TY - JOUR
T1 - Bifurcations in the Hodgkin-Huxley model exposed to DC electric fields
AU - Che, Yanqiu
AU - Wang, Jiang
AU - Deng, Bin
AU - Wei, Xile
AU - Han, Chunxiao
N1 - Funding Information:
This work is supported by the Key Program of the National Natural Science Foundation of China (Grant No. 50537030), the Young Scientists Fund of the National Natural Science Foundation of China (Grants No. 50907044 and No. 60901035 ), the National Natural Science Foundation of China (Grant No. 61072012 ) and the National Science Foundation for Post-doctoral Scientists of China (Grant No. 200902275 ).
PY - 2012/4/1
Y1 - 2012/4/1
N2 - Diverse behaviors of the original Hodgkin-Huxley (HH) model, depending on the parameter values, have been studied extensively. This paper proposes modified HH equations exposed to externally applied extremely low frequency (ELF) electric fields. We investigate the effect of the DC electric fields on the dynamics of the modified HH model using bifurcation analysis. The obtained bifurcation sets partition the two dimensional parameter space, representing intensity of externally applied DC current and trans-membrane voltage induced by external DC electric fields, in terms of the qualitatively different behaviors of the HH model. Thus the neuronal information encodes the stimulus information, and vice versa. We also illustrate that the multi-stability phenomena in the HH model are associated with Hopf and double cycle bifurcations.
AB - Diverse behaviors of the original Hodgkin-Huxley (HH) model, depending on the parameter values, have been studied extensively. This paper proposes modified HH equations exposed to externally applied extremely low frequency (ELF) electric fields. We investigate the effect of the DC electric fields on the dynamics of the modified HH model using bifurcation analysis. The obtained bifurcation sets partition the two dimensional parameter space, representing intensity of externally applied DC current and trans-membrane voltage induced by external DC electric fields, in terms of the qualitatively different behaviors of the HH model. Thus the neuronal information encodes the stimulus information, and vice versa. We also illustrate that the multi-stability phenomena in the HH model are associated with Hopf and double cycle bifurcations.
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U2 - 10.1016/j.neucom.2011.11.019
DO - 10.1016/j.neucom.2011.11.019
M3 - Article
AN - SCOPUS:84856333741
VL - 81
SP - 41
EP - 48
JO - Neurocomputing
JF - Neurocomputing
SN - 0925-2312
ER -