论文标题
大脑结构连通性通过持续同源性
Tree Representations of Brain Structural Connectivity via Persistent Homology
论文作者
论文摘要
大脑结构连接组是由由扩散加权MRI(DMRI)构成的白质纤维束的集合而产生的,该束充当神经活动的高速公路。研究结构连接组如何在个体各个人的特征方面有很大的兴趣,从年龄和性别到神经精神上的结果。在将拖拉机应用于DMRI以获取白质纤维束后,一个关键问题是如何表示大脑连接组,以促进将连接组与性状相关的统计分析。当前的标准将大脑分为感兴趣的区域(ROI),然后依靠邻接矩阵(AM)表示。 AM中的每个细胞都是连通性的度量,例如一对ROI之间的纤维曲线数量。尽管AM表示是直观的,但缺点是由于矩阵中的细胞数量大量而引起的高维度。本文提出了对大脑连接组的更简单的树表示,这是由计算拓扑中的思想激励的,并考虑了皮质表面上的拓扑和生物学信息。我们证明,我们的树代表保留了有用的信息和解释性,同时降低了维度以提高统计和计算效率。考虑了人类Connectome项目(HCP)数据的应用,并提供了代码以重现我们的分析。
The brain structural connectome is generated by a collection of white matter fiber bundles constructed from diffusion weighted MRI (dMRI), acting as highways for neural activity. There has been abundant interest in studying how the structural connectome varies across individuals in relation to their traits, ranging from age and gender to neuropsychiatric outcomes. After applying tractography to dMRI to get white matter fiber bundles, a key question is how to represent the brain connectome to facilitate statistical analyses relating connectomes to traits. The current standard divides the brain into regions of interest (ROIs), and then relies on an adjacency matrix (AM) representation. Each cell in the AM is a measure of connectivity, e.g., number of fiber curves, between a pair of ROIs. Although the AM representation is intuitive, a disadvantage is the high-dimensionality due to the large number of cells in the matrix. This article proposes a simpler tree representation of the brain connectome, which is motivated by ideas in computational topology and takes topological and biological information on the cortical surface into consideration. We demonstrate that our tree representation preserves useful information and interpretability, while reducing dimensionality to improve statistical and computational efficiency. Applications to data from the Human Connectome Project (HCP) are considered and code is provided for reproducing our analyses.