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Unlike digital computers, the brain exhibits spontaneous activity even during complete rest, despite the evolutionary pressure for energy efficiency. Inspired by the critical brain hypothesis, which proposes that the brain operates…

神经元与认知 · 定量生物学 2025-07-15 Narumitsu Ikeda , Dai Akita , Hirokazu Takahashi

We investigate spontaneous critical dynamics of excitatory and inhibitory (EI) sparsely connected populations of spiking leaky integrate-and-fire neurons with conductance-based synapses. We use a bottom-up approach to derive a single neuron…

生物物理 · 物理学 2022-04-05 Masud Ehsani , Jürgen Jost

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…

适应与自组织系统 · 物理学 2015-08-03 Victor Hernandez-Urbina , Tom L. Underwood , J. Michael Herrmann

While information processing in complex systems can be described in abstract, general terms, there are cases in which the relation between these computations and the physical substrate of the underlying system is itself of interest.…

神经元与认知 · 定量生物学 2017-08-16 Pedro A. M. Mediano , Murray Shanahan

Slowly driven dissipative systems may evolve to a critical state where long periods of apparent equilibrium are punctuated by intermittent avalanches of activity. We present a self-organized critical model of punctuated equilibrium behavior…

凝聚态物理 · 物理学 2009-10-28 Stefan Boettcher , Maya Paczuski

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

神经元与认知 · 定量生物学 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

Recent physiological measurements have provided clear evidence about scale-free avalanche brain activity and EEG spectra, feeding the classical enigma of how such a chaotic system can ever learn or respond in a controlled and reproducible…

神经元与认知 · 定量生物学 2015-05-18 Lucilla de Arcangelis , Hans J. Herrmann

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

混沌动力学 · 物理学 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

Critical dynamics of cortical neurons have been intensively studied over the past decade. Neuronal avalanches provide the main experimental as well as theoretical tools to consider criticality in such systems. Experimental studies show that…

统计力学 · 物理学 2016-03-04 S. Amin Moosavi , Afshin Montakhab

Spiking Neural Network (SNN) is considered more biologically realistic and power-efficient as it imitates the fundamental mechanism of the human brain. Recently, backpropagation (BP) based SNN learning algorithms that utilize deep learning…

神经与进化计算 · 计算机科学 2022-10-11 Chengting Yu , Yangkai Du , Mufeng Chen , Aili Wang , Gaoang Wang , Erping Li

The model of the current paper is an extension of a previous publication, wherein we used the leaky integrate-and-fire model on a regular lattice with periodic boundary conditions, and introduced the temporal complexity as a genuine…

无序系统与神经网络 · 物理学 2016-12-14 Mohammad Dehghani Habibabadi , Marzieh Zare , Farhad Shahbazi , Javad Usefie-Mafahim , Paolo Grigolini

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…

适应与自组织系统 · 物理学 2021-06-16 William Gilpin

Scale-invariant avalanches -- with events of all sizes following power-law distributions -- are considered critical. Above the upper critical dimension of four, the mean-field solution with a robust $3/2$ size exponent describes the…

统计力学 · 物理学 2026-02-03 K. Duplat , A. Douin , O. Ramos

We study the scaling properties of avalanche activity in the two-dimensional Abelian sandpile model. Instead of the conventional avalanche size distribution, we analyze the site activity distribution, which measures how often a site…

统计力学 · 物理学 2025-10-14 Anubhav Ganguly

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

Allometric scaling laws, such as Kleiber's law for metabolic rate, highlight how efficiency emerges with size across living systems. The brain, with its characteristic sublinear scaling of activity, has long posed a puzzle: why do larger…

神经元与认知 · 定量生物学 2026-05-26 Tiago S. A. N. Simões , José S. Andrade , Hans J. Herrmann , Stefano Zapperi , Lucilla de Arcangelis

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

Epileptic seizures are characterized by abnormal and excessive neural activity, where cortical network dynamics seem to become unstable. However, most of the time, during seizure-free periods, cortex of epilepsy patients shows perfectly…

神经元与认知 · 定量生物学 2021-04-06 Annika Hagemann , Jens Wilting , Bita Samimizad , Florian Mormann , Viola Priesemann

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

统计力学 · 物理学 2023-03-01 Giorgio Nicoletti

Local anaxonic neurons with graded potential release are important ingredients of nervous systems, present in the olfactory bulb system of mammalians, in the human visual system, as well as in arthropods and nematodes. We develop a neuronal…

神经元与认知 · 定量生物学 2021-04-14 M. Rahimi-Majd , M. A. Seifi , L. de Arcangelis , M. N. Najafi