Events > Applied and Numerical Analysis Seminar

A 3D model for mechanistic control of drug release

13/03/2014 Thursday 13th March 2014, 14:30 (Room P3.10, Mathematics Building)  More
Elias Gudino, CMUC, Universidade de Coimbra

A 3D mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation which induces a stress driven diffusion and consequently a non-Fickian mass flux. A physically sound non linear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell-Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design.