Affordable Access

Publisher Website

Coupled vehicle–skin models for drug release

Computer Methods in Applied Mechanics and Engineering
Publication Date
DOI: 10.1016/j.cma.2009.02.002
  • Coupled Vehicle–Skin Models
  • Drug Release
  • Integro-Differential Model
  • Numerical Approximation
  • Stability
  • Convergence
  • Mathematics


Abstract Percutaneous absorption of a drug delivered by a vehicle source is usually modeled by using diffusion Fick’s law. In this case, the model consists in a system of partial differential equations of diffusion type with a compatibility condition on the transition boundary between the vehicle and the skin. Using this model, the fractional drug release in both components – vehicle and skin – is proportional to the square root of the release time. Often experimental results show that the predicted drug concentration distribution in the vehicle and in the skin by the Fick’s model does not agree with experimental data. In this paper, we present a non-Fickian mathematical model for the introduced percutaneous absorption problem. In this new model, the Fick’s law for the flux is modified by introducing a non-Fickian contribution defined with a relaxation parameter related to the properties of the components. Combining the flux equation with the mass conservation law, a system of integro-differential equations is established with a compatibility condition on the boundary between the two components of the physical model. The stability analysis is presented. In order to simulate the mathematical model, its discrete version is introduced. The stability and convergence properties of the discrete system are studied. Numerical experiments are also included.

There are no comments yet on this publication. Be the first to share your thoughts.


Seen <100 times

More articles like this

Liposomes as vehicles for the local release of dru...

on Clinical science and molecular... August 1975

Topical drug vehicle effects on skin and inflammat...

on Inflammation research : offici... June 1997

[Skin--vehicle--drug, the decision criterion for s...

on Pharmazie in unserer Zeit September 1986

Factors determining the skin-drug-vehicle relation...

on Archives of Dermatology July 1960
More articles like this..