Multi-parameter Hopf-bifurcation in HHM Model Exposed to ELF Electric Field

Author

Jiang, Wang ; Yanqiu, Che ; Xiangyang, Fei ; Feng, Dong

Author_Institution

Sch. of Electr. & Autom. Eng., Tianjin Univ.

fYear

2006

Firstpage

4646

Lastpage

4649

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

Keywords

bifurcation; bioelectric potentials; biological effects of fields; biomembrane transport; cellular effects of radiation; diseases; muscle; physiological models; ELF electric field; HHM model; antielectromotive force; cell transmembrane voltage; diseases; external electric field effect; extremely low frequency electric field; leakage conductance; modified Hodgkin-Huxley model; multiparameter Hopf-bifurcation; multiparameter dynamical bifurcation; muscle; sodium ions; Algebra; Bifurcation; Cause effect analysis; Equations; Frequency; Geophysical measurement techniques; Ground penetrating radar; Muscles; Performance analysis; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 2005. IEEE-EMBS 2005. 27th Annual International Conference of the

Conference_Location

Shanghai

Print_ISBN

0-7803-8741-4

Type

conf

DOI

10.1109/IEMBS.2005.1615506

Filename

1615506