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Bifurcation analysis of mixed bursting in the pre-Boetzinger complex

机译：预布特津格复合体中混合爆裂的分叉分析

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Bursting activities of certain neurons in the pre-Botzinger complex (pre-BotC) of the mammalian brainstem have been extensively studied both experimentally and computationally due to their relationship with the inspiratory phase of respiration. Investigations shown that both the persistent sodium current (I-Nap) and the intracellular Ca2+ actived nonspecific cation (I-CAN) can drive the bursting in the pre-BotC. The two mechanisms can act separately or jointly. Bursting evoked by the joint action of the two mechanisms is often called the somato-dendritic bursting. One special somato-dendritic bursting observed experimentally is the so called mixed bursting (MB) characterized by combining two or more different types of short bursts within each cycle of a periodic bursting solution. In this paper, we explore MB solutions in a single-compartment model of a pre-BOtC inspiratory neuron. We show that the system can exhibit multiple patterns of MB that containing two or three different types of bursts in one periodic cycle. Using the methods of fast-slow decomposition and bifurcation analysis, we study the dynamical mechanisms underlying those MB, and investigate how the sodium conductance (gNa) and the potassium conductance (g(K)) affect MB patterns of the pre-BOtC. Furthermore, we also elucidate the effect of parameters g(K) and g(L) on the number of somatic bursts in an MB solution. (C) 2018 Elsevier Inc. All rights reserved.
机译：由于哺乳动物脑干的前Botzinger复合体（pre-BotC）中某些神经元的爆发活动，由于它们与呼吸的吸气阶段有关，因此已经在实验和计算上进行了广泛研究。研究表明，持续的钠电流（I-Nap）和细胞内Ca2 +活化的非特异性阳离子（I-CAN）均可驱动pre-BotC中的爆发。这两种机制可以分别或共同起作用。两种机制共同作用引起的爆裂通常称为躯体树突爆发。实验上观察到的一种特殊的躯体树突状爆发是所谓的混合爆发（MB），其特征在于在周期性爆发解决方案的每个周期内组合两种或更多种不同类型的短爆发。在本文中，我们在BOtC吸气前神经元的单室模型中探索MB解决方案。我们展示了该系统可以在一个周期性周期内展现出包含两种或三种不同类型突发的MB的多种模式。使用快速慢速分解和分叉分析的方法，我们研究了这些MB背后的动力学机制，并研究了钠电导（gNa）和钾电导（g（K））如何影响前BOtC的MB模式。此外，我们还阐明了参数g（K）和g（L）对MB解决方案中体细胞猝发数量的影响。 （C）2018 Elsevier Inc.保留所有权利。

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