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在神经元-星细胞相互作用的现象学模型中的蓝天灾难

Nikita V Barabash^1,2, Tatiana A Levanova¹, Lev A Smirnov¹

¹Control Theory Department, Lobachevsky University, Gagarin ave, 23, Nizhny Novgorod 603022, Russia.

Chaos (Woodbury, N.Y.)

|December 11, 2024

概括

我们在神经元-星细胞模型中确定了增加周期的分支级联,解释了神经元群体从爆发到尖端活动的过渡.

科学领域:

计算神经科学是一种计算神经科学.
数学生物学的数学生物学
天体物理学天体物理学

背景情况:

神经元活动表现出复杂的动态,包括爆发和尖端模式.
天体细胞相互作用调节神经元网络行为.
了解这些活动状态之间的过渡对于神经科学至关重要.

研究的目的:

调查从爆发到尖端活动的转变背后的分叉机制.
分析神经元-星细胞相互作用在塑造神经元人口动态中的作用.
阐明管理这些动态状态变化的数学原理.

主要方法:

对神经元-星细胞相互作用的现象学模型的数值模拟.
构建一个一维的庞卡雷返回地图.
分析分析地图的片面光滑模型地图,以揭示分叉结构.

主要成果:

确定了一连串增加周期的分支.
爆发尖峰的过渡被证明是通过蓝天灾难发生的.
庞卡雷返回地图有效地说明了复杂的分叉场景.

结论:

神经元-星细胞相互作用可以导致神经元群体中复杂的动态和状态过渡.
添加周期的分叉为从爆发到尖端活动的过渡提供了一个机制.
数学建模和分析是理解神经动态的强大工具.

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