Self-sustained irregular activity in an ensemble of neural oscillators

An ensemble of pulse-coupled phase-oscillators is thoroughly analysed in the presence of a mean-field coupling and a dispersion of their natural frequencies. In spite of the analogies with the Kuramoto setup, a much richer scenario is observed. The "synchronised phase", which emerges upon increasing the coupling strength, is characterized by highly-irregular fluctuations: a time-series analysis reveals that the dynamics of the order parameter is indeed high-dimensional. The complex dynamics appears to be the result of the non-perturbative action of a suitably shaped phase-response curve. Such mechanism differs from the often invoked balance between excitation and inhibition and might provide an alternative basis to account for the self-sustained brain activity in the resting state. The potential interest of this dynamical regime is further strengthened by its (microscopic) linear stability, which makes it quite suited for computational tasks. The overall study has been performed by combining analytical and numerical studies, starting from the linear stability analysis of the asynchronous regime, to include the Fourier analysis of the Kuramoto order parameter, the computation of various types of Lyapunov exponents, and a microscopic study of the inter-spike intervals.Comment: 11 pages, 10 figure

Chaotic macroscopic phases in one-dimensional oscillators

APo and EU wish to acknowledge the Advanced Study Group activity at the Max Planck Institute for the Physics of Complex Systems in Dresden “From Microscopic to Collective Dynamics in Neural Circuits” for the opportunity to develop part of the project.Peer reviewedPublisher PD

Cortical Spike Synchrony as a Measure of Input Familiarity

J.G.O. was supported by the Ministerio de Economia y Competividad and FEDER (Spain, project FIS2015-66503-C3-1-P) and the ICREA Academia programme. E.U. acknowledges support from the Scottish Universities Life Sciences Alliance (SULSA) and HPC-Europa2.Peer reviewedPostprin

Collective dynamics in the presence of finite-width pulses

ACKNOWLEDGMENTS Afifurrahman was supported by the Ministry of Finance of the Republic of Indonesia through the Indonesia Endowment Fund for Education (LPDP) (Grant No. PRJ-2823/LPDP/2015).Peer reviewedPostprintPublisher PD

Stability of synchronous states in sparse neuronal networks

Acknowledgements: Afifurrahman was supported by the Ministry of Finance of the Republic of Indonesia through the Indonesia Endowment Fund for Education (LPDP) (grant number: PRJ2823/LPDP/2015) Compliance with ethical standards Conflict of interest The authors declare that they have no con- flict of interest.Peer reviewedPreprintPublisher PD

Theoretical basis of the community effect in development

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Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Open access via Springer Compact The authors acknowledge: N. Brunel, F. Farkhooi, G. Mato, S. Ostoijc, A. Roxin, and M. di Volo for useful discussions. One of us (AT) has been supported by the French government under the Excellence Initiative I-Site Paris Seine (No ANR-16-IDEX-008) and under the Labex MME-DII (No ANR-11-LBX-0023-01). The work has been mainly realized at the Max Planck Institute for the Physics of Complex Systems (Dresden, Germany) during the Advanced Study Group 2016/17 “From Microscopic to Collective Dynamics in Neural Circuits”.Peer reviewedPublisher PD

Quantitative and qualitative analysis of asynchronous neural activity

ACKNOWLEDGMENTS A.T. received financial support by the Excellence Initiative I-Site Paris Seine (Grant No. ANR-16-IDEX-008), by the Labex MME-DII (Grant No ANR-11-LBX-0023-01) (together with A.P. and E.U.), and by the ANR Project ERMUNDY (Grant No ANR-18-CE37-0014), all part of the French program Investissements d’Avenir.Peer reviewedPublisher PD

Mammalian Brain As a Network of Networks

Acknowledgements AZ, SG and AL acknowledge support from the Russian Science Foundation (16-12-00077). Authors thank T. Kuznetsova for Fig. 6.Peer reviewedPublisher PD

Exponential signaling gain at the receptor level enhances signal-to-noise ratio in bacterial chemotaxis

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