Studies on Atherosclerotic Plaque Formation: A Mathematical Approach
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Atherosclerosis is one of the main causes behind several cardiovascular diseases (CVDs). It occurs due to plaque accumulation in the innermost layer of artery, known as intima. The present study deals with a qualitative mathematical model consisting of a system of ten nonlinear ordinary differential equations (ODEs) involving ten important interacting cellular components coming into play namely, low density lipoprotein, free radicals, chemoattractants, monocytes, macrophages, T-cells, smooth muscle cells, foam cells and collagen in order to describe the evolution of atherosclerotic plaque. Numerical results obtained for this model are shown through several plots represented by phase portraits of some subsystems. As the present model is encountered with various important cellular components involving atherosclerosis, so it is believed to provide a platform for in silico treatment of this pernicious disease.
KeywordsAtherosclerosis Non-linear ODE system Routh-Hurwitz criterion
This paper was presented in ICMAAM-2018. The authors gratefully acknowledge the financial support by Special Assistance Programme (SAP-III) sponsored by the University Grants Commission (UGC), New Delhi, India [Grants no. F.510/3/DRS-III/2015(SAP-I)].
- 4.McKay, C., McKee, S., Mottram, N., Mulholland, T., Wilson, S., Kennedy, S., Wadsworth, R.: Towards a Model of Atherosclerosis, pp. 1–29. University of Strathclyde (2005)Google Scholar