A partially averaged system to model neuron responses to interferential current stimulation

DOI10.1007/s00285-022-01839-8OpenAlexW4310782020MaRDI QIDQ2105311

Eduardo Cerpa, Leonel E. Medina, Esteban Paduro, Esteban A. Hernandez, Matias Courdurier

Publication date: 8 December 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-022-01839-8

zbMATH Keywords

dynamical systemsaveragingFitzHugh-Nagumo equationneurostimulation

Mathematics Subject Classification ID

Neural biology (92C20) Medical applications (general) (92C50)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Qualitative theory of the Fitz Hugh-Nagumo equations
• Repetitive activity and Hopf bifurcation under point-stimulation for a simple FitzHugh-Nagumo nerve conduction model
• Canards existence in Fitzhugh-Nagumo and Hodgkin-Huxley neuronal models
• The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model
• Averaging methods in nonlinear dynamical systems
• Unnamed Item

This page was built for publication: A partially averaged system to model neuron responses to interferential current stimulation