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本文提出了一个新的非线性脉搏波在动脉内传播的理论模型,推导了一个新的血管壁-外周组织系统的非线性运动方程组,在其中仅含血管壁和流体的应力以及血管的非线性几何。这组运动方程与代表血液流动的不可压缩粘性运动方程和连续方程以及流体和血管壁本构方程相结合,可用数值方法来求解非线性脉搏波在动脉内的传播。其数值解可包含压力脉搏波、血流速度波和血流量波以及血管壁的位移波、速度波和应力波等等。这些脉搏波都是生理学和临床医学上很有意义的物理特征。
In this paper, a new theoretical model of non-linear pulse wave propagation in arteries is proposed. A new nonlinear motion equation of the vascular wall-peripheral tissue system is deduced, in which only the stress of vessel wall and fluid and the non- Linear geometry. This set of equations of motion, combined with the incompressible viscous equations of motion and continuous equations that represent blood flow, and the constitutive equations of fluid and blood vessel walls, can be used to solve nonlinear arterial wave propagation in non-linear pulse waves. The numerical solution can include pressure pulse wave, blood flow velocity wave and blood flow wave and the vascular wall displacement wave, velocity wave and stress wave and so on. These pulse waves are physiologically and clinically significant physical features.