Abstract
Using a two-contour mathematical model, changes in the degree of heart rate variability induced by an increased extracardial impulsation in the sinoatrial node have been studied. The model is based on quantitative characteristics of impulse conduction in the cardiac conduction system. A mathematical and computer modeling revealed the following three regimes of heart rate variability: linear dynamics, the 1st-degree chaos, and the 2nd-degree chaos. Transitions between these regimes have been studied. A comparative analysis of the one- and two-contour models of heart rate regulation has been performed.
Similar content being viewed by others
References
D. A. Barton., T. Dawood, E.A. Lambert, et al., J. Hypertension 25, 2117 (2007).
P. S. Chen and A. Y. Tan, Heart Rhythm 4(3Suppl), S61 (2007).
P. J. Schwartz and S. G. Priory, Sympatethic nervous system and cardiac arrhythmias. Cardiac Electrophysiology. From Cell to Bedside (Philadelphia: WB Saunders Co., 1990).
K. V. Sudakov, Individual Resistance to Emotional Stress (NII NF RAMN, Moscow, 1998) [in Russian].
K. Grudzinski, J. J. Zebrovski, and R. Baranovski, Biomed. Tech. 51(4), 210 (2006).
J. Lian, D. Müssig, and V. Lang, 53(8), 1512 (2006).
A. R. Yehia, D. Jeandupeux, F. Alonso, and M. R. Guevan, Chaos 9(4), 916 (1999).
J. J. Zebrowski, K. Grudzinski, T. Buchner, et al., 17(1), 115 (2007).
L. V. Mezentseva, Ros. Fisiol. Zh. I.M. Sechenova 94(5), 512 (2008).
A. B. DeLuna, Manual on Clinical ECG (Meditsina, Moscow, 1993) [in Russian].
E. B. Babskii, L. V. Mezentseva, and L. S. Ul’yaninskii, Dokl. AN SSSR 214(4), 966 (1974).
Author information
Authors and Affiliations
Additional information
Original Russian Text © L.V. Mezentseva, 2011, published in Biofizika, 2011, Vol. 56, No. 3, pp. 543–549.
Rights and permissions
About this article
Cite this article
Mezentseva, L.V. Analysis of the nonlinear heart rate dynamics by two-contour mathematical model. BIOPHYSICS 56, 510–515 (2011). https://doi.org/10.1134/S0006350911030183
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0006350911030183