Biostatistical Sciences, Wake Forest University School of Medicine, Winston-Salem, NC 27157, USA.
Neuroimage. 2010 Apr 1;50(2):499-508. doi: 10.1016/j.neuroimage.2009.12.051. Epub 2009 Dec 21.
Small-world networks are a class of networks that exhibit efficient long-distance communication and tightly interconnected local neighborhoods. In recent years, functional and structural brain networks have been examined using network theory-based methods, and consistently shown to have small-world properties. Moreover, some voxel-based brain networks exhibited properties of scale-free networks, a class of networks with mega-hubs. However, there are considerable inconsistencies across studies in the methods used and the results observed, particularly between region-based and voxel-based brain networks. We constructed functional brain networks at multiple resolutions using the same resting-state fMRI data, and compared various network metrics, degree distribution, and localization of nodes of interest. It was found that the networks with higher resolutions exhibited the properties of small-world networks more prominently. It was also found that voxel-based networks were more robust against network fragmentation compared to region-based networks. Although the degree distributions of all networks followed an exponentially truncated power law rather than true power law, the higher the resolution, the closer the distribution was to a power law. The voxel-based analyses also enhanced visualization of the results in the 3D brain space. It was found that nodes with high connectivity tended have high efficiency, a co-localization of properties that was not as consistently observed in the region-based networks. Our results demonstrate benefits of constructing the brain network at the finest scale the experiment will permit.
小世界网络是一类表现出高效长距离通信和紧密局部连接的网络。近年来,使用基于网络理论的方法对功能和结构脑网络进行了研究,一致显示出小世界特性。此外,一些体素脑网络表现出无标度网络的特性,这是一类具有巨型枢纽的网络。然而,在使用的方法和观察到的结果方面,不同研究之间存在相当大的不一致,特别是在基于区域的和基于体素的脑网络之间。我们使用相同的静息态 fMRI 数据在多个分辨率下构建功能脑网络,并比较了各种网络指标、度分布和感兴趣节点的定位。结果发现,分辨率更高的网络表现出更明显的小世界网络特性。还发现,与基于区域的网络相比,基于体素的网络对网络碎片化更具有鲁棒性。尽管所有网络的度分布都遵循指数截断幂律而不是真正的幂律,但分辨率越高,分布越接近幂律。基于体素的分析还增强了在 3D 脑空间中结果的可视化。结果发现,具有高连通性的节点往往具有高效率,这种性质的共定位在基于区域的网络中并不总是一致观察到的。我们的结果表明,在实验允许的最细尺度上构建脑网络具有优势。