Title: Drug elution model of coronary stent: effects of stent embedment and binding of drug

Authors: Akash Pradip Mandal; Prashanta Kumar Mandal

Addresses: Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India ' Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India

Abstract: Of concern is the transport of drug into and through the arterial wall from an embedded drug-eluting stent (DES), having struts of circular cross-section. The presence of the specific binding site action is modelled using a reversible chemical reaction. A mathematical model is developed where the free drug transport is considered as an unsteady convection-diffusion-reaction process, while the bound drug as a reaction-diffusion process. An explicit finite difference scheme has been used to tackle the governing equations of motion together with the realistic boundary conditions. Results include a parametric study, showing the spatio-temporal drug uptake and its retention in the arterial tissue, providing an understanding of how the strut embedment, diffusivity and reversible binding affect the distribution and binding of drug in the arterial tissue. The graphical results are consistent with those of previous investigations which further validate the applicability of the present model.

Keywords: strut embedment; drug-eluting stent; DES; free drug transport; bound drugs; chemical reaction; filtration velocity; coronary stents; drug binding sites; mathematical modelling; arterial wall; finite difference method; diffusivity; reversible binding.

DOI: 10.1504/IJBET.2016.074200

International Journal of Biomedical Engineering and Technology, 2016 Vol.20 No.2, pp.150 - 165

Received: 13 Mar 2015
Accepted: 22 Jul 2015
Published online: 16 Jan 2016 *

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