title: Bursting characteristics of a neuron model based on a concept of potential with active areas.
abstract: We present various bursting wave forms that 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 active areas 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.
authors.affiliation: Laboratory for Brainware Systems/Laboratory for Nanoelectronics and Spintronics, Research Institute of Electrical Communication, Tohoku University, Sendai 980-8577, Japan. hello@nakajima.riec.tohoku.ac.jp
authors.forename: Koji
authors.initials: K
authors.lastname: Nakajima
authors.forename: Shinya
authors.initials: S
authors.lastname: Suenaga
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D001703:Biophysics / Q000379:methods*; D001921:Brain / Q000473:pathology; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D008959:Models, Neurological; D009431:Neural Conduction / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods; D013997:Time Factors