Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Khorev V. S., Kiselev A. R., Shvartz V. A., Lapsheva E. E., Ponomarenko V. I., Prokhorov M. D., Gridnev V. I., Karavaev A. S. Investigation of Delay Time in Interaction between the Regulatory Circuits in the Cardiovascular System of Healthy Humans Using Modeling of Phase Dynamics. Izvestiya of Saratov University. Physics , 2016, vol. 16, iss. 4, pp. 227-237. DOI: 10.18500/1817-3020-2016-16-4-227-237

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Biophysics and medical physics
UDC: 
577.31
DOI: 
10.18500/1817-3020-2016-16-4-227-237

Investigation of Delay Time in Interaction between the Regulatory Circuits in the Cardiovascular System of Healthy Humans Using Modeling of Phase Dynamics

Autors: 
Khorev Vladimir Sergeevich, Saratov State University
Kiselev Anton Robertovich, Saratov State University
Shvartz Vladimir Aleksandrovich, A. N. Bakulev Scientific Center for Cardiovascular Surgery
Lapsheva Elena Evgen'evna, Saratov State University
Ponomarenko Vladimir Ivanovich, Saratov State University
Prokhorov Mikhail Dmitrievich, Saratov State University
Gridnev Vladimir Ivanovich, Saratov State Medical University named after V. I. Razumovsky
Karavaev Anatoly Sergeevich, Saratov State University
Abstract: 

Background and Objectives: Low-frequency oscillations with a basic frequency of about 0.1 Hz are observed in the human heart rate and peripheral microcirculation. It is found out that these processes are self-oscillatory and interact between themselves. However, the details and characteristics of this interaction including the direction of coupling and delays in coupling functions are not well studied yet. Thus, the estimation of delay times in the coupling between the low-frequency rhythms of cardiovascular system is an important task for revealing the physiological mechanisms of the cardiovascular regulation. Materials and Methods: The method of coupling detection based on constructing the models of instantaneous phase dynamics is applied for the estimation of delay time in the interaction between the cardiovascular regulatory systems from their experimental time series. The signals of electrocardiogram and photoplethysmogram were recordedusing the device EEGA-21/26 Entsefalan-131-03 (Medikom-MTD, Russia) with a set of standard sensors. The signals were recorded with a frequency of 250 Hz and a resolution of 12 bit. Results: The estimated value of delay time in the interaction between the systems of regulation of cardiovascular low-frequency oscillations is 2.13±0.14 s for the direction «heart – peripheral microcirculation» and 2.12±0.17 s for the direction «peripheral microcirculation – heart». Conclusion: The analysis of two-hour experimental time series of healthy subjects revealed that the regulatory systems of low-frequency oscillations in heart rate and peripheral microcirculation demonstrate bidirectional interaction with delay times of about several seconds.

Key words: 
phase dynamics
coupling detection
time delay
regulatory circuits
cardiovascular system
cardiovascular regulation
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