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Updated: Aug 14, 2025

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A method for estimating and characterizing explicitly nonlinear dynamic functional network connectivity in

S M Motlaghian1, V Vahidi2, A Belger3

  • 1Tri-institutional Center for Translational Research in Neuroimaging and Data Science (Trends), Georgia State, Georgia Tech, and Emory, Atlanta, GA, USA.

Journal of Neuroscience Methods
|January 18, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method to analyze explicitly nonlinear dynamic functional network connectivity (EN dFNC), revealing unique brain activity patterns. Findings show significant differences in these nonlinear connections between schizophrenia patients and healthy controls.

Keywords:
Dynamic nonlinear functional network connectivityExplicitly nonlinearIndependent component analysis (ICA)Intrinsic connectivity networks (ICNs)Mutual information

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Brain Imaging

Background:

  • Functional connectivity (FC) analysis has evolved to study time-resolved changes.
  • Functional network connectivity (FNC) characterizes whole-brain network interactions.
  • Dynamic FNC (dFNC) captures transient, recurring whole-brain patterns.

Purpose of the Study:

  • To develop and validate a method for assessing explicitly nonlinear dynamic functional network connectivity (EN dFNC).
  • To investigate whether nonlinear relationships in brain activity contain unique information beyond linear correlations.
  • To explore group differences in EN dFNC between schizophrenia patients and healthy controls.

Main Methods:

  • Proposed an approach to assess EN dFNC using independent component analysis (ICA) time courses.
  • Removed linear relationships at each time point to isolate explicitly nonlinear dFNC.
  • Utilized normalized mutual information (NMI) to quantify nonlinear relationships.
  • Validated the method using simulations and applied it to fMRI data from 151 schizophrenia patients and 163 healthy controls.

Main Results:

  • The proposed method successfully estimated explicitly nonlinear dFNC over time, even with short data windows.
  • Identified three unique, structured, long-range functional states with significant group differences.
  • Observed that explicitly nonlinear relationships were generally more widespread than linear ones.
  • Found a specific state with long-range visual domain connections that was reduced in schizophrenia patients.

Conclusions:

  • Quantifying EN dFNC offers a valuable complementary tool for studying brain function.
  • This approach can reveal significant variations in brain activity typically overlooked by linear methods.
  • EN dFNC analysis shows potential for understanding complex neurological conditions like schizophrenia.