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 model describing the main characteristics of a multiple channel system . The movement of the ions is coupled, as usual, with a Poisson equation for the electrical field; we have considered in addition the influence of exclusion forces. On the other hand, we have discussed about the nondimensionalization of the stochastic system by using real physical parameters, all supported by numerical simulation, are discussed.