Title :
Examining bifurcations in resistance of collapsible blood vessels
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; bifurcations; collapsible blood vessel resistance; instantaneous resistance; near zero transmural pressure; nonlinear differential equations; sinusoidal frequency response; steady state; vessel segment; Bifurcation; Biomedical engineering; Blood vessels; Carotid arteries; Chaos; Differential equations; Frequency response; Immune system; Shape; Steady-state;
Conference_Titel :
Engineering in Medicine and Biology, 2002. 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society EMBS/BMES Conference, 2002. Proceedings of the Second Joint
Print_ISBN :
0-7803-7612-9
DOI :
10.1109/IEMBS.2002.1106409
