### 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 |
---|---|

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 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Global Journal of Pure and Applied Mathematics*,

*11*(5), 3467-3475.

}

*Global Journal of Pure and Applied Mathematics*, vol. 11, no. 5, pp. 3467-3475.

**Mathematical modelling on pulsatile flow in carotid artery bifurcation in reference to atherosclerosis with varying frequencies.** / Manjunatha, G.; Basavarajappa, K. S.; Katiyarc, V. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Mathematical modelling on pulsatile flow in carotid artery bifurcation in reference to atherosclerosis with varying frequencies

AU - Manjunatha, G.

AU - Basavarajappa, K. S.

AU - Katiyarc, V. K.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84946088296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84946088296&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 3467

EP - 3475

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 5

ER -