A 3D Model for Mechanistic Control of Drug Release

Detalhes bibliográficos
Autor(a) principal: Ferreira, José Augusto
Data de Publicação: 2014
Outros Autores: Grassi, M., Gudin͂o, Elias, Oliveira, Paula de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44674
https://doi.org/10.1137/130930674
Resumo: A three-dimensional mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation, which induces a stress-driven diffusion and consequently a non-Fickian mass flux. A physically sound nonlinear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell--Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design.
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spelling A 3D Model for Mechanistic Control of Drug ReleaseA three-dimensional mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation, which induces a stress-driven diffusion and consequently a non-Fickian mass flux. A physically sound nonlinear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell--Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design.Society for Industrial and Applied Mathematics (SIAM)2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44674http://hdl.handle.net/10316/44674https://doi.org/10.1137/130930674https://doi.org/10.1137/130930674enghttp://epubs.siam.org/doi/10.1137/130930674Ferreira, José AugustoGrassi, M.Gudin͂o, EliasOliveira, Paula deinfo: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:RCAAP2021-09-03T11:27:18Zoai:estudogeral.uc.pt:10316/44674Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:25.023521Repositório 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 A 3D Model for Mechanistic Control of Drug Release
title A 3D Model for Mechanistic Control of Drug Release
spellingShingle A 3D Model for Mechanistic Control of Drug Release
Ferreira, José Augusto
title_short A 3D Model for Mechanistic Control of Drug Release
title_full A 3D Model for Mechanistic Control of Drug Release
title_fullStr A 3D Model for Mechanistic Control of Drug Release
title_full_unstemmed A 3D Model for Mechanistic Control of Drug Release
title_sort A 3D Model for Mechanistic Control of Drug Release
author Ferreira, José Augusto
author_facet Ferreira, José Augusto
Grassi, M.
Gudin͂o, Elias
Oliveira, Paula de
author_role author
author2 Grassi, M.
Gudin͂o, Elias
Oliveira, Paula de
author2_role author
author
author
dc.contributor.author.fl_str_mv Ferreira, José Augusto
Grassi, M.
Gudin͂o, Elias
Oliveira, Paula de
description A three-dimensional mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation, which induces a stress-driven diffusion and consequently a non-Fickian mass flux. A physically sound nonlinear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell--Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design.
publishDate 2014
dc.date.none.fl_str_mv 2014
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/10316/44674
http://hdl.handle.net/10316/44674
https://doi.org/10.1137/130930674
https://doi.org/10.1137/130930674
url http://hdl.handle.net/10316/44674
https://doi.org/10.1137/130930674
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://epubs.siam.org/doi/10.1137/130930674
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics (SIAM)
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics (SIAM)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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
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