Multi-Physics Modeling and Finite Element Approximation of Charge Flow in Ionic Channels

Author

Chini, Bice ; Jerome, Joseph W. ; Sacco, Riccardo

Author_Institution

Cellular & Molecular Pharmacology Sect., CNR Inst. of Neurosci., Milano

fYear

2006

fDate

24-26 April 2006

Firstpage

1

Lastpage

8

Abstract

This communication deals with the mathematical modeling and numerical simulation of charge transport in single-cell ionic channels. The adopted model consists of a coupled system comprising the Poisson-Nernst-Planck and the Navier-Stokes equations. Suitable functional iteration techniques are used to successively solve the model equations, and stable and conservative finite element methods are employed for the discretization of each linearized problem arising from decoupling. Models and computational techniques are validated on the numerical simulation of a two-dimensional ionic channel under several working conditions

Keywords

Navier-Stokes equations; Poisson equation; approximation theory; charge exchange; finite element analysis; molecular biophysics; Navier-Stokes equation; Poisson-Nernst-Planck equation; charge flow; charge transport; coupled system; finite element approximation; functional iteration technique; mathematical modeling; multiphysics modeling; numerical simulation; single cell ionic channels; Bioinformatics; Biological system modeling; Biomembranes; Computational modeling; Finite element methods; Genomics; Humans; Mathematical model; Numerical simulation; Poisson equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Thermal, Mechanical and Multiphysics Simulation and Experiments in Micro-Electronics and Micro-Systems, 2006. EuroSime 2006. 7th International Conference on

Conference_Location

Como

Print_ISBN

1-4244-0275-1

Type

conf

DOI

10.1109/ESIME.2006.1643975

Filename

1643975