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Using a realistic model of activity dependent dynamical synapses and a standard integrate and fire neuron model we study, both analytically and numerically, the conditions in which a postsynaptic neuron efficiently detects temporal…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jorge F. Mejias , Joaquin J. Torres

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the introduction of local interactions: each firing neuron triggers…

Probability · Mathematics 2021-08-17 Maximiliano Altamirano , Roberto Cortez , Matthieu Jonckheere , Lasse Leskelä

Serotonergic, noradrenergic and dopaminergic brainstem (including midbrain) neurons, often exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz, though dopaminergic and noradrenergic neurons only exhibit such…

Neurons and Cognition · Quantitative Biology 2017-04-18 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

Neural populations exhibit latent dynamical structures that drive time-evolving spiking activities, motivating the search for models that capture both intrinsic network dynamics and external unobserved influences. In this work, we introduce…

Machine Learning · Computer Science 2026-03-11 Yue Song , T. Anderson Keller , Yisong Yue , Pietro Perona , Max Welling

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…

Neurons and Cognition · Quantitative Biology 2009-09-10 Eugenio Urdapilleta , Ines Samengo

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

Contemporary modeling approaches to the dynamics of neural networks consider two main classes of models: biologically grounded spiking neurons and functionally inspired rate-based units. The unified simulation framework presented here…

Neurons and Cognition · Quantitative Biology 2017-11-27 Jan Hahne , David Dahmen , Jannis Schuecker , Andreas Frommer , Matthias Bolten , Moritz Helias , Markus Diesmann

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

Statistical Mechanics · Physics 2026-03-23 Aditya Gupta

This paper applies the classical prediction error method (PEM) to the estimation of nonlinear discrete-time models of neuronal systems subject to input-additive noise. While the nonlinear system exhibits excitability, bifurcations, and…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Thiago B. Burghi , Maarten Schoukens , Rodolphe Sepulchre

A spiking neuron ``computes'' by transforming a complex dynamical input into a train of action potentials, or spikes. The computation performed by the neuron can be formulated as dimensional reduction, or feature detection, followed by a…

Biological Physics · Physics 2007-05-23 Blaise Aguera y Arcas , Adrienne L. Fairhall , William Bialek

We study how threshold model neurons transfer temporal and interneuronal input correlations to correlations of spikes. We find that the low common input regime is governed by firing rate dependent spike correlations which are sensitive to…

Neurons and Cognition · Quantitative Biology 2013-05-29 Tatjana Tchumatchenko , Aleksey Malyshev , Theo Geisel , Maxim Volgushev , Fred Wolf

Spiking neural network is a type of artificial neural network in which neurons communicate between each other with spikes. Spikes are identical Boolean events characterized by the time of their arrival. A spiking neuron has internal…

Neural and Evolutionary Computing · Computer Science 2016-02-16 Oleg Y. Sinyavskiy

Randomly-connected networks of integrate-and-fire (IF) neurons are known to display asynchronous irregular (AI) activity states, which resemble the discharge activity recorded in the cerebral cortex of awake animals. However, it is not…

Neurons and Cognition · Quantitative Biology 2009-10-27 Alain Destexhe

Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gene regulatory and metabolic circuits in our cells to…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Xiaozhu Zhang , Marc Timme

The conventional impedance profile of a neuron can identify the presence of resonance and other properties of the neuronal response to oscillatory inputs, such as nonlinear response amplifications, but it cannot distinguish other nonlinear…

Neurons and Cognition · Quantitative Biology 2019-10-24 Rodrigo F. O. Pena , Vinicius Lima , Renan O. Shimoura , Cesar C. Ceballos , Horacio G. Rotstein , Antonio C. Roque

Many organisms navigate gradients by alternating straight motions (runs) with random reorientations (tumbles), transiently suppressing tumbles whenever attractant signal increases. This induces a functional coupling between movement and…

Cell Behavior · Quantitative Biology 2017-04-12 Junjiajia Long , Steven W. Zucker , Thierry Emonet

Recording simultaneous activity of hundreds of neurons is now possible. Existing methods can model such population activity, but do not directly reveal the computations used by the brain. We present a fully unsupervised method that models…

Neurons and Cognition · Quantitative Biology 2020-03-24 Connor Brennan , Alex Proekt

The detection of neuronal communities is addressed with basis on two important concepts from neuroscience: facilitation of neuronal firing and nearly simultaneous beginning of activation of sets of neurons. More specifically,…

Physics and Society · Physics 2008-01-29 Luciano da Fontoura Costa