Modeling of Pressure Pulse Waves in Bypass Grafting^*

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• 作者：I. T. Selezov ; Iu. G. Kryvonos
• 关键词：bypass grafting ; coronary artery ; hydraulic losses ; physicomechanical properties of blood vessels
• 刊名：Cybernetics and Systems Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：53
• 期：1
• 页码：12-20
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Systems Theory, Control; Artificial Intelligence (incl. Robotics); Processor Architectures; Software Engineering/Programming and Operating Systems;
• 出版者：Springer US
• ISSN：1573-8337
• 卷排序：53

文摘

We investigate the dynamics of a bypass in terms of determining the optimal parameters of shunt operation. The equations that describe the propagation of pressure pulse waves in blood vessels are presented in differential form and in approximate form for the averaged values based on the conservation laws. The correspondence of these forms is shown from the solution of the initial–boundary-value problem for vascular junction. The influence of the parameters such as various diameters, wall thicknesses, and elastic properties of blood vessels on the shunt effectiveness is investigated. In particular, we investigate the influence of the shunt form and junction area, as well as the angle of the shunt connection with the vessel, on the passage of the coronary vessels and blood coagulation. On the basis of the calculations, conclusions about the influence of various parameters on the dynamics of bypass are made.