title: [Study on propagation form of nerve impulse waves].
abstract: Hodgkin-Huxley model is the indispensable mathematics basis for the study of neuro-electro-physiology. But so far, there is few analytic study about H-H neuron model. In this paper, the features of the classical H-H model are analyzed, and then a simplified H-H model and Nagumo equation are proposed, and their solitary wave solutions are first obtained with the homogeneous balance method. The study shows that nerve impulse may propagate with the mode of solitary wave.
authors.affiliation: Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
authors.forename: Yuzhen
authors.initials: Y
authors.lastname: Chai
authors.forename: Jianwen
authors.initials: J
authors.lastname: Zhang
authors.forename: Guitong
authors.initials: G
authors.lastname: Yang
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D006801:Humans; D008433:Mathematics; D008564:Membrane Potentials / Q000502:physiology*; D008959:Models, Neurological; D009431:Neural Conduction / Q000502:physiology*