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A neural correlate of parametric working memory is a stimulus specific rise in neuron firing rate that persists long after the stimulus is removed. Network models with local excitation and broad inhibition support persistent neural…

Neurons and Cognition · Quantitative Biology 2013-10-15 Zachary P. Kilpatrick , Bard Ermentrout , Brent Doiron

Chaotic synchronization is generally extremely sensitive to the presence of noise and other inference in the channel. Is this sensitivity a fundamental property of chaotic synchronization or is it related to the choice of synchronization…

Chaotic Dynamics · Physics 2007-05-23 A. S. Dmitriev , M. Hasler , G. Kassian , A. D. Khilinsky

Hair cells of the auditory and vestibular systems display astonishing sensitivity, frequency selectivity, and temporal resolution to external signals. These specialized cells utilize an internal active amplifier to achieve highly sensitive…

Neurons and Cognition · Quantitative Biology 2021-03-31 Justin Faber , Hancheng Li , Dolores Bozovic

The full dynamics of a synchronous recurrent neural network model with Ising binary units and a Hebbian learning rule with a finite self-interaction is studied in order to determine the stability to synaptic and stochastic noise of…

Disordered Systems and Neural Networks · Physics 2009-11-13 F. L. Metz , W. K. Theumann

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

We study the influence of correlations among discrete stochastic excitatory or inhibitory inputs on the response of the FitzHugh-Nagumo neuron model. For any level of correlation the emitted signal exhibits at some finite noise intensity a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Kreuz , Stefano Luccioli , Alessandro Torcini

Synchronized oscillations in networks of inhibitory and excitatory coupled bursting neurons are common in a variety of neural systems from central pattern generators to human brain circuits. One example of the latter is the subcortical…

Neurons and Cognition · Quantitative Biology 2011-09-21 Choongseok Park , Leonid L. Rubchinsky

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

Networks of fast-spiking interneurons are crucial for the generation of neural oscillations in the brain. Here we study the synchronous behavior of interneuronal networks that are coupled by delayed inhibitory and fast electrical synapses.…

Neurons and Cognition · Quantitative Biology 2012-06-22 Daqing Guo , Qingyun Wang , Matjaz Perc

Noise induced excitability is studied in type I and II Morris-Lecar neurons subject to constant sub threshold input, where fluctuations arise from sodium and potassium ion channels. Ion channels open and close randomly, creating current…

Cell Behavior · Quantitative Biology 2014-09-08 Jay Newby

We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Damian H. Zanette

Biological systems rely on robust internal information processing: Survival depends on highly reproducible dynamics of regulatory processes. Biological information processing elements, however, are intrinsically noisy (genetic switches,…

Molecular Networks · Quantitative Biology 2009-11-10 Konstantin Klemm , Stefan Bornholdt

We consider a model of a square-wave bursting neuron residing in the regime of tonic spiking. Upon introduction of small stochastic forcing, the model generates irregular bursting. The statistical properties of the emergent bursting…

Adaptation and Self-Organizing Systems · Physics 2008-11-11 Pawel Hitczenko , Georgi S. Medvedev

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

We consider a stochastic version of an excitable system based on the Morris-Lecar model of a neuron, in which the noise originates from stochastic Sodium and Potassium ion channels opening and closing. One can analyze neural excitability in…

Neurons and Cognition · Quantitative Biology 2015-06-15 Jay M. Newby , Paul C. Bressloff , James P. Keener

Although stochastic resonance phenomena are ubiquitous across various complex systems, the influence mechanisms of higher-order interactions remain elusive. Here, we address this gap by investigating stochastic resonance in coupled phase…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

Neurons and Cognition · Quantitative Biology 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

Stochastic and coherence resonances appear in nonlinear systems subjected to an external source of noise and are characterized by a maximum response at the optimal value of the noise intensity. This paper shows experimentally that it is…

Condensed Matter · Physics 2016-08-31 O. Calvo , I. Gomes , C. R. Mirasso , R. Toral

We provide a simple and realistic model to study memory effects in a lossy bosonic quantum channel over arbitrary number of uses. The noise correlation among different uses is introduced by contiguous modes interactions which results in an…

Quantum Physics · Physics 2009-11-13 O. V. Pilyavets , V. G. Zborovskii , S. Mancini

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

Chaotic Dynamics · Physics 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan
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