A 3-D Finite Element Poisson–Nernst–Planck Model for the Analysis of Ion Transport Across Ionic Channels

Author

Coco, Salvatore ; Gazzo, Daniela ; Laudani, Antonino ; Pollicino, Giuseppe

Author_Institution

DIEES, Catania Univ.

Volume

43

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1461

Lastpage

1464

Abstract

A 3-D finite element steady-state Poisson-Nernst-Planck model is presented and applied to the analysis of the ion transport across ionic channels of the cellular membrane. The model allows us to obtain an accurate description of ion flow across the cell membrane. An example of application to the case of a K⁺ channel is also illustrated. The resulting current-voltage relationship for the K⁺ channel shows excellent agreement with experimental measurements

Keywords

Poisson equation; biomembrane transport; finite element analysis; 3D finite element Poisson-Nernst-Planck model; K⁺ channel; cell membranes; cellular membranes; current-voltage relationship; ion flows; ion transport analysis; ionic channels; steady-state model; Atomic measurements; Biomembranes; Cells (biology); Finite element methods; Geometry; Mathematical model; Microscopy; Poisson equations; Steady-state; Stochastic processes; Finite element method; Poisson–Nernst–Planck model; ion transport; membrane ionic channel;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2007.891402

Filename

4137696