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A simple model for the two dimensional blood flow in the collapse of veins

By KW Chow and CC Mak

Abstract

Veins in the cardiovascular system may collapse if the internal pressure is less than the external pressure. Such collapse or buckling will have important consequence in terms of the rate of blood flow. Here a steady, parallel unidirectional flow as an exact solution of the continuity and the Navier Stokes equations is constructed. Various stages of the deformation process of the elastic tube (before contact of opposite sides occurring), from an ellipse to a 'strongly buckled' configuration, are obtained in analytical forms as a by-product of the calculations. The pressure - area and the pressure - flow rate diagrams computed numerically from the model agree with the trends measured experimentally. © Springer-Verlag 2006.link_to_subscribed_fulltex

Topics: Blood Flow Velocity - physiology, Humans, Models, Cardiovascular, Vascular Diseases - physiopathology, Veins - physiopathology
Publisher: 'Springer Science and Business Media LLC'
Year: 2006
DOI identifier: 10.1007/s00285-005-0351-5
OAI identifier: oai:hub.hku.hk:10722/76047
Provided by: HKU Scholars Hub
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