Effects of epidermal turnover on the dynamics of percutaneous drug absorption

Laurent Simon, Kwang S. Kim, Kumud Kanneganti

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A method was proposed to evaluate the effect of desquamation on the time to reach steady-state drug delivery rate and concentration in the skin layers. Evaluation of the effective time constant, in terms of key physicochemical properties of the system, does not require solving the fundamental equations. Laplace transforms and the residue theorem were applied to monitor the evolution of the medicament in the skin layers and subsequent uptake into the systemic circulation. The equilibrium flux and the effective time constant declined with increasing stratum corneum turnover velocity and were not affected by the speed at which cells in the viable epidermis moved toward the surface of the skin. Ninety eight percent of the equilibrium penetration rate was reached after four time constants. This dynamic metric helped measure the extent to which high lipophilicity or molecular weight delayed percutaneous drug absorption.

Original languageEnglish (US)
Pages (from-to)16-21
Number of pages6
JournalMathematical Biosciences
Issue number1
StatePublished - Jan 2011

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


  • Effective time constant
  • Epidermal turnover
  • Percutaneous absorption


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