Abstract
Here we developed a new method, called multivariate tensor-based surface morphometry (TBM), and applied it to study lateral ventricular surface differences associated with HIV/AIDS. Using concepts from differential geometry and the theory of differential forms, we created mathematical structures known as holomorphic one-forms, to obtain an efficient and accurate conformal parameterization of the lateral ventricular surfaces in the brain. The new meshing approach also provides a natural way to register anatomical surfaces across subjects, and improves on prior methods as it handles surfaces that branch and join at complex 3D junctions. To analyze anatomical differences, we computed new statistics from the Riemannian surface metrics-these retain multivariate information on local surface geometry. We applied this framework to analyze lateral ventricular surface morphometry in 3D MRI data from 11 subjects with HIV/AIDS and 8 healthy controls. Our method detected a 3D profile of surface abnormalities even in this small sample. Multivariate statistics on the local tensors gave better effect sizes for detecting group differences, relative to other TBM-based methods including analysis of the Jacobian determinant, the largest and smallest eigenvalues of the surface metric, and the pair of eigenvalues of the Jacobian matrix. The resulting analysis pipeline may improve the power of surface-based morphometry studies of the brain.
Original language | English (US) |
---|---|
Pages (from-to) | 2141-2157 |
Number of pages | 17 |
Journal | NeuroImage |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Feb 1 2010 |
Externally published | Yes |
Bibliographical note
Funding Information:This work was funded by the National Institutes of Health through the NIH Roadmap for Medical Research, Grant U54 RR021813 entitled Center for Computational Biology (CCB). Additional support was provided by the National Institute on Aging ( AG021431 to JTB, AG05133 to OLL, and AG016570 to PMT), the National Library of Medicine, the National Institute for Biomedical Imaging and Bioengineering , and the National Center for Research Resources ( LM05639 , EB01651 , RR019771 to PMT, AI035041 and DA025986 to JTB).
ASJC Scopus subject areas
- Neurology
- Cognitive Neuroscience