0
RESEARCH PAPERS

On the Propagation of a Wave Front in Viscoelastic Arteries

[+] Author and Article Information
R. Holenstein, P. F. Niederer

Institute of Biomedical Engineering, Swiss Federal Institute of Technology, Zurich, Switzerland

R. M. Nerem

Department of Mechanical Engineering, University of Houston, Houston, Tex. 77004

J Biomech Eng 106(2), 115-122 (May 01, 1984) (8 pages) doi:10.1115/1.3138467 History: Received April 06, 1983; Revised November 08, 1983; Online June 15, 2009

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.

Copyright © 1984 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In