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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

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

无序系统与神经网络 · 物理学 2007-05-23 N. Brunel , V. Hakim

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 background activity of a cortical neural network is modeled by a homogeneous integrate-and-fire network with unreliable inhibitory synapses. Numerical and analytical calculations show that the network relaxes into a stationary state of…

无序系统与神经网络 · 物理学 2007-05-23 Wolfgang Kinzel

Negative serial correlations in single spike trains are an effective method to reduce the variability of spike counts. One of the factors contributing to the development of negative correlations between successive interspike intervals is…

神经元与认知 · 定量生物学 2011-10-04 Eugenio Urdapilleta

We investigate intercell interference cancellation (ICIC) with a practical downlink training and uplink channel state information (CSI) feedback model. The average downlink throughput for such a 2-cell network is derived. The user location…

信息论 · 计算机科学 2011-05-24 Jun Zhang , Jeffrey G. Andrews , Khaled B. Letaief

We study the spike statistics of neurons in a network with dynamically balanced excitation and inhibition. Our model, intended to represent a generic cortical column, comprises randomly connected excitatory and inhibitory leaky…

神经元与认知 · 定量生物学 2007-05-23 Alexander Lerchner , Cristina Ursta , John Hertz , Mandana Ahmadi , Pauline Ruffiot

Despite basic differences between Spiking Neural Networks (SNN) and Artificial Neural Networks (ANN), most research on SNNs involve adapting ANN-based methods for SNNs. Pruning (dropping connections) and quantization (reducing precision)…

神经与进化计算 · 计算机科学 2024-08-07 Dylan Adams , Magda Zajaczkowska , Ashiq Anjum , Andrea Soltoggio , Shirin Dora

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

In this paper, we study analytically the impact of an inhibitory autapse on neuronal activity. In order to do this, we formulate conditions on a set of non-adaptive spiking neuron models with delayed feedback inhibition, instead of…

神经元与认知 · 定量生物学 2022-10-13 Olha Shchur , Alexander Vidybida

The steady-state firing rate and firing-rate response of the leaky and exponential integrate-and-fire models receiving synaptic shot noise with excitatory and inhibitory reversal potentials is examined. For the particular case where the…

神经元与认知 · 定量生物学 2024-03-13 Magnus J E Richardson

The activity of neurons is correlated, and this correlation affects how the brain processes information. We study the neural circuit mechanisms of correlations by analyzing a network model characterized by strong and heterogeneous…

神经元与认知 · 定量生物学 2012-12-03 Alberto Bernacchia , Xiao-Jing Wang

Recent experiments suggest that inhibitory networks of interneurons can synchronize the neuronal discharge in in vitro hippocampal slices. Subsequent theoretical work has shown that strong synchronization by mutual inhibition is only…

统计力学 · 物理学 2007-05-23 P. H. E Tiesinga , Jorge V Jose

The instantaneous state of a neural network consists of both the degree of excitation of each neuron the network is composed of and positions of impulses in communication lines between the neurons. In neurophysiological experiments, the…

神经元与认知 · 定量生物学 2013-09-10 Kseniia Kravchuk , Alexander Vidybida

We report a transition from asynchronous to oscillatory behaviour in balanced inhibitory networks for class I and II neurons with instantaneous synapses. Collective oscillations emerge for sufficiently connected networks. Their origin is…

无序系统与神经网络 · 物理学 2019-02-12 Matteo di Volo , Alessandro Torcini

Variability in neural responses is an ubiquitous phenomenon in neurons, usually modeled with stochastic differential equations. In particular, stochastic integrate-and-fire models are widely used to simplify theoretical studies. The…

神经元与认知 · 定量生物学 2009-06-12 Eugenio Urdapilleta , Ines Samengo

We present two Bayesian procedures to infer the interactions and external currents in an assembly of stochastic integrate-and-fire neurons from the recording of their spiking activity. The first procedure is based on the exact calculation…

机器学习 · 统计学 2011-02-28 Remi Monasson , Simona Cocco

We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known within some \textit{finite} precision, we propose a model…

生物物理 · 物理学 2010-11-09 B. Cessac , T. Vieville

Biological neural networks can operate in qualitatively distinct dynamical regimes, and transitions between these regimes are thought to underlie changes in computation and behavior. The seminal work of Sompolinsky, Crisanti, and Sommers…

无序系统与神经网络 · 物理学 2026-05-15 Carles Martorell , Rubén Calvo , Alessia Annibale , Miguel A. Muñoz

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
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