Analytical and Numerical Study of Diffusion through Biodegradable Viscoelastic Materials

Abstract

In this paper the transport of a drug through a viscoelastic biodegradable material is studied. The phenomenon is described by a set of three coupled partial differential equations that take into account passive diffusion, stress driven diffusion and the degradation of the material. The stability properties of the system are studied. Numerical simulations show an influence of viscoelastic and degradation parameters in agreement with the expected physical behaviour.