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.
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