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Collapsible tube model for the dynamics of closure of the mitral valve

Published online by Cambridge University Press:  20 April 2006

M. Bitbol ,
Ph. Dantan ,
P. Perrot  and
C. Oddou
M. Bitbol
Affiliation:
Laboratoire de Biorhéologie et d'Hydrodynamique Physiologique, E.R.A. CNRS 662, Université Paris VII – T. 33/34, 2, Place Jussieu 75251 Paris Cedex 05
Ph. Dantan
Affiliation:
Laboratoire de Biorhéologie et d'Hydrodynamique Physiologique, E.R.A. CNRS 662, Université Paris VII – T. 33/34, 2, Place Jussieu 75251 Paris Cedex 05
P. Perrot
Affiliation:
Laboratoire de Biorhéologie et d'Hydrodynamique Physiologique, E.R.A. CNRS 662, Université Paris VII – T. 33/34, 2, Place Jussieu 75251 Paris Cedex 05
C. Oddou
Affiliation:
Laboratoire de Biorhéologie et d'Hydrodynamique Physiologique, E.R.A. CNRS 662, Université Paris VII – T. 33/34, 2, Place Jussieu 75251 Paris Cedex 05
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Abstract

The fluid mechanics of the closure motion of a short collapsible tube segment, subject to a strong flow deceleration as in one of Henderson & Johnson's (1912) experiments, is investigated experimentally and theoretically. Physical similarity to the closure process of the mitral valve is obtained. In the study particular emphasis is placed upon the evolution of the longitudinal profiles of the collapsible tube during its closure motion. It is found that the flexible tube first closes near its upstream end and that this first phase is followed by a propagation process toward the downstream end. The characteristics of this typical sequence and of the longitudinal shape of the collapsible tube are related to hydrodynamic parameters. The results predicted by the theory agree consistently with those obtained from the experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 114 , January 1982 , pp. 187 - 211
Copyright
© 1972 Cambridge University Press

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