Mathematical Model of Magnetic Influence on Oxygen and Nutrient Delivery in Arteries with Stenosis and Thrombosis

Abstract

The current study creates a mathematical model to examine oscillatory arterial blood flow in the presence of minor stenosis using a magnetic field. To better understand the irregular flow behavior of blood in a locally constricted artery, analytical findings were obtained to investigate the role of magnetic effect on oscillatory blood flow, which was modeled as a Newtonian fluid. The arterial wall surface roughness is supposed to have a cosine-shaped profile, with a tiny maximum amplitude as compared to the radius of the unblocked artery.

The fundamental goal of this study is to construct an acceptable mathematical model to examine the effect of a magnetic field on oscillatory arterial blood flow in the presence of stenosis. A mathematical model has been developed to study the magnetic effect on oxygen and nutrition delivery in arteries with modest stenosis and thrombosis. The solutions provide insights into flow characteristics and hemodynamic factors, such as wall shear stress and velocity profiles.