Coupling between fluxes in one-particle pores with fluctuating energy profiles. A theoretical study

We show theoretically that extending pore models to allow for fluctuations between configurations with different energy profiles results in the prediction of coupling between fluxes and forces of different species diffusing through singly occupied pores. Considering the case of a one-site, two-barrier pore capable of existing in two states, and using Eyring rate theory to describe the translocation of two permeant species, the flux of each is found to be linked to the driving force of the other via cross coefficients that are given as explicit functions of concentrations and potential, and that obey Onsager's relations when the system is near equilibrium. Conditions for the existence of coupling are that both states of the channel be permeable to both diffusing species and that the peaks of the two energy barrier shift by different amounts during the state transition of the pore. Some implications of this model on phenomena of biological interest are discussed briefly.