Mathematical modeling of clearing liquid penetration into the skin

Mikhail M. Stolnitz; Alexey N. Bashkatov; Elina A. Genina; Valery V. Tuchin

doi:10.1117/12.741084

26 April 2007 Mathematical modeling of clearing liquid penetration into the skin

Mikhail M. Stolnitz, Alexey N. Bashkatov, Elina A. Genina, Valery V. Tuchin

Proceedings Volume 6535, Saratov Fall Meeting 2006: Optical Technologies in Biophysics and Medicine VIII; 653520 (2007) https://doi.org/10.1117/12.741084
Event: Saratov Fall Meeting 2006, 2006, Saratov, Russian Federation

Abstract

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.

Citation Download Citation

Mikhail M. Stolnitz, Alexey N. Bashkatov, Elina A. Genina, and Valery V. Tuchin "Mathematical modeling of clearing liquid penetration into the skin", Proc. SPIE 6535, Saratov Fall Meeting 2006: Optical Technologies in Biophysics and Medicine VIII, 653520 (26 April 2007); https://doi.org/10.1117/12.741084

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