Mathematical modelling on pulsatile flow in carotid artery bifurcation in reference to atherosclerosis with varying frequencies

G. Manjunatha, K. S. Basavarajappa, V. K. Katiyarc

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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.

Original languageEnglish
Pages (from-to)3467-3475
Number of pages9
JournalGlobal Journal of Pure and Applied Mathematics
Issue number5
Publication statusPublished - 01-01-2015


All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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