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In this paper we study a simple model of a purely excitatory neural network that, by construction, operates at a critical point. This model allows us to consider various markers of criticality and illustrate how they should perform in a…

神经元与认知 · 定量生物学 2013-05-17 Timothy J. Taylor , Caroline Hartley , Péter L. Simon , Istvan Z Kiss , Luc Berthouze

The observation of critical-like behavior in cortical networks represents a major step forward in elucidating how the brain manages information. Understanding the origin and functionality of critical-like dynamics, as well as their…

神经元与认知 · 定量生物学 2015-06-22 Paula Villa Martín , Paolo Moretti , Miguel A. Muñoz

As a promising computational paradigm, occurrence of critical states in artificial and biological neural networks has attracted wide-spread attention. An often-made explicit or implicit assumption is that one single critical state is…

神经元与认知 · 定量生物学 2017-08-15 Karlis Kanders , Tom Lorimer , Yoko Uwate , Willi-Hans Steeb , Ruedi Stoop

The principle of maximum entropy provides a useful method for inferring statistical mechanics models from observations in correlated systems, and is widely used in a variety of fields where accurate data are available. While the assumptions…

神经元与认知 · 定量生物学 2017-06-02 Ulisse Ferrari , Tomoyuki Obuchi , Thierry Mora

The critical brain hypothesis posits that neural circuitry operates near criticality to reap the computational benefits of accessing a wide range of timescales. The theory of critical phenomena generally predicts heavy-tailed (power-law)…

神经元与认知 · 定量生物学 2025-12-23 Jacob T. Crosser , Braden A. W. Brinkman

At the point of a second order phase transition also termed as a critical point, systems display long range order and their macroscopic behaviors are independent of the microscopic details making up the system. Due to these properties, it…

神经元与认知 · 定量生物学 2017-07-18 Vaibhav Wasnik

While criticality is widely observed in neural networks, its underlying neural mechanism is not known well. We consider a network of $N$ excitatory leaky integrated and fire (LIF) neurons that reside on a regular lattice with periodic…

适应与自组织系统 · 物理学 2020-11-11 Nahid Safari , Farhad Shahbazi , Mohammad Dehghani-Habibabadi , Moein Esghaei , Marzieh Zare

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…

无序系统与神经网络 · 物理学 2018-08-29 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

It is widely accepted that the brain operates near a critical state, characterized by neural avalanches that follow power-law distributions. However, the functional rationale for why neural systems attain criticality remains unclear. Here,…

神经元与认知 · 定量生物学 2026-05-22 He Xiao , Xinyue Zhao , Weikang Wang

Multiple studies of neural avalanches across different data modalities led to the prominent hypothesis that the brain operates near a critical point. The observed exponents often indicate the mean-field directed-percolation universality…

神经元与认知 · 定量生物学 2022-11-14 Roxana Zeraati , Victor Buendía , Tatiana A. Engel , Anna Levina

Cognitive function requires the coordination of neural activity across many scales, from neurons and circuits to large-scale networks. As such, it is unlikely that an explanatory framework focused upon any single scale will yield a…

神经元与认知 · 定量生物学 2018-01-19 Luca Cocchi , Leonardo L. Gollo , Andrew Zalesky , Michael Breakspear

Neuronal avalanches, measured in vitro and in vivo, exhibit a robust critical behaviour. Their temporal organization hides the presence of correlations. Here we present experimental measurements of the waiting time distribution between…

神经元与认知 · 定量生物学 2012-04-30 F. Lombardi , H. J. Herrmann , C. Perrone-Capano , D. Plenz , L. de Arcangelis

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…

无序系统与神经网络 · 物理学 2022-02-08 Lorenz Baumgarten , Stefan Bornholdt

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…

神经元与认知 · 定量生物学 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

Recently, neuronal avalanches have been observed to display oscillations, a phenomenon regarded as the co-existence of a scale-free behaviour (the avalanches close to criticality) and scale-dependent dynamics (the oscillations). Ordinary…

无序系统与神经网络 · 物理学 2020-03-09 Johannes Pausch , Rosalba Garcia-Millan , Gunnar Pruessner

Spontaneous brain activity in the absence of external stimuli is not random but contains complex dynamical structures such as neuronal avalanches with power-law duration and size distributions. These experimental observations have been…

生物物理 · 物理学 2024-12-04 Lik-Chun Chan , Tsz-Fung Kok , Emily S. C. Ching

Self-organized critical states are found in many natural systems, from earthquakes to forest fires, they have also been observed in neural systems, particularly, in neuronal cultures. However, the presence of critical states in the awake…

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,…

神经元与认知 · 定量生物学 2024-05-29 Davor Curic , Surjeet Singh , Mojtaba Nazari , Majid H. Mohajerani , Joern Davidsen

Many studies have found evidence that the brain operates at a critical point, a processus known as self-organized criticality. A recent paper found remarkable scalings suggestive of criticality in systems as different as neural cultures,…

神经元与认知 · 定量生物学 2020-12-29 Alain Destexhe , Jonathan D. Touboul

Although there is increasing evidence of criticality in the brain, the processes that guide neuronal networks to reach or maintain criticality remain unclear. The present research examines the role of neuronal gain plasticity in time-series…

神经元与认知 · 定量生物学 2018-02-21 Ariadne de Andrade Costa , Mary Jean Amon , Olaf Sporns , Luis Favela