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血液粘弹性对动脉中脉搏波传播的影响
引用本文:姚大康,严育兵,柳兆荣. 血液粘弹性对动脉中脉搏波传播的影响[J]. 应用数学和力学, 2000, 21(9): 954-960
作者姓名:姚大康  严育兵  柳兆荣
作者单位:复旦大学生物力学实验室, 上海200433
摘    要:以Womersley理论为基础,将动脉中脉搏波复波速所满足的频率方程推广到粘弹血液情形,得到了线性粘弹血管和线性粘弹血液情况下脉搏波复波速的一般关系式。应用此关系式,讨论了血液粘弹性对动脉中脉搏波波速和波的衰减的影响。结果表明,血液弹性对脉搏波传播的影响小于血管粘性的影响;对大动脉,血液弹性对脉搏波传播的影响可忽略。

关 键 词:动脉   脉搏波   血液   粘弹性
收稿时间:1999-03-12

The Effects of Blood Viscoelasticity on the Pulse Wave in Arteries
YAO Da-kang,YAN Yu-bing,LIU Zhao-rong. The Effects of Blood Viscoelasticity on the Pulse Wave in Arteries[J]. Applied Mathematics and Mechanics, 2000, 21(9): 954-960
Authors:YAO Da-kang  YAN Yu-bing  LIU Zhao-rong
Affiliation:Biomechanics Laboratory, Fudan University, Shanghai 200433, P R China
Abstract:Based on Womersley's theory, the frequency equation satisfied by a complex wave velocity of a pulse wave in arteries was generalized to viscoelastic blood, a general formula of the complex wave velocity with regard to both linearly viscoelastic arteries and linearly viscolelastic blood was obtained, and the effects of the viscoelastic property of blood on the phase velocity and the wave attenuation of the pulse wave using the formula systematically was discussed. It is concluded that the influence of the blood elasticity on the wave propagation of a pulse wave in arteries is weaker than that of the arterial viscosity and may be neglected in larger arteries.
Keywords:artery  pulse wave  blood  viscoelasticity  
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