DocumentCode
527569
Title
The dynamical analysis of a two-dimensional simplified Hodgkin-Huxley model
Author
Wang, Hu ; Yu, Yongguang ; Wang, Mei ; Zhao, Ran
Author_Institution
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Volume
2
fYear
2010
fDate
10-12 Aug. 2010
Firstpage
814
Lastpage
818
Abstract
In this paper, the dynamical behaviors of a two-dimensional simplified Hodgkin-Huxley model exposed to low frequency electric fields are studied by employing the qualitative analysis and numerical simulation. The necessary and sufficient condition is given for the existence of the Hopf bifurcation. The simplified model is very similar to the original model. It would be a great help to further investigate the original model.
Keywords
bifurcation; neurophysiology; 2D simplified Hodgkin-Huxley model; Hopf bifurcation; low frequency electric field; qualitative analysis; Bifurcation; Electric fields; Electric potential; Mathematical model; Nerve fibers; Numerical models; Oscillators; Hodgkin-Huxley model; Hopf bifurcation; Simplified model;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-5958-2
Type
conf
DOI
10.1109/ICNC.2010.5583234
Filename
5583234
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