A 3D stationary Langevin-Lorentz-Poisson model for the analysis of ion transport across cell membranes

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Oliveri, Maria E.^{a; *} | Coco, Salvatore^b | Gazzo, Daniela S.M.^a | Giuffrida, Cinzia^b | Laudani, Antonino^b

Affiliations: [a] DMFCI, University of Catania, Viale A. Doria 6, Catania, I-95125, Italy | [b] DIEES, University of Catania, Viale A. Doria 6, Catania, I-95125, Italy

Correspondence: [*] Corresponding author. Tel.: +39 095 738 2807; Fax: +39 095 333 231; E-mail: [email protected]

Abstract: A 3D stationary Langevin-Lorentz-Poisson (LLP) coupled model is presented to investigate the ion transport across excitable cell membranes in the presence of external ELF magnetic field. The strategy proposed is based on an iterative scheme which alternates the solution of a Poisson problem with the time-domain integration of the Langevin-Lorentz equation. A Fokker-Planck analysis of the latter equation is perfomed to compute the statistical parameters of ion motion. This approach has been especially set up in order to take into account explicitly the ion-ion interaction inside ionic channels which has not been considered in literature. The simulations performed show that ELF magnetic field of low intensity (100 μT) can effect significantly the dynamical parameters of ion motion inside the channel provided that the ion-ion interaction is considered.

Keywords: Langevin-Lorentz equation, ion transport, ionic channel

DOI: 10.3233/JAE-2004-555

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 165-168, 2004