Diffusion in lipid bilayers containing barriers.

In epithelial cells, a barrier or tight junction restricts the diffusion of lipid probes from the apical to the basolateral side of the outer membrane bilayer. This phenomenon is studied theoretically with the diffusion equation on planar and spherical surfaces. Two models for the tight junction are considered: a penetrable barrier embedded in a monolayer and an impenetrable obstacle in the outer membrane of a bilayer than must be bypassed by flip-flopping between inner and outer membranes. The rate of passing from one side of the cell to the other is calculated for each of these models under steady state conditions. The results are compared with recent fluorescent photobleaching recovery experiments. The theoretical interpretation indicates that it would be difficult to distinguish experimentally between the flip-flop case and the barrier crossing case. Assuming a flip-flop model, large differences in the magnitude of the flip-flop rates of probes are necessary to explain the experimental results as suggested by Dragsten et al. (Dragsten, P. R., R. Blumenthal, and J. S. Handler, 1981, Nature [Lond.], 294:718--722).