北京生物医学工程

两房室神经元模型的分岔现象

Bifurcation Phenomenon in a Two-Compartment Neuron Model

作者：马丹刘深泉汪雷

单位：华南理工大学理学院数学系(广州510640)

分类号：

出版年·卷·期（页码）：2011·30·6（567-573）

摘要：

目的神经元放电模式的研究一直是计算神经科学领域的研究热点。方法本文运用非线性动力学方法，理论分析了在不同电生理参数改变的情况下，一类双房室锥体神经元模型中可能存在的各种周期放电模式以及不同放电模式之间的转移，并对模式转移过程中出现的各种非线性分岔现象做了深入探讨。结果数值分析结果揭示了该两房室神经元信息传导过程中的倍周期分岔现象。不仅得到复杂的放电节律序列,并且发现了分岔序列结构。结论为更进一步认识神经元模型中复杂多样的放电模式和不同模式转移中所出现的周期分岔结构提供了线索。

Objective The research of neuron firing pattern is one hotspot in computational neuroscience. Methods In this paper, we discussed the neuronal firing sequences in different electrophysiological parameters and made a detailed analysis of the various periodic firing patterns and transitions between these patterns possibly existed in this two-compartment pyramidal neuron model with the method of nonlinear dynamics. The further discussion of the nonlinear bifurcations appeared in the process of the pattern transitions were also completed. Results These numerical results revealed the periodic doubling bifurcation phenomenon in the process of the information transitions in this two-compartment neuron model. Not only complicated firing patterns but also the structure of bifurcation sequences was obtained. Conclusions This study provides many clues in further understanding of the variety of firing patterns and the periodic bifurcation phenomenon in the transitions of different firing patterns.

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