An analytical solution for percutaneous drug absorption: Application and removal of the vehicle

L. Simon, N. W. Loney

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The methods of Laplace transform were used to solve a mathematical model developed for percutaneous drug absorption. This model includes application and removal of the vehicle from the skin. A system of two linear partial differential equations was solved for the application period. The concentration of the medicinal agent in the skin at the end of the application period was used as the initial condition to determine the distribution of the drug in the skin following instantaneous removal of the vehicle. The influences of the diffusion and partition coefficients, clearance factor and vehicle layer thickness on the amount of drug in the vehicle and the skin were discussed.

Original languageEnglish (US)
Pages (from-to)119-139
Number of pages21
JournalMathematical Biosciences
Volume197
Issue number2
DOIs
StatePublished - Oct 2005

All Science Journal Classification (ASJC) codes

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

Keywords

  • Laplace transform
  • Partial differential equations
  • Percutaneous absorption
  • Residue theorem

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