THE DISPLACEMENT WAVE THEORY OF BLOOD VESSEL

On the basis of the medical and mechanical analysis and explanations in this paper the visco-elastic simply supported beam model is proposed to treat the displacement wave of the blood vessels. The relationships between the displacement wave and blood vessel elasticity as well as the viscous dissipation of the blood and blood vessel are obtained. The corresponding relations of such kinds of pulses in the traditional Chinese medicine as smooth pulse, surface pulse and deep pulse to the displacement waves of blood vessels are also found. The computational results are in good agreement with those acquired in the experiments with ultrasonic wave.

DISPLACEMENT WAVE OF THE BLOOD VESSEL——A MECHANICAL MODEL

According to clinical observations and model experiment,we have developed a theoretical mod- el and obtained its mathematical equations to investigate the displacement wave of the blood vessel.The waveform and its occurrence criterion have been obtained by using perturbation theory and numerical method. The present study suggests that the displacement wave is associated with the blood velocity waveform and the machanical behaviour of the blood vessel,but not with the pressure waveform.The clinical criterion is in agreement with the observations.

血管位移波的力学模型

本文在临床观察和模型实验的基础上提出了血管位移波的力学模型,并归结出了位移波的控制方程。应用摄动理论和数值方法,求得了位移波的波形和位移波产生的判别准则。从中我们发现,位移波仅和血流的脉动速度及血管壁力学特性有关,而和压力波无直接关系。最后本文还给出了一个适用于临床的位移波发生判别准则,实验发现它和临床观察是相符合的。

切脉的数学模拟

本文在文献[1] [2]所提出的血管位移波的基础上,进一步考虑了切脉时,血管受一指力作用时的情形。通过对指力的数学模拟得到了对应于切脉时“重取、中取、浮取”三种不同施力情况的挠动脉位移波,从而分析阐明了中医切脉时,对不同脉象所得到的感觉。