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Neural circuits exhibit complex activity patterns, both spontaneously and evoked by external stimuli. Information encoding and learning in neural circuits depend on how well time-varying stimuli can control spontaneous network activity. We…

神经元与认知 · 定量生物学 2023-01-11 Rainer Engelken , Alessandro Ingrosso , Ramin Khajeh , Sven Goedeke , L. F. Abbott

We examine whether a single biophysical cortical circuit model can explain both spiking and perceptual variability. We consider perceptual rivalry, which provides a window into intrinsic neural processing since neural activity in some brain…

神经元与认知 · 定量生物学 2018-11-20 Benjamin P Cohen , Carson C Chow , Shashaank Vattikuti

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

Firing rate fluctuations in neural populations are observed experimentally over multiple time scales, in single neurons, across trials when elicited by stimuli, and across populations. In this work, we examine how firing rate fluctuations…

神经元与认知 · 定量生物学 2026-05-15 Wilten Nicola , Sue Ann Campbell

An analytical description of the response properties of simple but realistic neuron models in the presence of noise is still lacking. We determine completely up to the second order the firing statistics of a single and a pair of leaky…

神经元与认知 · 定量生物学 2009-11-13 Ruben Moreno-Bote , Nestor Parga

The seemingly stochastic transient dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference. In vitro neurons, on the other hand, exhibit a highly deterministic…

神经元与认知 · 定量生物学 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

We investigate numerically the collective dynamical behavior of pulse-coupled non-leaky integrate-and-fire-neurons that are arranged on a two-dimensional small-world network. To ensure ongoing activity, we impose a probability for…

计算物理 · 物理学 2012-02-15 Alexander Rothkegel , Klaus Lehnertz

Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent…

神经元与认知 · 定量生物学 2013-06-19 Kanaka Rajan , Olivier Marre , Gašper Tkačik

We consider a noise driven network of integrate-and-fire neurons. The network evolves as result of the activities of the neurons following spike-timing-dependent plasticity rules. We apply a self-consistent mean-field theory to the system…

神经元与认知 · 定量生物学 2010-02-05 Chun-Chung Chen , David Jasnow

This work reports a transfer function-based approach to characterizing the operation of single neuronal cells in terms of the instantaneous frequency of the input and output signals. We adopt the leaky integrate-and-fire model. The transfer…

神经元与认知 · 定量生物学 2019-10-23 Felipe L. Gewers , Luciano da F. Costa

A central question in neuroscience is to understand how noisy firing patterns are used to transmit information. Because neural spiking is noisy, spiking patterns are often quantified via pairwise correlations, or the probability that two…

神经元与认知 · 定量生物学 2017-05-29 Andrea K. Barreiro , Cheng Ly

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

无序系统与神经网络 · 物理学 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

A simple threshold model of neuron firing (with the neuron membrane electrochemical potential governed by the chaotic Rossler attractor) has been analyzed by mapping the generated irregular spiking time-series into telegraph signals. In…

神经元与认知 · 定量生物学 2011-04-19 A. Bershadskii , Y. Ikegaya

The coding properties of cells with different types of receptive fields have been studied for decades. ON-type neurons fire in response to positive fluctuations of the time-dependent stimulus, whereas OFF cells are driven by negative…

神经元与认知 · 定量生物学 2009-09-10 Eugenio Urdapilleta , Ines Samengo

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…

无序系统与神经网络 · 物理学 2025-05-29 Antonio Politi , Alessandro Torcini

An exact low-dimensional system of mean-field equations for an infinite-size network of pulse coupled integrate-and-fire neurons with a bimodal distribution of an excitability parameter is derived. Bifurcation analysis of these equations…

混沌动力学 · 物理学 2021-10-04 Viktoras Pyragas , Kestutis Pyragas

Recent studies of cortical neurons driven by fluctuating currents revealed cutoff frequencies for action potential encoding of several hundred Hz. Theoretical studies of biophysical neuron models have predicted a much lower cutoff frequency…

神经元与认知 · 定量生物学 2015-05-27 Wei Wei , Fred Wolf

Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

神经元与认知 · 定量生物学 2024-11-26 Naoki Masuda , Kazuyuki Aihara

The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire (LIF) neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations…

神经元与认知 · 定量生物学 2015-06-03 Volker Pernice , Benjamin Staude , Stefano Cardanobile , Stefan Rotter

Mean-field theory is a powerful tool for studying large neural networks. However, when the system is composed of a few neurons, macroscopic differences between the mean-field approximation and the real behavior of the network can arise.…

神经元与认知 · 定量生物学 2016-09-28 Diego Fasoli , Anna Cattani , Stefano Panzeri