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It has been postulated that the brain operates in a self-organized critical state that brings multiple benefits, such as optimal sensitivity to input. Thus far, self-organized criticality has typically been depicted as a one-dimensional…

Adaptation and Self-Organizing Systems · Physics 2023-05-08 Silja Sormunen , Thilo Gross , Jari Saramäki

Neural systems face the challenge of maintaining reliable representations amid variations from plasticity and spontaneous activity. In particular, the spontaneous dynamics in neuronal circuit is known to operate near a highly variable…

Neurons and Cognition · Quantitative Biology 2026-03-24 Zhuda Yang , Junhao Liang , Wing Ho Yung , Changsong Zhou

Sleep is characterized by non-rapid eye movement (nREM) sleep, originating from widespread neuronal synchrony, and REM sleep, with neuronal desynchronization akin to waking behavior. While these were thought to be global brain states,…

Neurons and Cognition · Quantitative Biology 2024-05-29 Davor Curic , Surjeet Singh , Mojtaba Nazari , Majid H. Mohajerani , Joern Davidsen

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

Quantifying the neural signatures of consciousness remains a major challenge in neuroscience and AI. Although many theories link consciousness to rich, multiscale, and flexible neural organisation, robust quantitative measures are still…

Neurons and Cognition · Quantitative Biology 2025-12-15 Hassan Ugail , Newton Howard

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity dependent…

Adaptation and Self-Organizing Systems · Physics 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

Chaotic Dynamics · Physics 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

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

We have numerically studied the trapping problem in a two-dimensional lattice where particles are continuously generated. We have introduced interaction between particles and directionality of their movement. This model presents a critical…

High Energy Physics - Lattice · Physics 2009-10-22 I. Campos , A. Tarancon

This paper addresses the question of the brain's critical dynamics after an injury such as a stroke. It is hypothesized that the healthy brain operates near a phase transition (critical point), which provides optimal conditions for…

Neurons and Cognition · Quantitative Biology 2023-08-01 Jakub Janarek , Zbigniew Drogosz , Jacek Grela , Jeremi K. Ochab , Paweł Oświęcimka

The concept of the brain as a critical system is very attractive because systems close to criticality are thought to maximise their dynamic range of information processing and communication. To date, there have been two key experimental…

Disordered Systems and Neural Networks · Physics 2014-10-22 Maria Botcharova , Simon F. Farmer , Luc Berthouze

Criticality can be exactly demonstrated in certain models of brain activity, yet it remains challenging to identify in empirical data. We trained a fully connected deep neural network to learn the phases of an excitable model unfolding on…

Neurons and Cognition · Quantitative Biology 2022-06-13 Hernan Bocaccio , Enzo Tagliazucchi

In recent years self organised critical neuronal models have provided insights regarding the origin of the experimentally observed avalanching behaviour of neuronal systems. It has been shown that dynamical synapses, as a form of short-term…

Adaptation and Self-Organizing Systems · Physics 2018-03-28 L. Michiels van Kessenich , M. Luković , L. de Arcangelis , H. J. Herrmann

Understanding the neural correlates of consciousness remains a central challenge in neuroscience. In this study, we investigate the relationship between consciousness and neural responsiveness by analyzing intracranial ECoG recordings from…

Neurons and Cognition · Quantitative Biology 2025-12-04 Wenkang Du , Haiping Huang

In this essay we elaborate on recent evidence demonstrating the presence of a second order phase transition in human brain dynamics and discuss its consequences for theoretical approaches to brain function. We review early evidence of…

Neurons and Cognition · Quantitative Biology 2015-06-12 Enzo Tagliazucchi , Dante R. Chialvo

A prominent hypothesis in neuroscience proposes that brains achieve optimal performance by operating near a critical point. However, this framework, which often assumes a universal critical point, fails to account for the extensive…

Neurons and Cognition · Quantitative Biology 2025-12-04 Kejian Wu , Dante R. Chialvo , Changsong Zhou , Lianchun Yu

To set the stage for viewing Consciousness in terms of brain phase space dynamics and criticality, I will first review currently prominent theoretical conceptualizations and, where appropriate, identify ill-advised and flawed notions in…

Neurons and Cognition · Quantitative Biology 2011-03-14 Gerhard Werner

Motivated by recent experiments in neuroscience which indicate that neuronal avalanches exhibit scale invariant behavior similar to self-organized critical systems, we study the role of noisy (non-conservative) local dynamics on the…

Statistical Mechanics · Physics 2014-06-24 S. Amin Moosavi , Afshin Montakhab

Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural network that intrinsically generates…

Neurons and Cognition · Quantitative Biology 2010-08-04 Kanaka Rajan , L F Abbott , Haim Sompolinsky

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan