Large coefficient of variation of inter-spike intervals induced by noise current in the resonate-and-fire model neuron

PR Protachevicz, CA Bonin, KC Iarosz, IL Caldas… - Cognitive …, 2022 - Springer
Neuronal spike variability is a statistical property associated with the noise environment.
Considering a linearised Hodgkin–Huxley model, we investigate how large spike variability …

Noise-induced transition in excitable neuron models

S Tanabe, K Pakdaman - Biological Cybernetics, 2001 - Springer
We studied the influence of noisy stimulation on the Hodgkin-Huxley neuron model. Rather
than examining the noise-related variability of the discharge times of the model–as has been …

Variability in noise-driven integrator neurons

R Guantes, GG de Polavieja - Physical Review E, 2005 - APS
Neural variability in the presence of noise has been studied mainly in resonator neurons,
such as Hodgkin-Huxley or FitzHugh-Nagumo models. Here we investigate this variability …

Inhibition and modulation of rhythmic neuronal spiking by noise

HC Tuckwell, J Jost, BS Gutkin - Physical Review E, 2009 - APS
We investigated the effects of noise on periodic firing in the Hodgkin-Huxley nonlinear
system. With mean input current μ as a bifurcation parameter, a bifurcation to repetitive …

Stochastic sensitivity analysis of noise-induced suppression of firing and giant variability of spiking in a Hodgkin-Huxley neuron model

I Bashkirtseva, AB Neiman, L Ryashko - Physical Review E, 2015 - APS
We study the stochastic dynamics of a Hodgkin-Huxley neuron model in a regime of
coexistent stable equilibrium and a limit cycle. In this regime, noise may suppress periodic …

Coherent response of the Hodgkin–Huxley neuron in the high-input regime

A Torcini, S Luccioli, T Kreuz - Neurocomputing, 2007 - Elsevier
We analyze the response of the Hodgkin–Huxley neuron to a large number of uncorrelated
stochastic inhibitory and excitatory post-synaptic spike trains. In order to clarify the various …

Response of Hodgkin–Huxley stochastic bursting neuron to single-pulse stimulus

SL Ginzburg, MA Pustovoit - Physica A: Statistical Mechanics and its …, 2006 - Elsevier
We investigate Hodgkin–Huxley neuron model with external Gaussian noise in the range of
parameters where it exhibits bistability of silent and firing states, and noise-induced bursts …

Dynamics of uncoupled and coupled neurons under an external pulsed current

M Hansen, PR Protachevicz, KC Iarosz… - Chaos, Solitons & …, 2022 - Elsevier
The neuron dynamics is highly susceptible to variations in its current input. In this work, we
study the dynamics of uncoupled and random coupled Hodgkin Huxley neurons under an …

[HTML][HTML] Weak noise in neurons may powerfully inhibit the generation of repetitive spiking but not its propagation

HC Tuckwell, J Jost - PLoS computational biology, 2010 - journals.plos.org
Many neurons have epochs in which they fire action potentials in an approximately periodic
fashion. To see what effects noise of relatively small amplitude has on such repetitive activity …

Impact of network activity on noise delayed spiking for a Hodgkin-Huxley model

M Ozer, LJ Graham - The European Physical Journal B, 2008 - Springer
In a Hodgkin-Huxley neuron model driven just above threshold, external noise can increase
both jitter and latency of the first spike, an effect called “noise delayed decay”(NDD). This …