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

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)3467-3475
Number of pages9
JournalGlobal Journal of Pure and Applied Mathematics
Volume11
Issue number5
Publication statusPublished - 01-01-2015

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Pulsatile Flow
Atherosclerosis
Pulsatile flow
Independent component analysis
Arteries
Mathematical Modeling
Bifurcation
Bifurcation (mathematics)
Navier Stokes equations
Flow rate
Beat
Mathematical models
Dilation
Cardiac
Waveform
Flow Rate
Navier-Stokes Equations
Mathematical Model
Internal
Cycle

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Global Journal of Pure and Applied Mathematics, Vol. 11, No. 5, 01.01.2015, p. 3467-3475.

Research output: Contribution to journalArticle

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