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2013
Impact Factor

    Anton Kiselev

    ul. Bolshaya Kazachia 112, Saratov, 410012, Russia
    Saratov State Medical University named after V.I.Razumovsky

    Publications:

    Skazkina V., Kiselev A. R., Borovkova  E. I., Ponomarenko V. I., Prokhorov M. D., Karavaev A. S.
    Abstract
    The previously proposed method for quantifying the degree of synchronization between circulatory regulation loops is used to analyze the time realizations of healthy subjects. Statistical properties of the index are studied in the analysis of two-hour records of experimental signals. In the course of this work, we investigated the properties of the estimation of the degree of synchronization using temporal realizations with different length, and we investigated the features of synchronization between the control loops under study at a time equal to hundreds of characteristic periods.
    Keywords: phase synchronization, autonomic regulation, self-oscillatory circuit, cardiovascular system, data analysis
    Citation: Skazkina V., Kiselev A. R., Borovkova  E. I., Ponomarenko V. I., Prokhorov M. D., Karavaev A. S.,  Estimation of synchronization of contours of vegetative regulation of circulation from long time records, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 1, pp.  3-12
    DOI:10.20537/nd1801001
    Ishbulatov J. M., Karavaev A. S., Ponomarenko V. I., Kiselev A. R., Sergeev S. A., Seleznev Y. P., Bezrychko B. P., Prokhorov M. D.
    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.
    Keywords: mathematical model, synchronization, cardiovascular system, dynamic chaos, time delay system
    Citation: 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, Rus. J. Nonlin. Dyn., 2017, Vol. 13, No. 3, pp.  381-397
    DOI:10.20537/nd1703006

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