Title :
Analysis of generation mechanism of very slow neuronal rhythm through a Hopf bifurcation
Author :
Nii, Yusuke ; DOI, Shinji ; Kumagai, Sadatoshi
Author_Institution :
Dept. of Electr. Eng., Osaka Univ., Japan
Abstract :
Using Bonhoeffer-van der Pol (BVP) equation extended to three variables, it is shown that this single neuron model can produce an extraordinarily slow oscillation through a Hopf bifurcation. The generation mechanism of such neuronal rhythm is analyzed from a viewpoint of a bifurcation theory.
Keywords :
bifurcation; cellular biophysics; neurophysiology; physiological models; BVP equation; Bonhoeffer-van der Pol equation; Hopf bifurcation; bifurcation theory; extraordinarily slow oscillation; nerve cells; single neuron model; very slow neuronal rhythm generation mechanism analysis; Bifurcation; Biomembranes; Chaos; Differential equations; Frequency; Jacobian matrices; Neurons; Nonlinear equations; Rhythm; Zinc;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1196568
