Modeling the Treatment Effect on Atherosclerotic Blood Flow with Metabolic Heat, Radiation, Chemical and Magnetic Field

In this article, we proposed some mathematical models to investigate the treatment effect of low density lipoprotein-Concentration and atherosclerotic blood flow in a porous micro-channel with metabolic heat and magnetic field. The heat contribution was through the hydrolysis of adenosine which aid blood circulation, and the lipid concentration was as a result of the excessive intake of Tran’s fat and other saturated fats. Blood is assumed to be a mixture of formed elements and lipid, which exhibits Newtonian and incompressible characteristics, flow through a permeable solid matrix. The geometric of an atherosclerosis was formulated by incorporating the growth rate of cholesterol and treatment through the drug intake to prevent the liver from producing excessive cholesterol in the bloodstream. Following the aforementioned considerations, the proposed coupled partial differential equations were scaled using the dimensionless parameters and the resulting dimensionless equations are reduced to a system of ODE using perturbation methods involving the periodic terms due to the systolic behavior of the heart.