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Matem. Mod., 2017, Volume 29, Number 5, Pages 73–84 (Mi mm3848)  

This article is cited in 1 scientific paper (total in 1 paper)

Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of Holter monitoring

A. P. Ivanova, A. N. Kudinovb, D. Yu. Lebedevb, S. A. Mikheevb, V. P. Tsvetkovb, I. V. Tsvetkovb

a Tver Regional Cardiology Centre, Tver, Russia
b Tver State University, Tver, Russia

Abstract: In this paper, based on the analysis of specific Holter monitoring data, the phenomenon of the presence of great jumps of instant heart rate (IHR) was found.
Within the framework of the multifractal dynamics model (MFD), the mathematical nature of this phenomenon was identified.
It has been shown that IHR fractal dimension $D$ before the jump should reach the value which is close to $D_b$ value calculated in the MFD model at the bifurcation point.
The IHR data and MFD parameter calculation results are shown in tabular form and compared with states of the cardiovascular system in different patients.

Keywords: catastrophe, multifractal dynamics, instantaneous heart rate, peaks instantaneous heart rate, fractal dimension.

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Document Type: Article
Received: 28.12.2015

Citation: A. P. Ivanov, A. N. Kudinov, D. Yu. Lebedev, S. A. Mikheev, V. P. Tsvetkov, I. V. Tsvetkov, “Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of Holter monitoring”, Matem. Mod., 29:5 (2017), 73–84

Citation in format AMSBIB
\Bibitem{IvaKudLeb17}
\by A.~P.~Ivanov, A.~N.~Kudinov, D.~Yu.~Lebedev, S.~A.~Mikheev, V.~P.~Tsvetkov, I.~V.~Tsvetkov
\paper Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of Holter monitoring
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 5
\pages 73--84
\mathnet{http://mi.mathnet.ru/mm3848}
\elib{http://elibrary.ru/item.asp?id=29255022}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. V. Bespalko, V. A. Gubin, S. A. Mikheev, V. P. Redchits, V. N. Ryzhikov, “O zadache vychisleniya parametrov modeli multifraktalnoi dinamiki mgnovennogo serdechnogo ritma”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 1, 55–67  mathnet  crossref  elib
  • Математическое моделирование
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