ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Bezruchko B. P., Gridnev V. I., Karavaev A. S., Kiselev A. R., Ponomarenko V. I., Prokhorov M. D., Borovkova E. I. Technique of investigation of synchronization between oscillatory processes with the frequency of 0.1 Hz in the human cardiovascular system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 44-56. DOI: 10.18500/0869-6632-2009-17-6-44-56

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Russian
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Article
UDC: 
537.86

Technique of investigation of synchronization between oscillatory processes with the frequency of 0.1 Hz in the human cardiovascular system

Autors: 
Bezruchko Boris Petrovich, Saratov State University
Gridnev Vladimir Ivanovich, Saratov research Institute of Cardiology
Karavaev Anatolij Sergeevich, Saratov State University
Kiselev Anton Robertovich, Saratov research Institute of Cardiology
Ponomarenko Vladimir Ivanovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Prokhorov Mihail Dmitrievich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Borovkova Ekaterina Igorevna, Saratov State University
Abstract: 

Synchronization between the processes of vegetative regulation of the heart rate and blood pressure in the vessels of microcirculatory channel having in humans a fundamental frequency of about 0.1 Hz is studied. A method for quantitative estimation of the degree of synchronization between these processes is proposed. The method is based on the calculation of a summary percent of phase synchronization of oscillations. A statistical significance of the calculated coefficient of synchronization is analyzed.

Reference: 
  1. Malpas SC. Neural influences on cardiovascular variability: possibilities and pitfalls. Am J Physiol Heart Circ Physiol. 2002;282(1):6--20. DOI: 10.1152/ajpheart.2002.282.1.H6.
  2. Cohen MA, Taylor JA. Short-term cardiovascular oscillations in man: measuring and modelling the physiologies. J Physiol. 2002;542(3):669--683. DOI: 10.1113/jphysiol.2002.017483.
  3. Schäfer C, Rosenblum MG, Kurths J, Abel HH. Heartbeat synchronized with ventilation. Nature. 1998;392(6673):239--240. DOI: 10.1038/32567.
  4. Schäfer C, Rosenblum MG, Abel HH, Kurths J. Synchronization in the human cardiorespiratory system. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999;60(1):857--870. DOI: 10.1103/physreve.60.857.
  5. Bracic-Lotric M, Stefanovska A. Synchronization and modulation in the human cardiorespiratory system. Physica A. 2000;283(3-4):451--461. DOI: 10.1016/S0378-4371(00)00204-1.
  6. Janson NB, Balanov AG, Anishchenko VS, McClintock PV. Phase synchronization between several interacting processes from univariate data. Phys Rev Lett. 2001;86(9):1749--1752. DOI: 10.1103/PhysRevLett.86.1749.
  7. Rzeczinski S, Janson NB, Balanov AG, McClintock PVE. Regions of cardio-respiratory synchronization in humans under paced respiration. Phys. Rev. E. 2002;66:051909. DOI: 10.1103/PhysRevE.66.051909.
  8. Bartsch R, Kantelhardt JW, Penzel T, Havlin S. Experimental evidence for phase synchronization transitions in the human cardiorespiratory system. Phys Rev Lett. 2007;98(5):054102. DOI: 10.1103/PhysRevLett.98.054102.
  9. Janson NB, Balanov AG, Anishchenko VS, McClintock PV. Phase relationships between two or more interacting processes from one-dimensional time series. I. Basic theory. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;65(3):036211. DOI: 10.1103/PhysRevE.65.036211.
  10. Prokhorov MD, Ponomarenko VI, Gridnev VI, Bodrov MB, Bespyatov AB. Synchronization between main rhythmic processes in the human cardiovascular system. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(4):041913. DOI: 10.1103/PhysRevE.68.041913.
  11. Prokhorov MD, Ponomarenko VI, Bodrov MB. et al. Rhythm synchronization in human cardiovascular system from the time sequence of R-R intervals. Biophysics. 2005;50(5):795–799.
  12. Baevsky RM, Ivanov GG, Chireykin LV. et al. Analysis of heart rate variability using different electrocardiographic systems (methodological recommendations). Journal Of Arrhythmology. 2001;24:65–86.
  13. de Boer RW, Karemaker JM, Strackee J. On the spectral analysis of blood pressure variability. Am J Physiol. 1986;251(3):H685-7. DOI: 10.1152/ajpheart.1986.251.3.H685.
  14. Kiselev AR, Posnenkova OM, Gridnev VI. et al. Internal synchronization of the main 0.1-Hz rhythms in the autonomic control of the cardiovascular system. Human Physiology. 2007;33(2):188–193. DOI: 10.1134/S0362119707020089.
  15. Kisetev AR, Gridnev VI, Posnenkova ОM. et al. Low-frequency rhythm synchronization determination-based assessment of chances in autonomic cardiovascular system regulation in the use of me-toprolol in post-myocardial infarction patients with coronary heart disease. Therapeutic archive. 2007;79(4):23–30.
  16. Pikovsky A, Rosenblum M, Kurths J. Synchronization: A universal concept in nonlinear sciences. Cambridge: Cambridge University Press; 2001. 432 p.
  17. Pikovsky AS, Rosenblum MG, Osipov GV, Kurths J. Phase synchronization of chaotic oscillators by external driving. Physica D. 1997;104:219–238. DOI:10.1016/S0167-2789(96)00301-6.
  18. Gabor D. Theory of communication. J. IEE (London). 1946;93(26):429–441. DOI: 10.1049/ji-3-2.1946.0074.
  19. Smirnov DA, Navrotskaya EV, Bezruchko BP. Statistical properties of phase synchronization coefficient estimator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008;16(2):111–121. DOI: 10.18500/0869-6632-2008-16-2-111-121.
  20. Schreiber T, Schmitz A. Surrogate time series. Physica D. 2000;142(3):346–382. DOI: 10.1016/S0167-2789(00)00043-9.
  21. Seidel H, Herzel H. Analyzing entrainment of heartbeat and respiration with surrogates. IEEE Eng Med Biol Mag. 1998;17(6):54–57. DOI: 10.1109/51.731321.
Received: 
23.12.2008
Accepted: 
01.04.2009
Published: 
31.12.2009
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