Multiscale Boundary Conditions for Non-Fickian Diffusion Applied to Drug-Eluting Stents
Abstract
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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Information & Authors
Information
Published In
SIAM Journal on Applied Mathematics
Pages: 1184 - 1203
DOI: 10.1137/16M1107577
ISSN (online): 1095-712X
Copyright
© 2017, Society for Industrial and Applied Mathematics.
History
Submitted: 13 December 2016
Accepted: 25 April 2017
Published online: 3 August 2017
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Funding Information
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior https://doi.org/10.13039/501100002322 : EXCL/MAT-NAN/0114/2012
Fundação de Amparo à Pesquisa do Estado de São Paulo https://doi.org/10.13039/501100001807 : 2013/07375-0
Conselho Nacional de Desenvolvimento Científico e Tecnológico https://doi.org/10.13039/501100003593 : 307459/2016-0
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