Dynamics of ramping bursts in a respiratory neuron model
Dynamics of ramping bursts in a respiratory neuron model
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DOI：
10.1007/s10827-021-00800-w
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发表时间：
2021-05
影响因子：
1.2
通讯作者：
Muhammad U. Abdulla;Ryan S. Phillips;J. Rubin
中科院分区：
文献类型：
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作者：
Muhammad U. Abdulla;Ryan S. Phillips;J. Rubin
密集的计算和理论工作导致了哺乳动物脑干前BötC复合体（pre-BötC）呼吸神经元爆发的多种数学模型的发展。尽管如此，这些先前的模型尚未捕获这些神经元的活动模式的吸气前斜坡方面，其中相对缓慢的紧张性尖峰逐渐发展为更快的尖峰和全面爆发，相应地逐渐发展潜在的平台电位。在这项工作中，我们表明，将细胞外钾离子浓度的动态纳入现有的模型前BötC神经元爆发，沿着一些参数的调整，足以引起这种斜坡行为。使用快-慢分解，我们表明，这种活动可以被认为是一种形式的抛物线爆发，但爆发终止在同宿分支，而不是作为SNIC分叉。我们还研究了这些解决方案的参数依赖性，并表明，该模型产生更大的动态范围的突发频率，持续时间和占空比文献中的其他模型。
Intensive computational and theoretical work has led to the development of multiple mathematical models for bursting in respiratory neurons in the pre-Bötzinger Complex (pre-BötC) of the mammalian brainstem. Nonetheless, these previous models have not captured the pre-inspiratory ramping aspects of these neurons’ activity patterns, in which relatively slow tonic spiking gradually progresses to faster spiking and a full-blown burst, with a corresponding gradual development of an underlying plateau potential. In this work, we show that the incorporation of the dynamics of the extracellular potassium ion concentration into an existing model for pre-BötC neuron bursting, along with some parameter adjustments, suffices to induce this ramping behavior. Using fast-slow decomposition, we show that this activity can be considered as a form of parabolic bursting, but with burst termination at a homoclinic bifurcation rather than as a SNIC bifurcation. We also investigate the parameter-dependence of these solutions and show that the proposed model yields a greater dynamic range of burst frequencies, durations, and duty cycles than those produced by other models in the literature.