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Basic Mathematics in Skin Absorption

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Percutaneous Penetration Enhancers Drug Penetration Into/Through the Skin

Abstract

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

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Notes

  1. 1.

    DSkin® http://www.scientific-consilience.com

  2. 2.

    Python: http://www.python.org

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Authors and Affiliations

  1. Biopharmaceutics and Pharmaceutical Technology, Saarland University, Saarbrücken, Germany

    Dominik Selzer, Ulrich F. Schaefer, Claus-Michael Lehr & Steffi Hansen

  2. Department of Drug Delivery, Helmholtz Institute for Pharmaceutical Research Saarland, Saarbrücken, Germany

    Claus-Michael Lehr & Steffi Hansen

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  1. Dominik Selzer
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  2. Ulrich F. Schaefer
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  3. Claus-Michael Lehr
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  4. Steffi Hansen
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Correspondence to Steffi Hansen .

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  1. Apoteka “Beograd”, Belgrade, Serbia

    Nina Dragicevic

  2. San Francisco, California, USA

    Howard I. Maibach

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Selzer, D., Schaefer, U.F., Lehr, CM., Hansen, S. (2017). Basic Mathematics in Skin Absorption. In: Dragicevic, N., I. Maibach, H. (eds) Percutaneous Penetration Enhancers Drug Penetration Into/Through the Skin. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53270-6_1

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