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. Deng, Weishan; Xu, Jin; Zhao, Shan: On developing stable finite element methods for pseudo-time simulation of biomolecular electrostatics (2018)
  2. Song, Lunji; Zhao, Shan; Liu, Kaifang: A relaxed weak Galerkin method for elliptic interface problems with low regularity (2018)
  3. Zhong, Yimin; Ren, Kui; Tsai, Richard: An implicit boundary integral method for computing electric potential of macromolecules in solvent (2018)
  4. Cao, Yin; Wang, Bao; Xia, Kelin; Wei, Guowei: Finite volume formulation of the MIB method for elliptic interface problems (2017)
  5. Chen, Duan: Fractional Poisson-Nernst-Planck model for ion channels. I: Basic formulations and algorithms (2017)
  6. Chen, Long; Wei, Huayi; Wen, Min: An interface-fitted mesh generator and virtual element methods for elliptic interface problems (2017)
  7. Geng, Weihua; Zhao, Shan: A two-component matched interface and boundary (MIB) regularization for charge singularity in implicit solvation (2017)
  8. Mu, Lin; Xia, Kelin; Wei, Guowei: Geometric and electrostatic modeling using molecular rigidity functions (2017)
  9. Xie, Dexuan: New finite element iterative methods for solving a nonuniform ionic size modified Poisson-Boltzmann equation (2017)
  10. Chen, Duan: A new Poisson-Nernst-Planck model with ion-water interactions for charge transport in ion channels (2016)
  11. Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan: A new weak Galerkin finite element method for elliptic interface problems (2016)
  12. Cang, Zixuan; Mu, Lin; Wu, Kedi; Opron, Kristopher; Xia, Kelin; Wei, Guo-Wei: A topological approach for protein classification (2015)
  13. Hu, Langhua; Chen, Duan; Wei, Guo-Wei: Impact of geometric, thermal and tunneling effects on nano-transistors (2015)
  14. Jiang, Yi; Xie, Yang; Ying, Jinyong; Xie, Dexuan; Yu, Zeyun: SDPBS web server for calculation of electrostatics of ionic solvated biomolecules (2015)
  15. Wang, Bao; Xia, Kelin; Wei, Guo-Wei: Matched interface and boundary method for elasticity interface problems (2015)
  16. Wang, Bao; Xia, Kelin; Wei, Guo-Wei: Second order method for solving 3D elasticity equations with complex interfaces (2015)
  17. Ying, Jinyong; Xie, Dexuan: A new finite element and finite difference hybrid method for computing electrostatics of ionic solvated biomolecule (2015)
  18. Chen, Duan: Modeling and computation of heterogeneous implicit solvent and its applications for biomolecules (2014)
  19. Xia, Kelin; Feng, Xin; Chen, Zhan; Tong, Yiying; Wei, Guo-Wei: Multiscale geometric modeling of macromolecules. I: Cartesian representation (2014)
  20. Xia, Kelin; Wei, Guo-Wei: A Galerkin formulation of the MIB method for three dimensional elliptic interface problems (2014)

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