中国物理B ›› 2019, Vol. 28 ›› Issue (11): 110501-110501.doi: 10.1088/1674-1056/ab43b9

• GENERAL • 上一篇    下一篇

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

Dou-Dou Guo(郭豆豆), Zhuo-Sheng Lü(吕卓生)   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 收稿日期:2019-06-18 修回日期:2019-08-23 出版日期:2019-11-05 发布日期:2019-11-05
  • 通讯作者: Zhuo-Sheng Lü E-mail:lvzhsh@amss.ac.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11772069 and 11872003).

Effect of magnetic flow and external forcing current on mixed bursting in the pre-Bötzinger complex

Dou-Dou Guo(郭豆豆), Zhuo-Sheng Lü(吕卓生)   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2019-06-18 Revised:2019-08-23 Online:2019-11-05 Published:2019-11-05
  • Contact: Zhuo-Sheng Lü E-mail:lvzhsh@amss.ac.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11772069 and 11872003).

摘要: The pre-Bötzinger complex (pre-BötC) in mammalian brainstem is essential for the generation of respiratory rhythms. Most dynamic studies on the pre-BötC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin's model, we mainly investigate the influences of those two factors on the mixed bursting (MB) of single pre-BötC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-BötC neuron.

关键词: pre-Bötzinger complex, mixed bursting, magnetic flow, dynamical analysis

Abstract: The pre-Bötzinger complex (pre-BötC) in mammalian brainstem is essential for the generation of respiratory rhythms. Most dynamic studies on the pre-BötC neuron have been focused on its firing activities modulated by the ion conductances rather than that by the electromagnetic radiation or the external forcing current. In this paper, by adding the electromagnetic radiation and external forcing current to Park and Rubin's model, we mainly investigate the influences of those two factors on the mixed bursting (MB) of single pre-BötC neuron. First, we explore how the variation of external forcing current affects the MB patterns of the system with non-vanishing magnetic flux. We classify the MB patterns and show their dynamic mechanism through fast-slow decomposition and bifurcation analysis. Then, by modifying the feedback coefficient, we further analyze the sole effect of electromagnetic radiation on the firing activities of the system. Our results may be instructive in understanding the dynamical behavior of pre-BötC neuron.

Key words: pre-Bötzinger complex, mixed bursting, magnetic flow, dynamical analysis

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Xt (Synchronization; coupled oscillators)