Before revision:  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.
After revision:  The aim of this work is to propose a fully stochastic and discrete 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.