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

Yurii M. Ishbulatov, Tatiana S. Bibicheva, Vladimir I. Gridnev, Mikhail D. Prokhorov, Marina V. Ogneva, Anton R. Kiselev and Anatoly S. Karavaev
Additional contact information
Yurii M. Ishbulatov: Institute of Cardiological Research, Saratov State Medical University, 112 Bolshaya Kazachya 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
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

Mathematics, 2022, vol. 10, issue 7, 1-18

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.

Keywords: cardiovascular system; complexity; nonlinear dynamics; mathematical modeling (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/7/1088/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/7/1088/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:7:p:1088-:d:781358

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().