Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/nd572
  • https://www.mathnet.ru/eng/nd/v13/i3/p381
    • 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
    Statistics & downloads:
    Abstract page:377
    Full-text PDF :197
    References:52
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024