Sergey Sergeev
Publications:
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Ishbulatov J. M., Karavaev A. S., Ponomarenko V. I., Kiselev A. R., Sergeev S. A., Seleznev Y. P., Bezrychko B. P., Prokhorov M. D.
Phase synchronization of elements of autonomic control in mathematical model of cardiovascular system
2017, Vol. 13, No. 3, pp. 381-397
Abstract
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.
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