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Modeling arterial wall drug concentrations following the insertion of a drug-eluting stent

McGinty, Sean and McKee, Sean and Wadsworth, Roger M. and McCormick, Christopher (2013) Modeling arterial wall drug concentrations following the insertion of a drug-eluting stent. SIAM Journal on Applied Mathematics, 73 (6). pp. 2004-2028. ISSN 0036-1399

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Abstract

A mathematical model of a drug-eluting stent is proposed. The model considers a polymer region, containing the drug initially, and a porous region, consisting of smooth muscle cells embedded in an extracellular matrix. An analytical solution is obtained for the drug concentration both in the target cells and the interstitial region of the tissue in terms of the drug release concentration at the interface between the polymer and the tissue. When the polymer region and the tissue region are considered as a coupled system, it can be shown, under certain assumptions, that the drug release concentration satisfies a Volterra integral equation which must be solved numerically in general. The drug concentrations, both in the cellular and extracellular regions, are then determined from the solution of this integral equation and used in deriving the mass of drug in the cells and extracellular space.

Item type: Article
ID code: 51985
Notes: © 2013 Society for Industrial and Applied Mathematics
Keywords: analytical solution, atherosclerosis, branch points, drug-eluting stent, laplace transforms, volterra integral equations, Chemical engineering, Mathematics, Applied Mathematics
Subjects: Technology > Chemical engineering
Science > Mathematics
Department: University of Strathclyde > University of Strathclyde
Faculty of Science > Strathclyde Institute of Pharmacy and Biomedical Sciences
Faculty of Engineering > Biomedical Engineering
Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date deposited: 27 Feb 2015 16:08
Last modified: 27 Sep 2017 01:17
Related URLs:
URI: https://strathprints.strath.ac.uk/id/eprint/51985
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