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In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…

Most elementary behaviors such as moving the arm to grasp an object or walking into the next room to explore a museum evolve on the time scale of seconds; in contrast, neuronal action potentials occur on the time scale of a few…

Neurons and Cognition · Quantitative Biology 2018-08-17 Wulfram Gerstner , Marco Lehmann , Vasiliki Liakoni , Dane Corneil , Johanni Brea

Previous work showed that the collective activity of large neuronal networks can be tamed to remain near its critical point by a feedback control that maximizes the temporal correlations of the mean-field fluctuations. Since such…

Neurons and Cognition · Quantitative Biology 2023-03-29 Juliane T. Moraes , Eyisto J. Aguilar Trejo , Sabrina Camargo , Silvio C. Ferreira , Dante R. Chialvo

We introduce a model of generalized Hebbian learning and retrieval in oscillatory neural networks modeling cortical areas such as hippocampus and olfactory cortex. Recent experiments have shown that synaptic plasticity depends on spike…

Disordered Systems and Neural Networks · Physics 2007-05-23 Silvia Scarpetta , Zhaoping Li , John Hertz

Recent advancements in measurement techniques have resulted in an increasing amount of data on neural activities recorded in parallel, revealing largely heterogeneous correlation patterns across neurons. Yet, the mechanistic origin of this…

Disordered Systems and Neural Networks · Physics 2024-04-26 Moritz Layer , Moritz Helias , David Dahmen

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

A prominent hypothesis in neuroscience proposes that brains achieve optimal performance by operating near a critical point. However, this framework, which often assumes a universal critical point, fails to account for the extensive…

Neurons and Cognition · Quantitative Biology 2025-12-04 Kejian Wu , Dante R. Chialvo , Changsong Zhou , Lianchun Yu

Bayesian inference provides a principled framework for understanding brain function, while neural activity in the brain is inherently spike-based. This paper bridges these two perspectives by designing spiking neural networks that simulate…

Neurons and Cognition · Quantitative Biology 2026-01-01 Sepideh Adamiat , Wouter M. Kouw , Bert de Vries

Cognitive ageing seems to be a story of global degradation. As one ages there are a number of physical, chemical and biological changes that take place. Therefore it is logical to assume that the brain is no exception to this phenomenon.…

Adaptation and Self-Organizing Systems · Physics 2014-08-07 Sakyasingha Dasgupta

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

Neurons and Cognition · Quantitative Biology 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

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

This paper addresses the question of the brain's critical dynamics after an injury such as a stroke. It is hypothesized that the healthy brain operates near a phase transition (critical point), which provides optimal conditions for…

Neurons and Cognition · Quantitative Biology 2023-08-01 Jakub Janarek , Zbigniew Drogosz , Jacek Grela , Jeremi K. Ochab , Paweł Oświęcimka

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)…

Neurons and Cognition · Quantitative Biology 2025-12-23 Jacob T. Crosser , Braden A. W. Brinkman

Biological neural networks are notoriously hard to model due to their stochastic behavior and high dimensionality. We tackle this problem by constructing a dynamical model of both the expectations and covariances of the fractions of active…

Neurons and Cognition · Quantitative Biology 2025-02-25 Vincent Painchaud , Patrick Desrosiers , Nicolas Doyon

This paper focuses on boundary approximate controllability under positivity constraints of a wide range of infinite-dimensional control systems. We develop frequency domain controllability criteria. Firstly, we derive a controllability…

Optimization and Control · Mathematics 2023-01-18 Yassine El Gantouh

Recent observation for scale invariant neural avalanches in the brain have been discussed in details in the scientific literature. We point out, that these results do not necessarily imply that the properties of the underlying neural…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudius Gros , Dimitrije Markovic

Recent experimental results based on multi-electrode and imaging techniques have reinvigorated the idea that large neural networks operate near a critical point, between order and disorder. However, evidence for criticality has relied on…

Neurons and Cognition · Quantitative Biology 2015-03-05 Thierry Mora , Stéphane Deny , Olivier Marre

A growing body of evidence suggests that the structure of mitochondrial networks is poised near criticality, an intermediate regime lying in between order and disorder. Such description fits well with the idea that biological systems, in…

Biological Physics · Physics 2020-11-02 Nahuel Zamponi , Emiliano Zamponi , Sergio A Cannas , Dante R Chialvo

Massively parallel recordings of spiking activity in cortical networks show that covariances vary widely across pairs of neurons. Their low average is well understood, but an explanation for the wide distribution in relation to the static…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Markus Diesmann , Moritz Helias

We study the capacity of Hodgkin-Huxley neuron in a network to change temporarily or permanently their connections and behavior, the so called spike timing-dependent plasticity (STDP), as a function of their synchronous behavior. We…

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