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We consider the evolution of a network of neurons, focusing on the asymptotic behavior of spikes dynamics instead of membrane potential dynamics. The spike response is not sought as a deterministic response in this context, but as a…

数据分析、统计与概率 · 物理学 2010-08-27 J. C. Vasquez , B. Cessac , T. Viéville

Neuronal spiking exhibits an exquisite combination of modulation and robustness properties, rarely matched in artificial systems. We exploit the particular interconnection structure of conductance based models to investigate this remarkable…

神经元与认知 · 定量生物学 2013-11-12 Guillaume Drion , Alessio Franci , Vincent Seutin , Rodolphe Sepulchre

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

应用统计 · 统计学 2011-04-15 Mengxin Li , Wei-Liem Loh

In timing-based neural codes, neurons have to emit action potentials at precise moments in time. We use a supervised learning paradigm to derive a synaptic update rule that optimizes via gradient ascent the likelihood of postsynaptic firing…

神经元与认知 · 定量生物学 2007-05-23 Jean-Pascal Pfister , Taro Toyoizumi , David Barber , Wulfram Gerstner

We review the use of mean field theory for describing the dynamics of dense, randomly connected cortical circuits. For a simple network of excitatory and inhibitory leaky integrate-and-fire neurons, we can show how the firing irregularity,…

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

Analyzing Event-Triggered Control's (ETC) sampling behaviour is of paramount importance, as it enables formal assessment of its sampling performance and prediction of its sampling patterns. In this work, we formally analyze the sampling…

系统与控制 · 电气工程与系统科学 2026-02-18 Giannis Delimpaltadakis , Luca Laurenti , Manuel Mazo

This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a…

神经元与认知 · 定量生物学 2020-04-24 Adam Noel , Shayan Monabbati , Dimitrios Makrakis , Andrew W. Eckford

We study temporal correlations of interspike intervals (ISIs), quantified by the network-averaged serial correlation coefficient (SCC), in networks of both current- and conductance-based purely inhibitory integrate-and-fire neurons.…

神经元与认知 · 定量生物学 2019-03-27 Wilhelm Braun , André Longtin

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

Spiking neural networks coupled with neuromorphic hardware and event-based sensors are getting increased interest for low-latency and low-power inference at the edge. However, multiple spiking neuron models have been proposed in the…

神经与进化计算 · 计算机科学 2022-11-16 Mohamed Sadek Bouanane , Dalila Cherifi , Elisabetta Chicca , Lyes Khacef

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

神经元与认知 · 定量生物学 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

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

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 quantitative analysis of non-invasive electrophysiology signals from electroencephalography (EEG) and magnetoencephalography (MEG) boils down to the identification of temporal patterns such as evoked responses, transient bursts of…

信号处理 · 电气工程与系统科学 2022-07-12 Cédric Allain , Alexandre Gramfort , Thomas Moreau

The advent of large scale neural computational platforms has highlighted the lack of algorithms for synthesis of neural structures to perform predefined cognitive tasks. The Neural Engineering Framework offers one such synthesis, but it is…

神经与进化计算 · 计算机科学 2013-04-29 J. Tapson , G. Cohen , S. Afshar , K. Stiefel , Y. Buskila , R. Wang , T. J. Hamilton , A. van Schaik

We demonstrate that the information contained in the spike occurrence times of a population of neurons can be broken up into a series of terms, each of which reflect something about potential coding mechanisms. This is possible in the…

生物物理 · 物理学 2007-05-23 S. Panzeri , S. R. Schultz

Recent studies have shown how spiking networks can learn complex functionality through error-correcting plasticity, but the resulting structures and dynamics remain poorly studied. To elucidate how these models may link to observed dynamics…

神经元与认知 · 定量生物学 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün

In this paper, we investigate the fundamental limits on how the inter- spike time of a neuron oscillator can be perturbed by the application of a bounded external control input (a current stimulus) with zero net electric charge…

最优化与控制 · 数学 2012-11-20 Isuru S. Dasanayake , Jr-Shin Li

Spiking neural networks (SNNs) promise orders-of-magnitude efficiency gains by communicating with sparse, event-driven spikes rather than dense numerical activations. However, most training pipelines either rely on surrogate-gradient…

神经与进化计算 · 计算机科学 2025-12-17 Arman Ferdowsi , Atakan Aral

Spiking Neural Networks (SNN) are characterised by their unique temporal dynamics, but the properties and advantages of such computations are still not well understood. In order to provide answers, in this work we demonstrate how Spiking…

计算机视觉与模式识别 · 计算机科学 2024-06-10 Alex Vicente-Sola , Davide L. Manna , Paul Kirkland , Gaetano Di Caterina , Trevor Bihl