A 3D MODEL FOR MECHANISTIC CONTROL OF DRUG RELEASE

作者:Ferreira J A*; Grassi M; Gudino E; De Oliveira Paula
来源:SIAM Journal on Applied Mathematics, 2014, 74(3): 620-633.
DOI:10.1137/130930674

摘要

A three-dimensional 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 nonlinear 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.

  • 出版日期2014