### 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.

Original language | English |
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Pages (from-to) | 3467-3475 |

Number of pages | 9 |

Journal | Global Journal of Pure and Applied Mathematics |

Volume | 11 |

Issue number | 5 |

Publication status | Published - 01-01-2015 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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## Cite this

*Global Journal of Pure and Applied Mathematics*,

*11*(5), 3467-3475.