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 …

White-noise stimulation of the Hodgkin–Huxley model

T Takahata, S Tanabe, K Pakdaman - Biological cybernetics, 2002 - Springer
We studied the combined influence of noise and constant current stimulations on the
Hodgkin–Huxley neuron model through time and frequency analysis of the membrane …

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 …

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 …

Random dynamics of the Hodgkin-Huxley neuron model

K Pakdaman, S Tanabe - Physical Review E, 2001 - APS
Noise can alter the response of neurons, enhancing their ability to detect weak inputs. We
analyze how the Hodgkin-Huxley equations, a canonical neuron model, respond to white …

Variability in noise-driven integrator neurons

R Guantes, GG de Polavieja - Physical Review E—Statistical, Nonlinear, and …, 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 …

An Investigation of the Neuronal Dynamics Under Noisy Rate Functions

RR Asaad - 2014 - i-rep.emu.edu.tr
In latest years, it has been argued theoretically both by experiments and by numerical
simulations that noise of ion channel in neurons effect on the dynamical behavior of neuron …

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 …

Noise-enhanced neuronal reliability

S Tanabe, K Pakdaman - Physical Review E, 2001 - APS
This work shows that noise can enhance the discharge time reliability in Hodgkin-Huxley
neuron models stimulated by weak periodic and aperiodic inputs. By expanding the Fokker …

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 …