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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

Scale-free behavior as well as oscillations are frequently observed in the activity of many natural systems. One important example is the cortical tissues of mammalian brain where both phenomena are simultaneously observed. Rhythmic…

Disordered Systems and Neural Networks · Physics 2018-08-29 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

Spontaneous neuronal activity is a ubiquitous feature of cortex. Its spatiotemporal organization reflects past input and modulates future network output. Here we study whether a particular type of spontaneous activity is generated by a…

Neurons and Cognition · Quantitative Biology 2009-11-09 Woodrow L. Shew , Hongdian Yang , Thomas Petermann , Rajarshi Roy , Dietmar Plenz

Networks of living neurons exhibit an avalanche mode of activity, experimentally found in organotypic cultures. Here we present a model based on self-organized criticality and taking into account brain plasticity, which is able to reproduce…

Neurons and Cognition · Quantitative Biology 2009-11-13 Lucilla de Arcangelis , Carla Perrone-Capano , Hans J. Herrmann

Rich, spontaneous brain activity has been observed across a range of different temporal and spatial scales. These dynamics are thought to be important t for efficient neural functioning. Experimental evidence suggests that these neural…

Neurons and Cognition · Quantitative Biology 2015-01-21 Peter J. Hellyer , Barbara Jachs , Robert Leech , Claudia Clopath

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

The observation of apparent power-laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of self-organised criticality a…

Neurons and Cognition · Quantitative Biology 2014-10-22 Caroline Hartley , Timothy J Taylor , Istvan Z Kiss , Simon F Farmer , Luc Berthouze

The critical brain hypothesis receives increasing support from recent experimental results. It postulates that the brain is at a critical point between an ordered and a chaotic regime, sometimes referred to as the "edge of chaos." Another…

Disordered Systems and Neural Networks · Physics 2022-02-08 Lorenz Baumgarten , Stefan Bornholdt

Neuronal avalanches are a novel mode of activity in neuronal networks, experimentally found in vitro and in vivo, and exhibit a robust critical behaviour: These avalanches are characterized by a power law distribution for the size and…

Neurons and Cognition · Quantitative Biology 2012-04-02 Lucilla de Arcangelis , Hans J. Herrmann

Synaptic connections between neurons in the brain are dynamic because of continuously ongoing spine dynamics, axonal sprouting, and other processes. In fact, it was recently shown that the spontaneous synapse-autonomous component of spine…

Neurons and Cognition · Quantitative Biology 2018-01-08 David Kappel , Robert Legenstein , Stefan Habenschuss , Michael Hsieh , Wolfgang Maass

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

The idea that information-processing systems operate near criticality to enhance computational performance is supported by scaling signatures in brain activity. However, external signals raise the question of whether this behavior is…

Neurons and Cognition · Quantitative Biology 2026-02-10 Rubén Calvo , Carles Martorell , Adrián Roig , Miguel A. Muñoz

Experiments in various neural systems found avalanches: bursts of activity with characteristics typical for critical dynamics. A possible explanation for their occurrence is an underlying network that self-organizes into a critical state.…

Neurons and Cognition · Quantitative Biology 2018-11-08 Felipe Yaroslav Kalle Kossio , Sven Goedeke , Benjamin van den Akker , Borja Ibarz , Raoul-Martin Memmesheimer

Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Silja Sormunen , Thilo Gross , Jari Saramäki

A rigorous understanding of brain dynamics and function requires a conceptual bridge between multiple levels of organization, including neural spiking and network-level population activity. Mounting evidence suggests that neural networks of…

Neurons and Cognition · Quantitative Biology 2016-10-11 Yahya Karimipanah , Zhengyu Ma , Ralf Wessel

Shedding light onto how biological systems represent, process and store information in noisy environments is a key and challenging goal. A stimulating, though controversial, hypothesis poses that operating in dynamical regimes near the edge…

Disordered Systems and Neural Networks · Physics 2021-07-14 Guillermo B. Morales , Miguel A. Muñoz

In functionally complex systems, higher-order connectivity is often revealed in the underlying geometry of networked units. Furthermore, such systems often show signatures of self-organized criticality, a specific type of non-equilibrium…

Statistical Mechanics · Physics 2026-03-11 Bosiljka Tadic , Roderick Melnik

Avalanches of electrochemical activity in brain networks have been empirically reported to obey scale-invariant behavior --characterized by power-law distributions up to some upper cut-off-- both in vitro and in vivo. Elucidating whether…

Neurons and Cognition · Quantitative Biology 2018-01-03 Matteo Martinello , Jorge Hidalgo , Serena di Santo , Amos Maritan , Dietmar Plenz , Miguel A. Muñoz

Representational drift refers to over-time changes in neural activation accompanied by a stable task performance. Despite being observed in the brain and in artificial networks, the mechanisms of drift and its implications are not fully…

Disordered Systems and Neural Networks · Physics 2023-06-07 Farhad Pashakhanloo , Alexei Koulakov

The brain encodes external stimuli through patterns of neural activity, forming internal representations of the world. Recent experiments show that neural representations for a given stimulus change over time. However, the mechanistic…

Neurons and Cognition · Quantitative Biology 2024-12-19 Guillermo B. Morales , Miguel A. Muñoz , Yuhai Tu