Diffusion, viscoelasticity and erosion: Analytical study and medical applications
Autor(a) principal: | |
---|---|
Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/44955 https://doi.org/10.1016/j.cam.2014.01.025 |
Resumo: | 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. |
id |
RCAP_03a068fad3a7761322351a40bb50b0ea |
---|---|
oai_identifier_str |
oai:estudogeral.uc.pt:10316/44955 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Diffusion, viscoelasticity and erosion: Analytical study and medical applicationsIn 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.Elsevier2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44955http://hdl.handle.net/10316/44955https://doi.org/10.1016/j.cam.2014.01.025https://doi.org/10.1016/j.cam.2014.01.025enghttps://doi.org/10.1016/j.cam.2014.01.025Azhdari, EbrahimFerreira, José AugustoOliveira, Paula deSilva, Pascoalinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-06-29T10:02:58Zoai:estudogeral.uc.pt:10316/44955Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:25.998111Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
title |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
spellingShingle |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications Azhdari, Ebrahim |
title_short |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
title_full |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
title_fullStr |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
title_full_unstemmed |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
title_sort |
Diffusion, viscoelasticity and erosion: Analytical study and medical applications |
author |
Azhdari, Ebrahim |
author_facet |
Azhdari, Ebrahim Ferreira, José Augusto Oliveira, Paula de Silva, Pascoal |
author_role |
author |
author2 |
Ferreira, José Augusto Oliveira, Paula de Silva, Pascoal |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Azhdari, Ebrahim Ferreira, José Augusto Oliveira, Paula de Silva, Pascoal |
description |
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. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/44955 http://hdl.handle.net/10316/44955 https://doi.org/10.1016/j.cam.2014.01.025 https://doi.org/10.1016/j.cam.2014.01.025 |
url |
http://hdl.handle.net/10316/44955 https://doi.org/10.1016/j.cam.2014.01.025 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://doi.org/10.1016/j.cam.2014.01.025 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799133821168254976 |