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Synchronization is an important collective phenomenon in interacting oscillatory agents. Many functional features of the brain are related to synchronization of neurons. The type of synchronization transition that may occur (explosive vs.…

Disordered Systems and Neural Networks · Physics 2020-03-18 Mahsa Khoshkhou , Afshin Montakhab

Recordings from area V4 of monkeys have revealed that when the focus of attention is on a visual stimulus within the receptive field of a cortical neuron, two distinct changes can occur: The firing rate of the neuron can change and there…

Neurons and Cognition · Quantitative Biology 2007-05-23 Paul H. E. Tiesinga , Jean-Marc Fellous , Emilio Salinas , Jorge V. Jose , Terrence J. Sejnowski

In the absence of synaptic coupling, two or more neural oscillators may become synchronized by virtue of the statistical correlations in their noisy input streams. Recent work has shown that the degree of correlation transfer from input…

Dynamical Systems · Mathematics 2015-03-17 Aushra Abouzeid , Bard Ermentrout

The co-occurrence of action potentials of pairs of neurons within short time intervals is known since long. Such synchronous events can appear time-locked to the behavior of an animal and also theoretical considerations argue for a…

Neurons and Cognition · Quantitative Biology 2022-05-17 Moritz Helias , Tom Tetzlaff , Markus Diesmann

Correlated electrical activity in neurons is a prominent characteristic of cortical microcircuits. Despite a growing amount of evidence concerning both spike-count and subthreshold membrane potential pairwise correlations, little is known…

Neurons and Cognition · Quantitative Biology 2019-07-29 Daniele Linaro , Gabriel K. Ocker , Brent Doiron , Michele Giugliano

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

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

Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal…

Chaotic Dynamics · Physics 2015-02-16 Fabiano A. S. Ferrari , Ricardo L. Viana , Sérgio R. Lopes , Ruedi Stoop

We consider a stochastic model describing the spiking activity of a countable set of neurons spatially organized into a homogeneous tree of degree $d$, $d \geq 2$; the degree of a neuron is just the number of connections it has. Roughly,…

Probability · Mathematics 2022-05-17 A. M. B. Nascimento

Oscillations are a hallmark of neural population activity in various brain regions with a spectrum covering a wide range of frequencies. Within this spectrum gamma oscillations have received particular attention due to their ubiquitous…

Neurons and Cognition · Quantitative Biology 2020-01-22 Hongjie Bi , Marco Segneri , Matteo di Volo , Alessandro Torcini

Novel experimental techniques reveal the simultaneous activity of larger and larger numbers of neurons. As a result there is increasing interest in the structure of cooperative -- or correlated -- activity in neural populations, and in the…

Neurons and Cognition · Quantitative Biology 2015-05-30 James Trousdale , Yu Hu , Eric Shea-Brown , Krešimir Josić

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Electrical coupling between neurons is broadly present across brain areas and is typically assumed to synchronize network activity. However, intrinsic properties of the coupled cells can complicate this simple picture. Many cell types with…

Adaptation and Self-Organizing Systems · Physics 2018-01-19 Thomas Chartrand , Mark S. Goldman , Timothy J. Lewis

The result of computational operations performed at the single cell level are coded into sequences of action potentials (APs). In the cerebral cortex, due to its columnar organization, large number of neurons are involved in any individual…

Neurons and Cognition · Quantitative Biology 2007-05-23 B. Naundorf , T. Geisel , F. Wolf

We demonstrate that two key theoretical objects used widely in Computational Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike triggered average (STA) from statistical analysis, are closely related under a wide range…

Neurons and Cognition · Quantitative Biology 2007-09-26 G. Bard Ermentrout , Roberto F. Galán Nathaniel N. Urban

Spike-frequency adaptation (SFA) is a fundamental neuronal mechanism taking into account the fatigue due to spike emissions and the consequent reduction of the firing activity. We have studied the effect of this adaptation mechanism on the…

Disordered Systems and Neural Networks · Physics 2023-03-08 Alberto Ferrara , David Angulo-Garcia , Alessandro Torcini , Simona Olmi

Stimulus from the environment that guides behavior and informs decisions is encoded in the firing rates of neural populations. Each neuron in the populations, however, does not spike independently: spike events are correlated from cell to…

Neurons and Cognition · Quantitative Biology 2012-07-24 Nicholas Cain , Eric Shea-Brown

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire (LIF) neuron is studied. This current is characterized in terms of rates, auto and cross-correlations, and correlation time scale…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Moreno , J. de la Rocha , A. Renart , N. Parga

A classical view of neural coding relies on temporal firing synchrony among functional groups of neurons; however the underlying mechanism remains an enigma. Here we experimentally demonstrate a mechanism where time-lags among neuronal…

Neurons and Cognition · Quantitative Biology 2013-10-31 Roni Vardi , Amir Goldental , Shoshana Guberman , Alexander Kalmanovich , Hagar Marmari , Ido Kanter

In the classic view of cortical rhythms, the interaction between excitatory pyramidal neurons (E) and inhibitory parvalbumin neurons (I) has been shown to be sufficient to generate gamma and beta band rhythms. However, it is now clear that…

Neurons and Cognition · Quantitative Biology 2025-10-27 Arnab Dey Sarkar , Bard Ermentrout