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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…

动力系统 · 数学 2015-03-17 Aushra Abouzeid , Bard Ermentrout

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

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

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

We study how threshold model neurons transfer temporal and interneuronal input correlations to correlations of spikes. We find that the low common input regime is governed by firing rate dependent spike correlations which are sensitive to…

神经元与认知 · 定量生物学 2013-05-29 Tatjana Tchumatchenko , Aleksey Malyshev , Theo Geisel , Maxim Volgushev , Fred Wolf

Many real oscillators are coupled to other oscillators and the coupling can affect the response of the oscillators to stimuli. We investigate phase response curves (PRCs) of coupled oscillators. The PRCs for two weakly coupled phase-locked…

神经元与认知 · 定量生物学 2009-11-13 Tae-Wook Ko , Bard Ermentrout

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…

适应与自组织系统 · 物理学 2019-12-24 Abolfazl Ziaeemehr , Mina Zarei , Aida Sheshbolouki

Phase response curve (PRC) is an extremely useful tool for studying the response of oscillatory systems, e.g. neurons, to sparse or weak stimulation. Here we develop a framework for studying the response to a series of pulses which are…

数据分析、统计与概率 · 物理学 2017-09-13 Vladimir Klinshov , Serhiy Yanchuk , Artur Stephan , Vladimir Nekorkin

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

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

We demonstrate that the phase response curve (PRC) can be reconstructed using a weighted spike-triggered average of an injected fluctuating input. The key idea is to choose the weight to be proportional to the magnitude of the fluctuation…

适应与自组织系统 · 物理学 2009-05-18 Kaiichiro Ota , Masaki Nomura , Toshio Aoyagi

The mechanisms and impact of correlated, or synchronous, firing among pairs and groups of neurons is under intense investigation throughout the nervous system. A ubiquitous circuit feature that can give rise to such correlations consists of…

神经元与认知 · 定量生物学 2015-03-19 Andrea K. Barreiro , Evan L. Thilo , Eric Shea-Brown

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

神经元与认知 · 定量生物学 2017-06-28 Taskin Deniz , Stefan Rotter

The phase sensitivity curve or phase response curve (PRC) quantifies the oscillator's reaction to stimulation at a specific phase and is a primary characteristic of a self-sustained oscillatory unit. Knowledge of this curve yields a phase…

适应与自组织系统 · 物理学 2022-12-08 Rok Cestnik , Erik T. K. Mau , Michael Rosenblum

In this paper, we introduce and systematically study, in terms of phase response curves (PRC), the effect of a dual pulse excitation on the dynamics of an autonomous oscillator. Specifically, we test the deviations from a linear summation…

适应与自组织系统 · 物理学 2015-06-16 Giri P. Krishnan , Maxim Bazhenov , Arkady Pikovsky

Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

神经元与认知 · 定量生物学 2016-10-31 Eugenio Urdapilleta

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…

定量方法 · 定量生物学 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

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…

神经元与认知 · 定量生物学 2007-09-26 G. Bard Ermentrout , Roberto F. Galán Nathaniel N. Urban

Correlations in spike-train ensembles can seriously impair the encoding of information by their spatio-temporal structure. An inevitable source of correlation in finite neural networks is common presynaptic input to pairs of neurons. Recent…

神经元与认知 · 定量生物学 2015-06-04 Tom Tetzlaff , Moritz Helias , Gaute T. Einevoll , Markus Diesmann
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