Repository: Freie Universität Berlin, Math Department

Modeling of Drug Diffusion Based on Concentration Profiles in Healthy and Damaged Human Skin

Schulz, Robert and Yamamoto, Kenji and Klossek, André and Rancan, Fiorenza and Vogt, Annika and Schütte, Christof and Rühl, Eckart and Netz, Roland R. (2019) Modeling of Drug Diffusion Based on Concentration Profiles in Healthy and Damaged Human Skin. Biophysical Journal, 117 (5). pp. 998-1008. ISSN 00063495

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Based on experimental drug concentration profiles in healthy as well as tape-stripped ex vivo human skin, we model the penetration of the antiinflammatory drug dexamethasone into the skin layers by the one-dimensional generalized diffusion equation. We estimate the position-dependent free-energy and diffusivity profiles by solving the conjugated minimization problem, in which the only inputs are concentration profiles of dexamethasone in skin at three consecutive penetration times. The resulting free-energy profiles for damaged and healthy skin show only minor differences. In contrast, the drug diffusivity in the first 10 μm of the upper skin layer of damaged skin is 200-fold increased compared to healthy skin, which reflects the corrupted barrier function of tape-stripped skin. For the case of healthy skin, we examine the robustness of our method by analyzing the behavior of the extracted skin parameters when the number of input and output parameters are reduced. We also discuss techniques for the regularization of our parameter extraction method.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2755
Deposited By: Monika Drueck
Deposited On:18 Feb 2022 14:40
Last Modified:18 Feb 2022 14:40

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