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Contribution of Cardiorespiratory Coupling to the Irregular Dynamics of the Human Cardiovascular System

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  • Yurii M. Ishbulatov

    (Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya St., 410012 Saratov, Russia
    Regional Scientific and Educational Mathematical Center, P.G. Demidov, Yaroslavl State University, Sovietskaya 14, 150003 Yaroslavl, Russia
    Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia
    Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

  • Tatiana S. Bibicheva

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

  • Vladimir I. Gridnev

    (Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya St., 410012 Saratov, Russia)

  • Mikhail D. Prokhorov

    (Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia
    Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

  • Marina V. Ogneva

    (Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

  • Anton R. Kiselev

    (National Medical Research Center for Therapy and Preventive Medicine, 10 Petroverigsky per., 3, 101990 Moscow, Russia)

  • Anatoly S. Karavaev

    (Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya St., 410012 Saratov, Russia
    Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 38 Zelyonaya St., 410019 Saratov, Russia
    Institute of Physics, Saratov State University, 83 Astrakhanskaya St., 410012 Saratov, Russia)

Abstract

Irregularity is an important aspect of the cardiovascular system dynamics. Numerical indices of irregularity, such as the largest Lyapunov exponent and the correlation dimension estimated from interbeat interval time series, are early markers of cardiovascular diseases. However, there is no consensus on the origin of irregularity in the cardiovascular system. A common hypothesis suggests the importance of nonlinear bidirectional coupling between the cardiovascular system and the respiratory system for irregularity. Experimental investigations of this theory are severely limited by the capabilities of modern medical equipment and the nonstationarity of real biological systems. Therefore, we studied this problem using a mathematical model of the coupled cardiovascular system and respiratory system. We estimated and compared the numerical indices of complexity for a model simulating the cardiovascular dynamics in healthy subjects and a model with blocked regulation of the respiratory frequency and amplitude, which disturbs the coupling between the studied systems.

Suggested Citation

  • Yurii M. Ishbulatov & Tatiana S. Bibicheva & Vladimir I. Gridnev & Mikhail D. Prokhorov & Marina V. Ogneva & Anton R. Kiselev & Anatoly S. Karavaev, 2022. "Contribution of Cardiorespiratory Coupling to the Irregular Dynamics of the Human Cardiovascular System," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1088-:d:781358
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    References listed on IDEAS

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    1. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
    2. Plamen Ch. Ivanov & Luís A. Nunes Amaral & Ary L. Goldberger & Shlomo Havlin & Michael G. Rosenblum & Zbigniew R. Struzik & H. Eugene Stanley, 1999. "Multifractality in human heartbeat dynamics," Nature, Nature, vol. 399(6735), pages 461-465, June.
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    Cited by:

    1. Kai Yu & Nannan Qu & Jifeng Lu & Lujie Zhou, 2022. "Determining Subway Emergency Evacuation Efficiency Using Hybrid System Dynamics and Multiple Agents," Mathematics, MDPI, vol. 10(19), pages 1-18, October.

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