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Pulsating blood flow in an initially stressed, anisotropic elastic tube: linear approximation of pressure waves.

作者信息

Tsangaris S, Drikakis D

出版信息

Med Biol Eng Comput. 1989 Jan;27(1):82-8. doi: 10.1007/BF02442174.

DOI:10.1007/BF02442174
PMID:2779302
Abstract

A mathematical model for pulsating flow of a viscous incompressible fluid in an initially stressed elastic tube with anisotropic structure is developed and an analysis of the propagation of pressure waves is presented. The theoretical model can be applied to the study of blood flow in arteries, and its solution leads to a dispersion equation relating wave number with frequency and the rheological parameters of the wall. Determination of fluid velocities and displacement components is obtained.

摘要

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本文引用的文献

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Analysis of the passive mechanical properties of rat carotid arteries.大鼠颈动脉被动力学特性分析。
J Biomech. 1983;16(9):703-15. doi: 10.1016/0021-9290(83)90080-5.
2
Periodic flow of a viscous liquid in a thick-walled elastic tube.
Bull Math Biophys. 1965 Sep;27(3):355-70. doi: 10.1007/BF02478411.
3
Wave propagation through a viscous fluid contained in a tethered, initially stresses, orthotropic elastic tube.波在一根系留的、初始存在应力的正交各向异性弹性管内所含粘性流体中的传播。
Biophys J. 1968 May;8(5):626-49. doi: 10.1016/s0006-3495(68)86512-9.
4
Nonlinear analysis of aortic flow in living dogs.活体犬主动脉血流的非线性分析。
Circ Res. 1973 Aug;33(2):198-212. doi: 10.1161/01.res.33.2.198.
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Note on wave propagation in a thin elastic tube containing a viscous fluid.
J Biomech. 1985;18(9):685-94. doi: 10.1016/0021-9290(85)90023-5.
6
Anisotropic properties of the canine carotid artery in vitro.
J Biomech. 1975 Sep;8(5):293-300. doi: 10.1016/0021-9290(75)90081-0.
7
Periodic flow of a viscous fluid superposed on steady flow in an orthotropic initially stressed elastic tube. Determination of fluid velocities and displacement components of the wall.
Biorheology. 1976 Feb;13(1):7-20. doi: 10.3233/bir-1976-13102.