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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

This work concerns the long-term dynamics of a spatiotemporal many-body deterministic model that exhibits emergence and self-organization, and which has been recently proposed as a new paradigm for Artificial Life. Collective structures…

Adaptation and Self-Organizing Systems · Physics 2023-10-19 Alessandro Scirè

Avalanches with power-law distributed size parameters have been observed in neuronal networks. This observation might be a manifestation of the self-organized criticality (SOC). Yet, the physiological mechanicsm of this behavior is…

Neurons and Cognition · Quantitative Biology 2017-05-24 Koray Çiftçi

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

Neurons and Cognition · Quantitative Biology 2011-09-23 Chun-Chung Chen , David Jasnow

The repertoire of neural activity patterns that a cortical network can produce constrains the network's ability to transfer and process information. Here, we measured activity patterns obtained from multi-site local field potential (LFP)…

Neurons and Cognition · Quantitative Biology 2010-12-17 Woodrow L. Shew , Hongdian Yang , Shan Yu , Rajarshi Roy , Dietmar Plenz

Networks of excitable nodes have recently attracted much attention particularly in regards to neuronal dynamics, where criticality has been argued to be a fundamental property. Refractory behavior, which limits the excitability of neurons…

Disordered Systems and Neural Networks · Physics 2018-10-22 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

In spiking neural networks an action potential could in principle trigger subsequent spikes in the neighbourhood of the initial neuron. A successful spike is that which trigger subsequent spikes giving rise to cascading behaviour within the…

Adaptation and Self-Organizing Systems · Physics 2015-08-03 Victor Hernandez-Urbina , Tom L. Underwood , J. Michael Herrmann

We study a neural network model of interacting stochastic discrete two--state cellular automata on a regular lattice. The system is externally tuned to a critical point which varies with the degree of stochasticity (or the effective…

Statistical Mechanics · Physics 2015-06-12 Kaustubh Manchanda , Avinash Chand Yadav , Ramakrishna Ramaswamy

Novel computing hardwares are necessary to keep up with today's increasing demand for data storage and processing power. In this research project, we turn to the brain for inspiration to develop novel computing substrates that are…

Neurons and Cognition · Quantitative Biology 2019-07-05 Kristine Heiney , Vibeke Devold Valderhaug , Ioanna Sandvig , Axel Sandvig , Gunnar Tufte , Hugo Lewi Hammer , Stefano Nichele

Neurons in the brain are wired into adaptive networks that exhibit a range of collective dynamics. Oscillations, for example, are paradigmatic synchronous patterns of neural activity with a defined temporal scale. Neuronal avalanches, in…

Neurons and Cognition · Quantitative Biology 2022-07-27 Fabrizio Lombardi , Selver Pepić , Oren Shriki , Gašper Tkačik , Daniele De Martino

The presence of self-organized criticality in biology is often evidenced by a power-law scaling of event size distributions, which can be measured by linear regression on logarithmic axes. We show here that such a procedure does not…

Adaptation and Self-Organizing Systems · Physics 2015-05-14 Jonathan Touboul , Alain Destexhe

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

We consider a neuronal levels model that exhibits critical avalanches satisfying power-law distribution. The model has recently explained a change in the scaling exponent from 3/2 to 5/4, accounting for a change in the drive condition from…

Statistical Mechanics · Physics 2022-09-07 Abdul Quadir , Haider Hasan Jafri , Avinash Chand Yadav

The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to…

Statistical Mechanics · Physics 2009-10-31 Y. Moreno , J. B. Gomez , A. F. Pacheco

We propose an analytically tractable neural connectivity model with power-law distributed synaptic strengths. When threshold neurons with biologically plausible number of incoming connections are considered, our model features a continuous…

Biological Physics · Physics 2020-07-15 Łukasz Kuśmierz , Shun Ogawa , Taro Toyoizumi

Information processing in complex systems is often found to be maximally efficient close to critical states associated with phase transitions. It is therefore conceivable that also neural information processing operates close to…

Neurons and Cognition · Quantitative Biology 2015-05-13 Christian Meisel , Thilo Gross

Synchrony is inevitable in many oscillating systems -- from the canonical alignment of two ticking grandfather clocks, to the mutual entrainment of beating flagella or spiking neurons. Yet both biological and manmade systems provide…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 William Gilpin

Empirical evidence of scaling behaviors in neuronal avalanches suggests that neuronal populations in the brain operate near criticality. Departure from scaling in neuronal avalanches has been used as a measure of distance to criticality and…

Neurons and Cognition · Quantitative Biology 2025-11-21 T. S. A. N. Simões , F. Lombardi , D. Plenz , H. J. Herrmann , L. de Arcangelis

The activity in the brain cortex remarkably shows a simultaneous presence of robust collective oscillations and neuronal avalanches, where intermittent bursts of pseudo-synchronous spiking are interspersed with long periods of quiescence.…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Max Contreras , Everton S. Medeiros , Anna Zakharova , Philipp Hövel , Igor Franović