Vascular resistance at low frequencies may explain the physiological role of Mayer waves: A fractal arterial tree model study

T. Buchner, Tomasz Sobiech
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Abstract

We numerically investigate a 1-D mathematical model of blood flow related with harmonic blood pressure modes (BP) in the fractal model of a human arterial tree [1]. We calculated the model admittance: inverse of the Total Peripheral Resistance (TPR) as a function of frequency. We show that the peak of admittance (maximum flow) may appear at low frequency, below 1 Hz. Total flow in presence of such low frequency oscillations is higher than without it. Introduction of these oscillations by cardiovascular regulatory loops may provide a supplementary mechanism which can increase the total blood flow (venous return) in situations of increased demand. The result may add new value to the analysis of the Mayer waves.
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低频率的血管阻力可以解释Mayer波的生理作用:分形动脉树模型研究
我们数值研究了人类动脉树[1]分形模型中与谐波血压模式(BP)相关的血流的一维数学模型。我们计算了模型导纳:总外围电阻(TPR)的倒数作为频率的函数。我们表明,导纳的峰值(最大流量)可能出现在低频,低于1hz。存在这种低频振荡时的总流量高于没有这种振荡时的总流量。在需求增加的情况下,心血管调节回路引入这些振荡可能提供一种补充机制,可以增加总血流量(静脉回流)。该结果对梅尔波的分析具有新的价值。
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