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

Research output: Contribution to journalArticle

10 Citations (Scopus)

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.
LanguageEnglish
Pages266-279
Number of pages14
JournalInternational Journal of Heat and Mass Transfer
Volume90
Early online date4 Jul 2015
DOIs
Publication statusPublished - Nov 2015

Fingerprint

Stent
Stents
Anisotropy
Uniformity
Drugs
Anisotropic Diffusion
drugs
Tissue
One-dimensional Model
Three-dimensional
anisotropy
Pharmaceutical Preparations
Cartesian coordinate system
Convection
Justification
Analytical Model
Simplification
Cartesian coordinates
Numerical models
Predictors

Keywords

  • mathematical modelling
  • anisotropic diffusion
  • drug delivery
  • biological tissue
  • drug-eluting stents

Cite this

@article{61e6f77f1a3a41c9b13c3cd4ecc1a00a,
title = "Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue?",
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.",
keywords = "mathematical modelling, anisotropic diffusion, drug delivery, biological tissue, drug-eluting stents",
author = "Sean McGinty and Marcus Wheel and Sean McKee and Christopher McCormick",
year = "2015",
month = "11",
doi = "10.1016/j.ijheatmasstransfer.2015.06.061",
language = "English",
volume = "90",
pages = "266--279",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",

}

TY - JOUR

T1 - Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue?

AU - McGinty, Sean

AU - Wheel, Marcus

AU - McKee, Sean

AU - McCormick, Christopher

PY - 2015/11

Y1 - 2015/11

N2 - 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.

AB - 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.

KW - mathematical modelling

KW - anisotropic diffusion

KW - drug delivery

KW - biological tissue

KW - drug-eluting stents

UR - http://www.sciencedirect.com/science/article/pii/S0017931015006833

U2 - 10.1016/j.ijheatmasstransfer.2015.06.061

DO - 10.1016/j.ijheatmasstransfer.2015.06.061

M3 - Article

VL - 90

SP - 266

EP - 279

JO - International Journal of Heat and Mass Transfer

T2 - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

ER -