Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular abnormalities in HIV/AIDS

Yalin Wang, Jie Zhang, Boris Gutman, Tony F. Chan, James T. Becker, Howard J. Aizenstein, Oscar L. Lopez, Robert J. Tamburo, Arthur W. Toga, Paul M. Thompson

Research output: Contribution to journalArticle

60 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2141-2157
Number of pages17
JournalNeuroImage
Volume49
Issue number3
DOIs
StatePublished - Feb 1 2010
Externally publishedYes

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Acquired Immunodeficiency Syndrome
HIV
Brain

ASJC Scopus subject areas

  • Cognitive Neuroscience
  • Neurology

Cite this

Wang, Y., Zhang, J., Gutman, B., Chan, T. F., Becker, J. T., Aizenstein, H. J., ... Thompson, P. M. (2010). Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular abnormalities in HIV/AIDS. NeuroImage, 49(3), 2141-2157. https://doi.org/10.1016/j.neuroimage.2009.10.086

Multivariate tensor-based morphometry on surfaces : Application to mapping ventricular abnormalities in HIV/AIDS. / Wang, Yalin; Zhang, Jie; Gutman, Boris; Chan, Tony F.; Becker, James T.; Aizenstein, Howard J.; Lopez, Oscar L.; Tamburo, Robert J.; Toga, Arthur W.; Thompson, Paul M.

In: NeuroImage, Vol. 49, No. 3, 01.02.2010, p. 2141-2157.

Research output: Contribution to journalArticle

Wang, Y, Zhang, J, Gutman, B, Chan, TF, Becker, JT, Aizenstein, HJ, Lopez, OL, Tamburo, RJ, Toga, AW & Thompson, PM 2010, 'Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular abnormalities in HIV/AIDS', NeuroImage, vol. 49, no. 3, pp. 2141-2157. https://doi.org/10.1016/j.neuroimage.2009.10.086
Wang, Yalin ; Zhang, Jie ; Gutman, Boris ; Chan, Tony F. ; Becker, James T. ; Aizenstein, Howard J. ; Lopez, Oscar L. ; Tamburo, Robert J. ; Toga, Arthur W. ; Thompson, Paul M. / Multivariate tensor-based morphometry on surfaces : Application to mapping ventricular abnormalities in HIV/AIDS. In: NeuroImage. 2010 ; Vol. 49, No. 3. pp. 2141-2157.
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