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

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.

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