Effect of viscoelasticity on chaos in collapsible blood vessels

Author

Barton-Scott, Tracy ; Drzewiecki, Gary

Author_Institution

Dept. of Biomed. Eng., Rutgers Univ., Piscataway, NJ, USA

fYear

2000

fDate

2000

Firstpage

31

Lastpage

32

Abstract

A vessel segment was terminated with a section of artery subjected to near zero transmural pressure. The sinusoidal frequency response was determined by solving the resulting nonlinear differential equations. Multiple resonance and aperiodic (chaos) flow waveforms occurred for large amplitudes of the driving sinusoidal pressure. The viscoelastic properties of the blood vessel were increased in an attempt to damp out the nonlinear effects. The damping factor was raised fifteen-fold above control levels before there is a loss of all nonlinear activity

Keywords

Poiseuille flow; bifurcation; blood vessels; chaos; damping; frequency response; haemodynamics; nonlinear differential equations; physiological models; viscoelasticity; Poiseuille flow; Runge-Kutta algorithm; aperiodic flow waveforms; artery section; bifurcation diagram; chaos; collapsible blood vessels; damping factor; flow resistance; lumped fluid dynamic model; multiple resonance waveforms; near zero transmural pressure; nonlinear differential equations; sinusoidal frequency response; terminated vessel segment; viscoelasticity effect; Area measurement; Biomedical engineering; Blood vessels; Carotid arteries; Chaos; Damping; Differential equations; Frequency response; Resonance; Veins;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioengineering Conference, 2000. Proceedings of the IEEE 26th Annual Northeast

Conference_Location

Storrs, CT

Print_ISBN

0-7803-6341-8

Type

conf

DOI

10.1109/NEBC.2000.842364

Filename

842364