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首页> 外文期刊>Bulletin of Mathematical Biology >From Plateau to Pseudo-Plateau Bursting: Making the Transition
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From Plateau to Pseudo-Plateau Bursting: Making the Transition

机译:从高原到伪高原的破裂:过渡

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摘要

Bursting electrical activity is ubiquitous in excitable cells such as neurons and many endocrine cells. The technique of fast/slow analysis, which takes advantage of time scale differences, is typically used to analyze the dynamics of bursting in mathematical models. Two classes of bursting oscillations that have been identified with this technique, plateau and pseudo-plateau bursting, are often observed in neurons and endocrine cells, respectively. These two types of bursting have very different properties and likely serve different functions. This latter point is supported by the divergent expression of the bursting patterns into different cell types, and raises the question of whether it is even possible for a model for one type of cell to produce bursting of the type seen in the other type without large changes to the model. Using fast/slow analysis, we show here that this is possible, and we provide a procedure for achieving this transition. This suggests that the design principles for bursting in endocrine cells are just quantitative variations of those for bursting in neurons.
机译:在兴奋性细胞如神经元和许多内分泌细胞中普遍存在爆发性电活动。利用时标差异的快速/慢速分析技术通常用于分析数学模型中爆发的动力学。用这种技术已经鉴定出两类爆发振荡,即高原和假高原爆发,通常分别在神经元和内分泌细胞中观察到。这两种类型的突发具有非常不同的属性,并且可能具有不同的功能。后一种观点得到了爆发模式向不同细胞类型的不同表达的支持,并提出了一个问题,即一种细胞类型的模型是否有可能产生另一种类型的细胞爆发而没有大的变化到模型。使用快速/慢速分析,我们在这里表明这是可能的,并且提供了实现此过渡的过程。这表明内分泌细胞破裂的设计原理只是神经元破裂的定量变化。

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