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Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Published on: November 1, 2019

Exploring electroencephalography with a model inspired by quantum mechanics.

Nicholas J M Popiel^1,2, Colin Metrow¹, Geoffrey Laforge³

¹The Department of Physics and Astronomy, The University of Western Ontario, London, ON, N6A 5B7, Canada.

Scientific Reports

|October 6, 2021

Summary

The brain exhibits a consistent organizational principle across resting and task states. Mathematical modeling of electroencephalogram (EEG) data reveals a fundamental architecture underlying human brain activity, akin to quantum mechanics principles.

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Last Updated: Oct 18, 2025

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Published on: November 1, 2019

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Area of Science:

Cognitive Neuroscience
Neurophysics

Background:

The brain's organization into reproducible networks is observed during both resting-state and active task conditions.
Similar neural activity patterns across diverse conditions suggest a potential fundamental organizational principle governing brain function.

Purpose of the Study:

To investigate if a fundamental organizational principle underlies brain activity across different states (resting vs. task).
To model electroencephalogram (EEG) data using mathematical formalisms from quantum mechanics.

Main Methods:

Application of quantum mechanics mathematical formalisms to analyze electroencephalogram (EEG) data.
Modeling of brain activity during resting-state and task-engagement (movie watching).

Main Results:

EEG signals showed localization in anterior brain regions during rest, contrasting with uniform distribution during task engagement.
Analogous values to the Heisenberg uncertainty principle were identified, suggesting a shared underlying architecture.
A novel constant, K_Brain, was extracted from the brain state with minimal uncertainty.

Conclusions:

Human brain activity in resting and task conditions may share a common underlying architecture.
The brain's organizational principle, modeled using quantum mechanics formalisms, provides insights into neural activity across states.
The findings introduce a new constant, K_Brain, characterizing brain states with minimal uncertainty.