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Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

Recurrent neural networks with balanced excitation and inhibition exhibit irregular asynchronous dynamics, which is fundamental for cortical computations. Classical balance mechanisms require strong external inputs to sustain finite firing…

Neurons and Cognition · Quantitative Biology 2025-10-21 David Angulo-Garcia , Alessandro Torcini

Neurons and networks in the cerebral cortex must operate reliably despite multiple sources of noise. To evaluate the impact of both input and output noise, we determine the robustness of single-neuron stimulus selective responses, as well…

Neurons and Cognition · Quantitative Biology 2018-01-24 Ran Rubin , L. F. Abbott , Haim Sompolinsky

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

Neurons and Cognition · Quantitative Biology 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

Large sparse circuits of spiking neurons exhibit a balanced state of highly irregular activity under a wide range of conditions. It occurs likewise in sparsely connected random networks that receive excitatory external inputs and recurrent…

Neurons and Cognition · Quantitative Biology 2013-08-16 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

Many biological neuronal networks exhibit highly variable spiking activity. Balanced networks offer a parsimonious model of this variability. In balanced networks, strong excitatory synaptic inputs are canceled by strong inhibitory inputs…

Neurons and Cognition · Quantitative Biology 2016-05-04 Ryan Pyle , Robert Rosenbaum

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

Dynamic excitatory-inhibitory (E-I) balance is a paradigmatic mechanism invoked to explain the irregular low firing activity observed in the cortex. However, we will show that the E-I balance can be at the origin of other regimes observable…

Neurons and Cognition · Quantitative Biology 2023-11-13 Hongjie Bi , Matteo Di Volo , Alessandro Torcini

We revisit the dynamics of a prototypical model of balanced activity in networks of spiking neutrons. A detailed investigation of the thermodynamic limit for fixed density of connections (massive coupling) shows that, when inhibition…

Adaptation and Self-Organizing Systems · Physics 2018-09-03 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

Strong inhibitory input to neurons, which occurs in balanced states of neural networks, increases synaptic current fluctuations. This has led to the assumption that inhibition contributes to the high spike-firing irregularity observed in…

Neurons and Cognition · Quantitative Biology 2021-02-19 Tomas Barta , Lubomir Kostal

Self-sustained activity in the brain is observed in the absence of external stimuli and contributes to signal propagation, neural coding, and dynamic stability. It also plays an important role in cognitive processes. In this work, by means…

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Excitation-inhibition (E-I) balance is ubiquitously observed in the cortex. Recent studies suggest an intriguing link between balance on fast timescales, tight balance, and efficient information coding with spikes. We further this…

Neurons and Cognition · Quantitative Biology 2021-05-04 Qianyi Li , Cengiz Pehlevan

Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

Recurrent networks of non-linear units display a variety of dynamical regimes depending on the structure of their synaptic connectivity. A particularly remarkable phenomenon is the appearance of strongly fluctuating, chaotic activity in…

Neurons and Cognition · Quantitative Biology 2017-05-10 Francesca Mastrogiuseppe , Srdjan Ostojic

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 study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

Neural and Evolutionary Computing · Computer Science 2007-05-23 H. Soula , G. Beslon , O. Mazet

The theory of Balanced Neural Networks is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. Roughly speaking, it entails that typical neurons receive many excitatory and inhibitory…

Probability · Mathematics 2025-05-27 James MacLaurin , Pedro Vilanova

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

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres
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