Helal M A, Watts K C, Marble A E, Sarwal S N
Department of Mechanical Engineering, Technical University of Nova Scotia, Halifax, Canada.
Med Biol Eng Comput. 1990 Sep;28(5):465-73. doi: 10.1007/BF02441970.
The paper presents a theoretical model which can be used to simulate a vascular network which includes loops and bypass grafts, a feature not possible with previous models. Using the linearised Navier-Stokes equations, the linearised equation of a uniform thick-walled viscoelastic tube, and the equation of continuity, the model is applied to a vascular network which includes a bypass graft. This method represents each segment of an artery or graft by a four-terminal-network whose A, B, C, D parameters are functions of the frequency and physical characteristics of the segment. The model predicts the flow and pressure waveforms at any point in the human arterial network very accurately when compared with data obtained from normal patients, patients with arterial stenoses and for hypertensive patients. The model also gives results which are in close agreement with hydraulic experimental data for the input impedance of systems with bypass loops.
本文提出了一个理论模型，该模型可用于模拟包含环路和旁路移植物的血管网络，这是以前的模型所无法实现的一个特性。利用线性化的纳维-斯托克斯方程、均匀厚壁粘弹性管的线性化方程以及连续性方程，将该模型应用于包含旁路移植物的血管网络。此方法用一个四端网络来表示动脉或移植物的每一段，其四端参数A、B、C、D是该段频率和物理特性的函数。与从正常患者、动脉狭窄患者和高血压患者获得的数据相比，该模型能非常准确地预测人体动脉网络中任意点的血流和压力波形。该模型给出的结果也与具有旁路环路系统输入阻抗的水力实验数据非常吻合。
