Proton transport across charged membrane and pH oscillations.

Based on Eyring's multibarrier activation process, a mathematical model and equation is developed to account for proton diffusion through an immobilized protein and enzyme membrane perfused with an electrolyte, substrate, and a buffer. With this model we find that, in the presence of a buffer, our solution approaches the continuum case very rapidly. We apply our model to membranes composed of papain and bovine serum albumin and find that our theory closely stimulates the experimental observations on the effect of salt and buffer on proton diffusion. Our theory shows that the pH oscillations observed in the diffusion controlled papain-benzoyl-L-arginine ethyl ester (BAEE) reaction may be the result of CO2 dissolved in the bath at high pH. In our theory, under certain conditions and in agreement with experimental observation, the buffer penetration depth oscillates near the boundary of a papain membrane in a solution containing BAEE and borate. We also find that at low ionic strength small ions as well as a buffer are seen to oscillate if a membrane is highly charged.