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

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

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/27/7/070502

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

Zijian Wang(王子剑), Lixia Duan(段利霞), Qinyu Cao(曹秦禹)

School of Science, North China University of Technology, Beijing 100144, China

收稿日期:2018-02-20 修回日期:2018-04-06 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Lixia Duan E-mail:duanlx@ncut.edu.cn
基金资助:
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.

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

Zijian Wang(王子剑), Lixia Duan(段利霞), Qinyu Cao(曹秦禹)

School of Science, North China University of Technology, Beijing 100144, China

Received:2018-02-20 Revised:2018-04-06 Online:2018-07-05 Published:2018-07-05
Contact: Lixia Duan E-mail:duanlx@ncut.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: pre-Bö tzinger complex, fast-slow decomposition, bifurcation, mixed bursting

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.

Key words: pre-Bö tzinger complex, fast-slow decomposition, bifurcation, mixed bursting

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators)

王子剑, 段利霞, 曹秦禹. Multi-stability involved mixed bursting within the coupled pre-Bötzinger complex neurons[J]. 中国物理B, 2018, 27(7): 70502-070502.

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[J]. Chin. Phys. B, 2018, 27(7): 70502-070502.

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

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

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