Abstract

Atherosclerosis is a form of cardiovascular illness characterized by an accumulation of insoluble substances, cellular debris and inflammation in the innermost layer of the arterial wall. Statin drugs have been the primary method for treating atherosclerotic lesions, but recent research suggests that lifestyle changes, in particular consuming a diet rich in antioxidants, may be equally effective at preventing and potentially reversing the process of atherogenesis. In this research, we formulated mathematical models to study the effect of the antioxidants on the legion regression of an atherosclerosis at the biological, and the geometry of the irregularity caused by an oxidation shown as the first equation. The second equation is the momentum equation, which is the fluid flow equation, the third equation is the energy equation and finally, the fourth equation is the mass diffusion of cholesterol equation. The aforementioned equations were scaled and reduced to a system of an ordinary differential equation. The biological model led to analytical solutions of the velocity, concentration and temperature profiles. Mathematica codes were developed to simulate the effect of the governing parameters on the flow profiles. Through the use of these equations, applied mathematicians can supply cardiologists with means for simulating and numerically analyzing various lesion regression scenarios.

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