Title :
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
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;
Conference_Titel :
Bioengineering Conference, 2000. Proceedings of the IEEE 26th Annual Northeast
Conference_Location :
Storrs, CT
Print_ISBN :
0-7803-6341-8
DOI :
10.1109/NEBC.2000.842364
