Basic Mathematics in Skin Absorption

Publication Type:

Book Chapter


Percutaneous Penetration Enhancers Drug Penetration Into/Through the Skin: Methodology and General Considerations, Springer Berlin Heidelberg, Berlin, Heidelberg, p.3 - 25 (2017)





Frequently, analysis of skin absorption does not only require the careful evaluation of experimental data but also the fundamental understanding of underlying physics to apply the appropriate mathematical concepts to attain insight into transport kinetics. This chapter will introduce the basic mathematics which are necessary to evaluate skin permeation and skin penetration experiments. The most common approaches are introduced and reviewed critically concerning their applicability as well as limitation. Solution techniques for dealing with infinite and finite dose cases are presented. Several analytical solutions for specific cases are presented and discussed, as well as an outlook on more advanced mathematical techniques and methods for in vitro-in vivo correlation of data.