Brackley C A, Turner M S
Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jan;79(1 Pt 1):011918. doi: 10.1103/PhysRevE.79.011918. Epub 2009 Jan 22.
We study the effect of random inhomogeneous connections on a continuous field description of neural tissue. We focus on a regime in which persistent random fluctuations in activity arise spontaneously in the absence of either time-varying or spatially inhomogeneous input. While present in real tissue and network models of discrete neurons, such behavior has not been reported in continuum models of this type. The activity contains frequencies similar to those seen experimentally. We consider a power-law envelope r(-alpha) for the inhomogeneity and present evidence that the statistical coherence (a measure of two-point correlation) rapidly percolates across the system as alpha is reduced below alphac approximately 1,2 in one and two dimensions, respectively.
我们研究了随机非均匀连接对神经组织连续场描述的影响。我们关注的是这样一种情况：在没有随时间变化或空间不均匀输入的情况下，活动中会自发出现持续的随机波动。虽然这种行为存在于离散神经元的真实组织和网络模型中，但在这种类型的连续模型中尚未有报道。该活动包含与实验中观察到的频率相似的频率。我们考虑不均匀性的幂律包络r(-α)，并给出证据表明，当α分别在一维和二维中降低到低于临界值αc≈1.2时，统计相干性（两点相关性的一种度量）会迅速在整个系统中渗流。
