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A stochastic model of excitatory and inhibitory interactions which bears universality traits is introduced and studied. The endogenous component of noise, stemming from finite size corrections, drives robust inter-nodes correlations, that…

Disordered Systems and Neural Networks · Physics 2017-08-16 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

Collective chaos is shown to emerge, via a period-doubling cascade, from quasiperiodic partial synchronization in a population of identical inhibitory neurons with delayed global coupling. This system is thoroughly investigated by means of…

Chaotic Dynamics · Physics 2016-06-09 Diego Pazó , Ernest Montbrió

Balance of excitation and inhibition is a fundamental feature of in vivo network activity and is important for its computations. However, its presence in the neocortex of higher mammals is not well established. We investigated the dynamics…

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

Biological Physics · Physics 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid

Understanding the functional connectivity of the brain has become a major goal of neuroscience. In many situatons, the relative phase difference, together with coherence patterns, have been employed to infer the direction of the information…

Neural coding is a key problem in neuroscience, which can promote people's understanding of the mechanism that brain processes information. Among the classical theories of neural coding, the population rate coding has been studied widely in…

Neurons and Cognition · Quantitative Biology 2019-08-13 Hao Si , Xiaojuan Sun

We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory neurons. We focus on the factors that determine the level…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. A. White , C. C. Chow , J. Ritt , C. Soto-Trevino , N. Kopell

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Nishant Malik , B. Ashok , J. Balakrishnan

The phenomenon of high-order ($p/q$) synchronization, induced by \textit{two different} frequencies in the system, is well-known and studied extensively in forced oscillators including neurons and to a lesser extent in coupled oscillators.…

Adaptation and Self-Organizing Systems · Physics 2025-01-08 Abhay , Gaurav Dar

Experimental and numerical results suggest that the brain can be viewed as a system acting close to a critical point, as confirmed by scale-free distributions of relevant quantities in a variety of different systems and models. Less…

Neurons and Cognition · Quantitative Biology 2020-11-25 Dario Raimo , Alessandro Sarracino , Lucilla de Arcangelis

Multiple interlinked positive feedback loops shape the stimulus responses of various biochemical systems, such as the cell cycle or intracellular calcium release. Recent studies with simplified models have identified two advantages of…

Molecular Networks · Quantitative Biology 2012-08-31 Paul Smolen , Douglas A. Baxter , John H. Byrne

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

Statistical Mechanics · Physics 2026-05-20 Benjamin Sorkin , Thomas A. Witten

Oscillatory activity in auditory cortex is thought to play a central role in auditory and speech processing by synchronizing neural rhythms to external acoustic features of the speech stream. To support this function, cortical oscillators…

Neurons and Cognition · Quantitative Biology 2026-05-11 Yangyang Wang , Benjamin R. Pittman-Polletta

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

We observe and study a self-organized phenomenon whereby the activity in a network of spiking neurons spontaneously terminates. We consider different types of populations, consisting of bistable model neurons connected electrically by gap…

Disordered Systems and Neural Networks · Physics 2018-11-22 Muhammet Uzuntarla , Joaquin J. Torres , Ali Çalım , Ernest Barreto

To gain insight into the neural events responsible for visual perception of static and dynamic optical patterns, we study how neural activation spreads in arrays of inhibition-stabilized neural networks with nearest-neighbor coupling. The…

Neurons and Cognition · Quantitative Biology 2016-09-02 Sergey Savel'ev , Sergei Gepshtein

We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay…

Neurons and Cognition · Quantitative Biology 2022-10-19 Matheus Hansen , Paulo R. Protachevicz , Kelly C. Iarosz , Ibere L. Caldas , Antonio M. Batista , Elbert E. N. Macau

This paper introduces a rate-based nonlinear neural network in which excitatory (E) neurons receive feedforward excitation from sensory (S) neurons, and inhibit each other through disynaptic pathways mediated by inhibitory (I) interneurons.…

Neurons and Cognition · Quantitative Biology 2019-01-01 H. Sebastian Seung

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

Disordered Systems and Neural Networks · Physics 2007-05-23 N. Brunel , V. Hakim

We study the dynamical stability of pulse coupled networks of leaky integrate-and-fire neurons against infinitesimal and finite perturbations. In particular, we compare current versus fluctuations driven networks, the former (latter) is…

Disordered Systems and Neural Networks · Physics 2015-06-18 David Angulo-Garcia , Alessandro Torcini
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