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Dynamical Response of Atherosclerotic Plaque Through Mathematical Model

The present paper concerns itself with the dynamical response of the formation of atherosclerotic plaque arising from the interactions among various cellular components in arteries. An appropriate mathematical model is framed to articulate the involvement of several key cellular components like LDLs, HDLs, radicals, oxidized LDLs, chemo-attractants, etc. in terms of a large system of nonlinear ordinary differential equations. The present dynamical model bears the potential to have global stability and hence it furnishes a comprehensible essence for in silico studies on the onset of atherosclerotic plaque. Quasi steady state approximation (QSSA) theory is inducted for reduction of the larger system to a smaller one compliant with an in-depth study regarding its stability and bifurcation analytically. Special emphasis is put on the significant role of arterial radius in the process of disposition of atherosclerotic plaque by contending with the variability of wall shear stress (WSS). The applicability of the model is validated through numerically computed results based on existing parameter values so as to ascertain the implications of the biochemical process of arteriosclerotic plaque formation.