Title :
Vascular resistance at low frequencies may explain the physiological role of Mayer waves: A fractal arterial tree model study
Author :
Buchner, Teodor ; Sobiech, Tomasz
Author_Institution :
Fac. of Phys., Warsaw Univ. of Technol., Warsaw, Poland
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.
Keywords :
blood; blood vessels; cardiovascular system; flow simulation; fluid oscillations; fractals; 1D mathematical model; Mayer waves; cardiovascular regulatory loops; fractal arterial tree model; frequency oscillations; harmonic blood pressure modes; human arterial tree; low-frequency vascular resistance; model admittance; physiological role; total blood flow; total peripheral resistance; venous return; Admittance; Blood; Blood pressure; Fractals; Mathematical model; Oscillators; Vegetation; Mayer waves; blood pressure oscillations; fractal geometry; mathematical model; numerical simulation;
Conference_Titel :
Cardiovascular Oscillations (ESGCO), 2014 8th Conference of the European Study Group on
Conference_Location :
Trento
DOI :
10.1109/ESGCO.2014.6847575
