Towards plasma-like collisionless trajectories in the brain.

Area of Science:

• Neuroscience
• Plasma Physics
• Computational Neuroscience

Background:

• Plasma physics describes collective, collisionless movements of charged particles.
• Brain dynamics involve complex interactions and functional coupling of neural components.

Purpose of the Study:

• To evaluate the role of collective behaviors and long-range coupling of charged particles in brain dynamics.
• To develop a novel, empirically testable brain model based on plasma physics principles.

Main Methods:

• Constructing a mathematical brain model incorporating collisionless charged particle movements and oscillations.
• Utilizing McKean-Vlasov equations, derived from classical Vlasov equations for plasma, for model assessment.
• Analyzing cortical phase transitions and order parameters within a brain-at-the-edge-of-chaos framework.

Main Results:

• The proposed model demonstrates how the brain can exhibit plasma-like features.
• The model provides a framework for understanding holistic brain behavior through collective particle dynamics.
• Cortical phase transitions are elucidated in the context of a plasma-like brain model.

Conclusions:

• The brain may exhibit plasma-like characteristics, with collective particle dynamics playing a crucial role.
• This plasma-inspired model offers a new perspective on holistic nervous functions and brain dynamics.
• The model is mathematically formulated and empirically testable, paving the way for further research.