Variable resonance and chaos in collapsible blood vessels

Author

Barton-Scott, T. ; Drzewiecki, G.

Author_Institution

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

fYear

1999

fDate

8-9 Apr 1999

Firstpage

94

Lastpage

95

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. Two phenomena were observed. The resonant frequency could be tuned by varying the mean transmural pressure. Aperiodic flow waveforms occurred (chaos) for large amplitude of the driving sinusoidal pressure. These effects were evident when the cross-sectional shape is altered during collapse

Keywords

Runge-Kutta methods; blood vessels; chaos; fluid oscillations; frequency response; haemodynamics; nonlinear differential equations; nonlinear dynamical systems; physiological models; resonance; Runge-Kutta algorithm; aperiodic flow waveforms; chaos; chaotic flow oscillations; collapsible blood vessels; cross-sectional shape; lumped fluid dynamic model; mean transmural pressure; near zero transmural pressure; nonlinear differential equations; section of artery; sinusoidal frequency response; terminated vessel segment; tunable resonance; variable resonance; Biomedical engineering; Blood vessels; Carotid arteries; Chaos; Damping; Differential equations; Frequency response; Resonance; Resonant frequency; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Bioengineering Conference, 1999. Proceedings of the IEEE 25th Annual Northeast

Conference_Location

West Hartford, CT

Print_ISBN

0-7803-5486-9

Type

conf

DOI

10.1109/NEBC.1999.755779

Filename

755779