Manjunatha, G and Basavarajappa, K S and Katiyar, V K (2015) Mathematical Modelling on Pulsatile Flow in Carotid Artery Bifurcation in Reference to Atherosclerosis with Varying Frequencies. Global Journal of Pure and Applied Mathematics, 11 (5). pp. 3467-3475. ISSN 0973-1768

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Abstract

The mathematical model is studied to analyze the plaques of atherosclerosis in the common carotid and internal carotid arteries (CCA & ICA) of the vascular bifurcations. ‘Y’ model is employed in the analysis. The dilation of the offspring (the carotid sinus or bulb) is analyzed for plaques. For a pulsatile flow, a representative normal carotid artery bifurcation wave form is imposed at the carotid artery (CCA) inlet of the model with mean and peak flow rates 6.0 - 23.8 m/sec. Peak systolic and diastolic pressure are compared with varying cardiac cycle (< 70 and > 70 beats per min). The velocity and pressure components for ICA and CCA are obtained by using Bessel’s series techniques to solve the Navier Stokes equations

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