Bifurcations in Morris–Lecar neuron model

The Morris–Lecar (M–L) equations are an important neuron model that exhibits classes I and II excitabilities when system parameters are set appropriately. Although many papers have clarified characteristic behaviors of the model, the detailed transition between two classes is unclear from the viewpo...

Full description

Saved in:
Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2006, Vol.69 (4), p.293-316
Main Authors: Tsumoto, Kunichika, Kitajima, Hiroyuki, Yoshinaga, Tetsuya, Aihara, Kazuyuki, Kawakami, Hiroshi
Format: Article
Language:English
Subjects:
Classes I and II neuron
Homoclinic bifurcation
Morris–Lecar model
Saddle-node bifurcation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Morris–Lecar (M–L) equations are an important neuron model that exhibits classes I and II excitabilities when system parameters are set appropriately. Although many papers have clarified characteristic behaviors of the model, the detailed transition between two classes is unclear from the viewpoint of bifurcation analyses. In this paper, we investigate bifurcations of invariant sets in a five-dimensional parameter space, and identify an essential parameter of the half-activated potential of the potassium activation curve that contributes to the alternation of the membrane properties of the M–L neuron. We also show that the membrane property can be controlled by varying the value of the single parameter.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2005.03.006