[远端脉搏波形成的血流动力学过程的数学模型]。

Biofizika Pub Date : 2015-03-01
A A Fedotov
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引用次数: 0

摘要

建立了上肢血管中远端动脉脉搏波信号形成的数学模型。远端动脉脉搏波的形成被表示为沿人体动脉系统传播的正反向脉搏波的组合。提出了脉冲波沿人体动脉系统传播与分布参数输电线路中电振荡传播的形式化类比系统。通过对几种特殊情况的一维Navier-Stokes方程的求解,得到了脉搏波沿人体动脉系统传播的依赖关系。
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[A mathematical model of hemodynamic processes for distal pulse wave formation].

A mathematical model of the formation of distal arterial pulse wave signal in the blood vessels of the upper limbs was considered. The formation of distal arterial pulse wave is represented as a composition of forward and reverse pulse waves propagating along the human arterial system. The system of formal analogy between pulse waves propagation along the human arterial system and the propagation of electrical oscillations in electrical transmission lines with distributed parameters was proposed. Dependencies of pulse wave propagation along the human arterial system were obtained by solving the one-dimensional Navier-Stokes equations for a few special cases.

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