Efficient evaluation of the effective dielectric function of a macromolecule in aqueous solution

We propose an analytical approach to calculate the effective dielectric function of proteins in aqueous solution. The screening effect if quantified by a measure of enclosure which is based on the distribution of solute atomic volumes around a pair of charges in a macromolecule. For protein conformations that vary significantly in size and shape, a comparison with finite difference Poisson calculations shows that pair interaction energies, their sums and solvation energies are well reproduced. The approach rivals the speed of simple distance dependent dielectric functions and the accuracy of the generalized Born model. © 2003 Wiley Periodicals, Inc. J Comput Chem 24: 1936–1949, 2003

[1]  Jacopo Tomasi,et al.  Molecular Interactions in Solution: An Overview of Methods Based on Continuous Distributions of the Solvent , 1994 .

[2]  M K Gilson,et al.  Theory of electrostatic interactions in macromolecules. , 1995, Current opinion in structural biology.

[3]  B. Dominy,et al.  Development of a generalized Born model parameterization for proteins and nucleic acids , 1999 .

[4]  W. C. Still,et al.  The GB/SA Continuum Model for Solvation. A Fast Analytical Method for the Calculation of Approximate Born Radii , 1997 .

[5]  A. R. Srinivasan,et al.  Accurate representation of B-DNA double helical structure with implicit solvent and counterions. , 2002, Biophysical journal.

[6]  M. Karplus,et al.  pKa's of ionizable groups in proteins: atomic detail from a continuum electrostatic model. , 1990, Biochemistry.

[7]  David A. Case,et al.  Effective Born radii in the generalized Born approximation: The importance of being perfect , 2002, J. Comput. Chem..

[8]  Gregory D. Hawkins,et al.  Pairwise solute descreening of solute charges from a dielectric medium , 1995 .

[9]  C. Cramer,et al.  Implicit Solvation Models: Equilibria, Structure, Spectra, and Dynamics. , 1999, Chemical reviews.

[10]  M. Jiménez,et al.  De novo design of a monomeric three‐stranded antiparallel β‐sheet , 2008, Protein science : a publication of the Protein Society.

[11]  B. Honig,et al.  Calculation of the total electrostatic energy of a macromolecular system: Solvation energies, binding energies, and conformational analysis , 1988, Proteins.

[12]  M. Karplus,et al.  CHARMM: A program for macromolecular energy, minimization, and dynamics calculations , 1983 .

[13]  D. Case,et al.  Generalized born models of macromolecular solvation effects. , 2000, Annual review of physical chemistry.

[14]  F. J. Luque,et al.  Theoretical Methods for the Description of the Solvent Effect in Biomolecular Systems. , 2000, Chemical reviews.

[15]  M Karplus,et al.  Side-chain torsional potentials: effect of dipeptide, protein, and solvent environment. , 1979, Biochemistry.

[16]  J. Apostolakis,et al.  Continuum Electrostatic Energies of Macromolecules in Aqueous Solutions , 1997 .

[17]  Themis Lazaridis,et al.  Distance and exposure dependent effective dielectric function , 2002, J. Comput. Chem..

[18]  S. Hassan,et al.  A General Treatment of Solvent Effects Based on Screened Coulomb Potentials , 2000 .

[19]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[20]  E. Mehler Comparison of dielectric response models for simulating electrostatic effects in proteins. , 1990, Protein engineering.

[21]  W. Im,et al.  Continuum solvation model: Computation of electrostatic forces from numerical solutions to the Poisson-Boltzmann equation , 1998 .

[22]  J. Apostolakis,et al.  Evaluation of a fast implicit solvent model for molecular dynamics simulations , 2002, Proteins.

[23]  F. Young Biochemistry , 1955, The Indian Medical Gazette.

[24]  M. Levitt,et al.  Theoretical studies of enzymic reactions: dielectric, electrostatic and steric stabilization of the carbonium ion in the reaction of lysozyme. , 1976, Journal of molecular biology.

[25]  L. R. Scott,et al.  Electrostatics and diffusion of molecules in solution: simulations with the University of Houston Brownian dynamics program , 1995 .

[26]  W. C. Still,et al.  Semianalytical treatment of solvation for molecular mechanics and dynamics , 1990 .

[27]  C. Brooks,et al.  Novel generalized Born methods , 2002 .

[28]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[29]  B. Roux,et al.  Implicit solvent models. , 1999, Biophysical chemistry.

[30]  G. Eichele,et al.  Electrostatic effects in water-accessible regions of proteins , 1984 .

[31]  J. Warwicker,et al.  Calculation of the electric potential in the active site cleft due to alpha-helix dipoles. , 1982, Journal of molecular biology.