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Synchronized neural spiking is associated with many cognitive functions and thus, merits study for its own sake. The analysis of neural synchronization naturally leads to the study of repetitive spiking and consequently to the analysis of…

神经元与认知 · 定量生物学 2017-07-19 Youngmin Park , Stewart Heitmann , G. Bard Ermentrout

The phase-resetting curve (PRC) describes the response of a neural oscillator to small perturbations in membrane potential. Its usefulness for predicting the dynamics of weakly coupled deterministic networks has been well characterized.…

动力系统 · 数学 2015-05-13 Aushra Abouzeid , Bard Ermentrout

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…

神经元与认知 · 定量生物学 2022-10-12 Gregory Dumont , Alberto Pérez-Cervera , Boris Gutkin

We examine the effect of the phase-resetting curve (PRC) on the transfer of correlated input signals into correlated output spikes in a class of neural models receiving noisy, super-threshold stimulation. We use linear response theory to…

神经元与认知 · 定量生物学 2015-05-13 Andrea K. Barreiro , Eric Shea-Brown , Evan L. Thilo

The phase-response curve (PRC) is an important tool to determine the excitability type of single neurons which reveals consequences for their synchronizing properties. We review five methods to compute the PRC from both model data and…

定量方法 · 定量生物学 2010-03-29 Benjamin Torben-Nielsen , Marylka Uusisaari , Klaus M. Stiefel

At the level of individual neurons, various coding properties can be inferred from the input-output relationship of a cell. For small inputs, this relation is captured by the phase-response curve (PRC), which measures the effect of a small…

神经元与认知 · 定量生物学 2026-01-14 Janina Hesse , Susanne Schreiber

Regular firing neurons can be seen as oscillators. The phase-response curve (PRC) describes how such neurons will respond to small excitatory perturbations. Knowledge of the PRC is important as it is associated to the excitability type of…

神经元与认知 · 定量生物学 2010-01-05 Benjamin Torben-Nielsen , Marylka Uusisaari , Klaus M. Stiefel

In this work we study the synchronization of Kuramoto oscillators driven by external forces in complex modular networks. The motivation is the neuronal dynamics that takes place during information processing in the neural cortex. The neuron…

适应与自组织系统 · 物理学 2020-04-02 Carolina Arruda Moreira

The synchronization of different $\gamma$-rhythms arising in different brain areas has been implicated in various cognitive functions. Here, we focus on the effect of the ubiquitous neuronal heterogeneity on the synchronization of PING…

神经元与认知 · 定量生物学 2021-09-15 Xize Xu , Hermann Riecke

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

神经元与认知 · 定量生物学 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

Author summary: Synchronization of neuronal spiking in the brain is related to cognitive functions, such as perception, attention, and memory. It is therefore important to determine which properties of neurons influence their collective…

神经元与认知 · 定量生物学 2013-11-06 Josef Ladenbauer , Moritz Augustin , LieJune Shiau , Klaus Obermayer

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

Motifs are patterns of subgraphs of complex networks. We studied the impact of such patterns of connectivity on the level of correlated, or synchronized, spiking activity among pairs of cells in a recurrent network model of integrate and…

神经元与认知 · 定量生物学 2015-06-05 Yu Hu , James Trousdale , Kresimir Josic , Eric Shea-Brown

Spike time response curves (STRC's) are used to study the influence of synaptic stimuli on the firing times of a neuron oscillator without the assumption of weak coupling. They allow us to approximate the dynamics of synchronous state in…

神经元与认知 · 定量生物学 2013-04-24 Sachin S. Talathi , Dong-Uk Hwang , Abraham Miliotis , Paul R. Carney , William L. Ditto

Neural firing is often subject to negative feedback by adaptation currents. These currents can induce strong correlations among the time intervals between spikes. Here we study analytically the interval correlations of a broad class of…

神经元与认知 · 定量生物学 2017-04-27 Tilo Schwalger , Benjamin Lindner

Anticipated synchronization (AS) is a counter intuitive behavior that has been observed in several systems. When AS establishes in a sender-receiver configuration, the latter can predict the future dynamics of the former for certain…

神经元与认知 · 定量生物学 2017-05-31 Fernanda S. Matias , Pedro V. Carelli , Claudio R. Mirasso , Mauro Copelli

In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity…

适应与自组织系统 · 物理学 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

神经元与认知 · 定量生物学 2015-01-05 Netta Haroush , Shimon Marom

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

生物物理 · 物理学 2023-11-16 Bruno R. R. Boaretto

Networks of excitatory and inhibitory (EI) neurons form a canonical circuit in the brain. Seminal theoretical results on dynamics of such networks are based on the assumption that synaptic strengths depend on the type of neurons they…

神经元与认知 · 定量生物学 2025-03-18 Yuxiu Shao , David Dahmen , Stefano Recanatesi , Eric Shea-Brown , Srdjan Ostojic
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