Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1001.65131
Hoyles, Matthew; Kuyucak, Serdar; Chung, Shin-Ho
Solutions of Poisson's equation in channel-like geometries. (English)
[J] Comput. Phys. Commun. 115, No.1, 45-68 (1998). ISSN 0010-4655

Summary: 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.

MSC 2000:: *65N38 Boundary element methods (BVP of PDE)
65N55 Multigrid methods; domain decomposition (BVP of PDE)
78A70 Biological appl. of optics and electromagnetic theory
92C30 Physiology
35J05 Laplace equation, etc.
65Y15 Packaged methods

Keywords: integral equation method; biological channels; ion channels; FORTRAN 90 codes; Poisson's equation; torus shaped channel

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]