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Title: A mathematical model for controlled drug delivery in swelling polymers
Authors: Ferreira, José Augusto 
Grassi, Mario 
Gudiño, Elias 
Oliveira, Paula de 
Issue Date: 2013
Publisher: CMMSE
Project: PEst-C/MAT/UI0324/2011 
Serial title, monograph or event: Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE 2013
Place of publication or event: Almería, Spain
Abstract: We propose a one-dimensional model to describe the sorption of a solvent by a polymeric membrane, followed by polymer swelling and drug release. We assume that the solvent diffuses into the membrane and induces a stress driven diffusion, that causes a non-Fickian mass flux. We assume that the drug is present in two states (dissolved and undissolved) and that its transport occurs by Fickian diffusion and non-linear dissolution. Polymer swelling is tracked with a volume conservation equation. The system of partial differential equations that define the model is numerically solved. A qualitative analysis of the dependence of the solutions on the parameters of the model shows a complete agreement with the expected physical behavior.
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos e Resumos em Livros de Actas

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