神经元-星形胶质细胞相互作用的现象学模型中的蓝天突变。

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2024-12-01 DOI:10.1063/5.0231551

Nikita V Barabash, Tatiana A Levanova, Lev A Smirnov

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引用次数: 0

摘要

我们研究了在神经元群体中神经元-星形胶质细胞相互作用的现象学模型中对应于从爆发活动到尖峰的转变的分岔情景。为了做到这一点，我们在数值上获得了一维庞加莱返回映射，并使用解析构造的分段光滑模型映射突出了它的分支结构。这张图揭示了一系列增加周期的分岔的存在，导致了通过蓝天灾难的爆发尖峰转变。

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Blue sky catastrophe in the phenomenological model of neuron-astrocyte interaction.

We study a bifurcation scenario that corresponds to the transition from bursting activity to spiking in a phenomenological model of neuron-astrocyte interaction in neuronal populations. In order to do this, we numerically obtain one-dimensional Poincaré return map and highlight its bifurcation structure using an analytically constructed piecewise smooth model map. This map reveals the existence of a cascade of period-adding bifurcations, leading to a bursting-spiking transition via blue sky catastrophe.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.