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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 2, Pages 291–305
DOI: https://doi.org/10.1134/S1560354725020078 (Mi rcd1308) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Verification of Chaos in a Human Cardiovascular System Model

Pavel V. Kuptsova, Yuriy M. Ishbulatovbc, Anatoly S. Karavaevdc, Nataliya V. Stankevicha

a HSE University, ul. Bolshaya Pecherskaya 25/12, 603155 Nizhny Novgorod, Russia
b Regional Scientific and Educational Mathematical Center of the P.G. Demidov Yaroslavl State University, ul. Sovietskaya 14, 150003 Yaroslavl, Russia
c Saratov State Medical University, ul. Bolshaya Kazachya 112, 410012 Saratov, Russia
d National Reserach Saratov State University, ul. Astrakhanskay 83, 410012 Saratov, Russia
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DOI: https://doi.org/10.1134/S1560354725020078
Abstract: This study discusses an approach for estimation of the largest Lyapunov exponent for the mathematical model of the cardiovascular system. The accuracy was verified using the confidence intervals approach. The algorithm was used to investigate the effects of noises with different amplitudes and spectral compositions on the dynamics of the model. Three sets of parameters are considered, corresponding to different states of the human cardiovascular system model. It is shown that, in each case, the model exhibited chaotic dynamics. The model gave different responses to the changes in the characteristics of the noise, when using different sets of parameters. The noise had both constructive and destructive effects, depending on the parameters of the model and the noise, by, respectively, amplifying or inhibiting the chaotic dynamics of the model.
Keywords: chaos, the largest Lyapunov exponent, cardiovascular system modeling, confidence interval, accuracy verification, noise
Funding agency Grant number
Russian Science Foundation 21- 71-30011
Ministry of Science and Higher Education of the Russian Federation
The article was prepared within the framework of the project “Mirror Laboratories” HSE University. Parts of the study related to the simulation of the cardiovascular system and analysis of the model data (Section 2) was supported by the Russian Science Foundation (project No. 21-71-30011), https://rscf.ru/en/project/21-71-30011/.
Received: 05.12.2024
Accepted: 17.02.2025
Document Type: Article
MSC: 37L30, 65P20
Language: English
Citation: Pavel V. Kuptsov, Yuriy M. Ishbulatov, Anatoly S. Karavaev, Nataliya V. Stankevich, “Verification of Chaos in a Human Cardiovascular System Model”, Regul. Chaotic Dyn., 30:2 (2025), 291–305
Citation in format AMSBIB
\Bibitem{KupIshKar25}
\by Pavel V. Kuptsov, Yuriy M. Ishbulatov, Anatoly S. Karavaev, Nataliya V. Stankevich
\paper Verification of Chaos in a Human Cardiovascular System Model
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 2
\pages 291--305
\mathnet{http://mi.mathnet.ru/rcd1308}
\crossref{https://doi.org/10.1134/S1560354725020078}
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