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Gradient synchronization for multivariate functional data, with application to brain connectivity.

Yaqing Chen1, Shu-Chin Lin2, Yang Zhou2

  • 1Department of Statistics, Rutgers University, New Brunswick, New Jersey, USA.

Journal of the Royal Statistical Society. Series B, Statistical Methodology
|July 15, 2024
PubMed
Summary
This summary is machine-generated.

We introduce new gradient synchronization measures to quantify dynamic functional connectivity in brain imaging. These methods improve the discrimination of disease status in Alzheimer's patients using resting-state fMRI data.

Keywords:
Alzheimer’s diseasePearson correlationconcordancefMRIfunctional connectivityfunctional data analysis

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Area of Science:

  • Statistics
  • Neuroimaging
  • Functional Data Analysis

Background:

  • Functional connectivity analysis in neuroimaging, particularly using functional magnetic resonance imaging (fMRI), is crucial for understanding brain function.
  • Traditional methods like static temporal Pearson correlation have limitations in capturing the dynamic nature of brain connectivity.
  • Recent studies highlight the importance of dynamic functional connectivity, necessitating advanced similarity measures.

Purpose of the Study:

  • To develop novel similarity measures for multivariate random curves that capture dynamic functional features.
  • To introduce gradient synchronization measures for assessing dynamic functional connectivity.
  • To evaluate the proposed measures in simulations and real-world neuroimaging data.

Main Methods:

  • Development of gradient synchronization measures based on the concordance and discordance of gradients between paired smooth random functions.
  • Theoretical analysis to obtain asymptotic normality of the proposed estimates under regularity conditions.
  • Application and validation using simulated data and resting-state fMRI signals from the Alzheimer's Disease Neuroimaging Initiative.

Main Results:

  • The proposed gradient synchronization measures effectively quantify dynamic functional similarity between random curves.
  • Asymptotic normality of the estimators was established, providing a theoretical foundation for the methods.
  • Application to Alzheimer's Disease Neuroimaging Initiative data demonstrated improved discrimination between subjects with different disease statuses.

Conclusions:

  • Gradient synchronization offers a powerful new approach for analyzing dynamic functional connectivity.
  • These measures enhance the ability to differentiate between healthy and diseased states in neuroimaging studies.
  • The findings have significant implications for advancing functional brain connectivity research and clinical applications.