Li Shanshan
Department of Physics, Emory University, Atlanta, Georgia 30322, USA.
Phys Rev E. 2017 Mar;95(3-1):032306. doi: 10.1103/PhysRevE.95.032306. Epub 2017 Mar 6.
The Griffiths phase has been proposed to induce a stretched critical regime that facilitates self-organizing of brain networks for optimal function. This phase stems from the intrinsic structural heterogeneity of brain networks, i.e., the hierarchical modular structure. In this work, the Griffiths phase is studied in modified hierarchical networks with small-world connections based on the 3-regular Hanoi network. Through extensive simulations, the hierarchical level-dependent inter-module wiring probabilities are identified to determine the emergence of the Griffiths phase. Numerical results and the complementary spectral analysis of the relevant networks can be helpful for a deeper understanding of the essential structural characteristics of finite-dimensional networks to support the Griffiths phase.
有人提出，格里菲斯相会引发一种拉伸临界状态，这种状态有助于大脑网络进行自组织以实现最佳功能。该相源于大脑网络的内在结构异质性，即层次模块化结构。在这项工作中，基于三维正则河内网络，在具有小世界连接的改进层次网络中研究了格里菲斯相。通过广泛的模拟，确定了与层次级别相关的模块间布线概率，以确定格里菲斯相的出现。相关网络的数值结果和互补谱分析有助于更深入地理解有限维网络的基本结构特征，以支持格里菲斯相。
