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Numerical calculations have been made on the spike-train response of a pair of Hodgkin-Huxley (HH) neurons coupled by synapses and axons with time delay. The recurrent excitatory-excitatory, inhibitory-inhibitory, excitatory-inhibitory, and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

Recent analyses combining advanced theoretical techniques and high-quality data from thousands of simultaneously recorded neurons provide strong support for the hypothesis that neural dynamics operate near the edge of instability across…

Neurons and Cognition · Quantitative Biology 2024-03-25 Rubén Calvo , Carles Martorell , Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

Neurons and Cognition · Quantitative Biology 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

In neural systems, synaptic plasticity is usually driven by spike trains. Due to the inherent noises of neurons, synapses and networks, spike trains typically exhibit externally uncontrollable variability such as spatial heterogeneity and…

Neurons and Cognition · Quantitative Biology 2015-06-18 Zedong Bi , Changsong Zhou , Hai-Jun Zhou

Quantification of neuronal correlations in neuron populations helps us to understand neural coding rules. Such quantification could also reveal how neurons encode information in normal and disease conditions like Alzheimer's and…

Neurons and Cognition · Quantitative Biology 2021-05-10 Sathish Ande , Srinivas Avasarala , Ajith Karunarathne , Lopamudra Giri , Soumya Jana

Spike-sorting techniques attempt to classify a series of noisy electrical waveforms according to the identity of the neurons that generated them. Existing techniques perform this classification ignoring several properties of actual neurons…

Quantitative Methods · Quantitative Biology 2007-05-23 Christophe Pouzat

Spiking neural networks have gained significant attention due to their brain-like information processing capabilities. The use of surrogate gradients has made it possible to train spiking neural networks with backpropagation, leading to…

Neural and Evolutionary Computing · Computer Science 2023-05-24 Dongcheng Zhao , Guobin Shen , Yiting Dong , Yang Li , Yi Zeng

Spiking neural networks (SNNs) promise low-power event-driven computation for temporally rich tasks, but commonly used neuron models often trade off gradient-based trainability, dynamical richness, and high activity sparsity. These…

Neural and Evolutionary Computing · Computer Science 2026-05-13 Alex Fulleda-Garcia , Saray Soldado-Magraner , Josep Maria Margarit-Taulé

Incoming sound is in cochlea and auditory nerve encoded into spike trains. At the third neuron of the auditory pathway, spike trains of the left and right sides are processed in brainstem nuclei to yield sound localization information. Two…

Neurons and Cognition · Quantitative Biology 2020-07-02 Petr Marsalek , Pavel Sanda , Zbynek Bures

Background: Spike trains of multiple neurons can be analyzed following the summed population (SP) or the labeled line (LL) hypothesis. Responses to external stimuli are generated by a neuronal population as a whole or the individual neurons…

Neurons and Cognition · Quantitative Biology 2018-09-17 Eero Satuvuori , Mario Mulansky , Andreas Daffertshofer , Thomas Kreuz

Synchronized brain rhythms, associated with diverse cognitive functions, have been observed in electrical recordings of brain activity. Neural synchronization may be well described by using the population-averaged global potential $V_G$ in…

Neurons and Cognition · Quantitative Biology 2014-03-07 Sang-Yoon Kim , Woochang Lim

Statistical analysis and inference on spike trains is one of the central topics in the neural coding. It is of great interest to understand the underlying structure of given neural data. Based on the metric distances between spike trains,…

Neurons and Cognition · Quantitative Biology 2015-11-06 Sergiusz Wesolowski , Robert J. Contreras , Wei Wu

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…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün

The ability to record from increasingly large numbers of neurons, and the increasing attention being paid to large scale neural network simulations, demands computationally fast algorithms to compute relevant statistical measures. We…

Quantitative Methods · Quantitative Biology 2020-02-26 William T Redman

The advent of neuralmorphic spike cameras has garnered significant attention for their ability to capture continuous motion with unparalleled temporal resolution.However, this imaging attribute necessitates considerable resources for binary…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Kexiang Feng , Chuanmin Jia , Siwei Ma , Wen Gao

Although the temporal spike dynamics of spiking neural networks (SNNs) enable low-power temporal pattern capture capabilities, they also incur inherent inconsistencies that severely compromise representation. In this paper, we perform dual…

Neural and Evolutionary Computing · Computer Science 2026-03-13 Yongqi Ding , Kunshan Yang , Linze Li , Yiyang Zhang , Mengmeng Jing , Lin Zuo

Spiking neural networks, also often referred to as the third generation of neural networks, carry the potential for a massive reduction in memory and energy consumption over traditional, second-generation neural networks. Inspired by the…

Neural and Evolutionary Computing · Computer Science 2022-10-27 Alexander Henkes , Jason K. Eshraghian , Henning Wessels

Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is hypothesized to be encoded in the…

Neurons and Cognition · Quantitative Biology 2010-12-13 Hugo Gabriel Eyherabide , Inés Samengo

Our knowledge of the sensory world is encoded by neurons in sequences of discrete, identical pulses termed action potentials or spikes. There is persistent controversy about the extent to which the precise timing of these spikes is relevant…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ilya Nemenman , Geoffrey D. Lewen , William Bialek , Rob R. de Ruyter van Steveninck

Humans perform remarkably well in many cognitive tasks including pattern recognition. However, the neuronal mechanisms underlying this process are not well understood. Nevertheless, artificial neural networks, inspired in brain circuits,…

Neurons and Cognition · Quantitative Biology 2018-06-28 Gianluca Susi , Luis Anton Toro , Leonides Canuet , Maria Eugenia Lopez , Fernando Maestu , Claudio R. Mirasso , Ernesto Pereda