Mathematical modeling of clearing liquid penetration into the skin
Mikhail M. Stolnitz, Alexey Nikolaevich Bashkatov, Elina Alekseevna Genina, Valery Victorovich Tuchin · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2007
The mathematical model of clearing agent penetration at topical administration of the agent on skin surface has been developed. Two-dimensional plane case has been considered. Skin was presented as multilayer medium with different diffusion coefficients in each layer and boundary conditions between adjacent layers. Analytical solution of the boundary problem has been obtained and approximation for large time interval has been derived.