Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow

الملخص EN

We deal with a mathematical model of atherosclerosis plaque formation, which describes the early formation of atherosclerotic lesions.

The model assumes that the inflammatory process starts with the penetration of low-density lipoproteins cholesterol in the intima, and that penetration will occur in the area of lower shear stress.

Using a system of reaction-diffusion equations, we first provide a one-dimensional model of lesion growth.

Then we perform numerical simulations on an idealized two-dimensional geometry of the carotid artery bifurcation before and after the formation of the atherosclerotic plaque.

For that purpose, we consider the blood as an incompressible non-Newtonian fluid with shear-thinning viscosity.

We also present a study of the wall shear stress and blood velocity behavior in a geometry with one plaque and also with two plaques in different positions.