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Principles Entailed by Complexity, Crucial Events, and Multifractal Dimensionality.

Bruce J West1,2, Senthil Mudaliar3

  • 1Center for Nonlinear Science, University of North Texas, Denton, TX 76203, USA.

Entropy (Basel, Switzerland)
|March 28, 2025
PubMed
Summary
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This study introduces a new method to analyze physiological time series (PTS) by replacing ordinary statistical events with crucial events (CEs). This approach uses multifractal dimensionality to reveal synchronization mechanisms and information exchange in physiological networks.

Area of Science:

  • Physiology
  • Complexity Science
  • Biomedical Engineering

Background:

  • Complexity is a poorly defined concept in science.
  • Traditional mathematical models struggle with physiological time series (PTS).
  • Historical assumptions hinder the analysis of complex biological systems.

Purpose of the Study:

  • To explore how multifractal dimensionality can redefine complexity in PTS.
  • To propose a new method for analyzing physiological data.
  • To uncover novel synchronization mechanisms in biological networks.

Main Methods:

  • Replaced ordinary statistical events with crucial events (CEs) in PTS.
  • Utilized multifractal dimensionality as a measure of complexity.
  • Applied modified diffusion entropy analysis (MDEA) to empirical datasets.
Keywords:
complexity synchronization (CS)crucial event (CEs)empirical principlesfractal architecture (FA)multifractal dimensionality

Related Experiment Videos

Main Results:

  • Demonstrated synchrony in respiration, ECG, and EEG time series after MDEA processing.
  • Identified a new synchronization mechanism linked to multifractal dimension.
  • Showcased that complexity measures track synchronized physiological networks over time.

Conclusions:

  • Discarding historical assumptions and adopting CEs simplifies PTS analysis.
  • MDEA reveals a universal synchronization mechanism across diverse physiological data.
  • This framework captures principles of information exchange in physiologic organ networks.