神经元模型中混合模式振荡动力学研究进展

RESEARCH DEVELOPMENT ON DYNAMICS OF MIXED-MODE OSCILLATIONS IN NEURONAL MODELS

混合模式振荡(mixed-mode oscillations以下简称MMOs)是产生于动力系统中的一种复杂的振荡模式,它在自然界中是普遍存在的.混合模式振荡由一系列的小振幅的振荡和大振幅的振荡共同组成,两种模式的振荡交替出现.文章介绍了在神经元系统中混合模式振荡的研究情况和研究方法,主要分析几何奇异摄动理论在动力系统中混合模式振荡的产生机理的作用,并且介绍前包钦格复合体、内嗅皮层的星状细胞和垂体细胞神经元及腺体细胞的混合模式振荡的动力学研究,简单说明其他神经元模型的混合模式振荡的研究情况.为以后的其他领域的混合模式振荡的研究提供了方法.

Mixed-mode oscillations （MMOs） are a type of complex oscillation mode produced in dynamical systems. They are widespread in nature. Mixed-mode oscillations are made up of a series of small amplitude oscillations and large amplitude of the oscillations, and these two types of oscillations appear alternately. Mixed-mode oscillations in the neuronal system are introduced in this research. The effect of geometric singular perturbation theory on the generating mechanism of mixed mode oscillations in dynamic systems is mainly analyzed, and the research on dynamics of mixed-mode oscillations in the Pre-BotC neural network, stellate cells of entorhinal cortex neurons, pituitary cells and gland cells is also introduced. Additionally, the investigation on mixed-mode oscillations of other neuronal models are briefly presented. All the works will provide a good foundation on further research on mixed mode oscillations of neuronal models in the future.