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A Mathematical Model of the Eects of Antioxidants on Atherosclerotic Lesion Growth

Atherosclerosis is a form of cardiovascular disease characterized by an accumulation of 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 eective at preventing and potentially reversing the process of atherogenesis. In this paper, two mathematical models are developed to simulate the eects of antioxidants on lesion regression and the reaction-diusion process of atherosclerosis at the biological level. The first model is a system of six ordinary dierential equations, and the second is a one-dimensional spatial model composed of six partial dierential equations. The ordinary dierential equation