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The unique dynamical features of the critical state endow the brain with properties which are fundamental for adaptive behavior. This proposal, put forward with Per Bak several years ago, is now supported by a wide body of empirical…

Neurons and Cognition · Quantitative Biology 2011-03-15 Enzo Tagliazucchi , Dante R. Chialvo

Recent experimental observations have supported the hypothesis that the cerebral cortex operates in a dynamical regime near criticality, where the neuronal network exhibits a mixture of ordered and disordered patterns. However, A…

Neurons and Cognition · Quantitative Biology 2023-09-08 Longbin Zeng , Fengjian Feng , Wenlian Lu

Objective: Brain is a fantastic organ that helps creature adapting to the environment. Network is the most essential structure of brain, but the capability of a simple network is still not very clear. In this study, we try to expound some…

Neurons and Cognition · Quantitative Biology 2019-11-05 Xiang Zou , Lie Yao , Donghua Zhao , Liang Chen , Ying Mao

Our goal is to develop a design framework for multifunctional mechanical metamaterials that can tune their rigidity while optimizing other desired properties. Towards this goal, we first demonstrate that underconstrained central force…

Soft Condensed Matter · Physics 2024-07-22 Tyler Hain , Chris Santangelo , M. Lisa Manning

Various functions of a network of excitable units can be enhanced if the network is in the `critical regime', where excitations are, on average, neither damped nor amplified. An important question is how can such networks self-organize to…

Disordered Systems and Neural Networks · Physics 2020-02-19 Yogesh S. Virkar , Juan G. Restrepo , Woodrow L. Shew , Edward Ott

Random Threshold Networks (RTNs) are an idealized model of diluted, non symmetric spin glasses, neural networks or gene regulatory networks. RTNs also serve as an interesting general example of any coordinated causal system. Here we study…

Quantitative Methods · Quantitative Biology 2009-01-14 M. Andrecut , D. Foster , H. Carteret , S. A. Kauffman

Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of…

Biological Physics · Physics 2016-06-22 A. Sharma , A. J. Licup , R. Rens , M. Sheinman , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

I review the concept of self-organized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and time scales. Several exact results are…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

A bump attractor network is a model that implements a competitive neuronal process emerging from a spike pattern related to an input source. Since the bump network could behave in many ways, this paper explores some critical limits of the…

Neural and Evolutionary Computing · Computer Science 2020-03-31 Alberto Arturo Vergani , Christian Robert Huyck

The critical behavior of many physical systems involves two competing $n^{}_1-$ and $n^{}_2-$component order-parameters, ${\bf S}^{}_1$ and ${\bf S}^{}_2$, respectively, with $n=n^{}_1+n^{}_2$. Varying an external control parameter $g$,…

Statistical Mechanics · Physics 2022-06-22 A. Aharony , O. Entin-Wohlman , A. Kudlis

Superintelligence is commonly envisioned as a quantitative extrapolation of human cognitive abilities driven by scale and computational power. Here we show that qualitative transitions in intelligence instead arise as dynamical phase…

Biological Physics · Physics 2026-02-10 Byung Gyu Chae

Accumulating evidences show that the cerebral cortex is operating near a critical state featured by power-law size distribution of neural avalanche activities, yet evidence of this critical state in artificial neural networks mimicking the…

Neurons and Cognition · Quantitative Biology 2022-05-18 Liang Wang , Huawei Fan , Jinghua Xiao , Yueheng Lan , Xingang Wang

Readiness potential is a widely observed brain activity in several species including crayfish before the spontaneous behavioral initiation. However, it is poorly understood how this spontaneous activity is generated. The hypothesis that…

Neurons and Cognition · Quantitative Biology 2024-08-05 Katsushi Kagaya , Tomoyuki Kubota , Kohei Nakajima

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

Many experimental results, both in-vivo and in-vitro, support the idea that the brain cortex operates near a critical point, and at the same time works as a reservoir of precise spatio-temporal patterns. However the mechanism at the basis…

Neurons and Cognition · Quantitative Biology 2019-06-14 S. Scarpetta , I. Apicella , L. Minati , A. de Candia

Experiments suggest that cerebral cortex gains several functional advantages by operating in a dynamical regime near the critical point of a phase transition. However, a long-standing criticism of this hypothesis is that critical dynamics…

Neurons and Cognition · Quantitative Biology 2020-09-30 Kathleen Finlinson , Woodrow L. Shew , Daniel B. Larremore , Juan G. Restrepo

Understanding the relationship between large-scale structural and functional brain networks remains a crucial issue in modern neuroscience. Recently, there has been growing interest in investigating the role of homeostatic plasticity…

Neurons and Cognition · Quantitative Biology 2018-10-25 Rodrigo P. Rocha , Loren Koçillari , Samir Suweis , Maurizio Corbetta , Amos Maritan

The brain is a nonlinear and highly Recurrent Neural Network (RNN). This RNN is surprisingly plastic and supports our astonishing ability to learn and execute complex tasks. However, learning is incredibly complicated due to the brain's…

Neural and Evolutionary Computing · Computer Science 2023-03-14 Mohammad Modiri

Human learning is a complex phenomenon requiring flexibility to adapt existing brain function and precision in selecting new neurophysiological activities to drive desired behavior. These two attributes -- flexibility and selection -- must…

Neurons and Cognition · Quantitative Biology 2013-06-28 Danielle S. Bassett , Nicholas F. Wymbs , Mason A. Porter , Peter J. Mucha , Jean M. Carlson , Scott T. Grafton

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

Statistical Mechanics · Physics 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo