Bursting Transition Dynamics Within the Pre-Botzinger Complex

作者：Duan, Lixia^*; Chen, Xi; Tang, Xuhui; Su, Jianzhong

来源：International Journal of Bifurcation and Chaos, 2016, 26(10): 1650162.

DOI：10.1142/S0218127416501625

• Bursting
• first recurrence map
• fast-slow decomposition
• pre-Botzinger complex

The pre-Botzinger complex of the mammalian brain stem plays a crucial role in the respiratory rhythms generation. Neurons within the pre-Botzinger complex have been found experimentally to yield different firing activities. In this paper, we study the spiking and bursting activities related to the respiratory rhythms in the pre-Botzinger complex based on a mathematical model proposed by Butera. Using the one-dimensional first recurrence map induced by dynamics, we investigate the different bursting patterns and their transition of the pre-Botzinger complex neurons based on the Butera model, after we derived a one-dimensional map from the dynamical characters of the differential equations, and we obtained conditions for the transition of different bursting patterns. These analytical results were verified through numerical simulations. We conclude that the one-dimensional map contains similar rhythmic patterns as the Butera model and can be used as a simpler modeling tool to study fast-slow models like pre-Botzinger complex neural circuit.

• 出版日期2016-9
• 单位北方工业大学