ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Frolova N. B., Chetverikov A. P. Influence оf external factors in а model of neural control of the heart rate. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 4, pp. 51-63. DOI: 10.18500/0869-6632-2003-11-4-51-63

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon and_2003-4-5_frolova-etal.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
51.001.57:616.12-073.97 (082)
DOI: 
10.18500/0869-6632-2003-11-4-51-63

Influence оf external factors in а model of neural control of the heart rate

Autors: 
Frolova Natalja Borisovna, Saratov State University
Chetverikov Aleksandr Petrovich, Saratov State University
Abstract: 

Nonlinear dynamics of a simple mathematical model of neural control of the heart rate variability taking into account the external influences simulating stressful loadings is investigated by methods of computer experiment. Spectral power density of processes and autocorrelation function are calculated and the time of decreasing of autocorrelation function and time of relaxation of the system are estimated to analyze the behavior of the system and to compare the results of simulation with the real data.

Key words: 
-
Reference: 
  1. Babsky EB, Zubkov AA, Kositsky GI, Khodorov BI. Human Physiology. Moscow: Meditsina; 1996. 544 p. (in Russian).
  2. Nozdrachev AD. General Course of Human and Animal Physiology. Book 2. Physiology of Visceral Systems. Moscow: Vysshaya Shkola; 1991. 528 p. (in Russian).
  3. Glass L, Hunter P. There is а theory of heart. Physica D. 1990;43(1):1-16. DOI: 10.1016/0167-2789(90)90012-E.
  4. Goldberger AL, Rigney DR. Dynamics оf sudden death. An. Rev. Mater. Si. 1989;19:522.
  5. Clynes М. Respiratory regulation of heart rate. Patterns established using a simulator. In: Electronics and Cybernetics in Biology and Medicine. Moscow: Publishing House of Foreign Literature; 1963 (in Russian).
  6. Seidal H, Herzel H. Modelling heart rate variability due to respiration and baroreflex. In: Mosekilde E, Mouritsen OG, editors. Modelling the Dynamics of Biological Systems. Springer Series in Synergetics, vol 65. Berlin, Heidelberg: Springer, 1995. P. 205-229. DOI: 10.1007/978-3-642-79290-8_11.
  7. Yabluchansky NI, Kantora BY, Martynenko AV, editor. Heart Rate Variability in Modern Clinics. Faculty of Fundamental Medicine, Kharkov National University named after V.N. Karazin; 2001. 131 p. (in Russian).
  8. Ragozin AN. Study of heart rate regulation in the dynamics of stimulating influences using spectral analysis on the plane of complex frequencies. Electronic Journal. 2002. Available from: www.ecg.ru.
  9. Mechanisms of Heart Rate Regulation. 2003. Available from: http://www.mks.ru/products/kardi/guide_hrv.
  10. Rosenblum M, Kurths J. A model оf neural control оf the heart rate. Phys. А. 1995;215(4):439-450. DOI: 10.1016/0378-4371(95)00041-5.
  11. Chetverikov AP, Frolova NV, Manturov AO. Dynamics of the model of neural regulation of heart rate. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(6) (in Russian).
  12. Glass L, Mackey M. From Clocks to Chaos. Rhythms of Life. Princeton University Press; 1988. 272 p.
  13. Rabinovich MI, Trubetskov DI. Introduction to the Theory of Oscillations and Waves. Moscow: Nauka; 1984. 560 p. (in Russian).
  14. Task force of the European society of cardiology and the North American society оf pacing and electrophysiology heart rate variability. Standarts of measurement, physiological interpretation, and clinical use. Circulation. 1996;93(5):1043-1065.
  15. Marple SL. Digital Spectral Analysis: With Applications. Prentice-Hall; 1987. 492 p.
  16. Khovanova NA, Khovanov IA. Time Series Analysis Methods: Tutorial. Saratov: «College»; 2001. 120 p. (in Russian).
  17. Igosheva NB, Pavlov AN, Anishchenko TG. Heart Rate Analysis Methods: Tutorial. Saratov: «College»; 2001 (in Russian).
Received: 
29.04.2003
Accepted: 
07.07.2003
Available online: 
29.11.2023
Published: 
31.12.2003
  • 148 reads