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Maximum Entropy models can be inferred from large data-sets to uncover how collective dynamics emerge from local interactions. Here, such models are employed to investigate neurons recorded by multielectrode arrays in the human and monkey…

Neurons and Cognition · Quantitative Biology 2018-07-11 Trang-Anh Nghiem , Bartosz Telenczuk , Olivier Marre , Alain Destexhe , Ulisse Ferrari

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

Neurons and Cognition · Quantitative Biology 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

We study a rate-model neural network composed of excitatory and inhibitory neurons in which neuronal input-output functions are power laws with a power greater than 1, as observed in primary visual cortex. This supralinear input-output…

Neurons and Cognition · Quantitative Biology 2015-03-20 Yashar Ahmadian , Daniel B. Rubin , Kenneth D. Miller

Neural network models comprising elements which have exclusively excitatory or inhibitory synapses are capable of a wide range of dynamic behavior, including chaos. In this paper, a simple excitatory-inhibitory neural pair, which forms the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sitabhra Sinha , Jayanta Basak

Many studies have shown that the excitation and inhibition received by cortical neurons remain roughly balanced across many conditions. A key question for understanding the dynamical regime of cortex is the nature of this balancing.…

Neurons and Cognition · Quantitative Biology 2019-08-29 Yashar Ahmadian , Kenneth D. Miller

We demonstrate deterministic extensive chaos in the dynamics of large sparse networks of theta neurons in the balanced state. The analysis is based on numerically exact calculations of the full spectrum of Lyapunov exponents, the entropy…

Disordered Systems and Neural Networks · Physics 2011-01-14 Michael Monteforte , Fred Wolf

The pairwise maximum entropy model, also known as the Ising model, has been widely used to analyze the collective activity of neurons. However, controversy persists in the literature about seemingly inconsistent findings, whose significance…

Disordered Systems and Neural Networks · Physics 2019-03-13 Cristian Zanoci , Nima Dehghani , Max Tegmark

We investigate the synchronization properties between two excitatory coupled neurons in the presence of an inhibitory loop mediated by an interneuron. Dynamical inhibition together with noise independently applied to each neuron provide…

Neurons and Cognition · Quantitative Biology 2016-11-23 Fernanda S. Matias , Leonardo L. Gollo , Pedro V. Carelli , Claudio R. Mirasso , Mauro Copelli

Neuronal avalanches, measured in vitro and in vivo, exhibit a robust critical behaviour. Their temporal organization hides the presence of correlations. Here we present experimental measurements of the waiting time distribution between…

Neurons and Cognition · Quantitative Biology 2012-04-30 F. Lombardi , H. J. Herrmann , C. Perrone-Capano , D. Plenz , L. de Arcangelis

This paper targets the problem of encoding information into binary cell assemblies. Spiking neural networks and k-winners-take-all models are two common approaches, but the first is hard to use for information processing and the second is…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Viacheslav Osaulenko , Danylo Ulianych

Persistent activity in neuronal populations has been shown to represent the spatial position of remembered stimuli. Networks that support bump attractors are often used to model such persistent activity. Such models usually exhibit…

Neurons and Cognition · Quantitative Biology 2013-08-26 Sam Carroll , Kresimir Josic , Zachary P Kilpatrick

Neuromorphic applications emulate the processing performed by the brain by using spikes as inputs instead of time-varying analog stimuli. Therefore, these time-varying stimuli have to be encoded into spikes, which can induce important…

Neural and Evolutionary Computing · Computer Science 2024-12-30 Ahmad El Ferdaoussi , Eric Plourde , Jean Rouat

The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate…

Neurons and Cognition · Quantitative Biology 2018-02-14 F. S. Borges , E. L. Lameu , K. C. Iarosz , P. R. Protachevicz , I. L. Caldas , R. L. Viana , E. E. N. Macau , A. M. Batista , M. S. Baptista

Advances in neural recording methods enable sampling from populations of thousands of neurons during the performance of behavioral tasks, raising the question of how recorded activity relates to the theoretical models of computations…

Neurons and Cognition · Quantitative Biology 2020-07-01 Audrey J. Sederberg , Ilya Nemenman

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.…

Neurons and Cognition · Quantitative Biology 2017-08-16 Pedro A. M. Mediano , Murray Shanahan

Neural circuits exhibit remarkable computational flexibility, enabling adaptive responses to noisy and ever-changing environmental cues. A fundamental question in neuroscience concerns how a wide range of behaviors can emerge from a…

Statistical Mechanics · Physics 2025-09-18 Giacomo Barzon , Daniel M. Busiello , Giorgio Nicoletti

In the brain, information is encoded, transmitted and used to inform behaviour at the level of timing of action potentials distributed over population of neurons. To implement neural-like systems in silico, to emulate neural function, and…

Neural and Evolutionary Computing · Computer Science 2022-12-09 Stefano Panzeri , Ella Janotte , Alejandro Pequeño-Zurro , Jacopo Bonato , Chiara Bartolozzi

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Excitatory and inhibitory nonlinear noisy leaky integrate and fire models are often used to describe neural networks. Recently, new mathematical results have provided a better understanding of them. It has been proved that a fully…

Analysis of PDEs · Mathematics 2016-09-07 María J. Cáceres , Ricarda Schneider

Neural circuits exhibit complex activity patterns, both spontaneously and evoked by external stimuli. Information encoding and learning in neural circuits depend on how well time-varying stimuli can control spontaneous network activity. We…

Neurons and Cognition · Quantitative Biology 2023-01-11 Rainer Engelken , Alessandro Ingrosso , Ramin Khajeh , Sven Goedeke , L. F. Abbott