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Related papers: Patterns of interval correlations in neural oscill…

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We study the impact of noise on a neural population rate model of up and down states. Up and down states are typically observed in neuronal networks as a slow oscillation, where the population switches between high and low firing rates…

Neurons and Cognition · Quantitative Biology 2015-04-24 Zachary McCleney , Zachary P. Kilpatrick

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

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

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

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

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

How natural communication sounds are spatially represented across the inferior colliculus, the main center of convergence for auditory information in the midbrain, is not known. The neural representation of the acoustic stimuli results from…

Neurons and Cognition · Quantitative Biology 2016-07-01 Dominika Lyzwa , Florentin Wörgötter

We address a question on the effect of common stochastic inputs on the correlation of the spikes trains of two neurons when they are possibly nonidentical and are coupled through direct connections. We show that the change in the…

Neurons and Cognition · Quantitative Biology 2013-04-24 E. Bolhasani , Y. Azizi , A. Valizadeh

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences…

Neurons and Cognition · Quantitative Biology 2016-10-12 Jose A. Reinoso , M. C. Torrent , Cristina Masoller

Pairs of neurons in brain networks often share much of the input they receive from other neurons. Due to essential non-linearities of neuronal dynamics, the consequences for the correlation of the output spike trains are not well understood…

Biological Physics · Physics 2017-02-08 Taskin Deniz , Stefan Rotter

One of the fundamental characteristics of a nonlinear system is how it transfers correlations in its inputs to correlations in its outputs. This is particularly important in the nervous system, where correlations between spiking neurons are…

Neurons and Cognition · Quantitative Biology 2013-05-29 Eric Shea-Brown , Kresimir Josic , Jaime de la Rocha , Brent Doiron

Many systems are modulated by unknown slow processes. This hinders analysis in highly non-linear systems, such as excitable systems. We show that for such systems, if the input matches the sparse `spiky' nature of the output, the spiking…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

Stochastic integrate-and-fire (IF) neuron models have found widespread applications in computational neuroscience. Here we present results on the white-noise-driven perfect, leaky, and quadratic IF models, focusing on the spectral…

Neurons and Cognition · Quantitative Biology 2015-05-14 Rafael D. Vilela , Benjamin Lindner

Neural noise sets a limit to information transmission in sensory systems. In several areas, the spiking response (to a repeated stimulus) has shown a higher degree of regularity than predicted by a Poisson process. However, a simple model…

Neurons and Cognition · Quantitative Biology 2018-01-08 Ulisse Ferrari , Stephane Deny , Olivier Marre , Thierry Mora

Using a stochastic nonlinear phase oscillator model, we study the effect of event-triggered feedback on the statistics of interevent intervals. Events are associated with the entering of a new cycle. The feedback is modeled by an…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Justus A. Kromer , Benjamin Lindner , Lutz Schimansky-Geier

The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next…

Adaptation and Self-Organizing Systems · Physics 2019-12-24 Abolfazl Ziaeemehr , Mina Zarei , Aida Sheshbolouki

The phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells…

Quantitative Methods · Quantitative Biology 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

We investigate here various properties of the responses of excitable systems subject to periodic forcing and noise. While the properties of intrinsic oscillators, subject to added periodic signals, are well understood, much less is known…

Neurons and Cognition · Quantitative Biology 2025-10-22 Jonathan E. Rubin , Justyna Signerska-Rynkowska , Jonathan Touboul

Brain rhythms emerge as a result of synchronization among interconnected spiking neurons. Key properties of such rhythms can be gleaned from the phase-resetting curve (PRC). Inferring the macroscopic PRC and developing a systematic phase…

Neurons and Cognition · Quantitative Biology 2022-10-12 Gregory Dumont , Alberto Pérez-Cervera , Boris Gutkin

Recurrently connected neuron populations play key roles in sensory perception and memory storage across various brain regions. While these populations are often assumed to encode information through firing rates, this method becomes…

Neurons and Cognition · Quantitative Biology 2025-09-05 Mauricio Girardi-Schappo , Leonard Maler , André Longtin