A 3D model for mechanistic control of drug release
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.
