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Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization

Author

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  • Ponomarenko, V.I.
  • Prokhorov, M.D.
  • Bespyatov, A.B.
  • Bodrov, M.B.
  • Gridnev, V.I.

Abstract

We demonstrate a possibility of determining the instantaneous phases and instantaneous frequencies of the main rhythmic processes governing the cardiovascular dynamics in humans from heart rate variability data with the methods using bandpass filtration, empirical mode decomposition and wavelet transform. For the cases of spontaneous respiration and paced respiration with a fixed frequency we investigate synchronization between the rhythms of the cardiovascular system analyzing univariate data in the form of the heartbeat time series. It is shown that the main heart rhythm and the rhythm of slow regulation of blood pressure with fundamental frequency close to 0.1 Hz can be synchronized with respiration.

Suggested Citation

  • Ponomarenko, V.I. & Prokhorov, M.D. & Bespyatov, A.B. & Bodrov, M.B. & Gridnev, V.I., 2005. "Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1429-1438.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:4:p:1429-1438
    DOI: 10.1016/j.chaos.2004.06.041
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    References listed on IDEAS

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    1. Lotrič, Maja Bračič & Stefanovska, Aneta, 2000. "Synchronization and modulation in the human cardiorespiratory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(3), pages 451-461.
    2. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
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    1. Manfred Georg Moertl & Helmut Karl Lackner & Ilona Papousek & Andreas Roessler & Helmut Hinghofer-Szalkay & Uwe Lang & Vassiliki Kolovetsiou-Kreiner & Dietmar Schlembach, 2013. "Phase Synchronization of Hemodynamic Variables at Rest and after Deep Breathing Measured during the Course of Pregnancy," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-10, April.
    2. Ekaterina I. Borovkova & Vladimir I. Ponomarenko & Anatoly S. Karavaev & Elizaveta S. Dubinkina & Mikhail D. Prokhorov, 2023. "Method of Extracting the Instantaneous Phases and Frequencies of Respiration from the Signal of a Photoplethysmogram," Mathematics, MDPI, vol. 11(24), pages 1-14, December.

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