MIBPB: A software package for electrostatic analysis. The Poisson–Boltzmann equation (PBE) is an established model for the electrostatic analysis of biomolecules. The development of advanced computational techniques for the solution of the PBE has been an important topic in the past two decades. This article presents a matched interface and boundary (MIB)-based PBE software package, the MIBPB solver, for electrostatic analysis. The MIBPB has a unique feature that it is the first interface technique-based PBE solver that rigorously enforces the solution and flux continuity conditions at the dielectric interface between the biomolecule and the solvent. For protein molecular surfaces, which may possess troublesome geometrical singularities, the MIB scheme makes the MIBPB by far the only existing PBE solver that is able to deliver the second-order convergence, that is, the accuracy increases four times when the mesh size is halved. The MIBPB method is also equipped with a Dirichlet-to-Neumann mapping technique that builds a Green’s function approach to analytically resolve the singular charge distribution in biomolecules in order to obtain reliable solutions at meshes as coarse as 1 Å — whereas it usually takes other traditional PB solvers 0.25 Å to reach similar level of reliability. This work further accelerates the rate of convergence of linear equation systems resulting from the MIBPB by using the Krylov subspace (KS) techniques. Condition numbers of the MIBPB matrices are significantly reduced by using appropriate KS solver and preconditioner combinations. Both linear and nonlinear PBE solvers in the MIBPB package are tested by protein–solvent solvation energy calculations and analysis of salt effects on protein–protein binding energies, respectively. © 2010 Wiley Periodicals, Inc. J Comput Chem, 2011

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  1. Cang, Zixuan; Mu, Lin; Wu, Kedi; Opron, Kristopher; Xia, Kelin; Wei, Guo-Wei: A topological approach for protein classification (2015)
  2. Jiang, Yi; Xie, Yang; Ying, Jinyong; Xie, Dexuan; Yu, Zeyun: SDPBS web server for calculation of electrostatics of ionic solvated biomolecules (2015)
  3. Wang, Bao; Xia, Kelin; Wei, Guo-Wei: Matched interface and boundary method for elasticity interface problems (2015)
  4. Chen, Duan: Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules (2014)
  5. Xia, Kelin; Zhan, Meng; Wei, Guo-Wei: MIB Galerkin method for elliptic interface problems (2014)
  6. Geng, Weihua; Jacob, Ferosh: A GPU-accelerated direct-sum boundary integral Poisson-Boltzmann solver (2013)
  7. Hu, Langhua; Chen, Duan; Wei, Guo-Wei: High-order fractional partial differential equation transform for molecular surface construction (2013)
  8. Li, Chuan; Li, Lin; Petukh, Marharyta; Alexov, Emil: Progress in developing Poisson-Boltzmann equation solvers (2013)
  9. Chen, Duan; Chen, Zhan; Wei, Guo-Wei: Quantum dynamics in continuum for proton transport. II: Variational solvent-solute interface (2012)
  10. Wei, Guo-Wei; Zheng, Qiong; Chen, Zhan; Xia, Kelin: Variational multiscale models for charge transport (2012)
  11. Xia, Kelin; Zhan, Meng; Wan, Decheng; Wei, Guo-Wei: Adaptively deformed mesh based interface method for elliptic equations with discontinuous coefficients (2012)
  12. Zheng, Qiong; Yang, Siyang; Wei, Guo-Wei: Biomolecular surface construction by PDE transform (2012)
  13. Chen, Zhan; Baker, Nathan A.; Wei, G.W.: Differential geometry based solvation model II: Lagrangian formulation (2011)
  14. Xia, Kelin; Zhan, Meng; Wei, Guo-Wei: MIB method for elliptic equations with multi-material interfaces (2011)
  15. Zheng, Qiong; Chen, Duan; Wei, Guo-Wei: Second-order Poisson-Nernst-Planck solver for ion transport (2011)
  16. Chen, Zhan; Baker, Nathan A.; Wei, G.W.: Differential geometry based solvation model. I: Eulerian formulation (2010)