Department of Physics, Lehigh University, Bethlehem, PA 18015, USA.
Philos Trans A Math Phys Eng Sci. 2010 Dec 28;368(1933):5619-32. doi: 10.1098/rsta.2010.0264.
We study the effect that the heterogeneity present among the elements of an ensemble of coupled excitable neurons has on the collective response of the system to an external signal. We consider two different interaction scenarios, one in which the neurons are diffusively coupled and another in which the neurons interact via pulse-like signals. We find that the type of interaction between the neurons has a crucial role in determining the response of the system to the external modulation. We develop a mean-field theory based on an order parameter expansion that quantitatively reproduces the numerical results in the case of diffusive coupling.
我们研究了耦合兴奋性神经元集合中各元素之间存在的异质性对系统对外部信号的集体响应的影响。我们考虑了两种不同的相互作用情况，一种是神经元通过扩散耦合，另一种是神经元通过脉冲样信号相互作用。我们发现神经元之间的相互作用类型在确定系统对外部调制的响应方面起着至关重要的作用。我们基于序参量展开开发了一种平均场理论，该理论在扩散耦合的情况下定量再现了数值结果。
