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Exploring nonlinear dynamics in brain functionality through phase portraits and fuzzy recurrence plots.

Qiang Li1, Vince D Calhoun1, Tuan D Pham2

  • 1Tri-Institutional Center for Translational Research in Neuroimaging and Data Science (TReNDS), Georgia State University, Georgia Institute of Technology, and Emory University, Atlanta, Georgia 30303, USA.

Chaos (Woodbury, N.Y.)
|October 11, 2024
PubMed
Summary
This summary is machine-generated.

This study uses nonlinear dynamics to analyze brain connectivity. Phase portraits and fuzzy recurrence plots reveal hidden information in neural signals, offering new tools for understanding brain function.

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Area of Science:

  • Neuroscience
  • Complex Systems
  • Statistical Physics

Background:

  • Brain complexity arises from nonlinear phenomena.
  • Nonlinear dynamics and statistical physics advance understanding of brain function and connectivity.
  • Analyzing high-dimensional neural signals is crucial for uncovering brain network information.

Purpose of the Study:

  • To explore complex brain functional connectivity using biophysical nonlinear dynamics.
  • To identify hidden information within nonlinear neural signals.
  • To develop tools for analyzing information transitions in complex brain networks.

Main Methods:

  • Utilized phase portraits and fuzzy recurrence plots to investigate functional connectivity.
  • Employed synthetic linear dynamics neural time series and a biophysically realistic neural mass model for numerical experiments.
  • Analyzed phase trajectories and geometric properties of limit-cycle attractors.

Main Results:

  • Phase portraits and fuzzy recurrence plots are sensitive to neural dynamics changes.
  • These methods can predict functional connectivity from structural connectivity.
  • Phase trajectories encode low-dimensional dynamics, explaining neurodynamics through attractor geometry.
  • Phase portraits and fuzzy recurrence plots serve as effective functional connectivity descriptors, capturing nonlinear dynamics during cognitive tasks.

Conclusions:

  • Phase portraits and fuzzy recurrence plots are valuable descriptors for brain functional connectivity.
  • These methods provide insights into the nonlinear dynamics underlying brain function.
  • The findings offer a novel approach to analyzing complex neural networks.