Dynamics of in-phase and anti-phase bursting in the coupled pre-Bötzinger complex cells.
Activity of neurons in the pre-Bötzinger complex within the mammalian brain stem has an important role in the generation of respiratory rhythms. Previous experimental results have shown that the dynamics of sodium and calcium within each cell may be responsible for various bursting mechanisms. In this paper, we study the bursting dynamics of the two-coupled pre-Bötzinger complex neurons. Using a combination of fast-slow decomposition and two-parameter bifurcation analysis, we explore the possible forms of dynamics that the model network can produce as well the transitions of in-phase and anti-phase bursting respectively.
College of Science, North China University of Technology, Beijing, 100144 China.
Lixia
L
Duan
College of Science, North China University of Technology, Beijing, 100144 China.
Jing
J
Liu
College of Science, North China University of Technology, Beijing, 100144 China.
Xi
X
Chen
Department of Mathematics, University of Evansville, Evansville, IN 47722 USA.
Pengcheng
P
Xiao
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000 China.
Yong
Y
Zhao
Bifurcation analysis; Bursting; Fast-slow decomposition; Pre-Bötzinger complex