动脉壁径向振动与血流脉动参数的关系,用于提取动脉指标

Z. Hao
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引用次数: 1

摘要

鉴于动脉壁径向振动在临床上的广泛应用,本文对动脉壁径向振动与血流脉动参数的关系进行了理论研究。将脉搏波在动脉内的传播表述为血流与动脉壁的控制方程和血壁交界面无滑移条件的组合,并对其进行了分析,得到了脉搏波在动脉内的传播速度以及脉搏压力对血流速率和径向壁位移的理论表达式。利用脉冲信号的谐波,导出了无波反射和有波反射两种情况下动脉壁径向振动与血流中脉动参数的理论关系。这些理论关系确定了简化关系的假设,应用于动脉壁径向振动的临床价值。将动脉壁视为一个单位质量振动系统,利用这些简化关系从动脉壁径向振动中提取动脉指标。讨论了该关系在临床价值中的其他应用,并从能量和一维波动方程的角度进一步揭示了动脉壁与血流的相互作用。在考虑了谐波和波反射的情况下,推导出的径向壁振动、血流脉动参数及其相互关系的理论表达式,为提高对临床价值的解释提供了理论指导,具有明确的生理意义和假设。
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Relations of Radial Vibration of the Arterial Wall to Pulsatile Parameters in Blood Flow for Extraction of Arterial Indices
Given the wide utility of radial vibration of the arterial wall for clinical values, this paper presents a theoretical study on the relations of radial vibration of the arterial wall to pulsatile parameters in blood flow. Pulse wave propagation in an artery is formulated as a combination of the governing equations of blood flow and the arterial wall and no-slip conditions at the blood-wall interface, and is analyzed to obtain the wave velocity and the theoretical expressions for blood flow rate and radial wall displacement in terms of pulsatile pressure. With the harmonics of a pulse signal, theoretical relations of radial vibration of the arterial wall to pulsatile parameters in blood flow are derived under two conditions: without and with wave reflection. These theoretical relations identify the assumptions for the simplified relations employed in the utility of radial vibration of the arterial wall for clinical values. With the arterial wall treated as a unit-mass vibration system, these simplified relations are utilized for extraction of arterial indices from radial vibration of the arterial wall. Other applications of such relations for clinical values are discussed, and the interaction between the arterial wall and blood flow is further revealed from the perspective of energy and 1D wave equations. With harmonics and wave reflection considered, the derived theoretical expressions for radial wall vibration, pulsatile parameters in blood flow, and the relations between them provide a theoretical guidance for improving their interpretation for clinical values with clearly-defined physiological implications and assumptions.
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