Dynamics of a modified Hindmarsh-Rose neural model with random perturbations: moment analysis and firing activities

DOI10.1016/j.physa.2017.05.086zbMath1499.92011OpenAlexW2619571762MaRDI QIDQ2146806

Ranjit Kumar Upadhyay, Argha Mondal

Publication date: 21 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.05.086

zbMATH Keywords

stabilitybifurcationwhite noisemoment equationsmodified H-R system

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (2)

Stochastic dynamics of Michaelis-Menten kinetics based tumor-immune interactions ⋮ Firing patterns of the modified Hodgkin-Huxley models subject to Taylor's formula

Cites Work

• A calcium-based phantom bursting model for pancreatic islets
• A stochastic epidemic model incorporating media coverage
• Stochastic biomathematical models with applications to neuronal modeling.
• A stochastic SIRS epidemic model with infectious force under intervention strategies
• From plateau to pseudo-plateau bursting: making the transition
• Propagation effects of current and conductance noise in a model neuron with subthreshold oscillations
• The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism
• Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks
• Full system bifurcation analysis of endocrine bursting models
• Analytical determination of firing times in stochastic nonlinear neural models
• Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus
• The Space-Clamped Hodgkin-Huxley System with Random Synaptic Input: Inhibition of Spiking by Weak Noise and Analysis with Moment Equations
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Unnamed Item

This page was built for publication: Dynamics of a modified Hindmarsh-Rose neural model with random perturbations: moment analysis and firing activities