论文标题

切线功能连接群发现更独特的表型特征

Tangent functional connectomes uncover more unique phenotypic traits

论文作者

Abbas, Kausar, Liu, Mintao, Wang, Michael, Duong-Tran, Duy, Tipnis, Uttara, Amico, Enrico, Kaplan, Alan D., Dzemidzic, Mario, Kareken, David, Ances, Beau M., Harezlak, Jaroslaw, Goñi, Joaquín

论文摘要

功能连接组(FC)包含基于大脑区域活动对的功能耦合的成对估计。 FC通常表示为相关矩阵,它们是在SPD歧管上或内部的对称阳性定位(SPD)。由于SPD歧管上的几何形状是非欧几里得的,因此FC的相互关联条目破坏了基于欧几里得的距离的使用。通过将FC投射到切线空间中,我们可以获得切线功能连接组(切线-FC)。切线-FC显示出更高的行为和认知能力,但是没有研究评估此类投影对指纹的影响。我们假设切线-FC的指纹高于常规FCS。指纹识别是通过测试 - 重测FC以及单卵双胞胎的识别率(ID率)测量的。我们的结果表明,使用切线FCS时,识别率在系统上更高。具体来说,我们发现:(i)Riemann和Log-Euclidean矩阵参考系统地导致ID率更高。 (ii)在切线-FC中,在使用欧几里得距离时,在切线空间投影之前的主对法正则化对ID率至关重要,而使用相关距离时,几乎没有影响ID率。 (iii)ID率取决于状况和fMRI扫描长度。 (iv)分析粒度是FCS以及具有固定正则化的切线FC中ID率的关键,而切线FC的最佳正则化主要消除了此效果。 (v)切线-FC中的相关距离的表现优于FCS上的任何其他距离或指纹梯度上的切线FC上的任何其他配置(此处通过评估重测,单卵和二氮基双胞胎进行抽样)。 (vi)与静止状态扫描相比,ID率往往更高。

Functional connectomes (FCs) contain pairwise estimations of functional couplings based on pairs of brain regions activity. FCs are commonly represented as correlation matrices that are symmetric positive definite (SPD) lying on or inside the SPD manifold. Since the geometry on the SPD manifold is non-Euclidean, the inter-related entries of FCs undermine the use of Euclidean-based distances. By projecting FCs into a tangent space, we can obtain tangent functional connectomes (tangent-FCs). Tangent-FCs have shown a higher predictive power of behavior and cognition, but no studies have evaluated the effect of such projections with respect to fingerprinting. We hypothesize that tangent-FCs have a higher fingerprint than regular FCs. Fingerprinting was measured by identification rates (ID rates) on test-retest FCs as well as on monozygotic and dizygotic twins. Our results showed that identification rates are systematically higher when using tangent-FCs. Specifically, we found: (i) Riemann and log-Euclidean matrix references systematically led to higher ID rates. (ii) In tangent-FCs, Main-diagonal regularization prior to tangent space projection was critical for ID rate when using Euclidean distance, whereas barely affected ID rates when using correlation distance. (iii) ID rates were dependent on condition and fMRI scan length. (iv) Parcellation granularity was key for ID rates in FCs, as well as in tangent-FCs with fixed regularization, whereas optimal regularization of tangent-FCs mostly removed this effect. (v) Correlation distance in tangent-FCs outperformed any other configuration of distance on FCs or on tangent-FCs across the fingerprint gradient (here sampled by assessing test-retest, Monozygotic and Dizygotic twins). (vi)ID rates tended to be higher in task scans compared to resting-state scans when accounting for fMRI scan length.

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