Diversity of coupled oscillators can enhance their synchronization

Montaseri, Ghazal; Meyer‐Hermann, Michael

doi:10.1103/physreve.94.042213

Cited by 5 publications

(4 citation statements)

References 38 publications

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“…For example, in a system where oscillators of similar frequency are spatially grouped, the network synchronization is optimal under weaker coupling regimes compared to systems with random spatial assignment of frequency (56). A recent modeling study using a coupled b-cell model showed that greater heterogeneity among b-cells increased synchronization (57). Thus, islet dysfunction after disruptions to Cx36 gap junction coupling, which can occur in several conditions linked to the development of diabetes (13,14,58), may be protected by spatially grouping cells of similar excitability and oscillation frequency.…”

Section: Spatial Organization Of Cell Heterogeneitymentioning

confidence: 99%

Spatially Organized β-Cell Subpopulations Control Electrical Dynamics across Islets of Langerhans

Westacott¹,

Ludin²,

Benninger³

2017

Biophysical Journal

159

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Understanding how heterogeneous cells within a multicellular system interact and affect overall function is difficult without a means of perturbing individual cells or subpopulations. Here we apply optogenetics to understand how subpopulations of β-cells control the overall [Ca] response and insulin secretion dynamics of the islets of Langerhans. We spatiotemporally perturbed electrical activity in β-cells of channelrhodopsin2-expressing islets, mapped the [Ca] response, and correlated this with the cellular metabolic activity and an in silico electrophysiology model. We discovered organized regions of metabolic activity across the islet, and these affect the way in which β-cells electrically interact. Specific regions acted as pacemakers by initiating calcium wave propagation. Our findings reveal the functional architecture of the islet, and show how distinct subpopulations of cells can disproportionality affect function. These results also suggest ways in which other neuroendocrine systems can be regulated, and demonstrate how optogenetic tools can discern their functional architecture.

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Section: Spatial Organization Of Cell Heterogeneitymentioning

confidence: 99%

Spatially Organized β-Cell Subpopulations Control Electrical Dynamics across Islets of Langerhans

Westacott¹,

Ludin²,

Benninger³

2017

Biophysical Journal

159

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“…Previous analyses of synchronization of nonidentical chaotic oscillators have focused mainly on cluster synchronization [7,8] and phase synchronization [9][10][11][12][13]. For example, oscillator heterogeneity has been shown to mediate relay synchronization [14][15][16] and to induce frequency locking by suppressing chaos [17][18][19][20]. Global chaos synchronization of nonidentical oscillators, on the other hand, has been explored mainly for strong coupling and small parameter mismatches [21][22][23][24], with an emphasis on the extent to which synchrony persists when the oscillators are slightly different [25,26].…”

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confidence: 99%

Synchronizing Chaos with Imperfections

2021

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Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite occurs and show that oscillator heterogeneity can synchronize chaos for conditions under which identical oscillators cannot. This effect is not limited to small mismatches and is observed for random oscillator heterogeneity on both homogeneous and heterogeneous network structures. The results are demonstrated experimentally using networks of Chua's oscillators and are further supported by numerical simulations and theoretical analysis. In particular, we propose a general mechanism based on heterogeneity-induced mode mixing that provides insights into the observed phenomenon. Since individual differences are ubiquitous and often unavoidable in real systems, it follows that such imperfections can be an unexpected source of synchronization stability.

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“…For example, for coupled oscillators in a chaotic regime, heterogeneity can suppress chaos, giving rise to more regular patterns [17]. In these studies, and numerous subsequent ones [20][21][22], disorder does not stabilize the system around an original synchronization orbit, but instead generates new behavior that is qualitatively different. However, it has been recently realized that certain oscillator heterogeneities can stabilize a synchronization orbit of the homogeneous system [23][24][25].…”

Section: Introductionmentioning

confidence: 95%

Random heterogeneity outperforms design in network synchronization

Zhang

Ocampo-Espindola

Kiss

et al. 2021

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

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A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show that this assumption does not generally hold in oscillator networks when communication delays are present. We demonstrate, in particular, that random parameter heterogeneity among oscillators can consistently rescue the system from losing synchrony. This finding is supported by electrochemical-oscillator experiments performed on a multielectrode array network. Remarkably, at intermediate levels of heterogeneity, random mismatches are more effective in promoting synchronization than parameter assignments specifically designed to facilitate identical synchronization. Our results suggest that, rather than being eliminated or ignored, intrinsic disorder in technological and biological systems can be harnessed to help maintain coherence required for function.

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Diversity of coupled oscillators can enhance their synchronization

Cited by 5 publications

References 38 publications

Spatially Organized β-Cell Subpopulations Control Electrical Dynamics across Islets of Langerhans

Spatially Organized β-Cell Subpopulations Control Electrical Dynamics across Islets of Langerhans

Synchronizing Chaos with Imperfections

Random heterogeneity outperforms design in network synchronization

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