Geodesic
Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 381-397

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We propose an original mathematical model for the human cardiovascular system. The model simulates the heart rate, autonomous control of heart, arterial pressure and cardiorespiratory interaction. Taking into account the self-excited autonomic control allowed us to reproduce the experimentally observed effects of phase synchronization between the control elements. The consistency of the proposed model is validated by quantitative and qualitative reproduction of spectral and statistical characteristics of real data from healthy subjects. Within physiological values of the parameters the model demonstrates chaotic dynamics and reproduces spontaneous interchange between the intervals of spontaneous and nonspontaneous behavior.
Keywords: mathematical model, synchronization, cardiovascular system, dynamic chaos, time delay system. 
@article{ND_2017_13_3_a5,
     author = {J. M. Ishbulatov and A. S. Karavaev and V. I. Ponomarenko and A. R. Kiselev and S. A. Sergeev and Y. P. Seleznev and B. P. Bezruchko and M. D. Prokhorov},
     title = {Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system},
     journal = {Russian journal of nonlinear dynamics},
     pages = {381--397},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_3_a5/}
}
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%A A. S. Karavaev
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%A A. R. Kiselev
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%A Y. P. Seleznev
%A B. P. Bezruchko
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J. M. Ishbulatov; A. S. Karavaev; V. I. Ponomarenko; A. R. Kiselev; S. A. Sergeev; Y. P. Seleznev; B. P. Bezruchko; M. D. Prokhorov. Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 381-397. http://geodesic.mathdoc.fr/item/ND_2017_13_3_a5/