Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue?

Mcginty, S. , Wheel, M., McKee, S. and McCormick, C. (2015) Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue? International Journal of Heat and Mass Transfer, 90, pp. 266-279. (doi:10.1016/j.ijheatmasstransfer.2015.06.061)

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Abstract

In this article we investigate the role of anisotropic diffusion on the resulting arterial wall drug distribution following stent-based delivery. The arterial wall is known to exhibit anisotropic diffusive properties, yet many authors neglect this, and it is unclear what effect this simplification has on the resulting arterial wall drug concentrations. Firstly, we explore the justification for neglecting the curvature of the cylindrical arterial wall in favour of using a Cartesian coordinate system. We then proceed to consider three separate transport regimes (convection dominated, diffusion dominated, reaction dominated) based on the range of parameter values available in the literature. By comparing the results of a simple one-dimensional model with those of a fully three-dimensional numerical model, we demonstrate, perhaps surprisingly, that the anisotropic diffusion can promote the spatial uniformity of drug concentrations, and furthermore, that the simple analytical one-dimensional model is an excellent predictor of the three-dimensional numerical results. However, the level of uniformity and the time taken to reach a uniform concentration profile depends on the particular regime considered. Furthermore, the more uniform the profile, the better the agreement between the one-dimensional and three-dimensional models. We discuss the potential implications in clinical practice and in stent design.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Mcginty, Dr Sean
Authors: Mcginty, S., Wheel, M., McKee, S., and McCormick, C.
College/School:College of Science and Engineering > School of Engineering
Journal Name:International Journal of Heat and Mass Transfer
Publisher:Pergamon Press (Elsevier Science)
ISSN:0017-9310
ISSN (Online):1879-2189
Copyright Holders:Copyright © 2015 The Authors
First Published:First published in International Journal of Heat and Mass Transfer 90:266-279
Publisher Policy:Reproduced under a Creative Commons License

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