Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks

DOI10.1023/A:1008811814446zbMath0896.92009OpenAlexW1571545895WikidataQ52245613 ScholiaQ52245613MaRDI QIDQ1384292

Publication date: 23 September 1998

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008811814446

zbMATH Keywords

Gaussian white noise nonlinear equations action potential stochastic neural network interspike intervals Fitzhugh-Nagumo system noise-induced activity stochastic neuron model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Probabilistic methods, stochastic differential equations (65C99)

Related Items (19)

Hypoelliptic stochastic Fitzhugh-Nagumo neuronal model: mixing, up-crossing and estimation of the spike rate ⋮ Mean field analysis of large-scale interacting populations of stochastic conductance-based spiking neurons using the Klimontovich method ⋮ Dynamics of a modified Hindmarsh-Rose neural model with random perturbations: moment analysis and firing activities ⋮ Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models ⋮ Estimation of distribution algorithms for the computation of innovation estimators of diffusion processes ⋮ Numerical strategies for filtering partially observed stiff stochastic differential equations ⋮ Analytic approximations of statistical quantities and response of noisy oscillators ⋮ Ergodicity and spike rate for stochastic FitzHugh-Nagumo neural model with periodic forcing ⋮ THE CORRESPONDENCE BETWEEN STOCHASTIC RESONANCE AND BIFURCATION OF MOMENT EQUATIONS OF NOISY NONLINEAR DYNAMICAL SYSTEM ⋮ A Continuous-Time Analysis of Distributed Stochastic Gradient ⋮ Deterministic analysis of stochastic bifurcations in multi-stable neurodynamical systems ⋮ Stochastic bifurcation in FitzHugh-Nagumo ensembles subjected to additive and/or multiplicative noises ⋮ Effect of noise on the tuning properties of excitable systems ⋮ Determination of Firing Times for the Stochastic Fitzhugh-Nagumo Neuronal Model ⋮ Synchronization control for reaction-diffusion Fitzhugh-Nagumo systems with spatial sampled-data ⋮ Vesicular mechanisms and estimates of firing probability in a network of spiking neurons ⋮ A minimal model for synaptic integration in simple neurons ⋮ Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations ⋮ Dynamical behaviour of a predator-prey system encapsulating the fear affecting death rate of prey and intra-specific competition: revisited in a fluctuating environment

This page was built for publication: Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks