Title :
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
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;
Conference_Titel :
Bioengineering Conference, 1999. Proceedings of the IEEE 25th Annual Northeast
Conference_Location :
West Hartford, CT
Print_ISBN :
0-7803-5486-9
DOI :
10.1109/NEBC.1999.755779
