Feng J, Khir A W
Brunel Institute for Bioengineering, School of Engineering and Design, Brunel University, Uxbridge, Middlesex, UK.
Proc Inst Mech Eng H. 2008 May;222(4):531-42. doi: 10.1243/09544119JEIM339.
Although the propagation of arterial waves of forward flows has been studied before, that of backward flows has not been thoroughly investigated. The aim of this research is to investigate the propagation of the compression and expansion waves of backward flows in terms of wave speed and dissipation, in flexible tubes. The aim is also to compare the propagation of these waves with those of forward flows. A piston pump generated a flow waveform in the shape of approximately half-sinusoid, in flexible tubes (12 mm and 16 mm diameter). The pump produced flow in either the forward or the backward direction by moving the piston forward, in a 'pushing action' or backward, in a 'pulling action', using a graphite brushes d.c. motor. Pressure and flow were measured at intervals of 5 cm along each tube and wave speed was determined using the PU-loop method. The simultaneous measurements of diameter were also taken at the same position of the pressure and flow in the 16 mm tube. Wave intensity analysis was used to determine the magnitude of the pressure and velocity waveforms and wave intensity in the forward and backward directions. Under the same initial experimental conditions, wave speed was higher during the pulling action (backward flow) than during the pushing action (forward flow). The amplitudes of pressure and velocity in the pulling action were significantly higher than those in the pushing action. The tube diameter was approximately 20 per cent smaller in the pulling action than in the pushing action in the 16 mm tube. The compression and expansion waves resulting from the pushing and pulling actions dissipated exponentially along the travelling distance, and their dissipation was greater in the smaller than in the larger tubes. Local wave speed in flexible tubes is flow direction- and wave nature-dependent and is greater with expansion than with compression waves. Wave dissipation has an inverse relationship with the vessel diameter, and dissipation of the expansion wave of the pulling action was greater than that of the pushing action.
尽管之前已经对正向流动的动脉波传播进行了研究,但反向流动的动脉波传播尚未得到充分研究。本研究的目的是在柔性管中,从波速和耗散的角度研究反向流动的压缩波和膨胀波的传播。目的还在于将这些波的传播与正向流动的波的传播进行比较。活塞泵在柔性管(直径12毫米和16毫米)中产生近似半正弦形状的流动波形。通过使用石墨刷直流电机,使活塞向前以“推的动作”或向后以“拉的动作”移动,泵产生正向或反向流动。沿每根管子每隔5厘米测量压力和流量,并使用PU环法确定波速。还在16毫米管中压力和流量的相同位置同时测量直径。使用波强度分析来确定正向和反向方向上压力和速度波形以及波强度的大小。在相同的初始实验条件下,拉的动作(反向流动)期间的波速高于推的动作(正向流动)期间的波速。拉的动作中压力和速度的幅度明显高于推的动作中的幅度。在16毫米管中,拉的动作中的管直径比推的动作中的管直径小约20%。推和拉的动作产生的压缩波和膨胀波沿传播距离呈指数衰减,并且在较小的管中比在较大的管中衰减更大。柔性管中的局部波速取决于流动方向和波的性质,并且膨胀波的局部波速大于压缩波的局部波速。波耗散与血管直径成反比,拉的动作的膨胀波的耗散大于推的动作的膨胀波的耗散。