Abdullateef Shima, Mariscal-Harana Jorge, Khir Ashraf W
Department of Mechanical and Aerospace Engineering, Brunel University London, London, UK.
School of Biomedical Engineering and Imaging Sciences, King's College London, London, UK.
Int J Numer Method Biomed Eng. 2021 Nov;37(11):e3312. doi: 10.1002/cnm.3312. Epub 2020 Feb 21.
The angle of arterial tapering increases with ageing, and the geometrical changes of the aorta may cause an increase in central arterial pressure and stiffness. The impact of tapering has been primarily studied using frequency-domain transmission line theories. In this work, we revisit the problem of tapering and investigate its effect on blood pressure and pulse wave velocity (PWV) using a time-domain analysis with a 1D computational model. First, tapering is modelled as a stepwise reduction in diameter and compared with results from a continuously tapered segment. Next, we studied wave reflections in a combination of stepwise diameter reduction of straight vessels and bifurcations, then repeated the experiments with decreasing the length to physiological values. As the model's segments became shorter in length, wave reflections and re-reflections resulted in waves overlapping in time. We extended our work by examining the effect of increasing the tapering angle on blood pressure and wave intensity in physiological models: a model of the thoracic aorta and a model of upper thoracic and descending aorta connected to the iliac bifurcation. Vessels tapering inherently changed the ratio between the inlet and outlet cross-sectional areas, increasing the vessel resistance and reducing the compliance compared with non-tapered vessels. These variables influence peak and pulse pressure. In addition, it is well established that pulse wave velocity increases in an ageing arterial tree. This work provides confirmation that tapering induces reflections and offers an additional explanation to the observation of increased peak pressure and decreased diastolic pressure distally in the arterial tree.
动脉逐渐变细的角度随年龄增长而增加,主动脉的几何变化可能导致中心动脉压和硬度增加。逐渐变细的影响主要是使用频域传输线理论进行研究的。在这项工作中,我们重新审视逐渐变细的问题,并使用一维计算模型通过时域分析来研究其对血压和脉搏波速度(PWV)的影响。首先,将逐渐变细建模为直径的逐步减小,并与连续逐渐变细段的结果进行比较。接下来,我们研究了直管直径逐步减小和分叉组合中的波反射,然后将长度减小到生理值重复实验。随着模型段长度变短,波反射和再反射导致波在时间上重叠。我们通过检查在生理模型中增加逐渐变细角度对血压和波强度的影响来扩展我们的工作:胸主动脉模型以及连接到髂动脉分叉的胸上段和降主动脉模型。与非逐渐变细的血管相比,血管逐渐变细固有地改变了入口和出口横截面积之间的比例,增加了血管阻力并降低了顺应性。这些变量会影响峰值和脉压。此外,众所周知,在衰老的动脉树中脉搏波速度会增加。这项工作证实了逐渐变细会引起反射,并为观察到动脉树远端峰值压力增加和舒张压降低提供了额外的解释。