Publication

Numerical simulation of drug delivery in blood flows

2014
Student Projects

Abstract

In this project we consider a simplified model of drug delivery in a stenosed artery. The goal is to simulate the diffusion and transport of drug in blood flows, and to evaluate how physical parameters, such as the drug diffusivity or the geometry of the artery, can influence the process. We model the drug delivery with an unsteady diffusion-advection-reaction equation, where the transport term is given by the blood velocity, obtained as the solution of the Navier-Stokes equations. Since the problem is transport dominated we consider suitable stabilization (namely SUPG and GLS stabilization) in order to control the numerical instabilities.

Official source

https://infoscience.epfl.ch/entities/publication/bf46db10-dd03-427f-83f9-c0c6bf2cda20

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2014
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/bf46db10-dd03-427f-83f9-c0c6bf2cda20

About this result

Related concepts (32)

Hemodynamics

Hemodynamics or haemodynamics are the dynamics of blood flow. The circulatory system is controlled by homeostatic mechanisms of autoregulation, just as hydraulic circuits are controlled by control systems. The hemodynamic response continuously monitors and adjusts to conditions in the body and its environment. Hemodynamics explains the physical laws that govern the flow of blood in the blood vessels.

Navier–Stokes equations

The Navier–Stokes equations (nævˈjeː_stəʊks ) are partial differential equations which describe the motion of viscous fluid substances, named after French engineer and physicist Claude-Louis Navier and Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842-1850 (Stokes). The Navier–Stokes equations mathematically express momentum balance and conservation of mass for Newtonian fluids.

Stenosis

A stenosis (from Ancient Greek στενός, "narrow") is an abnormal narrowing in a blood vessel or other tubular organ or structure such as foramina and canals. It is also sometimes called a stricture (as in urethral stricture). Stricture as a term is usually used when narrowing is caused by contraction of smooth muscle (e.g. achalasia, prinzmetal angina); stenosis is usually used when narrowing is caused by lesion that reduces the space of lumen (e.g. atherosclerosis).

Related publications (29)

Numerical simulation of drug delivery in blood flows

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