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Nelin. Dinam., 2017, Volume 13, Number 3, Pages 381–397 (Mi nd572)  

This article is cited in 2 scientific papers (total in 2 papers)

Original papers

Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system

J. M. Ishbulatovab, A. S. Karavaevab, V. I. Ponomarenkob, A. R. Kiselevcd, S. A. Sergeeva, Y. P. Seleznevab, B. P. Bezruchkoab, M. D. Prokhorovb

a Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
b Saratov Branch of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences, ul. Zelenaya 38, Saratov, 410019, Russia
c A.N.Bakoulev Scientific Center for Cardiovascular Surgery, Roublyevskoe Shosse 135, Moscow, 121552, Russia
d Saratov State Medical University named after V.I.Razumovsky, ul. Bolshaya Kazachia 112, Saratov, 410012, Russia

Abstract: We propose an original mathematical model for the human cardiovascular system. The model simulates the heart rate, autonomous control of heart, arterial pressure and cardiorespiratory interaction. Taking into account the self-excited autonomic control allowed us to reproduce the experimentally observed effects of phase synchronization between the control elements. The consistency of the proposed model is validated by quantitative and qualitative reproduction of spectral and statistical characteristics of real data from healthy subjects. Within physiological values of the parameters the model demonstrates chaotic dynamics and reproduces spontaneous interchange between the intervals of spontaneous and nonspontaneous behavior.

Keywords: mathematical model, synchronization, cardiovascular system, dynamic chaos, time delay system

Funding Agency Grant Number
Russian Science Foundation 14-12-00291


DOI: https://doi.org/10.20537/nd1703006

Full text: PDF file (579 kB)
References: PDF file   HTML file

UDC: 530.182, 004.942
MSC: 93A30, 34C15, 92B25
Received: 21.02.2017
Accepted:10.08.2017

Citation: J. M. Ishbulatov, A. S. Karavaev, V. I. Ponomarenko, A. R. Kiselev, S. A. Sergeev, Y. P. Seleznev, B. P. Bezruchko, M. D. Prokhorov, “Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system”, Nelin. Dinam., 13:3 (2017), 381–397

Citation in format AMSBIB
\Bibitem{IshKarPon17}
\by J.~M.~Ishbulatov, A.~S.~Karavaev, V.~I.~Ponomarenko, A.~R.~Kiselev, S.~A.~Sergeev, Y.~P.~Seleznev, B.~P.~Bezruchko, M.~D.~Prokhorov
\paper Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 3
\pages 381--397
\mathnet{http://mi.mathnet.ru/nd572}
\crossref{https://doi.org/10.20537/nd1703006}
\elib{http://elibrary.ru/item.asp?id=29993267}


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    This publication is cited in the following articles:
    1. V. V. Skazkina, A. R. Kiselev, E. I. Borovkova, V. I. Ponomarenko, M. D. Prokhorov, A. S. Karavaev, “Otsenka sinkhronizovannosti konturov vegetativnoi regulyatsii krovoobrascheniya po dlitelnym vremennym ryadam”, Nelineinaya dinam., 14:1 (2018), 3–12  mathnet  crossref  elib
    2. P. V. Luzhnov, D. M. Shamaev, A. A. Kiseleva, E. N. Iomdina, D. D. Khoziev, O. A. Kiseleva, “Using nonlinear dynamics for signal analysis in transpalpebral rheoophthalmography”, Sovrem. Tehnol. Med., 10:3 (2018), 160–166  crossref  isi  scopus
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