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Quantitative Static and Dynamic Assessment of Balance Control in Stroke Patients
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Statistical physics of balance theory.

Andres M Belaza1,2, Kevin Hoefman2, Jan Ryckebusch1

  • 1Department of Physics and Astronomy, Ghent University, Ghent, Belgium.

Plos One
|August 29, 2017
PubMed
Summary

This study models triadic relationships in social and political networks using statistical physics. The model captures relationship dynamics and reveals persistent hierarchies in political networks.

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Area of Science:

  • Network Science
  • Statistical Physics
  • Social Dynamics

Background:

  • Triadic relationships are fundamental to social and political network dynamics.
  • Existing models often lack quantitative methods to capture complex triadic interactions.

Purpose of the Study:

  • To develop a quantitative model for the dynamics of four types of triadic relationships in networks.
  • To incorporate insights from balance theory and statistical physics into network analysis.

Main Methods:

  • Proposed a model based on triadic incidence rates and assigned triadic energies.
  • Introduced systemic temperature to account for disorder in relationship formation.
  • Developed a generic Hamiltonian with three terms to model triadic energies, including three-body interactions, heterogeneity, and negative edges.

Main Results:

  • Validated the model on datasets from a massively multiplayer online game (MMOG), the Syrian civil war, and the Cold War.
  • Observed emerging properties in political network triadic relationships.
  • Found a persistent hierarchy among the four triadic energies and consistent parameter extraction.

Conclusions:

  • The proposed model effectively captures the dynamics of triadic relationships in diverse networks.
  • The model provides insights into the 'frustration' and emergent properties within political networks.
  • The framework offers a novel approach to understanding complex social and political systems.