Theoretical analysis of facilitated diffusion process in a liquid membrane: Adomian decomposition method

The mathematical model of facilitated transport systems in steady-state conditions is discussed. The nonlinear component associated with chemical reactions and diffusion in nonlinear equations forms the basis of this model. By solving the nonlinear equation using the Adomian decomposition method, we can obtain the analytical expression of the concentration of species. The simple expression of the facilitation factor ( ratio between the total flux of solute and that of the absence of carrier) is also reported. The parameters' influence on species concentration and facilitation factors are discussed. A good agreement is obtained when we compare the numerical results for all parameter values with new analytical results.