耦合preBtzinger复合体神经元中混合簇放电的多时间尺度动力学分析
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国家自然科学基金资助项目(11872003,11502073 ),北方工业大学“毓杰团队培养计划”资助项目


Multiple time scale dynamics analysis of mixed bursting within the coupled preBtzinger complex neurons
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    摘要:

    Pre-Botzinger复合体是新生哺乳动物呼吸节律起源的关键部位,是呼吸节律产生的中枢.本文以preBtzinger复合体中两个耦合的神经元为研究对象,并考虑钙离子动力学的耦合神经元模型.利用多时间尺度动力学、快慢尺度分解和分岔分析,研究混合簇同步放电模式及其产生机制, 并研究了耦合神经元同相和反相簇放电类型及其同步转迁.结果表明钙离子的周期性波动对混合簇放电模式的产生有极大的影响,钙离子波动导致的时间尺度变化及分岔曲线相对位置的改变是混合簇放电产生的主要原因.本文的研究对认识preBtzinger中大规模网络的动力学有着重要的意义,为进一步探索呼吸节律的产生机制提供了一些有益的思考和见解.

    Abstract:

    The pre-Botzinger complex is an origin and center for the respiratory rhythm generation within the mammalian brain stem. In this paper, based on the twocoupled neuron network in the pre-Botzinger complex, the effects of calcium and sodium currents on the rhythm generation and the transition dynamics were studied.According to different stages of the calcium oscillation, the period of the mixed bursting was separated into different stages related to different time scales. Using the multiple time scale dynamics analysis, fastslow decomposition and bifurcation analysis, the dynamic mechanism of the mixed bursting with the change of sodium current was explored.Furthermore, different mixedbursting patterns of coupled neurons and transitions of inphase and antiphase bursting were studied. The results show that the periodic oscillation of calcium ion is related to the change of slow time scale, and the change of slow time scale and the relative position of the bifurcation curves are heavily dependent on dynamics of the mixed bursting. This research is of great significance in understanding the dynamics of large networks in preBotzinger complex. It provides insights into the generation mechanisms of the respiratory rhythm.

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马芬,段利霞,梁桐桐,梁王娟,赵勇.耦合preBtzinger复合体神经元中混合簇放电的多时间尺度动力学分析[J].动力学与控制学报,2020,18(2):82~90; Ma Fen, Duan Lixia, Liang Tongtong, Liang Wangjuan, Zhao Yong. Multiple time scale dynamics analysis of mixed bursting within the coupled preBtzinger complex neurons[J]. Journal of Dynamics and Control,2020,18(2):82-90.

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  • 收稿日期:2018-12-05
  • 最后修改日期:2019-01-08
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  • 在线发布日期: 2020-05-07
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