Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.neucom.2005.03.006 | Neurocomputing |
Keywords | Field | DocType |
system parameter,morris-lecar neuron model,class i and ii neuron,detailed transition,single parameter,important neuron model,morris-lecar model,essential parameter,five-dimensional parameter space,characteristic behavior,m-l neuron,bifurcation analysis,membrane property,homoclinic bifurcation,parameter space,saddle node bifurcation | Morris–Lecar model,Biological neuron model,Biological applications of bifurcation theory,Control theory,Parameter space,Artificial intelligence,Saddle-node bifurcation,Statistical physics,Homoclinic bifurcation,Pattern recognition,Bifurcation diagram,Invariant (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
69 | 4-6 | Neurocomputing |
Citations | PageRank | References |
36 | 2.68 | 6 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kunichika Tsumoto | 1 | 52 | 6.57 |
| Hiroyuki Kitajima | 2 | 49 | 9.35 |
| Tetsuya Yoshinaga | 3 | 57 | 10.38 |
| Kazuyuki Aihara | 4 | 1909 | 333.03 |
| Hiroshi Kawakami | 5 | 36 | 2.68 |