Mathematical modelling of low-frequency oscillations in solute transport by diffusion through a membrane

摘要

Low-frequency oscillations of concentration could occur in the case of substance diffusion through a membrane under stable external conditions. This phenomenon had been experimentally observed. A theoretical explanation of the phenomenon was given and the results of mathematical modelling were presented in the present paper. Models considering dependence of local conductivity of a membrane on concentration of a solution were studied. Emergence of positive feedback between fluctuations of flows and concentrations was shown. This determines an appearance of oscillations in the process of substance diffusion.