Qi Y, Watts A L, Kim J W, Robinson P A
School of Physics, The University of Sydney, Sydney, NSW 2006, Australia.
Biol Cybern. 2013 Feb;107(1):15-24. doi: 10.1007/s00422-012-0520-8. Epub 2012 Sep 19.
Responding to various stimuli, some neurons either remain resting or can fire several distinct patterns of action potentials, such as spiking, bursting, subthreshold oscillations, and chaotic firing. In particular, Wilson's conductance-based neocortical neuron model, derived from the Hodgkin-Huxley model, is explored to understand underlying mechanisms of the firing patterns. Phase diagrams describing boundaries between the domains of different firing patterns are obtained via extensive numerical computations. The boundaries are further studied by standard instability analyses, which demonstrates that the chaotic neural firing could develop via period-doubling and/or period- adding cascades. Sequences of the firing patterns often observed in many neural experiments are also discussed in the phase diagram framework developed. Our results lay the groundwork for wider use of the model, especially for incorporating it into neural field modeling of the brain.
响应各种刺激时，一些神经元要么保持静息状态，要么能够产生几种不同模式的动作电位，如脉冲发放、爆发式发放、阈下振荡和混沌发放。特别是，我们探索了源自霍奇金-赫胥黎模型的基于威尔逊电导的新皮层神经元模型，以了解发放模式的潜在机制。通过大量的数值计算，获得了描述不同发放模式区域之间边界的相图。通过标准的不稳定性分析对这些边界进行了进一步研究，结果表明混沌神经发放可能通过倍周期和/或加周期级联发展而来。在开发的相图框架中，还讨论了在许多神经实验中经常观察到的发放模式序列。我们的结果为该模型的更广泛应用奠定了基础，特别是将其纳入大脑的神经场建模中。
