Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:C3L-E
Session:
Number:C3L-E4
Universal analyses of neuron models based-on a concept of potential with active areas
Koji Nakajima,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
We present various bursting wave forms which are obtained from a simple model of the Hodgkin-Huxley type. The model is a typical example whose characteristics can be discussed through the concept of potential with active areas. A potential function is able to provide a global landscape for dynamics of a model, and the dynamics are explained in relation to the disposition of the actives area on the potential. We obtain the potential functions and the active areas for the Hindmarsh-Rose model, the Morris-Lecar system, and the Hodgkin-Huxley system, and hence we are able to discuss the common properties among these models based on the concept of potential with active areas.