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Updated: Dec 29, 2025

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Measuring the Non-linear Directed Information Flow in Schizophrenia by Multivariate Transfer Entropy
Dennis Joe Harmah1,2, Cunbo Li1,2, Fali Li1,2
1The Clinical Hospital of Chengdu Brain Science Institute, MOE Key Lab for Neuroinformation, University of Electronic Science and Technology of China, Chengdu, China.
Multivariate transfer entropy (MTE) effectively quantifies non-linear brain network interactions in electroencephalogram (EEG) data. This method reveals significant brain network deterioration in schizophrenia (SCZ) patients compared to healthy controls.
Area of Science:
- Neuroscience
- Computational Neuroscience
- Biomedical Engineering
Background:
- Schizophrenia (SCZ) is associated with severe deterioration of brain network function.
- Existing effective connectivity methods struggle to quantify direct non-linear causal interactions in brain activity.
- Electroencephalogram (EEG) data reflects complex, non-linear causal activities within the brain.
Purpose of the Study:
- To introduce and validate Multivariate Transfer Entropy (MTE) for quantifying non-linear causal interactions in EEG.
- To compare the performance of MTE against Granger Causal Analysis (GCA) and Bivariate Transfer Entropy (BVTE).
- To investigate brain network differences between individuals with SCZ and healthy controls (HC) using MTE.
Main Methods:
- Construction of EEG effective networks using MTE.
- Comparative analysis of MTE, GCA, and BVTE performance using simulations under varying signal-to-noise ratios, edge recovery, sensitivity, and specificity.
- Application of MTE to P300 task EEG data from HC and SCZ groups.
Main Results:
- MTE demonstrated superior performance over GCA and BVTE in simulations across multiple metrics.
- MTE successfully identified deteriorated network interactions in SCZ patients compared to HC.
- The study confirmed MTE's capability to capture both linear and non-linear causal relationships.
Conclusions:
- MTE is a robust and effective tool for quantifying non-linear causal interactions in EEG data.
- MTE reveals significant brain network deterioration in schizophrenia.
- This novel approach offers potential for deeper understanding of brain network dysfunction in SCZ.
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