Stochastic Modeling and Simulation of Ion Transport through Channels

Abstract Ion channels are of major interest and form an area of intensive research in the fields of biophysics and medicine, since they control many vital physiological functions. The aim of this work is to propose a fully stochastic model describing the main characteristics of a multiple channel system, in which ion movement is coupled with a Poisson–Nernst–Planck equation. Exclusion forces are considered and different nondimensionalization procedure, supported by numerical simulation, are discussed. Both cases of nano and micro channels are considered.a