A mathematical model relating diffusion of hydrophobic ions to their adsorption on biological membranes as detected with a microdialyzer

We analyze the diffusion of hydrophobic molecules in a dialysis apparatus with respect to their adsorption on biological membrane vesicles confined to one dialysis chamber. The process is described with a kinetic model, which shows that, depending on the pattern of the adsorption isotherm, the kinetic parameter of the diffusion process through the dialysis membrane is up to two-fold increased by the presence of the adsorbing vesicle surface. The model successfully describes the diffusion of tetraphenylborate and 9-aminoacridine in the presence of chromatophores from photosynthetic membrane, with which they interact with hyperbolic and S-shaped isotherms, respectively.