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We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Many of the amazing functional capabilities of the brain are collective properties stemming from the interactions of large sets of individual neurons. In particular, the most salient collective phenomena in brain activity are oscillations,…

Neurons and Cognition · Quantitative Biology 2022-06-29 Victor Buendía , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a surprisingly large degree of variability at the subthreshold…

Neurons and Cognition · Quantitative Biology 2025-03-19 Logan A. Becker , Francois Baccelli , Thibaud Taillefumier

Pulse-coupled spiking neural networks are a powerful tool to gain mechanistic insights into how neurons self-organize to produce coherent collective behavior. These networks use simple spiking neuron models, such as the $\theta$-neuron or…

Neurons and Cognition · Quantitative Biology 2024-09-30 Bastian Pietras

The power spectrum of local field potentials (LFPs) has been reported to scale as the inverse of the frequency, but the origin of this "1/f noise" is at present unclear. Macroscopic measurements in cortical tissue demonstrated that electric…

Neurons and Cognition · Quantitative Biology 2009-11-13 Claude Bedard , Alain Destexhe

Excessively high, neural synchronisation has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronisation mechanisms can thus help control or even treat epilepsy.…

Spiking neural networks (SNNs) are investigated as biologically inspired models of neural computation, distinguished by their computational capability and energy efficiency due to precise spiking times and sparse spikes with event-driven…

Neural and Evolutionary Computing · Computer Science 2024-05-28 Mingqing Xiao , Yixin Zhu , Di He , Zhouchen Lin

Artificial spiking neural networks have found applications in areas where the temporal nature of activation offers an advantage, such as time series prediction and signal processing. To improve their efficiency, spiking architectures often…

It is well known that synchronization patterns and coherence have a major role in the functioning of brain networks, both in pathological and in healthy states. In particular, in the perception of sound, one can observe an increase in…

Adaptation and Self-Organizing Systems · Physics 2024-02-01 Jakub Sawicki , Eckehard Schöll

We study bifurcations in networks of integrate-and-fire neurons with stochastic spike emission, focusing on the effects of the spatial and temporal structure of the synaptic interactions. Using a deterministic mean-field approximation of…

Neurons and Cognition · Quantitative Biology 2026-05-19 Lauren Forbes , Jared Grossman , Montie Avery , Ryan Goh , Gabriel Koch Ocker

Fast cortical rhythms with stochastic and intermittent neural discharges have been observed in electric recordings of brain activity. Recently, Brunel et al. developed a framework to describe this kind of fast sparse synchronization in both…

Neurons and Cognition · Quantitative Biology 2014-09-03 Sang-Yoon Kim , Woochang Lim

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

The computation performed by a neuron can be formulated as a combination of dimensional reduction in stimulus space and the nonlinearity inherent in a spiking output. White noise stimulus and reverse correlation (the spike-triggered average…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne Fairhall

Frequency discrimination is a fundamental task of the auditory system. The mammalian inner ear, or cochlea, provides a place code in which different frequencies are detected at different spatial locations. However, a temporal code based on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Tobias Reichenbach , A. J. Hudspeth

This work delves into studying the synchronization in two realistic neuron models using Hodgkin-Huxley dynamics. Unlike simplistic point-like models, excitatory synapses are here randomly distributed along the dendrites, introducing strong…

Neurons and Cognition · Quantitative Biology 2024-09-17 Alessandro Fiasconaro , Michele Migliore

Identifying the spatio-temporal network structure of brain activity from multi-neuronal data streams is one of the biggest challenges in neuroscience. Repeating patterns of precisely timed activity across a group of neurons is potentially…

Neurons and Cognition · Quantitative Biology 2009-03-03 Casey Diekman , Kohinoor Dasgupta , Vijay Nair , P. S. Sastry , K. P. Unnikrishnan

Advances in neuroscience have enabled researchers to measure the activities of large numbers of neurons simultaneously in behaving animals. We have access to the fluorescence of each of the neurons which provides a first-order approximation…

Neurons and Cognition · Quantitative Biology 2023-07-21 Abhisek Chakraborty

The effect of a temporally correlated afferent current on the firing rate of a leaky integrate-and-fire (LIF) neuron is studied. This current is characterized in terms of rates, auto and cross-correlations, and correlation time scale…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Moreno , J. de la Rocha , A. Renart , N. Parga
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