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


For citation:

Frolova N. B., Chetverikov A. P., Manturov A. О. Dynamics of the model of neural control of the heart rate. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 6, pp. 50-60. DOI: 10.18500/0869-6632-1998-6-6-50-60

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):
(downloads: 0)
Language: 
Russian
Article type: 
Article

Dynamics of the model of neural control of the heart rate

Autors: 
Abstract: 

Nonlinear dynamics of а simple mathematical model of the neural control of the heart rate variability is studied. The choice of the model from known ones is substantiated. The range of parameter values appropriated to the cardiological data is found by computer modeling. Bifurcational diagrams, power spectrum densities of processes are calculated.

Key words: 
Reference: 
  1. Babskii EB, Zubkov АА, Kositskii GI, Khodorov BI. Human Physiology. М.: Meditsina; 1966. 656 p.
  2. Nozdrachev AD, editor. Physiology of Visceral Systems. General Course of Human and Animal Physiology. Vol. 2. М.: Vysshaya shkola; 1991. 527 p. (in Russian).
  3. Glass L, Hunter P. There is а theory оf heart. Physica D. 1990;43(1):1-16. DOI: 10.1016/0167-2789(90)90012-E.
  4. Goldberger AL, Rigney DR. Dynamics of sudden death. An. Rev. Mater. Sci. 1989;19:522.
  5. Clynes М. Respiratory sinus arrhythmia: laws derived from computer simulation. J. Appl. Physiol. 1960;15:863-874. DOI: 10.1152/jappl.1960.15.5.863.
  6. Seidal H, Неrzel Н. 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. 1995. P. 205-229. DOI: 10.1007/978-3-642-79290-8_11.
  7. Rosenblum M, Kurths J. A Model оf neural control of the heart rate. Phys. А. 1995;215(4):439-450. DOI: 10.1016/0378-4371(95)00041-5.
  8. Glass L, Mackey MC. From Clocks to Chaos: The Rhythms of Life. Princeton: Princeton University Press; 1988. 248 p.
  9. Rabinovich MI, Trubetskov DI. Introduction to the Theory of Oscillations and Waves. М.: Nauka; 1992. 454 p. (in Russian).
  10. Heart rate variability: standards of measurement, physiological interpretation and clinical use. Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. Circulation. 1996;93(5):1043-1065.
Received: 
01.10.1998
Accepted: 
21.10.1998
Published: 
10.04.1999