Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 71, Issue 6, Pages 2287-2311Publisher
SIAM PUBLICATIONS
DOI: 10.1137/110821688
Keywords
controlled drug release; solvent penetration; glassy-rubbery polymer transition; moving boundary problem; multilayer system; formal asymptotics; kinetic undercooling
Categories
Ask authors/readers for more resources
A model for drug diffusion from a spherical polymeric drug delivery device is considered. The model contains two key features. The first is that solvent diffuses into the polymer, which then transitions from a glassy to a rubbery state. The interface between the two states of polymer is modeled as a moving boundary, whose speed is governed by a kinetic law; the same moving boundary problem arises in the one-phase limit of a Stefan problem with kinetic undercooling. The second feature is that drug diffuses only through the rubbery region, with a nonlinear diffusion coefficient that depends on the concentration of solvent. We analyze the model using both formal asymptotics and numerical computation, the latter by applying a front-fixing scheme with a finite volume method. Previous results are extended and comparisons are made with linear models that work well under certain parameter regimes. Finally, a model for a multilayered drug delivery device is suggested, which allows for more flexible control of drug release.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available