Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres
Data(s) |
2011
|
---|---|
Resumo |
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 modelled 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 analyse 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 multi-layered drug delivery device is suggested, which allows for more flexible control of drug release. |
Formato |
application/pdf |
Identificador | |
Publicador |
Society for Industrial and Applied Mathematics |
Relação |
http://eprints.qut.edu.au/43864/4/43864.pdf DOI:10.1137/110821688 McCue, Scott W., Hsieh, Mike, Moroney, Timothy J., & Nelson, Mark I. (2011) Asymptotic and numerical results for a model of solvent-dependent drug diffusion through polymeric spheres. SIAM Journal on Applied Mathematics (SIAP), 71(6), pp. 2287-2311. |
Direitos |
Copyright 2011 Society for Industrial and Applied Mathematics |
Fonte |
Faculty of Science and Technology; Mathematical Sciences |
Palavras-Chave | #010201 Approximation Theory and Asymptotic Methods #010302 Numerical Solution of Differential and Integral Equations #111501 Basic Pharmacology #controlled drug release #solvent penetration #glassy-rubbery polymer transition #mathematical modelling #moving boundary problem #Stefan problem #formal asymptotics #kinetic undercooling #numerical solution |
Tipo |
Journal Article |