The memory formalism in the diffusion of drugs through skin membrane

The diffusion of drugs across a composite structure such as a biological membrane is a rather complex phenomenon, where the assumptions on which the Fick equations are based are not always true, because of the inhomogeneous nature of the lipid membrane, the diffusion rate and the solubility of the drug being strongly dependent on the local position across the membrane. These problems are particularly strengthened in composite structures of a considerable thickness such as the human skin, where the high heterogeneity provokes the transport through different simultaneous pathways. In this note, we generalize the diffusion model based on Fick's second equation by the introduction of a space-dependent diffusion constant within the memory formalism (diffusion with memory) approach. The model predictions have been compared with experimental results concerning the permeation of two different compounds through human skin in vivo, such as piroxicam, an anti-inflammatory drug and 4-cyanophenol, a test chemical model compound. In both cases, reasonably good agreement has been found.