Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 3, Pages 381–397
DOI: https://doi.org/10.20537/nd1703006 (Mi nd572) 		 
This article is cited in 9 scientific papers (total in 9 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
Full-text PDF (579 kB) Citations (9)
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DOI: https://doi.org/10.20537/nd1703006
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
Received: 21.02.2017
Accepted: 10.08.2017
Bibliographic databases:
Document Type: Article
UDC: 530.182, 004.942
MSC: 93A30, 34C15, 92B25
Language: Russian
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{https://elibrary.ru/item.asp?id=29993267}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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