IEEE Trans Med Imaging. 2022 Oct;41(10):2670-2680. doi: 10.1109/TMI.2022.3168888. Epub 2022 Sep 30.
The analysis of connectivity between parcellated regions of cortex provides insights into the functional architecture of the brain at a systems level. However, the derivation of functional structures from voxel-wise analyses at finer scales remains a challenge. We propose a novel method, called localized topo-connectivity mapping with singular-value-decomposition-informed filtering (or filtered LTM), to identify and characterize voxel-wise functional structures in the human brain from resting-state fMRI data. Here we describe its mathematical formulation and provide a proof-of-concept using simulated data that allow an intuitive interpretation of the results of filtered LTM. The algorithm has also been applied to 7T fMRI data acquired as part of the Human Connectome Project to generate group-average LTM images. Generally, most of the functional structures revealed by LTM images agree in the boundaries with anatomical structures identified by T1-weighted images and fractional anisotropy maps derived from diffusion MRI. In addition, the LTM images also reveal subtle functional variations that are not apparent in the anatomical structures. To assess the performance of LTM images, the subcortical region and occipital white matter were separately parcellated. Statistical tests were performed to demonstrate that the synchronies of fMRI signals in LTM-derived functional parcels are significantly larger than those with geometric perturbations. Overall, the filtered LTM approach can serve as a tool to investigate the functional organization of the brain at the scale of individual voxels as measured in fMRI.
皮质分区之间的连通性分析为在系统水平上研究大脑的功能结构提供了深入的见解。然而,从更细的尺度上的体素分析来推导出功能结构仍然是一个挑战。我们提出了一种新的方法,称为基于奇异值分解滤波的局部拓扑连通性映射(filtered LTM),用于从静息态 fMRI 数据中识别和描述人类大脑中的体素水平功能结构。在这里,我们描述了它的数学公式,并使用模拟数据提供了一个概念验证,允许对 filtered LTM 的结果进行直观的解释。该算法还应用于作为人类连接组计划的一部分采集的 7T fMRI 数据,以生成组平均的 LTM 图像。通常,LTM 图像揭示的大多数功能结构在边界上与 T1 加权图像和从弥散 MRI 得出的各向异性分数图所识别的解剖结构一致。此外,LTM 图像还揭示了在解剖结构中不明显的微妙功能变化。为了评估 LTM 图像的性能,将皮质下区域和枕叶白质分别分割成若干部分。进行了统计测试以证明 fMRI 信号在 LTM 衍生的功能区中的同步性明显大于具有几何干扰的同步性。总体而言,filtered LTM 方法可以作为一种工具,用于研究 fMRI 测量的个体体素尺度上的大脑功能组织。