DocumentCode
2472532
Title
Interpreting Poiseuille´s law for collapsible blood vessels
Author
Barton-Scott, Tracy ; Drzewiecki, Gary
Author_Institution
Dept. of Biomed. Eng., Rutgers Univ., Piscataway, NJ, USA
fYear
2002
fDate
2002
Firstpage
281
Lastpage
282
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. A bifurcation diagram shows that there are many different values of instantaneous resistance obtained. We suggest that the cause of this may be the observer´s choice of steady state. A consistent definition for steady state in blood vessels could resolve this problem
Keywords
bifurcation; blood vessels; haemodynamics; nonlinear differential equations; physiological models; artery section; bifurcation diagram; collapsible blood vessels; instantaneous resistance; near zero transmural pressure; sinusoidal frequency response; steady state choice; vessel segment; Bifurcation; Biomedical engineering; Blood vessels; Carotid arteries; Chaos; Differential equations; Frequency response; Immune system; Shape; Steady-state;
fLanguage
English
Publisher
ieee
Conference_Titel
Bioengineering Conference, 2002. Proceedings of the IEEE 28th Annual Northeast
Conference_Location
Philadelphia, PA
Print_ISBN
0-7803-7419-3
Type
conf
DOI
10.1109/NEBC.2002.999575
Filename
999575
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