Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons

doi:10.1088/1674-1056/27/7/070502

Abstract Neurons in the pre-Bötzinger complex within the mammalian brain stem play important roles in the generation of respiratory rhythms. Experimental observations show that some neurons can exhibit novel mixed bursting activities. In this paper, based on a mathematical model proposed by Butera, we show how the mixed bursting activities depend on the potassium current in the coupled pre-Botzinger complex. Using fast-slow decomposition and bifurcation analysis, we investigate the dynamics of mixed bursting, as well as the mechanisms of transition between different mixed bursting patterns. We find that mixed bursting involves different bistability, and it is the transition state of two types of regular burstings.

Keywords: pre-Bö tzinger complex fast-slow decomposition bifurcation mixed bursting

Received: 20 February 2018
Revised: 06 April 2018
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11472009), Construction Plan for Innovative Research Team of North China University of Technology (Grant No. XN018010), and Scientific Research for Undergraduate of North China University of Technology.

Corresponding Authors: Lixia Duan
E-mail: duanlx@ncut.edu.cn

Cite this article:

Zijian Wang(王子剑), Lixia Duan(段利霞), Qinyu Cao(曹秦禹) Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons 2018 Chin. Phys. B 27 070502

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Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons

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