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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

Neuronal voltage dynamics of regularly firing neurons typically has one stable attractor: either a fixed point (like in the subthreshold regime) or a limit cycle that defines the tonic firing of action potentials (in the suprathreshold…

Neurons and Cognition · Quantitative Biology 2021-01-20 Jan-Hendrik Schleimer , Janina Hesse , Susana Andrea Contreras , Susanne Schreiber

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.…

We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanisms. Associated to each neuron there are two point processes,…

Probability · Mathematics 2022-12-21 Kádmo de S. Laxa

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

Hardware spiking neural networks hold the promise of realizing artificial intelligence with high energy efficiency. In this context, solid-state and scalable memristors can be used to mimic biological neuron characteristics. However, these…

We describe general characteristics of the Hodgkin-Huxley neuron's response to a periodic train of short current pulses with Gaussian noise. The deterministic neuron is bistable for antiresonant frequencies. When the stimuli arrive at the…

Biological Physics · Physics 2015-03-17 L. S. Borkowski

Neurons in many brain areas can develop pronounced depolarized state of membrane potential (up state) in addition to the normal hyperpolarized down state near the resting potential. The influence of the up state on signal encoding, however,…

Neurons and Cognition · Quantitative Biology 2015-09-30 Wei Wei , Fred Wolf , Xiao-Jing Wang

A unique feature of neuromorphic computing is that memory is an implicit part of processing through traces of past information in the system's collective dynamics. The extent of memory about past inputs is commonly quantified by the…

In order to remain adaptable to a dynamic environment, neural activity must be simultaneously both sensitive and stable. To solve this problem, the brain has been hypothesised to sit near a critical boundary. Yet, precisely how criticality…

Neurons and Cognition · Quantitative Biology 2023-04-07 Brandon R. Munn , Eli J. Müller , James M. Shine

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

Dynamical Systems · Mathematics 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

Neuronal heterogeneity, characterized by the presence of a multitude of spiking neuronal patterns, is a widespread phenomenon throughout the nervous system. In particular, the brain exhibits strong variability among inhibitory neurons.…

Neurons and Cognition · Quantitative Biology 2024-12-02 Katiele V. P. Brito , Joana M. G. L. Silva , Claudio R. Mirasso , Fernanda S. Matias

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Optical devices with metastable states controlled with light (optical flip-flops) are needed in data storage, signal processing and displays. Although non-volatile optical memory relying on structural phase transitions in chalcogenide…

Optics · Physics 2021-12-22 Dimitrios Papas , Jun-Yu Ou , Eric Plum , Nikolay I. Zheludev

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…

Neurons and Cognition · Quantitative Biology 2013-11-12 Guillaume Drion , Alessio Franci , Vincent Seutin , Rodolphe Sepulchre

The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of neurons has led to the hypothesis that these neural networks…

Neurons and Cognition · Quantitative Biology 2023-12-29 Logan A. Becker , Baowang Li , Nicholas J. Priebe , Eyal Seidemann , Thibaud Taillefumier

The response of the Hodgkin-Huxley neuronal model subjected to stochastic uncorrelated spike trains originating from a large number of inhibitory and excitatory post-synaptic potentials is analyzed in detail. The model is examined in its…

Disordered Systems and Neural Networks · Physics 2007-05-23 Stefano Luccioli , Thomas Kreuz , Alessandro Torcini

We consider spatially localized spiking activity patterns, so-called bumps, in ensembles of bistable spiking oscillators. The bistability consists in the coexistence of self-sustained spiking dynamics and quiescent steady-state regime. We…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Vladimir V. Semenov , Anna Zakharova

We study the quasi-periodicity phenomena occurring at the transition between tonic spiking and bursting activities in exemplary biologically plausible Hodgkin-Huxley type models of individual cells and reduced phenomenological models with…

Chaotic Dynamics · Physics 2018-11-14 Huiwen Ju , Alexander Neiman , Andrey Shilnikov

Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consists of four coupled nonlinear…

Neurons and Cognition · Quantitative Biology 2010-02-01 William Hanan , Dhagash Mehta , Guillaume Moroz , Sepanda Pouryahya
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