Tree-oriented analysis of brain artery structure
Statistical analysis of magnetic resonance angiography (MRA) brain artery trees is performed using two methods for mapping brain artery trees to points in phylogenetic treespace: cortical landmark correspondence and descendant correspondence. The differences in end-results based on these mappings are highlighted to emphasize the importance of correspondence in tree-oriented data analysis. Representation of brain artery systems as points in phylogenetic treespace, a mathematical space developed in (Billera et al. Adv. Appl. Math 27:733–767, 2001), facilitates this analysis. The phylogenetic treespace is a rich setting for tree-oriented data analysis. The Fréchet sample mean or an approximation is reported. Multidimensional scaling is used to explore structure in the data set based on pairwise distances between data points. This analysis of MRA data shows a statistically significant effect of age and sex on brain artery structure. Variation in the proximity of brain arteries to the cortical surface results in strong statistical difference between sexes and statistically significant age effect. That particular observation is possible with cortical correspondence but did not show up in the descendant correspondence.
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Related Subject Headings
- Artificial Intelligence & Image Processing
- 4901 Applied mathematics
- 4606 Distributed computing and systems software
- 4603 Computer vision and multimedia computation
- 0802 Computation Theory and Mathematics
- 0801 Artificial Intelligence and Image Processing
- 0102 Applied Mathematics
Citation
Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Artificial Intelligence & Image Processing
- 4901 Applied mathematics
- 4606 Distributed computing and systems software
- 4603 Computer vision and multimedia computation
- 0802 Computation Theory and Mathematics
- 0801 Artificial Intelligence and Image Processing
- 0102 Applied Mathematics