Wang Y Y, Lia W C, Hsiu H, Jan M Y, Wang W K
Department of Physics, National Taiwan Normal University, Taipei, R.O.C.
IEEE Trans Biomed Eng. 2000 Mar;47(3):313-8. doi: 10.1109/10.827291.
The pressure wave moving along an elastic artery filled with blood was examined as a moving Windkessel having a natural oscillation angular frequency nu 0 and a damping coefficient b. The radial directional motion for an element of the wall segment and the adherent fluid was considered. This equation was solved with conditions at both ends of an artery of length L. An external impulse force was applied at one end and a static pressure Po at the other. Analytic solution allowed only certain oscillation modes of resonance frequencies fn, where fn2 = a + cnL-2 with [formula: see text] and V infinity is the high frequency phase velocity. The relationship between f0 and L was examined experimentally for tubes constructed of latex, rubber, or dissected aorta. The effect of raising the static pressure P0 or increasing the tension in the tube was consistent with the prediction. The hypertension that accompanies an augmentation in arterial wall and the association between the heart rate and the mean blood pressure were discussed.
将沿着充满血液的弹性动脉移动的压力波作为具有自然振荡角频率ν0和阻尼系数b的移动风箱进行了研究。考虑了壁段和附着流体的一个元素的径向方向运动。在长度为L的动脉两端的条件下求解此方程。在一端施加外部冲击力，在另一端施加静压力Po。解析解仅允许某些共振频率fn的振荡模式，其中fn2 = a + cnL-2，[公式：见文本]，V∞是高频相速度。针对由乳胶、橡胶或解剖主动脉制成的管子，通过实验研究了f0与L之间的关系。提高静压力P0或增加管内张力的效果与预测一致。讨论了伴随动脉壁增厚的高血压以及心率与平均血压之间的关联。
