人体体动脉脉搏波和输入阻抗的计算机模拟

柳兆荣; 周永生

人体体动脉脉搏波和输入阻抗的计算机模拟

复旦大学应用力学系

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出版历程
- 收稿日期: 1987-01-08
- 刊出日期: 1988-05-15

A Computer Model of Pulse Wave and Input Impedance in Human Arteries

Department of Applied Mechanics, Fudan University, Shanghai

摘要

摘要: 本文通过对具有连续出流的分支、锥削管的一维非线性瞬态流分析,研究了人体体动脉中压力和流量脉搏波的传输和血管输入阻抗的变化规律.通过耦合支配着动脉中脉搏波传播的连续性方程和运动方程,文章导得了一组可以用特征线法求解的拟线性双曲型偏微分方程组.同时,对血管系统中常见的几种边界条件进行了适当的处理.文章利用血管几何参数和物理参数的生理实验数据,对血管系统的脉搏波传播和输入阻抗进行了计算机模拟.结果表明,从本文提出的分析模型得到的压力和流量波形以及输入阻抗与有关文献公布的实验结果吻合得相当好.

Abstract: To predict the propagation of pressure and flow pulses in arterial system and the variation of vascular input impedance, a branched and tapered tube model is studied through one-dimensional transient flow analysis. Coupling the continuity and momentum equations yields a group of quasilinear hyperbolic partial differential equations which can be solved numerically by using the method of characteristics. Several boundary conditions of the arterial system are also simplified suitably:The propagation of the pulses of the arterial system and the vascular input impedance is calculated on computer by using the dimensions and the physiological data of the arterial system. The results point out that the pressure and flow pulses of the arterial system and the vascular input impedance produced by this theoretical model is consistent quite well with the experimental results published.

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参考文献(10)

[1]	Anliker, M., et al., Prediction of shape changes of propagating flow and pressure pulses in human arteries, The Arterial System(1978), 15-34.
[2]	Lambert, J,W., On the nonlinearities of fluid flow in nonrigid tubes, J. Frank. Ins., 266, 2(1958), 83-102.
[3]	Milnor, W.R., Hemodynamics(1982).
[4]	Murgo, J.P., Aortic input impedance in normal man: relationship to pressure wave forms, Circulation, 62, 1(1980), 105-116.
[5]	Nichols, W.W., et al., Input impedance of the systematic circulation in man, Circ. Res. 40, 5(1977), 451-458.
[6]	Stettler, J. C., et al., Theoretical analysis of arterial hemodynamics including the influence of bifurcation, Annals of Biomedical Engineering, 9(1981) 145-164.
[7]	Streeter, V.L., et al., Pulsatile pressure and flow through distensible vessels, Circ. Res., 13, 3(1963),3-20.
[8]	Westerhof, N., et al., Analog studies of the human systematic arterial tree, J. Biomech., 2(1969), 121-143.
[9]	Wetterer, E. and Th. Kenner, Dynamik des Arterienpulses(1968).
[10]	Womersley, J.R., Oscillatory flow in arteries: the constrained elastic tube as a method of arterial flow and pulse transmission, Phys. Med. Biol., 2(1957b), 178-187.