Stability diagrams for bursting neurons modeled by three-variable maps
Neurons and Cognition
2007-05-23 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
Biological Physics
Abstract
We study a simple map as a minimal model of excitable cells. The map has two fast variables which mimic the behavior of class I neurons, undergoing a sub-critical Hopf bifurcation. Adding a third slow variable allows the system to present bursts and other interesting biological behaviors. Bifurcation lines which locate the excitability region are obtained for different planes in parameter space.
Cite
@article{arxiv.q-bio/0402031,
title = {Stability diagrams for bursting neurons modeled by three-variable maps},
author = {M. Copelli and M. H. R. Tragtenberg and O. Kinouchi},
journal= {arXiv preprint arXiv:q-bio/0402031},
year = {2007}
}
Comments
7 pages, 3 figures, accepted for publication