A multiple-pathway model for the diffusion of drugs in skin

A mathematical model for the diffusion of drugs in skin is presented. The penetration of the drug by both transcellular and intercellular pathways, as well as its interchange between these pathways, is considered. A pharmacologically motivated asymptotic limit is identified and analysed to obtain, in particular, an analytical expression for the flux of drug to the blood at steady state. Relevant model data is discussed, and some numerical results are also presented.