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3M_BANTOR: A regression framework for multitask and multisession brain network distance metrics.

Chal E Tomlinson1, Paul J Laurienti2,3, Robert G Lyday2,3

  • 1Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA.

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|June 19, 2023
PubMed
Summary

This study introduces a new statistical framework, 3M-BANTOR, to link multiple brain network features to traits. This advances understanding of brain function and individual differences.

Keywords:
ConnectivityGraph theoryHuman Connectome Project (HCP)JaccardKolmogorov–SmirnovLog-Euclidean Riemannian metricMixed modelNeuroimagingPearson correlation distanceRepeated observationsRiemannian manifold distancefMRI

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Area of Science:

  • Neuroscience
  • Network Science
  • Biostatistics

Background:

  • Brain network analysis is crucial for understanding brain function, but statistical methods linking network architecture to phenotypic traits are underdeveloped.
  • Previous work established a regression framework for single-task brain networks and phenotypic differences.
  • Extending this to multitask and multisession contexts is necessary for comprehensive brain analysis.

Purpose of the Study:

  • To extend a novel analytic framework for assessing relationships between brain network architecture and phenotypic traits.
  • To develop methods for multitask and multisession brain network analyses, accommodating multiple networks per individual.
  • To compare the performance of various statistical approaches, including a novel mixed-model (3M-BANTOR), against existing methods.

Main Methods:

  • Developed an extended regression framework for multitask and multisession brain network data.
  • Explored similarity metrics for comparing brain connection matrices and adapted standard statistical tests (F-test, F-test with SLE).
  • Proposed a novel mixed-model approach (3M-BANTOR) and a simulation strategy for symmetric positive-definite matrices on the Riemannian manifold.

Main Results:

  • Simulation studies evaluated estimation and inference across different methods, including comparisons with multivariate distance matrix regression (MDMR).
  • The 3M-BANTOR model demonstrated utility in analyzing the relationship between fluid intelligence and brain network distances using Human Connectome Project (HCP) data.

Conclusions:

  • The developed framework and 3M-BANTOR model provide advanced tools for relating complex brain network structures to phenotypic variations.
  • This work bridges the gap in statistical methodologies for multitask and multisession brain network research.
  • The findings highlight the potential for deeper insights into brain organization and its connection to cognitive functions like fluid intelligence.