RUS  ENG
Full version
JOURNALS // Matematicheskaya Biologiya i Bioinformatika // Archive

Mat. Biolog. Bioinform., 2014 Volume 9, Issue 2, Pages 341–358 (Mi mbb193)

This article is cited in 8 papers

Mathematical Modeling

Role of elasticity of blood vessels in formation of highly amplitude oscillations of a blood flow with frequency of 0.1 Hz

A. A. Grinevich, A. V. Tankanag, N. K. Chemeris

Institute of Cell Biophysics of RAS, Pushchino, Moscow region, 142290, Russian Federation

Abstract: The method of mathematical modeling was used to investigate the blood flow oscillations in human cardiovascular system. It was shown that with change of cyclic frequency of work of the pump (heart rate) in the range from 0.01 to 2 Hz the amplitudes of pressure and blood flow oscillations formed frequency-dependent dome-shaped curves with peak around 0.1 Hz. Strong dependence of size and position of peak on an axis of frequencies from factors of elasticity of vessels was revealed. The elasticity increase considerably reduces size of peak and shifts it position to the lower frequency domain. It was shown that for all considered heart rate frequencies in various segments of vascular bed the oscillations of pressure and blood flows had the constant phase shift in which formation elasticity plays a key role.

Key words: mathematical modeling, cardiovascular system, microcirculatory bed, blood flow oscillations and pressure.

UDC: 51–76; 612.178.5; 612.213

Received 30.06.2014, Published 30.09.2014

DOI: 10.17537/2014.9.341



© Steklov Math. Inst. of RAS, 2024