Title :
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
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;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2047251
