Synchronization of two-mode stochastic oscillators: a new model for rhythmic applause and much more

Néda, Zoltán; Nikitin, Alexander P.; Vicsek, Tamás

doi:10.1016/s0378-4371(02)01779-x

Cited by 27 publications

(40 citation statements)

References 19 publications

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“…This effect alone leads to prolonged cluster depolarization and therefore to lower cluster frequency. Alternatively, one may reach the same conclusion by considering the more general theory that suggests that the frequency and phase of coupled oscillators adjusts to a common mode and that the larger the clusters, the longer it takes to synchronize as a group (37,38).…”

Section: Discussionmentioning

confidence: 98%

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Kurz

Aon

O’Rourke

et al. 2010

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

123

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Mitochondrial networks in cardiac myocytes under oxidative stress show collective (cluster) behavior through synchronization of their inner membrane potentials (ΔΨ m ). However, it is unclear whether the oscillation frequency and coupling strength between individual mitochondria affect the size of the cluster and vice versa. We used the wavelet transform and developed advanced signal processing tools that allowed us to capture individual mitochondrial ΔΨ m oscillations in cardiac myocytes and examine their dynamic spatio-temporal properties. Heterogeneous frequency behavior prompted us to sort mitochondria according to their frequencies. Signal analysis of the mitochondrial network showed an inverse relationship between cluster size and cluster frequency as well as between cluster amplitude and cluster size. High cross-correlation coefficients between neighboring mitochondria clustered longitudinally along the myocyte striations, indicated anisotropic communication between mitochondria. Isochronal mapping of the onset of myocyte-wide ΔΨ m depolarization further exemplified heterogeneous ΔΨ m among mitochondria. Taken together, the results suggest that frequency and amplitude modulation of clusters of synchronized mitochondria arises by means of strong changes in local coupling between neighboring mitochondria.wavelets | frequency | amplitude | mitochondrial oscillator | mitochondrial coupling M itochondria in cardiac myocytes under the influence of substrate deprivation or oxidative stress have a fundamental role as determinants of cell life or death, with implications that scale to affect the function of the whole heart (1, 2). Cardiac mitochondria are organized in a highly ordered network consisting of intermyofibrillar, subcarcolemmal, and perinuclear (3) mitochondria whose coordinated function controls the energy metabolism of the myocyte (4).In cardiac myocytes, the localized perturbation of a few mitochondria within the overall mitochondrial network can trigger the transition from the physiological to the pathophysiological state by producing synchronized whole-myocyte oscillations of ΔΨ m that can be monitored with the fluorescent dye tetramethylrhodamine ethyl ester (TMRE) (5). The imbalance between reactive oxygen species (ROS) generation and ROS scavenging capacity in a significant proportion of the network (∼60%) (5) is thought to destabilize ΔΨ m beyond a critical point into a state of ROS-induced ROS release. Increased ROS overflow exceeding a threshold level results in the appearance of a spanning cluster of mitochondria oscillating in apparent synchrony throughout the cell as the mitochondrial network locks into a low-frequency, high-amplitude oscillatory mode (6, 7).In many disparate examples of physically and chemically coupled oscillators, synchronization of the system generally arises from an initial nucleus of (spontaneously) synchronized oscillators that integrate neighboring oscillators, thereby increasing the size and signal amplitude of the initial oscillatory nucleus (8-11).When the clus...

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Section: Discussionmentioning

confidence: 98%

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Kurz

Aon

O’Rourke

et al. 2010

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

123

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“…Each oscillator cycles between three states, which will be denoted here by , and (see Figure 1) [5], [12], [11]. State is the stochastic part of the oscillators period.…”

Section: The Modelmentioning

confidence: 99%

“…(see Figure 1). The units follow an output intensity optimization dynamics [12]. In case of model I (model II), when starting state ( ) the oscillators decide how long to stay in that state based on the total output of the system.…”

Section: Statementioning

confidence: 99%

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Synchronization of flashing electronic oscillators

Káptalan

Sarkozi

Tunyagi

et al. 2011

Proceedings of the Joint INDS'11 &Amp; ISTET'11

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A system of flashing electronic oscillators exhibiting highly nontrivial synchronization is built and studied. The electronic oscillators are capable of detecting the ambient light intensity and for emitting light pulses in various modes. A simple optimization rule drives the system. Whenever the light intensity detected by an oscillator is lower than a critical * value, the oscillator chooses an operation mode that increases the ambient light intensity. In contrary, when the light intensity detected by the oscillator is smaller than * the oscillators operate in a mode that decreases the ambient light intensity. As a result of this simple optimization rule an unexpected synchronization of the emitted pulses appears for a given * interval. Our experimental results confirm the earlier computer simulation predictions.

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“…It will be shown that this system exhibits a curious pattern evolution. When visualizing the spatiotemporal evolution of the strategy distribution, one can observe domains with globally oscillating compositions or structures analogously to the discrete clock models [85,86]. In fact, these domains represent different phases of limit cycles and compete against each other via invasions along the interfaces separating them.…”

Section: Introductionmentioning

confidence: 99%

Self-organizing patterns in an evolutionary rock-paper-scissors game for stochastic synchronized strategy updates

2014

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We study a spatial evolutionary rock-paper-scissors game with synchronized strategy updating. Players gain their payoff from games with their four neighbors on a square lattice and can update their strategies simultaneously according to the logit rule, which is the noisy version of the best-response dynamics. For the synchronized strategy update two types of global oscillations (with an ordered strategy arrangement and periods of three and six generations) can occur in this system in the zero noise limit. At low noise values, all nine oscillating phases are present in the system by forming a self-organizing spatial pattern due to the comprising invasion and speciation processes along the interfaces separating the different domains.

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Synchronization of two-mode stochastic oscillators: a new model for rhythmic applause and much more

Cited by 27 publications

References 19 publications

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Spatio-temporal oscillations of individual mitochondria in cardiac myocytes reveal modulation of synchronized mitochondrial clusters

Synchronization of flashing electronic oscillators

Self-organizing patterns in an evolutionary rock-paper-scissors game for stochastic synchronized strategy updates

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