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Systems Analysis of the Neuroinflammatory and Hemodynamic Response to Traumatic Brain Injury

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Quasicritical brain dynamics on a nonequilibrium Widom line.

Rashid V Williams-García¹, Mark Moore¹, John M Beggs¹

¹Department of Physics, Indiana University, Bloomington, Indiana 47405, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 24, 2015

Summary

The brain may operate near a critical point, optimizing information processing. This study models neocortical dynamics, revealing a quasicritical state that balances order and disorder, potentially explaining brain function and dysfunction like epilepsy.

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Area of Science:

Computational Neuroscience
Complex Systems Theory
Neurodynamics

Background:

The brain's operational state, particularly its proximity to critical points, remains a key question in neuroscience.
Understanding neural network dynamics is crucial for deciphering brain function and dysfunction.

Purpose of the Study:

To investigate the nonequilibrium properties of a neural network modeling neocortical dynamics.
To determine if the brain operates at an optimal quasicritical state on the Widom line.
To characterize phase transitions and map a nonequilibrium phase diagram for neural dynamics.

Main Methods:

Simulating a neural network model of neocortical dynamics.
Developing an analytical mean-field approximation.
Characterizing nonequilibrium phase transitions and constructing a phase diagram.

Main Results:

Identified optimal quasicritical dynamics on the Widom line, enhancing correlation length and information transmission.
Characterized distinct ordered, disordered, and quasiperiodic phases in the neural network.
The quasiperiodic phase corresponds to synchronous activity, potentially linked to epilepsy.

Conclusions:

The brain likely operates in an optimal quasicritical state, balancing information processing capabilities.
The identified phases, including the quasiperiodic synchronous activity, offer insights into normal brain function and pathological states like epilepsy.