that we currently do not provide. $$$ The LMS also provides support in the use of Molecular Modeling software through administration (ie. installation and updates), training, and scripting. April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 3 Molecular Modeling Workshop Software – Quantum Mechanics Name Description Licensing Price ADF Quantum Mechanics (QM) 8 CPU Floating License $$ ABINIT QM (Molecular and Periodic Systems) Site License* Free AMPAC QM (Semi-empirical) Site License $ CRYSTAL QM for Periodic Systems Site License $ Dalton QM Specializing in magnetic/electric properties Site License* Free Discovery Studio QM & MM/MD suite of software with a user-friendly Interface for Life Sciences Floating Licenses $$$ GAMESS-US QM Site License* Free Gaussian QM Site License $ Materials Studio MM/MD & QM suite of software with a user-friendly GUI for Materials Sciences Floating Licenses $$$ MOLPRO QM (specializing in high-level calculations) Group Licenses $$ NWChem QM Site License* Free ORCASIESTA QM specializing in spectroscopic properties Site License* Free SIESTA QM specializing in electron transport and Solids Site License* Free VASP QM specializing in QMD and ultra-soft ECPs 24 Restricted Licenses $$ * Users need to register with the software provider at no charge. April 10, 2015 Software – Molecular Mechanics/Dynamics Name Description Licensing Price AMBER Molecular Mechanics/Dynamics (MM/MD) Site License $ CHARMm MM/MD 8 Floating Licenses $$/$ Discovery Studio MM/MD & QM suite of software with a user-friendly GUI for Life Sciences Floating Licenses $$$ GROMACS MM/MD specializing in speed and coarse-grained simulations Site License* Free GROMOS MM/MD Group License $ LAMMPS MM/MD Site License* Free Materials Studio MM/MD & QM suite of software with a user-friendly GUI for Materials Sciences Floating Licenses $$$ MOE MM/MD – Drug discovery software Floating Licenses $$$ ICM MM/MD and more Floating or Node locked Licenses§ Free & $$$ Schrödinger MM/MD and more Floating Licenses $$$ NAMD MM/MD Site License* Free * Users § LMS need to register with the software provider at no charge. does not currently hold a license Laboratory for Molecular Simulation, Texas A&M University April 10, 2015 4 Molecular Modeling Workshop Software – Graphical User Interfaces (GUI) Name Description Licensing Price AIM2000 Wavefunction Analysis (Bader Analysis) LMS License $ AGUI (Gaussview) GUI for AMPAC and Gaussian Site License $ AOMix MO analysis & spectra simulation Site License $ Avogadro Visualizer and GUI for many QM and MM codes Site License* Free Chemmisian GUI for the analysis of electronic structure and spectra. Site License* $ Chimera Interactive Visualization and analysis of Molecular Structures Site License* Free Gabedit GUI for computational chemistry software Site License* Free gOpenMol GUI for computational chemistry software Site License* Free Jimp2 GUI for Fenske-Hall (QM) and more Site License* Free Maestro GUI for Schrödinger Suite of Software Token Based Licnese $$$ Molden GUI to visualize results of modeling software Site License* Free VMD GUI for NAMD and more Site License* Free * Users need to register with the software provider at no charge. April 10, 2015 Materials Studio by Accelrys Bundle Name # of Licenses Materials Studio Base 25 Visualizer Conformers Forcite Plus Parallel Gaussian Interface QSAR+ Modules Included in Bundle MS Pipeline Pilot Collection Reflex VAMP Parallel VAMP Interface Materials Studio Classical & Mesoscale 1 Adsorption Locator Amorphous Cell Blends COMPASS Parallel GULP Parallel GULP Interface Mesocite Mesodyn Mesodyn Interface Sorption Synthia Materials Studio Quantum 3 CASTEP Parallel CASTEP Interface DFTB+ Parallel DMOL3 Solid State Parallel DMOL3 Solid State Interface GULP Parallel GULP Interface NMR CASTEP Parallel ONETEP QMERA QMERA Interface 1 Equilibria April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 5 Molecular Modeling Workshop Discovery Studio by Accelrys Bundle Name # of Licenses Modules Included in Bundle Discovery Studio Base 18 Visualizer Analysis Biopolymer Catalyst Conformation Catalyst Score CDOCKER CHARMm DMOL3 Molecular MMFF (Force-Field) Protein Refine QUANTUMm (QM/MM) Discovery Studio Structure Based Design 2 Catalyst DB Build Catalyst DB Search Catalyst Hypothesis Catalyst SBP Catalyst Shape CFF De Novo Evolution De Novo Ligand Builder Flexible Docking Libdock LigandFit LigandScore LUDI MCSS Discovery Studio Protein 3 Modeler Protein Families Protein Health Protein Docking Sequence Analysis X-ray analysis (CNX) April 10, 2015 Schrödinger Units Items 15 Tokens Glide (5 Tokens) QikProp (2 Tokens) Liaison (4 Tokens) Canvas (1 Token) Strike (1 Token) LigPrep (1 Token) 10 Licenses BioLuminate GUI 10 Tokens QSite (4 Tokens) pKa Predictor (3 Tokens) MacroModel (2 Tokens) Epik (1 Token) ConfGen (3 Tokens) SiteMap (1 Token) Jaguar (2 Tokens) 1 License PIPER April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 6 Molecular Modeling Workshop MOE – Molecular Operating Environment by Chemical Computing Group LMS has a 3 Token License With an option for Many teaching license at no charge. April 10, 2015 Computational Chemistry Quantum Mechanics Ab initio - based on first principles Hartree-Fock Theory (HF) Møller-Plesset Perturbation Theory (MPn ; n = 2, 3, 4, … ) Configuration Interaction (CI ; CIS, CISD, CISDT, … ) Coupled-Cluster (CC ; CCD, CCSD, CCSD(T), CCSD(TQ), … ) Complete Active Space Self Consitent Field (CASSCF) Multi-Reference Configuration Interaction (MRCI) and many more Density Functional Theory B3LYP, BP86, B3PW91, mPW1PW91, PBE, M06, TPSS and many more Semi-empirical AM1 PM3 PM5 and many more April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 7 Molecular Modeling Workshop Quantum Mechanics Ab initio methods Schrödinger Equation HΨ=EΨ ; time-independent Schrödinger equation. Applicable to any system, in principle. Can model bond breaking and formation Used for benchmark values Can only be used for small system ( normally < 200 atoms ) Computationally expensive Scaling: Nn n=2, 3, 4, 5, 6, … Commonly used codes Gaussian 09, GAMESS-US, Spartan, NWChem Q-Chem, MOLPRO, Dalton, GAMESS-UK, CRYSTAL and many more April 10, 2015 Quantum Mechanics Density Functional Theory (DFT) Total energy of a system depends only on the electron density Etot= F[ρ(x,y,z,s)] Applicable to any system, in principle. Can model bond breaking and formation Includes electron correlation with little cost compared to ab initio methods Exact functional is not known Commonly used software for DFT Gaussian 09, Jaguar, DMol3, Turbomole, Amsterdam Density Functional (ADF), GAMESS-US, NWChem, MOLPRO, Spartan, GAMESS-UK, CRYSTAL, and many more April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 8 Molecular Modeling Workshop Reaction Mechanism Calculations Cunxiang Zhao, T. Andrew Mitchell, Ravikrishna Vallakati, Lisa M. Pérez, and Daniel Romo J. Am. Chem. Soc., 2012, 134 (6), pp 3084–3094 DOI: 10.1021/ja209163w April 10, 2015 Reaction Mechanism Calculations April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 9 Molecular Modeling Workshop Reaction Mechanism Calculations April 10, 2015 3 + 6Acetonitrile ➛ 4 + 3Acetonitrile ➛ 5 + Naphthalene 2+ Ru 3 c2v Ru 2+ 5 c2v Ru N N N Ru N N N 2+ Ru 4 cs Ru N N N April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 10 Molecular Modeling Workshop 3 + 6Acetonitrile ➛ 4 + 3Acetonitrile ➛ 5 + Naphthalene 2+ 2+ Ru 4 cs Ru N N Ru 3 c2v N Ru 2+ 5 c2v Ru N N Ru N N N N April 10, 2015 Quantum Mechanics – (ab initio, DFT, Semi-empirical) Reaction Path Calculations Thomson (Pérez), L.M.; Hall, M.B. J. Am. Chem. Soc.2001, 123, 3995. • Calculating transition states is significantly more difficult than minima. • Experimental data is needed to narrow reaction path possibilities to be investigated computationally. April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 11 Molecular Modeling Workshop NMR Calculations Original assignment for spectra a) Upfield Downfield (E)-2a is lower in energy than (E)-2a-ZnCl2 April 10, 2015 UV/Vis spectra via TD-DFT Experimental TD-DFT April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 12 Molecular Modeling Workshop UV/Vis spectra via TD-DFT Experimental TD-DFT April 10, 2015 Wavefunction Analysis Atoms in Molecules (AIM) A) Contour plot of the electron density of [1-F]+ showing the short and long C-F bonds. The plane was selected to contain the C02, F, and C01 atoms. B) Contour plot of –1/4∇ 2 ρ(r) for [1-F]+ illustrating the covalent nature of the short C-F bond and the dative nature of the long C-F bond. Positive and negative values are shown with blue solid and red dashed lines, respectively. April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 13 Molecular Modeling Workshop Quantum Mechanics Semi-empirical Methods AM1, PM3, PM5, PM7, PM7-TM, SAM1, etc. Approximate solution to the Schrödinger equation Replaces the expensive integrals with parameters Applicability is limited by available parameterization Mostly used for 1st row main group elements Limited applicability to transition metals Can model bond breaking/formation Can model much larger systems than ab initio or DFT Commonly used software MOPAC 2012, Gaussian 09, Chem3d, AMPAC, VAMP, and many more April 10, 2015 Molecular Mechanics Newtons equations The potential is approximated by an empirical function force field that is fitted to approximately reproduce known interactions Applicability is limited by the availability of parameterization Generally, the connectivity of atoms cannot change during the simulation Generally, not suitable for reaction mechanisms Can predict relative energies of different conformational states of material And much more April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 14 Molecular Modeling Workshop Molecular Mechanics The molecule is considered to be a collection of atoms held together by simple elastic or harmonic forces. Force Field - A mathematical expression that describes the dependence of the energy of a molecule on the coordinates of the atoms in the molecule. Force Field Energy Expression: E = Ebond + Eangle + Etorsion + Eoop(out-of-plane) + Enon-bond + Eother April 10, 2015 Force Field Terms Bond & Angle Terms April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 15 Molecular Modeling Workshop Force Field Terms - Torsion, Inversion & Coulombic Terms April 10, 2015 Force Field Terms – Van der Waals Terms April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 16 Molecular Modeling Workshop Force Field Terms – Cross Terms April 10, 2015 Class II forcefield (CFF91) Bond stretching Angle bending Torsion Out-of-plane 5-11 Cross Terms Coulombic Laboratory for Molecular Simulation, Texas A&M University Van der Waals April 10, 2015 17 Molecular Modeling Workshop Molecular Mechanics Force Fields differ in their parameters, cross terms and the method of development Class I - simple functional form with data fitted to quantum mechanical calculations and/or experiment Class II - more complicated functional form using cross terms and data fitted to quantum mechanical calculations and/or experiment Class III - new generation force fields that incorporate polarizability Rules Based - covers most of the periodic table Fundamental quantities are derived for each atom type: electronegativity, hardness, atomic radius, etc. Forcefield parameters are derived at runtime using a series of theoretically or empirically derived rules Specialist - developed for a particular family of compounds flourinated polymers, zeolites, etc. April 10, 2015 Common Force Fields MM2/MM3/MM4: Molecular Mechanic Force field for small organic molecules CHARMM: Chemistry at Harvard Macromolecular Mechanics AMBER: Assisted Model Building with Energy Refinement OPLS: Optimized Parameters for Liquid Simulation CFF: Consistent Force Field CVFF: Valence Consistent Force Field MMFF94: Merck Molecular Force Field 94 DREIDING: Generic rules based force field UFF: Universal Force Field ReaxFF: Speciality force-field to allow bond breaking April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 18 Molecular Modeling Workshop UFF – Universal Force-Field The Universal forcefield's atom types are denoted by an element name of one or two characters followed by up to three other characters: The first two characters are the element symbol (i.e., N_ for nitrogen ). The third character (if present) represents the hybridization state 1 = linear 2 = trigonal R = an atom involved in resonance 3 = tetrahedral 4 = square planar 5 = trigonal bipyramidal 6 = octahedral The fourth and fifth characters (if present) indicate characteristics such as the oxidation state (i.e., Rh6+3 represents octahedral Rh in the +3 formal oxidation state H___b indicates a diborane bridging hydrogen type O_3_z is a framework oxygen type suitable for zeolites). A. K. Rappe; C. J. Casewit; K. S. Colwell; W. A. Goddard III; W. M. Skiff J. Am. Chem. Soc. 114, 10024-10035 (1992). April 10, 2015 Force Field Atom Types CFF/ CFF91/ PCFF carbonyl functional groups C and O c_0 carbonyl carbon of aldehydes, ketones c_1 carbonyl carbon of acid, ester, amide c_2 carbonyl carbon of carbamate, urea cz carbonyl carbon of carbonate o= oxygen double bonded to O, C, S, N, P o_1 oxygen in carbonyl group o_2 ester oxygen oo oxygen in carbonyl group, carbonate only oz ester oxygen in carbonate April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 19 Molecular Modeling Workshop Atom Types o= hn Sf Cp nb s1 PCFF force field - PCFF was developed based on CFF91 and is intended for application to polymers and organic materials. It is useful for polycarbonates, melamine resins, polysaccharides, other polymers, organic and inorganic materials, about 20 inorganic metals, as well as for carbohydrates, lipids, and nucleic acids and also cohesive energies, mechanical properties, compressibility's, heat capacities, elastic constants. It handles electron delocalization in aromatic rings by means of a charge library rather than bond increments. April 10, 2015 Minimization Minimize the potential energy Energy E = Ebond + Eangle + Etorsion + Eoop + Enonbond + Eother Local Minima Local Minima Global Minimum Local Minima April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 20 Molecular Modeling Workshop Minimization Strategies Cascade Approach - Smart Minimizer Steepest decent Max gradient > 100 Conjugate Gradient Max gradient < 100 Newton iterative (pure) Newton-Raphson. BFGS (Broyden-Fletcher-Goldfarb-Shanno) DFP (Davidon-Fletcher-Powell) truncated Newton-Raphson Final Convergence Many software programs will perform these steps for you, but some programs you will need to perform this manually. April 10, 2015 Mutations and Minimization Native April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 21 Molecular Modeling Workshop Molecular Dynamics Minimization methods will only optimize your molecule to the closest local minimum Methods to find the global minimum Systematic conformational search Very time consuming and essentially impossible for anything but the smallest of molecules CH3(CH2)n+1CH3 n=1 3 possible configurations <1 sec n=2 243 1 min n=10 59,049 2 hour n=15 14,348,907 100 days Molecular Dynamics, Random Sampling, Monte Carlo, Hybrid Monte Carlo/Dynamics methods Samples the potential energy surface by perturbing the geometry April 10, 2015 Molecular Dynamics Methods to find the global minimum High temperature dynamics Simulated annealing Quench dynamics Energy T(K) Energy supplied to the minimized structure at the start of the simulation minimize Time ps Simulated Annealing Time ps Quench Dynamics April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 22 Molecular Modeling Workshop Molecular Dynamics Molecular Dynamics Variations Constant Volume - Constant Temperature (NVT) Constant Volume - Constant Energy (NVE) Constant Pressure – Constant Temperature (NPT) construct a set of velocities based on the ensemble being used Velocities satisfy the Maxwell-Boltzmann distribution Each run will start with a different random seed Allow atoms to move for one time step Calculate the force on the atoms - forcefield Calculate the acceleration F=ma Calculate the new velocity Calculate the new position 1 r (t + δ t ) = r (t )+ δ t v(t )+ δ t 2 a (t ) 2 1 v(t + δ t ) = v(t )+ δ t (a (t )+ a(t + δ t )) 2 1 r (t + δ t ) = r (t )+ δ t v(t )+ δ t 2 a (t ) 2 Repeat for as many time steps as desired April 10, 2015 Molecular Dynamics Choosing a time step Your time step should be a factor of 10 smaller that the fastest process in your system. Molecular motions such as rotations and vibrations are on the order of 10-11 - 10-14 s Therefore, a time step of 1 fs (10-15 s) or less must be used for most systems. You can increase your time step by restricting the fastest processes SHAKE or RATTLE algorithms restrict the vibrational motion of the molecule of interest Therefore, a time step of 2-3 fs can be used with the SHAKE or RATTLE algorithm There are some modified shake algorithms that claim they are stable up to time steps of 8 fs Most simulations are on the order of picoseconds (10-12 s) or nanoseconds (10-9 s) Protein folding tripzip2 (12-residue protein) folds on the order of 2.5 µs (10-6 s) April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 23 Molecular Modeling Workshop Molecular Simulation of ab Initio Protein Folding for a Millisecond Folder NTL9(1−39) Vincent A. Voelz, Gregory R. Bowman, Kyle Beauchamp, Vijay S. Pande Journal of the American Chemical Society 2010 132 (5), 1526-1528 http://folding.stanford.edu/English/Papers#ntoc6 Gromacs(GPU version) and Folding@Home were used for the simulations with implicit solvation http://youtu.be/gFcp2Xpd29I April 10, 2015 Conformational Searches Ion mobility-mass spectrometry peptide map of bovine hemoglobin. Two low-energy MD calculated structures are assigned to peptide signals within the plot: (1) LLGNVLVVVLAR and (2) LLVVYPWTQR. The two peptide projections shown are 15 (top) and 10 Å (bottom). Brandon T. Ruotolo, Guido F. Verbeck, Lisa M. Pérez (Thomson), Kent J. Gillig, and David H. Russell J. Am. Chem. Soc., 124, 4214, 2002. Ion mobility-mass spectrometry peptide map of horse heart myoglobin. Two low-energy MD calculated structures are assignaed to peptide signals within the plot: (1) HGTVVLTALGGILK and (2) VEADIAGHGQEVLIR. The two peptide projections shown are 10 (top) and 15 Å (bottom). April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 24 Molecular Modeling Workshop Monte Carlo – RIS Metropolis Monte Carlo In outline, an RMMC simulation proceeds as follows: Perform an energy minimization on the molecule Randomly select a rotatable backbone bond. Select a random torsion value for this bond between -180 and +180 degrees. Rotate the bond to its new torsion value and compute the new energy of the chain. Generate a random number, R, between 0 and 1. If exp[-(Enew -Eold)/kT] > R, keep the new torsion value. Otherwise, restore the old value. Repeat until the desired number of iterations has been performed April 10, 2015 Molecular Dynamics Steps Prepare the Molecule Minimization Required!!!!!! Heating Raise the temperature of the system from 0oC to the desired temperature. Many programs/researchers skip this step Equilibration Ensure that the system is stable (NVE) Production Run simulation to collect pertinent data NVT, NVE, NPT, etc April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 25 Molecular Modeling Workshop Solvation Explicit Solvation Very expensive Solvent molecules tend to boil off Non-Periodic water simulation Need to use a periodic system to prevent loss of solvent molecules Periodic water simulation Solvent Dielectric Models Treat the solvent as a bulk property Vacuum ε = 1.0 Water ε = 78.39 Proteins ε = 4.0 Constant dielectric constant Distance Dependent Dielectric Models Dielectric constant varies with the distance between the charged species Generally used for large systems and proteins April 10, 2015 Informatics Storage and retrieval of information Databases Structures Properties Activities Combinatorial Chemistry Protein Bioinformatics Drug Design Catalysis QSAR – Quantitative Structure Activity Relationships April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 26 Molecular Modeling Workshop Quantitative Structure Activity Relationship (QSAR) Multi-variant mathematical relationship between a set of physico-chemical properties (descriptors) and a property of interest Biological activity Solubility Mechanical behavior April 10, 2015 Homology Utilizes structure and sequence similarities for predicting unknown protein structures. Database comparison Molecular mechanics/ dynamics NMR constraints Web resource: http://zhanglab.ccmb.med.umich.edu/I-TASSER/ April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 27 Molecular Modeling Workshop Drug Design Generate a pharmacophore based on a set of known biologically active molecules. Use the pharmacophore to search a database for other potentially active molecules. April 10, 2015 Drug Design de Novo drug design – analog based drug design Design ligands to interact with a know receptor April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 28 Molecular Modeling Workshop Useful Web Sites Laboratory for Molecular Simulation http://lms.chem.tamu.edu/ Listing of Hardware and Software available through the LMS Accelrys Inc. http://www.accelrys.com/ Chemical Computing Group, Inc. http://www.chemcomp.com/software.htm MOE – Molecular Operating Environment Schrödinger Inc. http://www.schrodinger.com/ http://www.schrodinger.com/supporttraining/18/ Support videos Tripos, Inc. http://www.tripos.com/ SYBYL software Gaussian, Inc. http://www.gaussian.com/ April 10, 2015 Laboratory for Molecular Simulation, Texas A&M University 29
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