Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44955
Title: Diffusion, viscoelasticity and erosion: Analytical study and medical applications
Authors: Azhdari, Ebrahim 
Ferreira, José Augusto 
Oliveira, Paula de 
Silva, Pascoal 
Issue Date: 2015
Publisher: Elsevier
Issue Date: 2015
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Abstract: In this paper diffusion through a viscoelastic biodegradable material is studied. The phenomenon is described by a set of three coupled partial differential equations that take into account passive diffusion, stress driven diffusion and the degradation of the material. The stability properties of the model are studied. Erodible viscoelastic materials, as biodegradable polymers, have a huge range of applications in medicine to make drug eluting implants. Using the mathematical model the behavior of a particular ocular drug eluting implant which describes drug delivery into the vitreous chamber of the eye is presented. The model consists of coupled systems of partial differential equations linked by interface conditions. The chemical structure, the viscoelastic properties and the diffusion in the implant as well as the transport in the vitreous are taken into account to simulate the evolution in vivo of released drug. The dependence of the delivery profile on the properties of the material is addressed. Numerical simulations that illustrate the interplay between these phenomena are included.
URI: http://hdl.handle.net/10316/44955
Other Identifiers: 10.1016/j.cam.2014.01.025
DOI: 10.1016/j.cam.2014.01.025
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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