中国物理B ›› 1997, Vol. 6 ›› Issue (11): 801-810.doi: 10.1088/1004-423X/6/11/001

• •    下一篇

NONLINEAR WAVES PROPAGATING IN AN INHOMOGENEOUS BLOOD VESSEL

王本仁1, 魏荣爵1, 段文山2   

  1. (1)Institute of Acoustics and State Key Laboratory of Modern Acoustic, Nanjing University, Nanjing 210093, China; (2)Institute of Acoustics and State Key Laboratory of Modern Acoustic, Nanjing University, Nanjing 210093, China, Department of Physics, Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:1996-12-26 出版日期:1997-11-20 发布日期:1997-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and by the Natural Science Foundation of Jiangsu Province of China.

NONLINEAR WAVES PROPAGATING IN AN INHOMOGENEOUS BLOOD VESSEL

DUAN WEN-SHAN (段文山)ab, WANG BEN-REN (王本仁)a, WEI RONG-JUE (魏荣爵)a   

  1. a Institute of Acoustics and State Key Laboratory of Modern Acoustic, Nanjing University, Nanjing 210093, China; b Department of Physics, Northwest Normal University, Lanzhou 730070, China
  • Received:1996-12-26 Online:1997-11-20 Published:1997-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and by the Natural Science Foundation of Jiangsu Province of China.

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摘要： A model for describing blood pressure propagation wave in artery is proposed. Considering blood viscosity, slowly varying arterial parameters and arterial bifurcations, we obtain the dynamical equation of blood flow. We show that the blood viscosity attenuate the nonlinear blood wave amplitude mainly in small artery. On the other hand, the variation of arterial parameters (such as radius and Young's modulus) amplify the amplitude of the nonlinear blood wave in large arteries. We also investigate how the nonlinear blood wave (or a soliton) is reflected and transmitted at the arterial bifurcations. It can be concluded that the parameters at the bifurcation determine whether there is substantial reflection or not, but the transmission in each bifurcation is approximately the same as the incident wave.

Abstract: A model for describing blood pressure propagation wave in artery is proposed. Considering blood viscosity, slowly varying arterial parameters and arterial bifurcations, we obtain the dynamical equation of blood flow. We show that the blood viscosity attenuate the nonlinear blood wave amplitude mainly in small artery. On the other hand, the variation of arterial parameters (such as radius and Young's modulus) amplify the amplitude of the nonlinear blood wave in large arteries. We also investigate how the nonlinear blood wave (or a soliton) is reflected and transmitted at the arterial bifurcations. It can be concluded that the parameters at the bifurcation determine whether there is substantial reflection or not, but the transmission in each bifurcation is approximately the same as the incident wave.

中图分类号:  (Hemodynamics ?)

  • 87.19.U-
87.19.rh (Fluid transport and rheology) 87.19.R- (Mechanical and electrical properties of tissues and organs) 05.45.Yv (Solitons) 02.30.Oz (Bifurcation theory)