Bluues: a program for the analysis of the electrostatic properties of proteins based on generalized Born radii

BackgroundThe Poisson-Boltzmann (PB) equation and its linear approximation have been widely used to describe biomolecular electrostatics. Generalized Born (GB) models offer a convenient computational approximation for the more fundamental approach based on the Poisson-Boltzmann equation, and allows estimation of pairwise contributions to electrostatic effects in the molecular context.ResultsWe have implemented in a single program most common analyses of the electrostatic properties of proteins. The program first computes generalized Born radii, via a surface integral and then it uses generalized Born radii (using a finite radius test particle) to perform electrostic analyses. In particular the ouput of the program entails, depending on user's requirement:1) the generalized Born radius of each atom;2) the electrostatic solvation free energy;3) the electrostatic forces on each atom (currently in a dvelopmental stage);4) the pH-dependent properties (total charge and pH-dependent free energy of folding in the pH range -2 to 18;5) the pKa of all ionizable groups;6) the electrostatic potential at the surface of the molecule;7) the electrostatic potential in a volume surrounding the molecule;ConclusionsAlthough at the expense of limited flexibility the program provides most common analyses with requirement of a single input file in PQR format. The results obtained are comparable to those obtained using state-of-the-art Poisson-Boltzmann solvers. A Linux executable with example input and output files is provided as supplementary material.

[1]  Steven K. Burger,et al.  A parameterized, continuum electrostatic model for predicting protein pKa values , 2011, Proteins.

[2]  F Guarnieri,et al.  A self-consistent, microenvironment modulated screened coulomb potential approximation to calculate pH-dependent electrostatic effects in proteins. , 1999, Biophysical journal.

[3]  Rebecca C. Wade,et al.  Improving the Continuum Dielectric Approach to Calculating pKas of Ionizable Groups in Proteins , 1996 .

[4]  Tomasz Grycuk,et al.  Deficiency of the Coulomb-field approximation in the generalized Born model: An improved formula for Born radii evaluation , 2003 .

[5]  K. Houk,et al.  Benchmarking pKa Prediction Methods for Residues in Proteins. , 2008, Journal of chemical theory and computation.

[6]  Lenwood S. Heath,et al.  H++: a server for estimating pKas and adding missing hydrogens to macromolecules , 2005, Nucleic Acids Res..

[7]  Harianto Tjong,et al.  GBr(6): a parameterization-free, accurate, analytical generalized born method. , 2007, The journal of physical chemistry. B.

[8]  Jaydeep P Bardhan,et al.  Numerical solution of boundary-integral equations for molecular electrostatics. , 2009, The Journal of chemical physics.

[9]  BMC Bioinformatics , 2005 .

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

[11]  Gregory A. Grothaus,et al.  A simple clustering algorithm can be accurate enough for use in calculations of pKs in macromolecules , 2006, Proteins.

[12]  Mark A Olson,et al.  An efficient hybrid explicit/implicit solvent method for biomolecular simulations , 2004, J. Comput. Chem..

[13]  R. Zauhar,et al.  A new method for computing the macromolecular electric potential. , 1985, Journal of molecular biology.

[14]  Homme W Hellinga,et al.  An empirical model for electrostatic interactions in proteins incorporating multiple geometry‐dependent dielectric constants , 2003, Proteins.

[15]  William H. Press,et al.  Numerical Recipes in C, 2nd Edition , 1992 .

[16]  J. Kirkwood,et al.  Theory of Solutions of Molecules Containing Widely Separated Charges with Special Application to Zwitterions , 1934 .

[17]  Navin Pokala,et al.  Energy functions for protein design I: Efficient and accurate continuum electrostatics and solvation , 2004, Protein science : a publication of the Protein Society.

[18]  John Mongan,et al.  Analysis of integral expressions for effective Born radii. , 2007, The Journal of chemical physics.

[19]  Harley Flanders,et al.  Differentiation Under the Integral Sign , 1973 .

[20]  Andrew T. Fenley,et al.  Analytical electrostatics for biomolecules: beyond the generalized Born approximation. , 2006, The Journal of chemical physics.

[21]  P. Koehl Electrostatics calculations: latest methodological advances. , 2006, Current opinion in structural biology.

[22]  K. Chou,et al.  A fast and accurate method for predicting pKa of residues in proteins. , 2010, Protein engineering, design & selection : PEDS.

[23]  R. Friesner,et al.  Generalized Born Model Based on a Surface Integral Formulation , 1998 .

[24]  J. Andrew McCammon,et al.  Biological Applications of Electrostatic Calculations and Brownian Dynamics Simulations , 2007 .

[25]  Harianto Tjong,et al.  GBr6NL: a generalized Born method for accurately reproducing solvation energy of the nonlinear Poisson-Boltzmann equation. , 2007, The Journal of chemical physics.

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

[27]  Jan H. Jensen,et al.  Very fast empirical prediction and rationalization of protein pKa values , 2005, Proteins.

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

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

[30]  J. Tomasi,et al.  Electrostatic interaction of a solute with a continuum. A direct utilizaion of AB initio molecular potentials for the prevision of solvent effects , 1981 .

[31]  Nathan A. Baker,et al.  PDB2PQR: an automated pipeline for the setup of Poisson-Boltzmann electrostatics calculations , 2004, Nucleic Acids Res..

[32]  Gerhard Klebe,et al.  PDB2PQR: expanding and upgrading automated preparation of biomolecular structures for molecular simulations , 2007, Nucleic Acids Res..

[33]  M. Gilson,et al.  Prediction of pH-dependent properties of proteins. , 1994, Journal of molecular biology.

[34]  D. Case,et al.  Proton binding to proteins: pK(a) calculations with explicit and implicit solvent models. , 2004, Journal of the American Chemical Society.

[35]  Andrew T. Fenley,et al.  An analytical approach to computing biomolecular electrostatic potential. II. Validation and applications. , 2008, The Journal of chemical physics.

[36]  Peter Scheffel,et al.  Incorporating variable dielectric environments into the generalized Born model. , 2005, The Journal of chemical physics.

[37]  Charles L. Brooks,et al.  New analytic approximation to the standard molecular volume definition and its application to generalized Born calculations , 2003, J. Comput. Chem..

[38]  A. Klamt,et al.  COSMO-RS: an alternative to simulation for calculating thermodynamic properties of liquid mixtures. , 2010, Annual review of chemical and biomolecular engineering.

[39]  B. J. Yoon,et al.  A boundary element method for molecular electrostatics with electrolyte effects , 1990 .

[40]  D. Case,et al.  Modification of the Generalized Born Model Suitable for Macromolecules , 2000 .

[41]  Maria Teresa Neves-Petersen,et al.  Protein electrostatics: a review of the equations and methods used to model electrostatic equations in biomolecules--applications in biotechnology. , 2003, Biotechnology annual review.

[42]  A. Brigo,et al.  The Poisson–Boltzmann equation for biomolecular electrostatics: a tool for structural biology , 2002, Journal of molecular recognition : JMR.

[43]  C. Brooks,et al.  Recent advances in the development and application of implicit solvent models in biomolecule simulations. , 2004, Current opinion in structural biology.

[44]  Lisa Yan,et al.  A fast and accurate computational approach to protein ionization , 2008, Protein science : a publication of the Protein Society.

[45]  A. Klamt,et al.  COSMO : a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient , 1993 .

[46]  Benzhuo Lu,et al.  RecentProgress in NumericalMethods forthePoisson- Boltzmann Equation in Biophysical Applications , 2008 .

[47]  R. Aris Vectors, Tensors and the Basic Equations of Fluid Mechanics , 1962 .

[48]  Jan H. Jensen,et al.  Very fast prediction and rationalization of pKa values for protein–ligand complexes , 2008, Proteins.

[49]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[50]  Nathan A. Baker,et al.  Electrostatics of nanosystems: Application to microtubules and the ribosome , 2001, Proceedings of the National Academy of Sciences of the United States of America.

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

[52]  Benzhuo Lu,et al.  An Adaptive Fast Multipole Boundary Element Method for Poisson−Boltzmann Electrostatics , 2009, Journal of chemical theory and computation.

[53]  D. Case,et al.  Constant pH molecular dynamics in generalized Born implicit solvent , 2004, J. Comput. Chem..

[54]  Charles L Brooks,et al.  Recent advances in implicit solvent-based methods for biomolecular simulations. , 2008, Current opinion in structural biology.

[55]  J. Andrew McCammon,et al.  Computation of electrostatic forces on solvated molecules using the Poisson-Boltzmann equation , 1993 .

[56]  Nathan A. Baker,et al.  Improving implicit solvent simulations: a Poisson-centric view. , 2005, Current opinion in structural biology.

[57]  P. Beroza,et al.  Application of a pairwise generalized Born model to proteins and nucleic acids: inclusion of salt effects , 1999 .

[58]  Jan H. Jensen,et al.  Improved Treatment of Ligands and Coupling Effects in Empirical Calculation and Rationalization of pKa Values. , 2011, Journal of chemical theory and computation.

[59]  M. Sanner,et al.  Reduced surface: an efficient way to compute molecular surfaces. , 1996, Biopolymers.

[60]  Richard A. Friesner,et al.  What role do surfaces play in GB models? A new‐generation of surface‐generalized born model based on a novel gaussian surface for biomolecules , 2006, J. Comput. Chem..

[61]  Junjun Mao,et al.  MCCE2: Improving protein pKa calculations with extensive side chain rotamer sampling , 2009, J. Comput. Chem..

[62]  Charles L. Brooks,et al.  Generalized born model with a simple smoothing function , 2003, J. Comput. Chem..

[63]  A. Warshel,et al.  What are the dielectric “constants” of proteins and how to validate electrostatic models? , 2001, Proteins.

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

[65]  Andrew T. Fenley,et al.  An analytical approach to computing biomolecular electrostatic potential. I. Derivation and analysis. , 2008, The Journal of chemical physics.

[66]  William H. Press,et al.  Numerical recipes in C (2nd ed.): the art of scientific computing , 1992 .

[67]  Jan H. Jensen,et al.  PROPKA3: Consistent Treatment of Internal and Surface Residues in Empirical pKa Predictions. , 2011, Journal of chemical theory and computation.

[68]  Yun He,et al.  A statistical approach to the prediction of pKa values in proteins , 2007, Proteins.

[69]  Markus Holtz,et al.  Validation and Applications , 2011 .

[70]  Gregory D. Hawkins,et al.  Parametrized Models of Aqueous Free Energies of Solvation Based on Pairwise Descreening of Solute Atomic Charges from a Dielectric Medium , 1996 .

[71]  F. Grigoriev,et al.  Surface Generalized Born Method: A Simple, Fast, and Precise Implicit Solvent Model beyond the Coulomb Approximation , 2004 .

[72]  Jaydeep P Bardhan,et al.  Interpreting the Coulomb-field approximation for generalized-Born electrostatics using boundary-integral equation theory. , 2008, The Journal of chemical physics.

[73]  Alexander A. Rashin,et al.  A simple method for the calculation of hydration enthalpies of polar molecules with arbitrary shapes , 1987 .