Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents

Detalhes bibliográficos
Autor(a) principal: Gudiño, Elías
Data de Publicação: 2017
Outros Autores: Oishi, Cassio M. [UNESP], Sequeira, Adélia
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1137/16M1107577
http://hdl.handle.net/11449/175121
Resumo: We propose a multiscale model for the study of blood flow, plasma filtration, and non-Fickian mass transport by a coronary drug-eluting stent. We derive an analytic solution of a one-dimensional model for non-Fickian diffusion and replace the problem of drug transport in the coating of the stent with suitable boundary conditions. In this way, the computational cost of numerical simulations in realistic three-dimensional stent geometries is reduced. Numerical experiments to show the effectiveness of the method are also presented.
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spelling Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stentsDrug deliveryDrug-eluting stentsMultiscale modelsNon-Fickian diffusionWe propose a multiscale model for the study of blood flow, plasma filtration, and non-Fickian mass transport by a coronary drug-eluting stent. We derive an analytic solution of a one-dimensional model for non-Fickian diffusion and replace the problem of drug transport in the coating of the stent with suitable boundary conditions. In this way, the computational cost of numerical simulations in realistic three-dimensional stent geometries is reduced. Numerical experiments to show the effectiveness of the method are also presented.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Mathematics Universidade Federal do ParanáDepartment of Mathematics and Computer Science Faculdade de Ciências e Tecnologia Universidade Estadual Paulista (UNESP)Department of Mathematics and CEMAT-IST Instituto Superior Técnico Universidade de LisboaDepartment of Mathematics and Computer Science Faculdade de Ciências e Tecnologia Universidade Estadual Paulista (UNESP)FAPESP: 2013/07375-0CNPq: 307459/2016-0Universidade Federal do Paraná (UFPR)Universidade Estadual Paulista (Unesp)Universidade de LisboaGudiño, ElíasOishi, Cassio M. [UNESP]Sequeira, Adélia2018-12-11T17:14:28Z2018-12-11T17:14:28Z2017-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1184-1203application/pdfhttp://dx.doi.org/10.1137/16M1107577SIAM Journal on Applied Mathematics, v. 77, n. 4, p. 1184-1203, 2017.0036-1399http://hdl.handle.net/11449/17512110.1137/16M11075772-s2.0-850286866002-s2.0-85028686600.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSIAM Journal on Applied Mathematics1,108info:eu-repo/semantics/openAccess2024-06-19T14:31:53Zoai:repositorio.unesp.br:11449/175121Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:22:33.342334Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
title Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
spellingShingle Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
Gudiño, Elías
Drug delivery
Drug-eluting stents
Multiscale models
Non-Fickian diffusion
title_short Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
title_full Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
title_fullStr Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
title_full_unstemmed Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
title_sort Multiscale boundary conditions for non-Fickian diffusion applied to drug-eluting stents
author Gudiño, Elías
author_facet Gudiño, Elías
Oishi, Cassio M. [UNESP]
Sequeira, Adélia
author_role author
author2 Oishi, Cassio M. [UNESP]
Sequeira, Adélia
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal do Paraná (UFPR)
Universidade Estadual Paulista (Unesp)
Universidade de Lisboa
dc.contributor.author.fl_str_mv Gudiño, Elías
Oishi, Cassio M. [UNESP]
Sequeira, Adélia
dc.subject.por.fl_str_mv Drug delivery
Drug-eluting stents
Multiscale models
Non-Fickian diffusion
topic Drug delivery
Drug-eluting stents
Multiscale models
Non-Fickian diffusion
description We propose a multiscale model for the study of blood flow, plasma filtration, and non-Fickian mass transport by a coronary drug-eluting stent. We derive an analytic solution of a one-dimensional model for non-Fickian diffusion and replace the problem of drug transport in the coating of the stent with suitable boundary conditions. In this way, the computational cost of numerical simulations in realistic three-dimensional stent geometries is reduced. Numerical experiments to show the effectiveness of the method are also presented.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01
2018-12-11T17:14:28Z
2018-12-11T17:14:28Z
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://dx.doi.org/10.1137/16M1107577
SIAM Journal on Applied Mathematics, v. 77, n. 4, p. 1184-1203, 2017.
0036-1399
http://hdl.handle.net/11449/175121
10.1137/16M1107577
2-s2.0-85028686600
2-s2.0-85028686600.pdf
url http://dx.doi.org/10.1137/16M1107577
http://hdl.handle.net/11449/175121
identifier_str_mv SIAM Journal on Applied Mathematics, v. 77, n. 4, p. 1184-1203, 2017.
0036-1399
10.1137/16M1107577
2-s2.0-85028686600
2-s2.0-85028686600.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv SIAM Journal on Applied Mathematics
1,108
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1184-1203
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128800876134400

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