The field of connectomics has introduced new computational tools to the system neuroscience domain, facilitating novel investigations into the mechanisms of the human brain. While methodological advancements in connectomics have found numerous applications with exciting interpretations, a systematic analysis on the reliability and reproducibility of the results and inferences drawn from the findings is still missing. We aim to fill this gap by studying the reproducibility of connectomics findings on diffusion data that has been collected at different sites with varying acquisition protocols. Structural network properties at local, meso, and global scales were investigated to determine what is different and what is preserved in the presence of site related variation. Our comprehensive investigation revealed that despite significant differences between local and global properties, the topological features were mostly preserved.
1- Datasets: The network properties are investigated on two datasets that are age and sex matched:
Site1: 95 healthy subjects from the Philadelphia Neurodevelopmental Cohort1 (TR/TE=8100/82ms, b=1000s/mm2 , 64 weighted diffusion gradients, and a spatial resolution of 1.875x1.875x2mm).
Site2: 95 healthy subjects that served as controls for an autism spectrum disorder study2 (TR/TE=11,000/76ms, b=1000s/mm2, 30 weighted diffusion gradients, and 2mm isotropic spatial resolution).
2- Creation of Structural Connectomes: Brains were parcellated into 86 cortical and subcortical regions of the Desikan-Killiany atlas3. Probabilistic tracking was carried out between each pair of ROIs with default parameters (2 fibers per voxel, 5000 individual pathways). As such, an 86x86 connectivity matrix was constructed for each subject. The edge weights were the raw number of streamlines connecting ROIs. In order to study the dependence of results on thresholding choices, we used multiple threshold levels, resulting in network densities between 0.10 and 0.30. Binary representations at each density level were obtained.
3- Network Properties that are investigated: This analysis was carried at three levels: global, local, and meso scales, for both weighted and binary graphs:
a-Global: We computed three measures: global efficiency, assortativity, and transitivity4 (Fig.1).
b-Local: We computed node degree/strength, local efficiency, and betweenness centrality for every node4 (Fig.2).
c-Mesoscale: Brain hubs were defined as nodes with high centrality and degree (Fig.3). We used community detection (Louvain method) to determine the brain subnetworks4 (Fig.4).
4- Statistical Analysis: Two-sample t-test was used to assess the difference in mean of global properties for both binary and weighted graphs (Fig.1). Due to the non-normal distribution of the local properties within sites, we used a nonparametric test, Mann-Whitney U, to quantify the observed differences (Fig.2). Additionally, we computed the Rank-Biserial correlation from the nonparametric test to present the effect size. With the brain hubs, we determined the significant network hubs in each site by testing the zero-median hypothesis to find significant hub-nodes. Using two-proportion z-test, the rate of success of each node as a brain-hub was compared between sites to quantify both preserved and non-preserved hubs. Regarding the brain subnetworks, we computed a consensus of brain subnetworks5 to obtain a representative for community structures in each site (Fig.4). Finally, we computed cosine similarities for both hubs and subnetworks, and compared the similarities observed to the distribution obtained from permuting subjects across sites.
1- Satterthwaite, T.D., et al., The Philadelphia Neurodevelopmental Cohort: A publicly available resource for the study of normal and abnormal brain development in youth. Neuroimage, 2016. 124(Pt B): p. 1115-9.
2- Ghanbari, Y., et al., Identifying group discriminative and age regressive sub-networks from DTI-based connectivity via a unified framework of non-negative matrix factorization and graph embedding. Med Image Anal, 2014. 18(8): p. 1337-48.
3- Desikan, R.S., et al., An automated labeling system for subdividing the human cerebral cortex on MRI scans into gyral based regions of interest. Neuroimage, 2006. 31(3): p. 968-980.
4- Rubinov, M. and O. Sporns, Complex network measures of brain connectivity: uses and interpretations. Neuroimage, 2010. 52(3): p. 1059-69.
5- Doron, D., et al., Dynamic network structure of interhemispheric coordination. PNAS, 2012, 109 (46) 18627-18628.