MEMBRANE-DIFFUSION AND FLUX RESPONSE

A linear diffusion convection equation for the transport of a single c hemical component through a membrane is coupled with a linear reaction equation describing interaction of the diffusing chemical with an imm obile reactant. Expressions are derived for the flux responses in and out of the membrane to given concentrations applied at one side of the membrane while zero concentration is maintained at the other. These f luxes are compared with the corresponding fluxes for the complementary experiment in which the imposed boundary concentration at the two fac es of the membrane are interchanged. Ussing-type Aux-ratio relationshi ps are obtained for the outflow fluxes, but the inflow fluxes respond in a different way, and it is found that the difference of the influxe s for complementary experiments remain constant for all time.