Effect of explicit water molecules on ligand-binding affinities calculated with the MM/GBSA approach

We tested different approaches to including the effect of binding-site water molecules for ligand-binding affinities within the MM/GBSA approach (molecular mechanics combined with generalised Born and surface-area solvation). As a test case, we studied the binding of nine phenol analogues to ferritin. The effect of water molecules mediating the interaction between the receptor and the ligand can be studied by considering a few water molecules as a part of the receptor. We extended previous methods by allowing for a variable number of water molecules in the binding site. The effect of displaced water molecules can also be considered within the MM/GBSA philosophy by calculating the affinities of binding-site water molecules, both before and after binding of the ligand. To obtain proper energies, both the water molecules and the ligand need then to be converted to non-interacting ghost molecules and a single-average approach (i.e., the same structures are used for bound and unbound states) based on the simulations of both the complex and the free receptor can be used to improve the precision. The only problem is to estimate the free energy of an unbound water molecule. With an experimental estimate of this parameter, promising results were obtained for our test case.

[1]  Shuntaro Chiba,et al.  Evaluation of protein‐ligand binding free energy focused on its entropic components , 2012, J. Comput. Chem..

[2]  J. Andrew McCammon,et al.  Hydrophobic Association and Volume‐Confined Water Molecules , 2012 .

[3]  Christoph A. Sotriffer,et al.  Scoring Functions for Protein–Ligand Interactions , 2012 .

[4]  Pavel Hobza,et al.  Molecular dynamics simulations and thermodynamics analysis of DNA-drug complexes. Minor groove binding between 4',6-diamidino-2-phenylindole and DNA duplexes in solution. , 2003, Journal of the American Chemical Society.

[5]  Yasushi Tojo,et al.  Prediction of Potency of Protease Inhibitors Using Free Energy Simulations with Polarizable Quantum Mechanics-Based Ligand Charges and a Hybrid Water Model , 2009, J. Chem. Inf. Model..

[6]  P. Kollman,et al.  Binding of a diverse set of ligands to avidin and streptavidin: an accurate quantitative prediction of their relative affinities by a combination of molecular mechanics and continuum solvent models. , 2000, Journal of medicinal chemistry.

[7]  C. Cramer,et al.  Self-Consistent Reaction Field Model for Aqueous and Nonaqueous Solutions Based on Accurate Polarized Partial Charges. , 2007, Journal of chemical theory and computation.

[8]  Samuel Genheden,et al.  Comparison of end‐point continuum‐solvation methods for the calculation of protein–ligand binding free energies , 2012, Proteins.

[9]  Ricardo A. Mata,et al.  Free-energy perturbation and quantum mechanical study of SAMPL4 octa-acid host–guest binding energies , 2014, Journal of Computer-Aided Molecular Design.

[10]  P. Kollman,et al.  Continuum Solvent Studies of the Stability of DNA, RNA, and Phosphoramidate−DNA Helices , 1998 .

[11]  David J Huggins,et al.  Application of inhomogeneous fluid solvation theory to model the distribution and thermodynamics of water molecules around biomolecules. , 2012, Physical chemistry chemical physics : PCCP.

[12]  A. Warshel,et al.  Calculations of antibody-antigen interactions: microscopic and semi-microscopic evaluation of the free energies of binding of phosphorylcholine analogs to McPC603. , 1992, Protein engineering.

[13]  Woody Sherman,et al.  Contribution of Explicit Solvent Effects to the Binding Affinity of Small‐Molecule Inhibitors in Blood Coagulation Factor Serine Proteases , 2011, ChemMedChem.

[14]  G. Ciccotti,et al.  Numerical Integration of the Cartesian Equations of Motion of a System with Constraints: Molecular Dynamics of n-Alkanes , 1977 .

[15]  Felice C. Lightstone,et al.  Accounting for water molecules in drug design , 2011, Expert opinion on drug discovery.

[16]  G. Klebe,et al.  Approaches to the description and prediction of the binding affinity of small-molecule ligands to macromolecular receptors. , 2002, Angewandte Chemie.

[17]  J. Dunitz The entropic cost of bound water in crystals and biomolecules. , 1994, Science.

[18]  Wilfred F. van Gunsteren,et al.  Free enthalpies of replacing water molecules in protein binding pockets , 2012, Journal of Computer-Aided Molecular Design.

[19]  Johan Åqvist,et al.  Ligand binding affinity prediction by linear interaction energy methods , 1998, J. Comput. Aided Mol. Des..

[20]  Lingle Wang,et al.  Ligand binding to protein-binding pockets with wet and dry regions , 2011, Proceedings of the National Academy of Sciences.

[21]  Anna Kohlmann,et al.  Application of MM-GB/SA and WaterMap to SRC Kinase Inhibitor Potency Prediction. , 2012, ACS medicinal chemistry letters.

[22]  Julien Michel,et al.  Prediction of the water content in protein binding sites. , 2009, The journal of physical chemistry. B.

[23]  J. Aqvist,et al.  A new method for predicting binding affinity in computer-aided drug design. , 1994, Protein engineering.

[24]  Klaus R. Liedl,et al.  A challenging system: Free energy prediction for factor Xa , 2011, J. Comput. Chem..

[25]  Thomas Steinbrecher,et al.  Free Energy Calculations in Drug Lead Optimization , 2012 .

[26]  Peter Naur,et al.  The glutamate receptor GluR5 agonist (S)-2-amino-3-(3-hydroxy-7,8-dihydro-6H-cyclohepta[d]isoxazol-4-yl)propionic acid and the 8-methyl analogue: synthesis, molecular pharmacology, and biostructural characterization. , 2009, Journal of medicinal chemistry.

[27]  L M Amzel,et al.  Loss of translational entropy in binding, folding, and catalysis , 1997, Proteins.

[28]  H. Berendsen,et al.  Molecular dynamics with coupling to an external bath , 1984 .

[29]  W. Sherman,et al.  Understanding Kinase Selectivity Through Energetic Analysis of Binding Site Waters , 2010, ChemMedChem.

[30]  P. Kollman,et al.  Atomic charges derived from semiempirical methods , 1990 .

[31]  P. Kollman,et al.  A well-behaved electrostatic potential-based method using charge restraints for deriving atomic char , 1993 .

[32]  M. Klein,et al.  A Unitary Anesthetic Binding Site at High Resolution* , 2009, The Journal of Biological Chemistry.

[33]  Jacob Kongsted,et al.  Accurate predictions of nonpolar solvation free energies require explicit consideration of binding-site hydration. , 2011, Journal of the American Chemical Society.

[34]  A. Imberty,et al.  Role of Water Molecules in Structure and Energetics of Pseudomonas aeruginosa Lectin I Interacting with Disaccharides* , 2010, The Journal of Biological Chemistry.

[35]  V. Hornak,et al.  Comparison of multiple Amber force fields and development of improved protein backbone parameters , 2006, Proteins.

[36]  Jonathan W. Essex,et al.  Prediction of protein–ligand binding affinity by free energy simulations: assumptions, pitfalls and expectations , 2010, J. Comput. Aided Mol. Des..

[37]  Cristiano Ruch Werneck Guimarães,et al.  Addressing Limitations with the MM-GB/SA Scoring Procedure using the WaterMap Method and Free Energy Perturbation Calculations , 2010, J. Chem. Inf. Model..

[38]  Richard H. Henchman,et al.  Entropic cost of protein-ligand binding and its dependence on the entropy in solution. , 2009, The journal of physical chemistry. B.

[39]  S. Grimme Supramolecular binding thermodynamics by dispersion-corrected density functional theory. , 2012, Chemistry.

[40]  David A Pearlman,et al.  Evaluating the molecular mechanics poisson-boltzmann surface area free energy method using a congeneric series of ligands to p38 MAP kinase. , 2005, Journal of medicinal chemistry.

[41]  Lubomír Rulísek,et al.  Molecular analysis of the HIV-1 resistance development: enzymatic activities, crystal structures, and thermodynamics of nelfinavir-resistant HIV protease mutants. , 2007, Journal of molecular biology.

[42]  Benoît Roux,et al.  Grand canonical Monte Carlo simulations of water in protein environments. , 2004, The Journal of chemical physics.

[43]  Samuel Genheden,et al.  How to obtain statistically converged MM/GBSA results , 2009, J. Comput. Chem..

[44]  Samuel Genheden,et al.  A semiempirical approach to ligand‐binding affinities: Dependence on the Hamiltonian and corrections , 2012, J. Comput. Chem..

[45]  P. Kollman,et al.  Calculating structures and free energies of complex molecules: combining molecular mechanics and continuum models. , 2000, Accounts of chemical research.

[46]  Woody Sherman,et al.  High‐energy water sites determine peptide binding affinity and specificity of PDZ domains , 2009, Protein science : a publication of the Protein Society.

[47]  Martin Almlöf,et al.  Free energy calculations and ligand binding. , 2003, Advances in protein chemistry.

[48]  G. Whitesides,et al.  Water networks contribute to enthalpy/entropy compensation in protein-ligand binding. , 2013, Journal of the American Chemical Society.

[49]  S. Hannongbua,et al.  Bridge water mediates nevirapine binding to wild type and Y181C HIV-1 reverse transcriptase--evidence from molecular dynamics simulations and MM-PBSA calculations. , 2009, Journal of molecular graphics & modelling.

[50]  Julien Michel,et al.  Effects of Water Placement on Predictions of Binding Affinities for p38α MAP Kinase Inhibitors. , 2010, Journal of chemical theory and computation.

[51]  J. Andrew McCammon,et al.  MM-PBSA Captures Key Role of Intercalating Water Molecules at a Protein−Protein Interface , 2009, Journal of chemical theory and computation.

[52]  Jacob Kongsted,et al.  An improved method to predict the entropy term with the MM/PBSA approach , 2009, J. Comput. Aided Mol. Des..

[53]  Arieh Warshel,et al.  Absolute binding free energy calculations: On the accuracy of computational scoring of protein–ligand interactions , 2010, Proteins.

[54]  N. Vermeulen,et al.  The role of water molecules in computational drug design. , 2010, Current topics in medicinal chemistry.

[55]  A. Klamt Conductor-like Screening Model for Real Solvents: A New Approach to the Quantitative Calculation of Solvation Phenomena , 1995 .

[56]  Hongming Wang,et al.  Virtual fragment screening: an exploration of various docking and scoring protocols for fragments using Glide , 2009, J. Comput. Aided Mol. Des..

[57]  Ulf Ryde,et al.  The reaction mechanism of iron and manganese superoxide dismutases studied by theoretical calculations , 2006, J. Comput. Chem..

[58]  T. Darden,et al.  Particle mesh Ewald: An N⋅log(N) method for Ewald sums in large systems , 1993 .

[59]  Daniel Hoffmann,et al.  The Normal-Mode Entropy in the MM/GBSA Method: Effect of System Truncation, Buffer Region, and Dielectric Constant , 2012, J. Chem. Inf. Model..

[60]  Christian Kramer,et al.  MM/GBSA Binding Energy Prediction on the PDBbind Data Set: Successes, Failures, and Directions for Further Improvement , 2013, J. Chem. Inf. Model..

[61]  N. Foloppe,et al.  Towards predictive ligand design with free-energy based computational methods? , 2006, Current medicinal chemistry.

[62]  Gregory A Ross,et al.  Rapid and Accurate Prediction and Scoring of Water Molecules in Protein Binding Sites , 2012, PloS one.

[63]  Donald Hamelberg,et al.  Standard free energy of releasing a localized water molecule from the binding pockets of proteins: double-decoupling method. , 2004, Journal of the American Chemical Society.

[64]  Lars Olsen,et al.  Binding affinities in the SAMPL3 trypsin and host–guest blind tests estimated with the MM/PBSA and LIE methods , 2012, Journal of Computer-Aided Molecular Design.

[65]  G. Ulrich Nienhaus,et al.  Protein-Ligand Interactions , 2005, Methods in Molecular Biology™.

[66]  B. Brooks,et al.  Self-guided Langevin dynamics simulation method , 2003 .

[67]  Themis Lazaridis,et al.  Inhomogeneous Fluid Approach to Solvation Thermodynamics. 2. Applications to Simple Fluids , 1998 .

[68]  Jacob Kongsted,et al.  How accurate are continuum solvation models for drug-like molecules? , 2009, J. Comput. Aided Mol. Des..

[69]  Junmei Wang,et al.  Development and testing of a general amber force field , 2004, J. Comput. Chem..

[70]  Andrew C Good,et al.  Ranking poses in structure-based lead discovery and optimization: current trends in scoring function development. , 2007, Current opinion in drug discovery & development.

[71]  George M. Whitesides,et al.  Mechanism of the hydrophobic effect in the biomolecular recognition of arylsulfonamides by carbonic anhydrase , 2011, Proceedings of the National Academy of Sciences.

[72]  Haluk Resat,et al.  Solvation studies of DMP323 and A76928 bound to HIV protease: Analysis of water sites using grand canonical Monte Carlo simulations , 1998, Protein science : a publication of the Protein Society.

[73]  W. L. Jorgensen,et al.  Energetics of displacing water molecules from protein binding sites: consequences for ligand optimization. , 2009, Journal of the American Chemical Society.

[74]  U. Ryde,et al.  Ligand affinities predicted with the MM/PBSA method: dependence on the simulation method and the force field. , 2006, Journal of Medicinal Chemistry.

[75]  D. Case,et al.  Exploring protein native states and large‐scale conformational changes with a modified generalized born model , 2004, Proteins.

[76]  Niu Huang,et al.  Physics-based methods for studying protein-ligand interactions. , 2007, Current opinion in drug discovery & development.

[77]  M. Lepšík,et al.  Efficiency of a second‐generation HIV‐1 protease inhibitor studied by molecular dynamics and absolute binding free energy calculations , 2004, Proteins.

[78]  B. Berne,et al.  Role of the active-site solvent in the thermodynamics of factor Xa ligand binding. , 2008, Journal of the American Chemical Society.

[79]  Michael H. Mazor,et al.  Hydration of cavities in proteins : a molecular dynamics approach , 1990 .

[80]  W. L. Jorgensen,et al.  Comparison of simple potential functions for simulating liquid water , 1983 .

[81]  Caterina Barillari,et al.  Classification of water molecules in protein binding sites. , 2007, Journal of the American Chemical Society.