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Despite intensive research, the mechanisms underlying how neurons encode external inputs remain poorly understood. Recent work has focused on the response of a single neuron to a weak, subthreshold periodic signal. By simulating the…

神经元与认知 · 定量生物学 2017-11-23 Maria Masoliver , Cristina Masoller

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

神经元与认知 · 定量生物学 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the…

生物物理 · 物理学 2009-11-13 D. Valenti , G. Augello , B. Spagnolo

In sensory neurons the presence of noise can facilitate the detection of weak information-carrying signals, which are encoded and transmitted via correlated sequences of spikes. Here we investigate relative temporal order in spike sequences…

神经元与认知 · 定量生物学 2016-10-12 Jose A. Reinoso , M. C. Torrent , Cristina Masoller

In this work, we investigate the spike-adding mechanism in a class of three-dimensional fast-slow systems with three distinct timescales, inspired by the FitzHugh-Nagumo (FHN) model driven by periodic input. First, we numerically generate a…

动力系统 · 数学 2025-05-28 Pake Melland , Rodica Curtu , Zahra Aminzare

The FitzHugh-Nagumo (FHN) model serves as a fundamental neuronal model which is extensively studied across various dynamical scenarios, we explore the dynamics of a scalar FHN oscillator under the influence of white noise. Unlike previous…

无序系统与神经网络 · 物理学 2025-03-03 S. Hariharan , R. Suresh , V. K. Chandrasekar

Human hearing range significantly surpasses the typical neuronal spiking frequency. Yet, neurons with their modest frequency range not only efficiently receive and process multiple orders higher frequency signals, but also demonstrate…

神经元与认知 · 定量生物学 2024-08-09 Mariia Sorokina

We analyze the effect of weak-noise-induced transitions on the dynamics of the FitzHugh-Nagumo neuron model in a bistable state consisting of a stable fixed point and a stable unforced limit cycle. Bifurcation and slow-fast analysis give…

动力系统 · 数学 2017-06-02 Marius E. Yamakou , Jürgen Jost

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

适应与自组织系统 · 物理学 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

A good understanding of how neurons use electrical pulses (i.e, spikes) to encode the signal information remains elusive. Analyzing spike sequences generated by individual neurons and by two coupled neurons (using the stochastic…

神经元与认知 · 定量生物学 2019-10-23 Maria Masoliver , Cristina Masoller

Many central neurons, and in particular certain brainstem aminergic neurons exhibit spontaneous and fairly regular spiking with frequencies of order a few Hz. A large number of ion channel types contribute to such spiking so that accurate…

神经元与认知 · 定量生物学 2015-08-25 Henry C. Tuckwell , Ying Zhou , Nicholas J. Penington

The effect of a high-frequency signal on the FitzHugh-Nagumo excitable model is analyzed. We show that the firing rate is diminished as the ratio of the high-frequency amplitude to its frequency is increased. Moreover, it is demonstrated…

统计力学 · 物理学 2016-08-16 David Cubero , José Pablo Baltanás , Jesús Casado-Pascual

This perspective article investigates how auditory stimuli influence neural network dynamics using the FitzHugh-Nagumo (FHN) model and empirical brain connectivity data. Results show that synchronization is sensitive to both the frequency…

神经元与认知 · 定量生物学 2025-04-11 Jakub Sawicki

An electronic circuit device, inspired on the FitzHugh-Nagumo model of neuronal excitability, was constructed and shown to operate with characteristics compatible with those of biological sensory neurons. The nonlinear dynamical model of…

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

神经与进化计算 · 计算机科学 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

神经元与认知 · 定量生物学 2014-03-05 Mathieu Galtier , Jonathan Touboul

We consider signal transaction in a simple neuronal model featuring intrinsic noise. The presence of noise limits the precision of neural responses and impacts the quality of neural signal transduction. We assess the signal transduction…

生物物理 · 物理学 2015-03-17 Michael J. Barber , Manfred L. Ristig

We study the stochastic FitzHugh-Nagumo equations, modelling the dynamics of neuronal action potentials, in parameter regimes characterised by mixed-mode oscillations. The interspike time interval is related to the random number of…

概率论 · 数学 2012-07-10 Nils Berglund , Damien Landon

-In recent years, there has been an increased focus on the mechanics of information transmission in spiking neural networks. Especially the Noise Shaping properties of these networks and their similarity to Delta-Sigma Modulators has…

新兴技术 · 计算机科学 2014-08-11 C. Mayr , R. Schüffny

We analyze the influence of an external sound source in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report synchronization patterns, induced by the frequency of the…

适应与自组织系统 · 物理学 2021-05-04 Jakub Sawicki , Eckehard Schöll
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