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Ising model with conserved magnetization on the human connectome: Implications on the relation structure-function in
S Stramaglia1, M Pellicoro1, L Angelini1
1Dipartimento di Fisica, Università degli Studi di Bari, Bari, Italy.
Chaos (Woodbury, N.Y.)
|May 1, 2017
Summary
Brain activity during anesthesia shows increased functional correlation at the modular level, aligning with Ising model predictions. This departure from criticality offers new insights into neural activity regulation.
Area of Science:
- Computational neuroscience
- Complex systems science
- Neuroimaging analysis
Background:
- Dynamical models can elucidate the relationship between brain structure and function.
- The Ising model, a simple abstract model, provides a framework for studying correlations.
Purpose of the Study:
- To compare spin correlations from the Ising model with empirical functional brain correlations.
- To investigate how anesthesia affects the match between brain structure and function.
- To explore the implications of criticality in brain dynamics.
Main Methods:
- Comparison of Ising model spin correlations and human brain functional correlations.
- Analysis at both single link and modular levels.
- Examination of correlations at the critical state (peak of specific heat).
Main Results:
- Functional brain correlations show an increased match with Ising model correlations at the modular level during anesthesia.
- The match between structure and function is optimized at the onset of criticality.
- Brain dynamics under anesthesia deviate from criticality.
Conclusions:
- Anesthesia-induced brain dynamics exhibit a departure from criticality.
- The conserved magnetization in the Ising model may represent a homeostatic principle in neural activity.
- Findings suggest novel perspectives on brain function and regulation.
