Damping mechanisms and shock-like transitions in the human arterial tree

DOI10.1007/BF00945457zbMath0573.92009MaRDI QIDQ1062932

Peter F. Niederer

Publication date: 1985

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

one-dimensional tubeshock wavesviscoelasticityviscosityNewtonian fluidPoisseuille flowpropagation of wavesdamping mechanismshuman arterial treelarge arteriessmall arteriesviscoelastic walls

Mathematics Subject Classification ID

Biomechanical solid mechanics (74L15) Physiological flows (76Z05) Physiological, cellular and medical topics (92Cxx)

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Cites Work

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• A mathematical theory of shock-wave formation in arterial blood flow
• The pulsating viscous flow superposed on the steady laminar motion of incompressible fluid in a circular pipe
• The Fluid Mechanics of Large Blood Vessels
• On the evolution of shock-waves in mathematical models of the aorta
• A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics
• A nonlinear analysis of pulsatile flow in arteries