AFMPB: An adaptive fast multipole Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems
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文摘
A Fortran program package is introduced for rapid evaluation of the electrostatic potentials and forces in biomolecular systems modeled by the linearized Poisson-Boltzmann equation. The numerical solver utilizes a well-conditioned boundary integral equation (BIE) formulation, a node-patch discretization scheme, a Krylov subspace iterative solver package with reverse communication protocols, and an adaptive new version of the fast multipole method in which the exponential expansions are used to diagonalize the multipole-to-local translations. The program and its full description, as well as several closely related libraries and utility tools are available at and a mirror site at . This paper is a brief summary of the program: the algorithms, the implementation and the usage.

New version program summary

Program title: AFMPB

Catalogue identifier: AEGB_v1_1

Program summary URL:

Program obtainable from: CPC Program Library, Queen¡¯s University, Belfast, N. Ireland

Licensing provisions: GNU General Public License, version 2

No. of lines in distributed program, including test data, etc.: 440784

No. of bytes in distributed program, including test data, etc.: 8187139

Distribution format: tar.gz

Programming language: Fortran

Computer: Any

Operating system: Any

RAM: Depends on the size of the discretized biomolecular system

Classification: 3

External routines: Pre- and post-processing tools are required for generating the boundary elements and for visualization. Users can use MSMS () for pre-processing, and VMD () for visualization. Sub-programs included: An iterative Krylov subspace solvers package from SPARSKIT by Yousef Saad (), and the fast multipole methods subroutines from FMMSuite ().

Catalogue identifier of previous version: AEGB_v1_0

Journal reference of previous version: Comput. Phys. Comm. 181 (2010) 1150

Does the new version supersede the previous version?: Yes

Nature of problem: Numerical solution of the linearized Poisson-Boltzmann equation that describes electrostatic interactions of molecular systems in ionic solutions.

Solution method: A novel node-patch scheme is used to discretize the well-conditioned boundary integral equation formulation of the linearized Poisson-Boltzmann equation. Various Krylov subspace solvers can be subsequently applied to solve the resulting linear system, with a bounded number of iterations independent of the number of discretized unknowns. The matrix-vector multiplication at each iteration is accelerated by the adaptive new versions of fast multipole methods. The AFMPB solver requires other stand-alone pre-processing tools for boundary mesh generation, post-processing tools for data analysis and visualization, and can be conveniently coupled with different time stepping methods for dynamics simulation.

Reasons for new version: Some bugs are fixed in the new version.

Summary of revisions:

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The type definition of ippt1 in line 88 of FBEM/bempb.f and line 32 of FBEM/closecoef.f is changed from real *8 to integer*4, and a similar change is made for ippt in line 105 of FBEM/solvpb.f and in line 32 of FBEM/closecoef.f.

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In FBEM/elmgeom.f, line 239 ¡°ELSEIF (meshfmt.EQ.1.OR. meshfmt.EQ. 4.OR. meshfmt.EQ.5) THEN¡± is changed to ¡°ELSEIF (meshfmt.EQ.1.OR. meshfmt.EQ. 4) THEN¡±, line 478 ¡°KJ=IDFCL(K)+J-1¡± is changed to ¡°i=IDFCL(K)+J-1¡±, line 479 ¡°KJ=NE(KJ)¡± is changed to ¡°KJ=NE(i)¡±, line 480 ¡°KJ1=NE(KJ+1)¡± is changed to ¡°KJ1=NE(i+1)¡±, and line 647 ¡°?????STOP¡± is changed to ¡°c?????STOP¡±.

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Five subroutines in FMM part (syukadap.f, syukdn.f, slapadap.f, slapdn.f, and treeadap.f) are substituted with the new ones in the new version.

Restrictions: Only three or six significant digits options are provided in this version.

Unusual features: Most of the codes are in Fortran77 style. Memory allocation functions from Fortran90 and above are used in a few subroutines.

Additional comments: The current version of the codes is designed and written for single core/processor desktop machines. Check for updates and changes.

Running time: The running time varies with the number of discretized elements () in the system and their distributions. In most cases, it scales linearly as a function of .

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