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We show that a network of spiking neurons exhibits robust self-organized criticality if the synaptic efficacies follow realistic dynamics. Deriving analytical expressions for the average coupling strengths and inter-spike intervals, we…

Statistical Mechanics · Physics 2007-12-07 Anna Levina , J. Michael Herrmann , Theo Geisel

We investigate the synaptic noise as a novel mechanism for creating critical avalanches in the activity of neural networks. We model neurons and chemical synapses by dynamical maps with a uniform noise term in the synaptic coupling. An…

Disordered Systems and Neural Networks · Physics 2015-10-07 Mauricio Girardi-Schappo , Osame Kinouchi , Marcelo H. R. Tragtenberg

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

The existence of power-law distributions is only a first requirement in the validation of the critical behavior of a system. Long-range spatio-temporal correlations are fundamental for the spontaneous neuronal activity to be the expression…

Statistical Mechanics · Physics 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. Strong evidence for criticality has been observed in terms of…

Disordered Systems and Neural Networks · Physics 2012-12-14 Matthias Rybarsch , Stefan Bornholdt

We characterize the distributions of size and duration of avalanches propagating in complex networks. By an avalanche we mean the sequence of events initiated by the externally stimulated `excitation' of a network node, which may, with some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Marshall Y. Carpenter , Edward Ott , Juan G. Restrepo

Scale-invariant neuronal avalanches have been observed in cell cultures and slices as well as anesthetized and awake brains, suggesting that the brain operates near criticality, i.e. within a narrow margin between avalanche propagation and…

Neurons and Cognition · Quantitative Biology 2011-01-18 Tiago L. Ribeiro , Mauro Copelli , Fábio Caixeta , Hindiael Belchior , Dante R. Chialvo , Miguel A. L. Nicolelis , Sidarta Ribeiro

The human brain exhibits a complex structure made of scale-free highly connected modules loosely interconnected by weaker links to form a small-world network. These features appear in healthy patients whereas neurological diseases often…

Neurons and Cognition · Quantitative Biology 2014-03-26 Roberta Russo , Hans J Herrmann , Lucilla de Arcangelis

As shown recently (arXiv:0801.3056), several types of neuronal complex networks involving non-linear integration-and-fire dynamics exhibit an abrupt activation along their transient regime. Interestingly, such an avalanche of activation has…

Physics and Society · Physics 2008-02-05 Luciano da Fontoura Costa

Living neuronal networks in dissociated neuronal cultures are widely known for their ability to generate highly robust spatiotemporal activity patterns in various experimental conditions. These include neuronal avalanches satisfying the…

Adaptation and Self-Organizing Systems · Physics 2022-05-17 I. Y. Tyukin , D. Iudin , F. Iudin , T. Tyukina , V. Kazantsev , I. Mukhina , A. N. Gorban

Neural avalanches are collective firings of neurons that exhibit emergent scale-free behavior. Understanding the nature and distribution of these avalanches is an important element in understanding how the brain functions. We study a model…

Biological Physics · Physics 2021-02-10 Sakib Matin , Thomas Tenzin , W. Klein

The critical brain hypothesis has emerged as an attractive framework to understand neuronal activity, but it is still widely debated. In this work, we analyze data from a multi-electrodes array in the rat's cortex and we find that power-law…

Statistical Mechanics · Physics 2022-07-08 Benedetta Mariani , Giorgio Nicoletti , Marta Bisio , Marta Maschietto , Stefano Vassanelli , Samir Suweis

A self-organising model is proposed to explain the criticality in cortical networks deduced from recent observations of neuronal avalanches. Prevailing understanding of self-organised criticality (SOC) dictates that conservation of energy…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico

Our mysterious brain is believed to operate near a non-equilibrium point and generate critical self-organized avalanches in neuronal activity. Recent experimental evidence has revealed significant heterogeneity in both synaptic input and…

Neurons and Cognition · Quantitative Biology 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

Many systems in Nature exhibit avalanche dynamics with scale-free features. A general scaling theory has been proposed for critical avalanche profiles in crackling noise, predicting the collapse onto a universal avalanche shape, as well as…

Neurons and Cognition · Quantitative Biology 2022-09-14 Manoj K. Nandi , Alessandro Sarracino , Hans J. Herrmann , Lucilla de Arcangelis

Neuronal networks can present activity described by power-law distributed avalanches presumed to be a signature of a critical state. Here we study a random-neighbor network of excitable cellular automata coupled by dynamical synapses. The…

Adaptation and Self-Organizing Systems · Physics 2015-07-21 Ariadne de A. Costa , Mauro Copelli , Osame Kinouchi

The brain keeps its overall dynamics in a corridor of intermediate activity and it has been a long standing question what possible mechanism could achieve this task. Mechanisms from the field of statistical physics have long been suggesting…

Disordered Systems and Neural Networks · Physics 2014-10-08 Matthias Rybarsch , Stefan Bornholdt

Emulating the neural-like information processing dynamics of the brain provides a time and energy efficient approach for solving complex problems. While the majority of neuromorphic hardware currently developed rely on large arrays of…

Cortical networks exhibit synchronized activity which often occurs in spontaneous events in the form of spike avalanches. Since synchronization has been causally linked to central aspects of brain function such as selective signal…

Neurons and Cognition · Quantitative Biology 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

Directed complex network of two-state model neurons linked by synapses which can be blocked or activated stochastically in time undergoes phase transition between the quiescent phase with zero activity and the active one with persistent…

Disordered Systems and Neural Networks · Physics 2009-06-25 S. L. Ginzburg , M. A. Pustovoit