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Random graphs have played an instrumental role in modelling real-world networks arising from the internet topology, social networks, or even protein-interaction networks within cells. Percolation, on the other hand, has been the fundamental…

概率论 · 数学 2018-09-12 Souvik Dhara

Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microscopic mechanisms underlying this phase transition are unknown,…

数学物理 · 物理学 2013-03-18 Gilles Wainrib , Jonathan Touboul

Criticality, observed during second-order phase transitions, is an emergent phenomenon. The brain operates near criticality, where complex systems exhibit high correlations. The critical brain hypothesis suggests that the brain becomes an…

统计力学 · 物理学 2023-06-21 Anirudh Palutla , Shivansh Seth , S. S. Ashwin , Marimuthu Krishnan

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

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

The critical state is assumed to be optimal for any computation in recurrent neural networks, because criticality maximizes a number of abstract computational properties. We challenge this assumption by evaluating the performance of a…

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…

神经元与认知 · 定量生物学 2026-02-10 Rubén Calvo , Carles Martorell , Adrián Roig , Miguel A. Muñoz

We present a neuronal network model inspired by the Ising model, where each neuron is a binary spin ($s_i = \pm1$) interacting with its neighbors on a 2D lattice. Updates are asynchronous and follow Metropolis dynamics, with a…

神经元与认知 · 定量生物学 2025-06-10 Sajedeh Sarmastani , Maliheh Ghodrat , Yousef Jamali

It is frequently hypothesized that cortical networks operate close to a critical point. Advantages of criticality include rich dynamics well-suited for computation and critical slowing down, which may offer a mechanism for dynamic memory.…

无序系统与神经网络 · 物理学 2024-01-30 Michael Dick , Alexander van Meegen , Moritz Helias

Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the…

无序系统与神经网络 · 物理学 2019-12-04 Mahdi Zarepour , Juan I. Perotti , Orlando V. Billoni , Dante R. Chialvo , Sergio A. Cannas

Complex systems of many interacting components exhibit patterns of recurrence and emergent behaviors in their time evolution that can be understood from a new perspective of physics of information dynamics, modeled after one such system,…

无序系统与神经网络 · 物理学 2026-01-27 Uday S. Goteti , Shane A. Cybart , Robert C. Dynes

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

统计力学 · 物理学 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

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…

高能物理 - 格点 · 物理学 2009-10-22 I. Campos , A. Tarancon

Cognitive function is driven by dynamic interactions between large-scale neural circuits or networks, enabling behavior. Fundamental principles constraining these dynamic network processes have remained elusive. Here we use network control…

神经元与认知 · 定量生物学 2015-10-28 Shi Gu , Fabio Pasqualetti , Matthew Cieslak , Scott T. Grafton , Danielle S. Bassett

Thermodynamic criticality describes emergent phenomena in a wide variety of complex systems. In the mammalian brain, the complex dynamics that spontaneously emerge from neuronal interactions have been characterized as neuronal avalanches, a…

生物物理 · 物理学 2013-04-16 Shan Yu , Hongdian Yang , Oren Shriki , Dietmar Plenz

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

统计力学 · 物理学 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Changing a circuit dynamically, without actually changing the hardware itself, is called reconfiguration, and is of great importance due to its manifold technological applications. Circuit reconfiguration appears to be a feature of the…

统计力学 · 物理学 2024-05-29 Marcelo O. Magnasco

When viewed at a certain coarse grain, the brain seems a relatively small dynamical system composed by a few dozen interacting areas, performing a number of stereotypical behaviors. It is known that, even relatively small dynamical systems…

神经元与认知 · 定量生物学 2015-06-26 Dante R. Chialvo

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…

无序系统与神经网络 · 物理学 2014-10-22 Maria Botcharova , Simon F. Farmer , Luc Berthouze

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…

无序系统与神经网络 · 物理学 2014-10-08 Matthias Rybarsch , Stefan Bornholdt