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Matem. Mod., 2015, Volume 27, Number 4, Pages 16–30 (Mi mm3588)  

This article is cited in 4 scientific papers (total in 4 papers)

Analysis of instantaneous cardiac rhythm in a model multi-fractal dynamics based on Holter monitoring

A. P. Ivanova, A. N. Kudinovb, D. Y. Lebedevb, V. P. Tsvetkovb, I. V. Tsvetkovb

a Tver Regional Cardiology Centre
b Tver State University

Abstract: For specific analysis of variability of RR-intervals of cardiac rhythm, the method of measurement of instantaneous cardiac rhythm (ICR) represented by a multifractal dynamical model (MDM) has been developed. The advantages of this method compared with statistical methods of analysis of RR-intervals used have been demonstrated. The method allows the possible cardiovascular system catastrophes to be predicted. According to the data from the Holter recording technique and using a developed program system, we have plotted ICR curves, ICR piecewise linear trend and variability charts for three randomly chosen time intervals. The ICR self-similarity (fractality) in agreement to better than 5% has been shown based on the explicit data. Based on the ICR data, the MDM parameters have been calculated. The analysis of dynamics of these parameters has been conducted, and their compliance with the examined patient status has been discovered. The relevance of ICR examination within the framework of the MDM is closely related to the necessity of recognition of new markers of adverse cardiovascular episodes. The research performed shows that the results obtained can be taken as a basis for development of a new mathematical method of ICR examination based on the Holter recording technique.

Keywords: instant cardiac rhythm, multi-fractal dynamics, piecewise-linear trend, fractal dimension, self-similarity.

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English version:
Mathematical Models and Computer Simulations, 2016, 8:1, 7–18

Document Type: Article
UDC: 51-76
Received: 11.04.2014

Citation: A. P. Ivanov, A. N. Kudinov, D. Y. Lebedev, V. P. Tsvetkov, I. V. Tsvetkov, “Analysis of instantaneous cardiac rhythm in a model multi-fractal dynamics based on Holter monitoring”, Matem. Mod., 27:4 (2015), 16–30; Math. Models Comput. Simul., 8:1 (2016), 7–18

Citation in format AMSBIB
\Bibitem{IvaKudLeb15}
\by A.~P.~Ivanov, A.~N.~Kudinov, D.~Y.~Lebedev, V.~P.~Tsvetkov, I.~V.~Tsvetkov
\paper Analysis of instantaneous cardiac rhythm in a model multi-fractal dynamics based on Holter monitoring
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 4
\pages 16--30
\mathnet{http://mi.mathnet.ru/mm3588}
\elib{http://elibrary.ru/item.asp?id=24850010}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 1
\pages 7--18
\crossref{https://doi.org/10.1134/S2070048216010051}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84955586117}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. P. Ivanov, A. N. Kudinov, D. Yu. Lebedev, S. A. Mikheev, V. P. Tsvetkov, I. V. Tsvetkov, “Bifurkatsionnye katastrofy mgnovennogo serdechnogo ritma v modeli multifraktalnoi dinamiki”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2016, no. 1, 63–73  mathnet  elib
    2. A. P. Ivanov, A. N. Kudinov, D. Yu. Lebedev, S. A. Mikheev, V. P. Tsvetkov, I. V. Tsvetkov, “Katastrofy mgnovennogo serdechnogo ritma v modeli multifraktalnoi dinamiki i po dannym kholterovskogo monitorirovaniya”, Matem. modelirovanie, 29:5 (2017), 73–84  mathnet  elib
    3. S. A. Mikheev, V. N. Ryzhikov, V. P. Tsvetkov, I. V. Tsvetkov, “Vychislenie parametrov mgnovennogo serdechnogo ritma v modeli multifraktalnoi dinamiki regulyarizovannym metodom Nyutona”, Matem. modelirovanie, 29:12 (2017), 147–156  mathnet  elib
    4. 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
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