Valence state parameters of all transition metal atoms in metalloproteins—development of ABEEMσπ fluctuating charge force field

To promote accuracy of the atom‐bond electronegativity equalization method (ABEEMσπ) fluctuating charge polarizable force fields, and extend it to include all transition metal atoms, a new parameter, the reference charge is set up in the expression of the total energy potential function. We select over 700 model molecules most of which model metalloprotein molecules that come from Protein Data Bank. We set reference charges for different apparent valence states of transition metals and calibrate the parameters of reference charges, valence state electronegativities, and valence state hardnesses for ABEEMσπ through linear regression and least square method. These parameters can be used to calculate charge distributions of metalloproteins containing transition metal atoms (Sc‐Zn, Y‐Cd, and Lu‐Hg). Compared the results of ABEEMσπ charge distributions with those obtained by ab initio method, the quite good linear correlations of the two kinds of charge distributions are shown. The reason why the STO‐3G basis set in Mulliken population analysis for the parameter calibration is specially explained in detail. Furthermore, ABEEMσπ method can also quickly and quite accurately calculate dipole moments of molecules. Molecular dynamics optimizations of five metalloproteins as the examples show that their structures obtained by ABEEMσπ fluctuating charge polarizable force field are very close to the structures optimized by the ab initio MP2/6–311G method. This means that the ABEEMσπ/MM can now be applied to molecular dynamics simulations of systems that contain metalloproteins with good accuracy. © 2014 Wiley Periodicals, Inc.

[1]  J. Ponder,et al.  Force fields for protein simulations. , 2003, Advances in protein chemistry.

[2]  Wei Yang,et al.  Modeling Structural Coordination and Ligand Binding in Zinc Proteins with a Polarizable Potential. , 2012, Journal of chemical theory and computation.

[3]  Xin Li,et al.  Study of lithium cation in water clusters: based on atom-bond electronegativity equalization method fused into molecular mechanics. , 2005, The journal of physical chemistry. A.

[4]  Alexander D. MacKerell,et al.  Accurate Calculation of Hydration Free Energies using Pair-Specific Lennard-Jones Parameters in the CHARMM Drude Polarizable Force Field. , 2010, Journal of chemical theory and computation.

[5]  Alexander D. MacKerell,et al.  Optimization of the CHARMM additive force field for DNA: Improved treatment of the BI/BII conformational equilibrium. , 2012, Journal of chemical theory and computation.

[6]  Margaret E. Johnson,et al.  Current status of the AMOEBA polarizable force field. , 2010, The journal of physical chemistry. B.

[7]  Charles L. Brooks,et al.  Fluctuating charge force fields: recent developments and applications from small molecules to macromolecular biological systems , 2006 .

[8]  Susumu Narita,et al.  Extended Mulliken electron population analysis , 1990 .

[9]  Harry A. Stern,et al.  Development of a polarizable force field for proteins via ab initio quantum chemistry: First generation model and gas phase tests , 2002, J. Comput. Chem..

[10]  M Karplus,et al.  Dynamics of proteins: elements and function. , 1983, Annual review of biochemistry.

[11]  P. Winget,et al.  Charge Model 3: A class IV Charge Model based on hybrid density functional theory with variable exchange , 2002 .

[12]  Cui Liu,et al.  Development of a Polarizable Force Field Using Multiple Fluctuating Charges per Atom. , 2010, Journal of chemical theory and computation.

[13]  Charles L. Brooks,et al.  CHARMM fluctuating charge force field for proteins: I parameterization and application to bulk organic liquid simulations , 2004, J. Comput. Chem..

[14]  Molecular dynamics simulation of HIV-protease with polarizable and non-polarizable force fields , 2009 .

[15]  W. L. Jorgensen,et al.  The OPLS [optimized potentials for liquid simulations] potential functions for proteins, energy minimizations for crystals of cyclic peptides and crambin. , 1988, Journal of the American Chemical Society.

[16]  Harry A. Stern,et al.  Fluctuating Charge, Polarizable Dipole, and Combined Models: Parameterization from ab Initio Quantum Chemistry , 1999 .

[17]  Nikolay Galkin,et al.  Application of a polarizable force field to calculations of relative protein–ligand binding affinities , 2008, Proceedings of the National Academy of Sciences.

[18]  Donald G. Truhlar,et al.  New Class IV Charge Model for Extracting Accurate Partial Charges from Wave Functions , 1998 .

[19]  Xin Li,et al.  Ion solvation in water from molecular dynamics simulation with the ABEEM/MM force field. , 2005, The journal of physical chemistry. A.

[20]  Wei Zhang,et al.  Strike a balance: Optimization of backbone torsion parameters of AMBER polarizable force field for simulations of proteins and peptides , 2006, J. Comput. Chem..

[21]  J. Šponer,et al.  Refinement of the Cornell et al. Nucleic Acids Force Field Based on Reference Quantum Chemical Calculations of Glycosidic Torsion Profiles , 2011, Journal of chemical theory and computation.

[22]  C. Sagui,et al.  Molecular dynamics simulations of DNA with polarizable force fields: convergence of an ideal B-DNA structure to the crystallographic structure. , 2006, The journal of physical chemistry. B.

[23]  J. C. Canongia Lopes,et al.  All-atom force field for molecular dynamics simulations on organotransition metal solids and liquids. Application to M(CO)(n) (M = Cr, Fe, Ni, Mo, Ru, or W) compounds. , 2013, The journal of physical chemistry. A.

[24]  D. Truhlar,et al.  Partial Atomic Charges and Screened Charge Models of the Electrostatic Potential. , 2012, Journal of chemical theory and computation.

[25]  Zhong-Zhi Yang,et al.  Direct evaluation of individual hydrogen bond energy in situ in intra‐ and intermolecular multiple hydrogen bonds system , 2012, J. Comput. Chem..

[26]  Jonas Boström,et al.  A NEMO potential that includes the dipole–quadrupole and quadrupole–quadrupole polarizability , 2010, J. Comput. Chem..

[27]  Alexander D. MacKerell,et al.  Force Field for Peptides and Proteins based on the Classical Drude Oscillator. , 2013, Journal of chemical theory and computation.

[28]  Ping Qian,et al.  A study of N-methylacetamide in water clusters: based on atom-bond electronegativity equalization method fused into molecular mechanics. , 2006, The Journal of chemical physics.

[29]  Mahlon Wilson,et al.  Comparison between the geometric and harmonic mean electronegativity equilibration techniques , 1989 .

[30]  Wilfred F. van Gunsteren,et al.  A polarizable empirical force field for molecular dynamics simulation of liquid hydrocarbons , 2014, J. Comput. Chem..

[31]  Robert B Best,et al.  Matching of additive and polarizable force fields for multiscale condensed phase simulations. , 2013, Journal of chemical theory and computation.

[32]  A. Rappé,et al.  Application of a universal force field to main group compounds , 1992 .

[33]  Paul W Ayers,et al.  Do the local softness and hardness indicate the softest and hardest regions of a molecule? , 2008, Chemistry.

[34]  D. York A generalized formulation of electronegativity equalization from density‐functional theory , 1995 .

[35]  J. G. Fripiat,et al.  Quantum mechanical calculations on molecular sieves. 2. Model cluster investigation of silicoaluminophosphates , 1990 .

[36]  Zhong-Zhi Yang,et al.  Atom-bond electronegativity equalization method fused into molecular mechanics. I. A seven-site fluctuating charge and flexible body water potential function for water clusters. , 2004, The Journal of chemical physics.

[37]  W. L. Jorgensen,et al.  Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids , 1996 .

[38]  W. Goddard,et al.  UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations , 1992 .

[39]  Zhong-Zhi Yang,et al.  Atomic Charge Calculation of Metallobiomolecules in Terms of the ABEEM Method. , 2007, Journal of chemical theory and computation.

[40]  William L Jorgensen,et al.  Special Issue on Polarization. , 2007, Journal of chemical theory and computation.

[41]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[42]  C. Cramer,et al.  Accurate partial atomic charges for high-energy molecules using class IV charge models with the MIDI! basis set , 2005 .

[43]  B. Berne,et al.  Combined fluctuating charge and polarizable dipole models: Application to a five-site water potential function , 2001 .

[44]  Michael L. Klein,et al.  Effective pair potentials and the properties of water , 1989 .

[45]  Alexander D. MacKerell,et al.  Polarizable empirical force field for alkanes based on the classical Drude oscillator model. , 2005, The journal of physical chemistry. B.

[46]  Alexander D. MacKerell,et al.  Impact of 2′‐hydroxyl sampling on the conformational properties of RNA: Update of the CHARMM all‐atom additive force field for RNA , 2011, J. Comput. Chem..

[47]  Bruce J. Berne,et al.  Dynamical Fluctuating Charge Force Fields: The Aqueous Solvation of Amides , 1996 .

[48]  Xiao Zhu,et al.  Recent developments and applications of the CHARMM force fields , 2012, Wiley interdisciplinary reviews. Computational molecular science.

[49]  M. V. Subbotin,et al.  Water properties from first principles: simulations by a general-purpose quantum mechanical polarizable force field. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[50]  Pengyu Y. Ren,et al.  Polarizable Atomic Multipole Water Model for Molecular Mechanics Simulation , 2003 .

[51]  Jiali Gao,et al.  The Design of a Next Generation Force Field: The X-POL Potential. , 2007, Journal of chemical theory and computation.

[52]  David J. Giesen,et al.  Class IV charge models: A new semiempirical approach in quantum chemistry , 1995, J. Comput. Aided Mol. Des..

[53]  Konstantin S. Smirnov,et al.  Consistent implementation of the electronegativity equalization method in molecular mechanics and molecular dynamics , 1996 .

[54]  Thomas Gaillard,et al.  Evaluation of DNA Force Fields in Implicit Solvation. , 2011, Journal of chemical theory and computation.

[55]  A. V. Duin,et al.  Molecular mechanics force field for tertiary carbocations , 1996 .

[56]  Wilfried J. Mortier,et al.  Electronegativity-equalization method for the calculation of atomic charges in molecules , 1986 .

[57]  C. J. Casewit,et al.  Application of a universal force field to organic molecules , 1992 .

[58]  M. V. Subbotin,et al.  A quantum mechanical polarizable force field for biomolecular interactions , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[59]  Ulf Ryde,et al.  Comparison of Methods to Obtain Force-Field Parameters for Metal Sites. , 2011, Journal of chemical theory and computation.

[60]  Pedro A Fernandes,et al.  Parameters for Molecular Dynamics Simulations of Manganese-Containing Metalloproteins. , 2013, Journal of chemical theory and computation.

[61]  Yang Wang,et al.  Investigation of base pairs containing oxidized guanine using ab initio method and ABEEMσπ polarizable force field. , 2014, Journal of molecular graphics & modelling.

[62]  Kenneth M Merz,et al.  Structural Survey of Zinc Containing Proteins and the Development of the Zinc AMBER Force Field (ZAFF). , 2010, Journal of chemical theory and computation.

[63]  Toon Verstraelen,et al.  Assessment of Atomic Charge Models for Gas-Phase Computations on Polypeptides. , 2012, Journal of chemical theory and computation.

[64]  Anastassia N Alexandrova,et al.  Polarization Effects for Hydrogen-Bonded Complexes of Substituted Phenols with Water and Chloride Ion. , 2007, Journal of chemical theory and computation.

[65]  Holger Gohlke,et al.  The Amber biomolecular simulation programs , 2005, J. Comput. Chem..

[66]  Xin Li,et al.  Hydration of Li+ -ion in atom-bond electronegativity equalization method-7P water: a molecular dynamics simulation study. , 2005, The Journal of chemical physics.

[67]  Zhong-Zhi Yang,et al.  Study on structures and properties of ammonia clusters (NH3)n (n=1-5) and liquid ammonia in terms of ab initio method and atom-bond electronegativity equalization method ammonia-8P fluctuating charge potential model. , 2010, The Journal of chemical physics.

[68]  Shina Caroline Lynn Kamerlin,et al.  Force Field Independent Metal Parameters Using a Nonbonded Dummy Model , 2014, The journal of physical chemistry. B.

[69]  Zhili Zuo,et al.  Calculations of the Free Energy of Interaction of the c-Fos-c-Jun Coiled Coil: Effects of the Solvation Model and the Inclusion of Polarization Effects , 2010, J. Chem. Inf. Model..

[70]  G. Lamoureux,et al.  Cation-π and π-π Interactions in Aqueous Solution Studied Using Polarizable Potential Models. , 2012, Journal of chemical theory and computation.

[71]  Dong-Xia Zhao,et al.  Ab initio and ABEEM/MM fluctuating charge model studies of dimethyl phosphate anion in a microhydrated environment , 2009 .

[72]  Pengyu Y. Ren,et al.  Polarizable Atomic Multipole-based Molecular Mechanics for Organic Molecules. , 2011, Journal of chemical theory and computation.

[73]  Johann Gasteiger,et al.  Electronegativity equalization: application and parametrization , 1985 .

[74]  Qiang Zhang,et al.  Study of peptide conformation in terms of the ABEEM/MM method , 2006, J. Comput. Chem..

[75]  Zhong-Zhi Yang,et al.  General atom-bond electronegativity equalization method and its application in prediction of charge distributions in polypeptide , 2000 .

[76]  Darrin M. York,et al.  A chemical potential equalization method for molecular simulations , 1996 .

[77]  Alexander D. MacKerell,et al.  Development of CHARMM polarizable force field for nucleic acid bases based on the classical Drude oscillator model. , 2011, The journal of physical chemistry. B.

[78]  P. Geerlings,et al.  Conceptual density functional theory. , 2003, Chemical reviews.

[79]  Donald G Truhlar,et al.  Including Charge Penetration Effects in Molecular Modeling. , 2010, Journal of chemical theory and computation.

[80]  Xin Li,et al.  Molecular-dynamics simulations of alkaline-earth metal cations in water by atom-bond electronegativity equalization method fused into molecular mechanics. , 2005, The Journal of chemical physics.

[81]  Donald G Truhlar,et al.  Charge Model 4 and Intramolecular Charge Polarization. , 2007, Journal of chemical theory and computation.

[82]  Asbjørn Holt,et al.  An intramolecular induction correction model of the molecular dipole moment , 2008, J. Comput. Chem..

[83]  Alexander D. MacKerell,et al.  Polarizability rescaling and atom-based Thole scaling in the CHARMM Drude polarizable force field for ethers , 2010, Journal of molecular modeling.

[84]  Jie Li,et al.  Development of polarizable models for molecular mechanical calculations. 4. van der Waals parametrization. , 2012, The journal of physical chemistry. B.

[85]  Fangfang Wang,et al.  Studies on the torsions of nucleic acids using ABEEMσπ/MM method , 2009 .

[86]  O Engkvist,et al.  Accurate Intermolecular Potentials Obtained from Molecular Wave Functions: Bridging the Gap between Quantum Chemistry and Molecular Simulations. , 2000, Chemical reviews.

[87]  Adri C. T. van Duin,et al.  Delft molecular mechanics: a new approach to hydrocarbon force fields. Inclusion of a geometry-dependent charge calculation , 1994 .

[88]  Arieh Warshel,et al.  Polarizable Force Fields:  History, Test Cases, and Prospects. , 2007, Journal of chemical theory and computation.

[89]  Donald G Truhlar,et al.  SM6:  A Density Functional Theory Continuum Solvation Model for Calculating Aqueous Solvation Free Energies of Neutrals, Ions, and Solute-Water Clusters. , 2005, Journal of chemical theory and computation.

[90]  P. Kollman,et al.  How well does a restrained electrostatic potential (RESP) model perform in calculating conformational energies of organic and biological molecules? , 2000 .

[91]  L. Banci Molecular dynamics simulations of metalloproteins. , 2003, Current opinion in chemical biology.

[92]  Araz Jakalian,et al.  Fast, efficient generation of high‐quality atomic charges. AM1‐BCC model: I. Method , 2000 .

[93]  W. Goddard,et al.  Charge equilibration for molecular dynamics simulations , 1991 .

[94]  Riccardo Chelli,et al.  Towards a polarizable force field for molecular liquids , 2002 .

[95]  P. Procacci,et al.  A transferable polarizable electrostatic force field for molecular mechanics based on the chemical potential equalization principle , 2002 .

[96]  R. Hille,et al.  The mononuclear molybdenum enzymes. , 1996, Chemical reviews.

[97]  Chang-Sheng Wang,et al.  Atom−Bond Electronegativity Equalization Method. 1. Calculation of the Charge Distribution in Large Molecules , 1997 .

[98]  Steven J. Stuart,et al.  Dynamical fluctuating charge force fields: Application to liquid water , 1994 .

[99]  A class IV charge model for boron based on hybrid density functional theory , 2003 .

[100]  R. Parr Density-functional theory of atoms and molecules , 1989 .

[101]  Zhong-Zhi Yang,et al.  Atom-Bond Electronegativity Equalization Method Fused into Molecular Mechanics. II. A Seven-Site Fluctuating Charge and Flexible Body Water Potential Function for Liquid Water , 2004 .

[102]  R. Friesner,et al.  Evaluation and Reparametrization of the OPLS-AA Force Field for Proteins via Comparison with Accurate Quantum Chemical Calculations on Peptides† , 2001 .

[103]  Alexander D. MacKerell,et al.  All-atom empirical potential for molecular modeling and dynamics studies of proteins. , 1998, The journal of physical chemistry. B.

[104]  Zhong-Zhi Yang,et al.  A systemic investigation of hydrogen peroxide clusters (H2O2)n (n = 1-6) and liquid-state hydrogen peroxide: based on atom-bond electronegativity equalization method fused into molecular mechanics and molecular dynamics. , 2011, The journal of physical chemistry. A.

[105]  Donald G Truhlar,et al.  Charge Model 5: An Extension of Hirshfeld Population Analysis for the Accurate Description of Molecular Interactions in Gaseous and Condensed Phases. , 2012, Journal of chemical theory and computation.

[106]  Pengyu Y. Ren,et al.  Consistent treatment of inter‐ and intramolecular polarization in molecular mechanics calculations , 2002, J. Comput. Chem..

[107]  Alexander D. MacKerell,et al.  Optimization of the additive CHARMM all-atom protein force field targeting improved sampling of the backbone φ, ψ and side-chain χ(1) and χ(2) dihedral angles. , 2012, Journal of chemical theory and computation.

[108]  S. Rick Simulations of ice and liquid water over a range of temperatures using the fluctuating charge model , 2001 .

[109]  Zhong-Zhi Yang,et al.  Atom–bond electronegativity equalization method. II. Lone-pair electron model , 1999 .

[110]  D. Robinson A Polarizable Force-Field for Cholesterol and Sphingomyelin. , 2013, Journal of chemical theory and computation.

[111]  Li-Dong Gong Development and applications of the ABEEM fluctuating charge molecular force field in the ion-containing systems , 2012, Science China Chemistry.