Subject-Specific Structural Parcellations Based on Randomized AB-divergences

Brain parcellation provides a means to approach the brain in smaller regions. It also affords an appropriate dimensionality reduction in the creation of connectomes. Most approaches to creating connectomes start with registering individual scans to a template, which is then parcellated. Data processing usually ends with the projection of individual scans onto the parcellation for extracting individual biomarkers, such as connectivity signatures. During this process, registration errors can significantly alter the quality of biomarkers. In this paper, we propose to mitigate this issue with a hybrid approach for brain parcellation. We use diffusion MRI (dMRI) based structural connectivity measures to drive the refinement of an anatomical prior parcellation. Our method generates highly coherent structural parcels in native subject space while maintaining interpretability and correspondences across the population. This goal is achieved by registering a population-wide anatomical prior to individual dMRI scan and generating connectivity signatures for each voxel. The anatomical prior is then deformed by re-parcellating the brain according to the similarity between voxel connectivity signatures while constraining the number of parcels. We investigate a broad family of signature similarities known as AB-divergences and explain how a divergence adapted to our segmentation task can be selected. This divergence is used for parcellating a high-resolution dataset using two graph-based methods. The promising results obtained suggest that our approach produces coherent parcels and stronger connectomes than the original anatomical priors.

[1]  Robert E. Tarjan,et al.  Fibonacci heaps and their uses in improved network optimization algorithms , 1987, JACM.

[2]  Timothy Edward John Behrens,et al.  Diffusion-Weighted Imaging Tractography-Based Parcellation of the Human Parietal Cortex and Comparison with Human and Macaque Resting-State Functional Connectivity , 2011, The Journal of Neuroscience.

[3]  Marc Modat,et al.  A Framework for Using Diffusion Weighted Imaging to Improve Cortical Parcellation , 2010, MICCAI.

[4]  Nathan Halko,et al.  Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions , 2009, SIAM Rev..

[5]  Ragini Verma,et al.  Automated tract extraction via atlas based Adaptive Clustering , 2014, NeuroImage.

[6]  Anders M. Dale,et al.  An automated labeling system for subdividing the human cerebral cortex on MRI scans into gyral based regions of interest , 2006, NeuroImage.

[7]  Timothy O. Laumann,et al.  Generation and Evaluation of a Cortical Area Parcellation from Resting-State Correlations. , 2016, Cerebral cortex.

[8]  Daniel Rueckert,et al.  Group-wise parcellation of the cortex through multi-scale spectral clustering , 2016, NeuroImage.

[9]  Mark W. Woolrich,et al.  Probabilistic diffusion tractography with multiple fibre orientations: What can we gain? , 2007, NeuroImage.

[10]  Alex R. Smith,et al.  Sex differences in the structural connectome of the human brain , 2013, Proceedings of the National Academy of Sciences.

[11]  Marianne Juhler,et al.  A novel method for long-term monitoring of intracranial pressure in rats , 2014, Journal of Neuroscience Methods.

[12]  Sergio Cruces,et al.  Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization , 2011, Entropy.

[13]  Rachid Deriche,et al.  Groupwise structural parcellation of the whole cortex: A logistic random effects model based approach , 2017, NeuroImage.

[14]  O. Sporns,et al.  Complex brain networks: graph theoretical analysis of structural and functional systems , 2009, Nature Reviews Neuroscience.

[15]  R. E. Gur,et al.  sGraSP: A graph-based method for the derivation of subject-specific functional parcellations of the brain , 2017, Journal of Neuroscience Methods.

[16]  Anders M. Dale,et al.  Cortical Surface-Based Analysis I. Segmentation and Surface Reconstruction , 1999, NeuroImage.