Numerical solution and mathematical modelling of mass transport from medicated stent

Abstract

Restenosis in arteries is a major problem which can be controlled by using medicated stents. The controlled drug transport from medicated stents has a great effect in decreasing restenosis in arteries. Drug is coated on stents to keep away from the re-narrowing of the artery wall. This device has an advantage of a flexible time delivery of a curative drug to the adjoining blood vessel tissues. The aim of this study is to formulate a mathematical model which describe the process of drug transport from arterial wall and medicated stent. For this purpose, a 3D model is investigated to measure the impact of mass transport from drug eluting stent. The blood flow is modelled by dimensionless Navier stokes equations and the concentration of drug is driven by dimensionless` convection diffusion equation. The effect of diffusive and advective forces are discovered and these forces can be used to control the drug mass transport. Moreover, the effect of dimensionless parameters such as Peclet number Pe , porosity k and Re on mass transport from medicated stent and tissue layers is investigated. Characteristic Based Split Galerkin (CBSG) technique is applied to solve the dimensionless equations. In the application of stent-based drug delivery, the governing equations in this exploration give the premise of a plan for examining and computing mass transport in medicated stent and artery wall. The numerical results support to offer a good insight into the possible impacts of various parameters.