Finite dose skin penetration: A comparison of concentration-depth profiles from experiment and simulation

Arne Naegel, Tsambika Hahn, Ulrich F. Schaefer, Claus Michael Lehr, Michael Heisig*, Gabriel Wittum

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper we present a mathematical diffusion model describing the transient transdermal penetration of two non-volatile substances, the lipophilic flufenamic acid and the hydrophilic caffeine, after finite dosing in an aqueous vehicle system. A striking feature of this microscopic diffusion model is its ability to predict concentrationdepth profiles. Relevant input parameters are obtained from a previously published infinite dose study (Naegel et al in Eur J Pharm Biopharm 68:368-379, 2008; Hansen et al in Eur J Pharm Biopharm 68:352-367, 2008). The quality of the model has been evaluated by comparing the concentration-depth profiles in stratum corneum (SC) and deeper skin layers of the experiment with those of the simulation. The results from the experiment and the simulation are in good agreement. The study addresses benefits and shortcomings of the model, and discusses future perspectives such as incorporating different morphological regions of the SC.

Original languageEnglish (US)
Pages (from-to)327-339
Number of pages13
JournalComputing and Visualization in Science
Issue number7
StatePublished - Oct 2011
Externally publishedYes


  • Concentration-depth profiles
  • Drug diffusion
  • Finite dosing
  • Mathematical modelling
  • Numerical simulation
  • Skin
  • Stratum corneum

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • Modeling and Simulation
  • General Engineering
  • Computer Vision and Pattern Recognition
  • Computational Theory and Mathematics


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