A New Stochastic LLP Model for Studying Extremely Low Frequency Bioelectromagnetic Interaction

Author

Calà, Enrica ; Coco, Salvatore ; Laudani, Antonino

Author_Institution

DIEES, Univ. of Catania, Catania, Italy

Volume

46

Issue

8

fYear

2010

Firstpage

3253

Lastpage

3256

Abstract

In this paper, we present a stochastic 3-D Langevin-Lorentz-Poisson (LLP) coupled model in order to investigate the ion transport across ionic channels situated on the cell membrane in the presence of external ELF magnetic fields. An iterative scheme is adopted, which alternates the solution of a Poisson problem with the time domain integration of a modified kind of Langevin-Lorentz equations. A Fokker-Planck analysis of the latter equations is performed to compute the statistical parameters of ion motion. An example of application to the analysis of a Ca++ membrane ionic channel is also given.

Keywords

Fokker-Planck equation; bioelectric phenomena; biological effects of fields; biomagnetism; biomembrane transport; stochastic processes; Ca++ membrane ionic channel; ELF magnetic field; ELF magnetic fields; Fokker-Planck analysis; LLP coupled model; Langevin-Lorentz equation; Poisson problem; bioelectromagnetic interaction; cell membrane; extremely low frequency magnetic fields; ion motion; ion transport; ionic channels; statistical parameter; stochastic 3-D Langevin-Lorentz-Poisson coupled model; stochastic LLP model; time domain integration; Biomembranes; Cells (biology); Couplings; Frequency; Geophysical measurement techniques; Ground penetrating radar; Magnetic analysis; Magnetic fields; Poisson equations; Stochastic processes; Bioelectromagnetism; Langevin–Lorentz–Poisson (LLP) problem; ionic channels; stochastic process;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2047251

Filename

5512931