Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskoe modelirovanie, 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
Full-text PDF (364 kB) Citations (1)
References:
PDF
HTML
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.
Received: 28.12.2015
Bibliographic databases:
Document Type: Article
Language: Russian
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{https://elibrary.ru/item.asp?id=29255022}
Linking options:
  • https://www.mathnet.ru/eng/mm3848
  • https://www.mathnet.ru/eng/mm/v29/i5/p73
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
    Statistics & downloads:
    Abstract page:352
    Full-text PDF :98
    References:50
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024