Numerical Simulation of Two Phase Mathematical Model for Transportation of Mass and Drug from Drug Eluting Stents

DOI10.1051/MMNP/201712510zbMath1382.92006OpenAlexW2763002466MaRDI QIDQ4607589

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Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/201712510

zbMATH Keywords

diffusionfinite element methodporous mediummass transportconvection-diffusion-reaction equationdrug releasedrug-eluting stent

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08)

Cites Work

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• A decade of modelling drug release from arterial stents
• A two-phase two-layer model for transdermal drug delivery and percutaneous absorption
• Modeling in biopharmaceutics, pharmacokinetics, and pharmacodynamics. Homogeneous and heterogeneous approaches.
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• MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE
• Controlled Release with Finite Dissolution Rate
• Modelling drug-eluting stents
• Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents
• Controlled Drug Release Asymptotics
• Modeling Arterial Wall Drug Concentrations Following the Insertion of a Drug-Eluting Stent

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