A model of defecthyphen;mediated transport through amorphous membranes

摘要

We introduce a class of membrane diffusion models which consists of an impermeable slab punctured by transmembrane pores which are constructed by continuous randomhyphen;walk algorithms. These formally infinite tortuosity models closely resemble low tortuosity models in their steadyhyphen;state flux and total transient uptake. The sharpest contrast between random and homogeneous membranes is in the stretched exponential (subdiffusive) decay lsqb;exp(minus;tagr;), agr;=1/2rsqb; of the transient diffusive flux for the randomhyphen;pore models vs simple exponential decay lsqb;exp(minus;t)rsqb; for homogeneous membranes.