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The relation between large-scale brain structure and function is an outstanding open problem in neuroscience. We approach this problem by studying the dynamical regime under which realistic spatio-temporal patterns of brain activity emerge…

Neurons and Cognition · Quantitative Biology 2014-05-27 Ariel Haimovici , Enzo Tagliazucchi , Pablo Balenzuela , Dante R. Chialvo

We review the recent proposal that the most fascinating brain properties are related to the fact that it always stays close to a second order phase transition. In such conditions, the collective of neuronal groups can reliably generate…

Disordered Systems and Neural Networks · Physics 2009-11-13 Dante R. Chialvo , Pablo Balenzuela , Daniel Fraiman

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

Stationarity of the constituents of the body and of its functionalities is a basic requirement for life, being equivalent to survival in first place. Assuming that the resting state activity of the brain serves essential functionalities,…

Neurons and Cognition · Quantitative Biology 2021-05-14 Claudius Gros

Criticality is hypothesized as a physical mechanism underlying efficient transitions between cortical states and remarkable information processing capacities in the brain. While considerable evidence generally supports this hypothesis,…

Neurons and Cognition · Quantitative Biology 2023-06-12 Yang Tian , Zeren Tan , Hedong Hou , Guoqi Li , Aohua Cheng , Yike Qiu , Kangyu Weng , Chun Chen , Pei Sun

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

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

Self-organized bistability (SOB) stands as a critical behavior for the systems delicately adjusting themselves to the brink of bistability, characterized by a first-order transition. Its essence lies in the inherent ability of the system to…

Adaptation and Self-Organizing Systems · Physics 2024-01-08 Md Sayeed Anwar , Nikita Frolov , Alexander E. Hramov , Dibakar Ghosh

Neurons in the brain communicate with spikes, which are discrete events in time and value. Functional network models often employ rate units that are continuously coupled by analog signals. Is there a qualitative difference implied by these…

Disordered Systems and Neural Networks · Physics 2021-07-20 Christian Keup , Tobias Kühn , David Dahmen , Moritz Helias

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Deep artificial neural networks have surpassed human-level performance across a diverse array of complex learning tasks, establishing themselves as indispensable tools in both social applications and scientific research. Despite these…

Disordered Systems and Neural Networks · Physics 2025-09-03 Chuanbo Liu , Jin Wang

The brain is in a state of perpetual reverberant neural activity, even in the absence of specific tasks or stimuli. Shedding light on the origin and functional significance of such a dynamical state is essential to understanding how the…

Statistical Mechanics · Physics 2022-07-08 Guillermo B. Morales , Serena Di Santo , Miguel A. Munoz

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

Living systems operate in a critical dynamical regime -- between order and chaos -- where they are both resilient to perturbation, and flexible enough to evolve. To characterize such critical dynamics, the established 'structural theory' of…

Molecular Networks · Quantitative Biology 2022-01-28 Santosh Manicka , Manuel Marques-Pita , Luis M. Rocha

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

Statistical Mechanics · Physics 2018-08-01 Miguel A. Munoz

Extended numerical simulations of threshold models have been performed on a human brain network with N=836733 connected nodes available from the Open Connectome project. While in case of simple threshold models a sharp discontinuous phase…

Disordered Systems and Neural Networks · Physics 2016-12-28 Géza Ódor

The brain criticality hypothesis has largely only characterized brain dynamics in terms of their self-similarity, although experimental evidence suggests that the brain exhibits significant multifractality. To understand how multifractality…

Disordered Systems and Neural Networks · Physics 2026-02-03 Merlin Dumeur , Sheng H. Wang , J. Matias Palva , Philippe Ciuciu

Traditional neural networks, while powerful, rely on biologically implausible learning mechanisms such as global backpropagation. This paper introduces the Structurally Adaptive Predictive Inference Network (SAPIN), a novel computational…

Neural and Evolutionary Computing · Computer Science 2026-02-11 Brennen A. Hill

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate…

Statistical Mechanics · Physics 2011-04-12 Simon F. Norrelykke , Per Bak
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