Pre-Btzinger复合体中耦合神经元簇同步模式及转迁的分岔分析

BIFURCATION ANALYSIS OF SYNCHRONOUS BURSTING PATTERNS AND TRANSITIONS OF COUPLED NEURONS IN PRE-BTZINGER COMPLEX

Pre-Btzinger复合体中兴奋性神经元节律性簇放电与呼吸节律的产生关系密切.泄漏电流对神经元簇放电具有重要的调节作用.本文利用双参数分岔分析和快慢变量分离等方法,研究了泄漏电流对耦合神经元簇同步模式及其转迁机制的影响.结果表明,在不同初始条件下,当泄漏电导改变时耦合神经元分别表现为同相"fold/homoclinic"型、"sub Hopf/homoclinic"型和反相"fold/fold cycle"型和"sub Hopf/fold cycle"型簇放电.本文的研究为进一步探索呼吸节律的产生机制提供了一些见解.

The rhythmic bursting of excitatory neurons in the pre-Botzinger complex is closely related to the re- spiratory rhythm generation. Leakage current plays an important role in regulating the bursting pattern of neurons. We studied the influences of the leakage current on bursting synchronization and transition mechanisms by both two-parameter bifurcation analysis and fast/slow decomposition. The results show that, under different initial con- ditions, the coupled cells can exhibit ＂fold/homoclinic＂ type and ＂subHopf/homoclinic＂ type bursting for in- phase synchronization, and exhibit ＂fold/fold cycle＂ type and ＂subHopf/fold cycle＂ type bursting for anti-phase synchronization. This work provides insights into the study of the respiratory rhythm.