Synchronization between main rhythmic processes in the human cardiovascular system

Прохоров, М. Д.; Ponomarenko, V. I.; Gridnev, Vladimir I.; Bodrov, M. B.; Bespyatov, A.B.

doi:10.1103/physreve.68.041913

Cited by 104 publications

(82 citation statements)

References 26 publications

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“…Though the characterization of the new intermittent process has been here explicitly derived at the boundary of phase synchronization of chaotic systems, we expect that the very same mechanism can be observed in many other relevant circumstances, as e.g. laser systems [11], or in the case of the interaction between the main rhythmic processes in the human cardiovascular system [20,21].…”

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confidence: 99%

Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization

et al. 2006

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A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the frequencies of the two coupled systems. The laws for both the distribution and the mean length of the laminar phases versus the coupling strength are analytically deduced. A very good agreement between the theoretical results and the numerically calculated data is shown. We discuss how this mechanism is expected to take place in other relevant physical circumstances. Intermittent behavior is an ubiquitous phenomenon in nonlinear science. Its arousal and main statistical properties have been studied and characterized already since long time ago, and different types of intermittency have been classified as types I-III [1, 2] or on-off intermittency [3,4]. One of the most general and interesting manifestations of the intermittent behavior can be observed near of the boundary of chaotic synchronization regimes. Indeed, close to the threshold parameter values for which the coupled systems show synchronized dynamics, it is observed that the de-synchronization mechanism involves persistent intermittent time intervals during which the synchronized oscillations are interrupted by the non-synchronous behavior. These pre-transitional intermittencies have been described in details for the case of lag synchronization [5,6,7] and for generalized synchronization [8], and their main statistical properties (following those of the on-off intermittency) have been shown to be common to other relevant physical processes.As far as intermittency phenomena near the phase synchronization onset are concerned, two types of intermittent behavior have been observed so far [9,10,11,12], namely the type-I intermittency and the super-long laminar behavior (so called "eyelet intermittency" [13]).In this Letter we report that a new type of intermittent behavior is observed near the phase synchronization boundary of two unidirectionally coupled chaotic oscillators, when the natural frequencies of the two oscillators are sufficiently different from one another. The system under study is represented by a pair of unidirectionally coupled Rössler systems, whose equations read aṡy r , z r )] are the cartesian coordinates of the drive (the response) oscillator, dots stand for temporal derivatives, and ε is a parameter ruling the coupling strength. The other control parameters of Eq. (1) have been set to a = 0.15, p = 0.2, c = 10.0, in analogy with previous studies [14,15]. The ω r -parameter (representing the natural frequency of the response system) has been selected to be ω r = 0.95; the analogous parameter for the drive system has been fixed to ω d = 1.0. For such a choice of parameter values, both chaotic attractors of the drive and response systems are, at zero coupling strength, phase coherent. Furthermore, the boundary of the phase synchronization regime occur around ε c ≈ 0.124.The instantaneous phase of the ch...

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confidence: 99%

Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization

et al. 2006

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“…E 73, 026208 (2006) † Electronic address: aeh@cas.ssu.runnet.ru ‡ Electronic address: alkor@cas.ssu.runnet.ru § Electronic address: vip@sgu.ru in the human CVS has been reported in Refs. [5,9,10,11,12]. It has been found that the systems generating the main heart rhythm and the rhythm of slow regulation of blood pressure can be treated as self-sustained oscillators and the respiration can be regarded as an external forcing of these systems [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…[5,9,10,11,12]. It has been found that the systems generating the main heart rhythm and the rhythm of slow regulation of blood pressure can be treated as self-sustained oscillators and the respiration can be regarded as an external forcing of these systems [11,12]. However, at respiration frequencies close to 0.1 Hz it becomes difficult to distinguish the case of true synchronization between the respiration and the process of blood pressure regulation from the case of spurious synchronization caused by the presence of the respiratory component in the HRV and blood pressure signals used for the analysis of the rhythm with the basic frequency of about 0.1 Hz.…”

Section: Introductionmentioning

confidence: 99%

Detecting synchronization of self-sustained oscillators by external driving with varying frequency

et al. 2006

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We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained oscillator and external force and allows one to distinguish the case of true synchronization from the case of spurious synchronization caused by linear mixing of the signals. We apply the method to driven van der Pol oscillator and to experimental data of human heart rate variability and respiration.

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“…1). Earlier studies have focused on short data segments to identify certain degrees of cardiorespiratory phase synchronization (CRPS) in healthy young subjects (5,6) and in newborn infants (7). A more recent study has identified an intriguing effect of maternal-fetal heartrate synchronization (8).…”

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Phase transitions in physiologic coupling

Bartsch

Schumann

Kantelhardt

et al. 2012

Proc. Natl. Acad. Sci. U.S.A.

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Integrated physiological systems, such as the cardiac and the respiratory system, exhibit complex dynamics that are further influenced by intrinsic feedback mechanisms controlling their interaction. To probe how the cardiac and the respiratory system adjust their rhythms, despite continuous fluctuations in their dynamics, we study the phase synchronization of heartbeat intervals and respiratory cycles. The nature of this interaction, its physiological and clinical relevance, and its relation to mechanisms of neural control is not well understood. We investigate whether and how cardiorespiratory phase synchronization (CRPS) responds to changes in physiological states and conditions. We find that the degree of CRPS in healthy subjects dramatically changes with sleep-stage transitions and exhibits a pronounced stratification pattern with a 400% increase from rapid eye movement sleep and wake, to light and deep sleep, indicating that sympatho-vagal balance strongly influences CRPS. For elderly subjects, we find that the overall degree of CRPS is reduced by approximately 40%, which has important clinical implications. However, the sleep-stage stratification pattern we uncover in CRPS does not break down with advanced age, and surprisingly, remains stable across subjects. Our results show that the difference in CRPS between sleep stages exceeds the difference between young and elderly, suggesting that sleep regulation has a significantly stronger effect on cardiorespiratory coupling than healthy aging. We demonstrate that CRPS and the traditionally studied respiratory sinus arrhythmia represent different aspects of the cardiorespiratory interaction, and that key physiologic variables, related to regulatory mechanisms of the cardiac and respiratory systems, which influence respiratory sinus arrhythmia, do not affect CRPS.

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Synchronization between main rhythmic processes in the human cardiovascular system

Cited by 104 publications

References 26 publications

Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization

Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization

Detecting synchronization of self-sustained oscillators by external driving with varying frequency

Phase transitions in physiologic coupling

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