Solutions of Poisson's equation in channel-like geometries

Matthew Hoyles; Serdar Kuyucak; Shin Ho Chung

doi:10.1016/S0010-4655(98)00090-3

Solutions of Poisson's equation in channel-like geometries

Matthew Hoyles^*, Serdar Kuyucak, Shin Ho Chung

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

Abstract

Electric forces play a key role in the conductance of ions in biological channels. Therefore, their correct treatment is very important in making physical models of ion channels. Here, we present FORTRAN 90 codes for solution of Poisson's equation satisfying the Dirichlet boundary conditions in realistic channel geometries that can be used in studies of ion channels. For a general channel shape, we discuss a numerical solution of Poisson's equation based on an iterative technique. We also provide an analytical solution of Poisson's equation in toroidal coordinates and its numerical implementation. A torus shaped channel is closer to reality than a cylindrical one, hence it could serve as a useful test model.

Original language	English
Pages (from-to)	45-68
Number of pages	24
Journal	Computer Physics Communications
Volume	115
Issue number	1
DOIs	https://doi.org/10.1016/S0010-4655(98)00090-3
Publication status	Published - 1 Dec 1998

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10.1016/S0010-4655(98)00090-3

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AU - Hoyles, Matthew

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AU - Chung, Shin Ho

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N2 - Electric forces play a key role in the conductance of ions in biological channels. Therefore, their correct treatment is very important in making physical models of ion channels. Here, we present FORTRAN 90 codes for solution of Poisson's equation satisfying the Dirichlet boundary conditions in realistic channel geometries that can be used in studies of ion channels. For a general channel shape, we discuss a numerical solution of Poisson's equation based on an iterative technique. We also provide an analytical solution of Poisson's equation in toroidal coordinates and its numerical implementation. A torus shaped channel is closer to reality than a cylindrical one, hence it could serve as a useful test model.

AB - Electric forces play a key role in the conductance of ions in biological channels. Therefore, their correct treatment is very important in making physical models of ion channels. Here, we present FORTRAN 90 codes for solution of Poisson's equation satisfying the Dirichlet boundary conditions in realistic channel geometries that can be used in studies of ion channels. For a general channel shape, we discuss a numerical solution of Poisson's equation based on an iterative technique. We also provide an analytical solution of Poisson's equation in toroidal coordinates and its numerical implementation. A torus shaped channel is closer to reality than a cylindrical one, hence it could serve as a useful test model.

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KW - Poisson's equation

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Solutions of Poisson's equation in channel-like geometries

Abstract

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