Multisite Ion Models That Improve Coordination and Free Energy Calculations in Molecular Dynamics Simulations.

Current ion models in molecular mechanics are simple spheres, and their interactions are solely determined from the van der Waals radius of the sphere and the total charge. Here, we introduce a model where we distribute the total charge of the ion into n-dummy centers that are placed in the direction of the coordinating atoms. We have parametrized this model for two divalent cations, Ca(2+) and Mg(2+), and have tested the model's accuracy in a variety of simulations. With this model we are not only able to correctly predict the free energies and selectivity for cation binding sites in proteins and nucleic acids, but we achieve better coordination geometries and can capture more subtle effects such as the exchange of inner shell waters. Additionally, this model does not employ higher-order electrostatics and thus can be easily used with standard force fields.

[1]  Yuan-Ping Pang,et al.  Novel Zinc Protein Molecular Dynamics Simulations: Steps Toward Antiangiogenesis for Cancer Treatment , 1999 .

[2]  J. Mccammon,et al.  Effect of artificial periodicity in simulations of biomolecules under Ewald boundary conditions: a continuum electrostatics study. , 1999, Biophysical chemistry.

[3]  J. Åqvist,et al.  Ion-water interaction potentials derived from free energy perturbation simulations , 1990 .

[4]  T. Straatsma,et al.  Free energy of ionic hydration: Analysis of a thermodynamic integration technique to evaluate free energy differences by molecular dynamics simulations , 1988 .

[5]  Arieh Warshel,et al.  Free energy relationships in metalloenzyme-catalyzed reactions. Calculations of the effects of metal ion substitutions in staphylococcal nuclease , 1990 .

[6]  R. Connick,et al.  Rate of water exchange from hydrated magnesium ion , 1970 .

[7]  Pengyu Y. Ren,et al.  Ion solvation thermodynamics from simulation with a polarizable force field. , 2003, Journal of the American Chemical Society.

[8]  A. Ferré-D’Amaré,et al.  Crystal structure of a hepatitis delta virus ribozyme , 1998, Nature.

[9]  B. Rode,et al.  Ab initio QM/MM MD simulations of the hydrated Ca2+ ion , 2004 .

[10]  L. Dang,et al.  Mechanism and Thermodynamics of Ion Selectivity in Aqueous Solutions of 18-Crown-6 Ether: A Molecular Dynamics Study , 1995 .

[11]  M. James,et al.  Crystal structures of the helix-loop-helix calcium-binding proteins. , 1989, Annual review of biochemistry.

[12]  Charles W. Bock,et al.  The Arrangement of First- and Second-Sphere Water Molecules in Divalent Magnesium Complexes: Results from Molecular Orbital and Density Functional Theory and from Structural Crystallography , 2002 .

[13]  L. Pauling THE PRINCIPLES DETERMINING THE STRUCTURE OF COMPLEX IONIC CRYSTALS , 1929 .

[14]  T. Cheatham,et al.  Determination of Alkali and Halide Monovalent Ion Parameters for Use in Explicitly Solvated Biomolecular Simulations , 2008, The journal of physical chemistry. B.

[15]  J. Falke,et al.  Molecular Tuning of Ion Binding to Calcium Signaling Proteins , 1994, Quarterly Reviews of Biophysics.

[16]  C. Dellago,et al.  Car-Parrinello molecular dynamics simulation of the calcium ion in liquid water , 2003 .

[17]  H. Ohtaki,et al.  Structure and dynamics of hydrated ions , 1993 .

[18]  S. Harvey,et al.  Bidentate RNA-magnesium clamps: on the origin of the special role of magnesium in RNA folding. , 2011, RNA.

[19]  S. Weerasinghe,et al.  A Kirkwood–Buff derived force field for sodium chloride in water , 2003 .

[20]  K. Moffat,et al.  The refined structure of vitamin D-dependent calcium-binding protein from bovine intestine. Molecular details, ion binding, and implications for the structure of other calcium-binding proteins. , 1986, The Journal of biological chemistry.

[21]  S. Linse,et al.  Structural basis for the negative allostery between Ca2+‐ and Mg2+ ‐binding in the intracellular Ca2+ ‐receptor calbindin D9k , 1997, Protein science : a publication of the Protein Society.

[22]  T. Cheatham,et al.  Molecular dynamics simulation of nucleic acids: Successes, limitations, and promise * , 2000, Biopolymers.

[23]  Y. Pang,et al.  Successful molecular dynamics simulation of the zinc-bound farnesyltransferase using the cationic dummy atom approach. , 2000, Protein science : a publication of the Protein Society.

[24]  Samuel H. Wilson,et al.  Magnesium-cationic dummy atom molecules enhance representation of DNA polymerase beta in molecular dynamics simulations: improved accuracy in studies of structural features and mutational effects. , 2007, Journal of molecular biology.

[25]  B. Roux,et al.  Molecular dynamics study of calbindin D9k in the apo and singly and doubly calcium‐loaded states , 1998, Proteins.

[26]  Yizhak Marcus,et al.  Ionic radii in aqueous solutions , 1983 .

[27]  L. Helm,et al.  Water exchange on metal ions: experiments and simulations , 1999 .

[28]  O. Teleman,et al.  A molecular dynamics simulation of bovine calbindin D sub 9k. Molecular structure an dynamics , 1989 .

[29]  Gabriel J. Cuello,et al.  Understanding the Effects of Concentration on the Solvation Structure of Ca2+ in Aqueous Solution. II: Insights into Longer Range Order from Neutron Diffraction Isotope Substitution , 2004 .

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

[31]  E. Hawlicka,et al.  Solvation of calcium ions in methanol-water mixtures: molecular dynamics simulation. , 2007, The journal of physical chemistry. B.

[32]  Edward D Harder,et al.  A theoretical study of aqueous solvation of K comparing ab initio, polarizable, and fixed-charge models. , 2007, Journal of chemical theory and computation.

[33]  K. Hermansson,et al.  Hydration of the calcium ion. An EXAFS, large-angle x-ray scattering, and molecular dynamics simulation study. , 2001, Journal of the American Chemical Society.

[34]  James P. Larentzos,et al.  A molecular dynamics study of alkaline earth metal-chloride complexation in aqueous solution. , 2008, The journal of physical chemistry. B.

[35]  L. Helm,et al.  Water exchange on magnesium(II) in aqueous solution: a variable temperature and pressure 17O NMR study , 1997 .

[36]  Charles W. Bock,et al.  Calcium Ion Coordination: A Comparison with That of Beryllium, Magnesium, and Zinc , 1996 .

[37]  A. Warshel,et al.  Computer simulation of the initial proton transfer step in human carbonic anhydrase I. , 1992, Journal of molecular biology.

[38]  Pengyu Y. Ren,et al.  Towards accurate solvation dynamics of divalent cations in water using the polarizable amoeba force field: From energetics to structure. , 2006, The Journal of chemical physics.

[39]  B. Roux,et al.  Absolute hydration free energy scale for alkali and halide ions established from simulations with a polarizable force field. , 2006, The journal of physical chemistry. B.

[40]  D. Beglov,et al.  Finite representation of an infinite bulk system: Solvent boundary potential for computer simulations , 1994 .

[41]  O. Teleman,et al.  Backbone dynamics of calbindin D9k: comparison of molecular dynamics simulations and nitrogen-15 NMR relaxation measurements , 1992 .

[42]  Richard M. Noyes,et al.  Thermodynamics of Ion Hydration as a Measure of Effective Dielectric Properties of Water , 1962 .

[43]  F. J. Luque,et al.  Frontiers in molecular dynamics simulations of DNA. , 2012, Accounts of chemical research.

[44]  J. Šponer,et al.  Refinement of the AMBER Force Field for Nucleic Acids: Improving the Description of α/γ Conformers , 2007 .

[45]  William L Jorgensen,et al.  Halide, Ammonium, and Alkali Metal Ion Parameters for Modeling Aqueous Solutions. , 2006, Journal of chemical theory and computation.

[46]  Alexander D. MacKerell,et al.  Simulating Monovalent and Divalent Ions in Aqueous Solution Using a Drude Polarizable Force Field. , 2010, Journal of chemical theory and computation.