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
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;
Conference_Titel :
Bioengineering Conference, 2002. Proceedings of the IEEE 28th Annual Northeast
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-7419-3
DOI :
10.1109/NEBC.2002.999575
