Clewley Robert
Neuroscience Institute and Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303 USA.
J Biol Phys. 2011 Jun;37(3):285-306. doi: 10.1007/s10867-011-9220-1. Epub 2011 Mar 17.
This paper illustrates an informatic technique for inferring and quantifying the dynamic role of a single intrinsic current in a mechanism of neural bursting activity. We analyze the patterns of the most dominant currents in a model of half-center oscillation in the leech heartbeat central pattern generator. We find that the patterns of dominance change substantially over a cycle, allowing different local reductions to be applied to the model. The result is a hybrid dynamical systems model, which is a piecewise representation of the mechanism combining multiple vector fields and discrete state changes. The simulation of such a model tests explicit hypotheses about the mechanism and is a novel way to retain both mathematical clarity and scientific detail in answering mechanistic questions about a complex model. Several insights into the central mechanism of "escape-release" in the model are elucidated by this analysis and compared with previous studies. The broader application and extension of this technique is also discussed.
本文阐述了一种信息学技术，用于推断和量化单个内在电流在神经爆发活动机制中的动态作用。我们分析了水蛭心跳中枢模式发生器中半中心振荡模型中最主要电流的模式。我们发现，主导模式在一个周期内会发生显著变化，从而可以对模型应用不同的局部简化。结果得到一个混合动态系统模型，它是该机制的一种分段表示，结合了多个向量场和离散状态变化。对这样一个模型的模拟检验了关于该机制的明确假设，并且是在回答关于复杂模型的机制问题时保持数学清晰度和科学细节的一种新方法。通过该分析阐明了模型中“逃逸-释放”核心机制的几个见解，并与先前的研究进行了比较。还讨论了该技术更广泛的应用和扩展。
