NDLI: On the Propagation of a Wave Front in Viscoelastic Arteries

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Holenstein, R. Niederer, P. F. Nerem, R. M.
Copyright Year	1984
Abstract	In formulating a mathematical model of the arterial system, the one-dimensional flow approximation yields realistic pressure and flow pulses in the proximal as well as in distal regions of a simulated arterial conduit, provided that the viscoelastic damping induced by the vessel wall is properly taken into account. Models which are based on a purely elastic formulation of the arterial wall properties are known to produce shocklike transitions in the propagating pulses which are not observed in man under physiological conditions. The viscoelastic damping characteristics are such that they are expected to reduce the tendency of shock formation in the model. In order to analyze this phenomenon, the propagation of first and second-order pressure waves is calculated with the aid of a wave front expansion, and criteria for the formation of shocks are derived. The application of the results to the human arterial system show that shock waves are not to be expected under normal conditions, while in case of a pathologically increased pressure rise at the root of the aorta, shocklike transitions may develop in the periphery. In particular, it is shown that second-order waves never lead to shock formation in finite time for the class of initial conditions and mechnaical wave guides which are of interest in the mammalian circulation.
Starting Page	115
Ending Page	122
Page Count	8
File Format	PDF
ISSN	01480731
e-ISSN	15288951
Journal	Journal of Biomechanical Engineering
Volume Number	106
Issue Number	2
DOI	10.1115/1.3138467
Language	English
Publisher	The American Society of Mechanical Engineers
Publisher Date	1984-05-01
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Aorta Approximation Damping Flow (Dynamics) Physiology Pressure Shock (Mechanics) Shock waves Vessels Waveguides Waves
Content Type	Text
Resource Type	Article
Subject	Physiology (medical) Biomedical Engineering

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