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.
Citation:
A. A. Grinevich, A. V. Tankanag, N. K. Chemeris, “Role of elasticity of blood vessels in formation of highly amplitude oscillations of a blood flow with frequency of 0.1 Hz”, Mat. Biolog. Bioinform., 9:2 (2014), 341–358
\Bibitem{GriTanChe14}
\by A.~A.~Grinevich, A.~V.~Tankanag, N.~K.~Chemeris
\paper Role of elasticity of blood vessels in formation of highly amplitude oscillations of a blood flow with frequency of 0.1~Hz
\jour Mat. Biolog. Bioinform.
\yr 2014
\vol 9
\issue 2
\pages 341--358
\mathnet{http://mi.mathnet.ru/mbb193}
\crossref{https://doi.org/10.17537/2014.9.341}
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Kiselev A.R., Borovkova E.I., Shvartz V.A., Skazkina V.V., Karavaev A.S., Prokhorov M.D., Ispiryan A.Y., Mironov S.A., Bockeria O.L., “Low-Frequency Variability in Photoplethysmographic Waveform and Heart Rate During on-Pump Cardiac Surgery With Or Without Cardioplegia”, Sci Rep, 10:1 (2020), 2118
A. A. Grinevich, “Mathematical models in the human cardiovascular system. Approaches to the description of 0.1 Hz oscillations of heart rate variability and the magistral blood flow”, Regional blood circulation and microcirculation, 17:4 (2019), 11
A. A. Grinevich, A. V. Tankanag, N. K. Chemeris, “The role of hydrodynamic parameters in the forming of low-frequency oscillations in arterial blood pressure in human”, Matem. biologiya i bioinform., 11:2 (2016), 233–244
A R Kiselev, S A Mironov, A S Karavaev, D D Kulminskiy, V V Skazkina, E I Borovkova, V A Shvartz, V I Ponomarenko, M D Prokhorov, “A comprehensive assessment of cardiovascular autonomic control using photoplethysmograms recorded from the earlobe and fingers”, Physiol. Meas., 37:4 (2016), 580
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A. A. Grinevich, A. V. Tankanag, V. G. Safronova, N. K. Chemeris, “Role of additive stochastic modulation of the heart activity in the formation of 0.1-Hz blood flow oscillations in the human cardiovascular system”, Dokl Biol Sci, 468:1 (2016), 106
A. A. Grinevich, A. A. Ryasik, L. V. Yakushevich, “Dvizhenie otkrytykh sostoyanii DNK pod deistviem sluchainoi sily”, Kompyuternye issledovaniya i modelirovanie, 7:6 (2015), 1295–1307
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