Journal ArticleDOI
Shock Waves in Mathematical Models of the Aorta
About:
This article is published in Journal of Applied Mechanics.The article was published on 1970-03-01. It has received 97 citations till now. The article focuses on the topics: Elasticity (economics) & Mathematical model.read more
Citations
More filters
Journal ArticleDOI
On the one-dimensional theory of blood flow in the larger vessels
TL;DR: In this article, a theory of one-dimensional flow is derived to include outflow due to branching and/or vessel permeability, and an outflow term appears in the momentum balance as well as the equation of mass conservation.
Journal ArticleDOI
Nonlinear analysis of flow pulses and shock waves in arteries: Part I: Derivation and properties of mathematical model
Journal ArticleDOI
Nonlinear analysis of flow pulses and shock waves in arteries
TL;DR: In this article, aorteninsuffizienzienz der Aortenklappen is nachgebildet durch einen Ausstromungspuls with aussergewohnlich grossem Ruckstrom.
Journal ArticleDOI
Unsteady flow in a collapsible tube subjected to external pressure or body forces
Roger D. Kamm,Ascher H. Shapiro +1 more
TL;DR: In this paper, a one-dimensional, unsteady theory for flows generated either by externally applied pressures or by body forces is developed for flows in thin-walled, collapsible tubes.
Journal ArticleDOI
Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part I: mathematical models and prediction of normal pulse patterns.
TL;DR: A new mathematical model is developed for the prediction of the pressure and flow pulses propagating in the arterial system that permits a more realistic simulation of bifurcation and stenoses than was possible previously.