title: Multi-parameter Hopf-bifurcation in HHM Model Exposed to ELF Electric Field.
abstract: The variation of cell trans-membrane voltage exposed to extremely low frequency (ELF) electric field is analyzed; a modified Hodgkin-Huxley model of muscle (HHM) is established by introducing a new parameter denoting the effect of external electric field, and the bifurcation caused by the new parameter as well as leakage conductance and sodium ions anti-electromotive force is studied. The algebra criterion in high dimension equations is employed to perform the analysis of multi-parameter dynamical bifurcation. The results are of biological significance and suggest that the aberration of dynamics in bio-systems may be accounted for diseases caused by electric exposure.
authors.affiliation: School of Electrical and Automation Eng., Tianjin University, Tianjin 300072, China (e-mail: jiangwang@tju.edu.cn).
authors.forename: Wang
authors.initials: W
authors.lastname: Jiang
authors.forename: Che
authors.initials: C
authors.lastname: Yanqiu
authors.forename: Fei
authors.initials: F
authors.lastname: Xiangyang
authors.forename: Dong
authors.initials: D
authors.lastname: Feng