Dr. Jong Won Kim Profile

Dr. Jong Won Kim

at Univ of Sydney

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Proceedings Article | 5 January 2008 Paper

Compact continuum brain model for human electroencephalogram

J. Kim, H.-B. Shin, P. Robinson

Proceedings Volume 6802, 68020T (2008) https://doi.org/10.1117/12.759005

KEYWORDS: Electroencephalography, Brain, Signal analyzers, Complex systems, Physiology, Medicine, Differential equations, Interference (communication), Epilepsy, Modulation

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A low-dimensional, compact brain model has recently been developed based on physiologically based mean-field continuum formulation of electric activity of the brain. The essential feature of the new compact model is a second order time-delayed differential equation that has physiologically plausible terms, such as rapid corticocortical feedback and delayed feedback via extracortical pathways. Due to its compact form, the model facilitates insight into complex brain dynamics via standard linear and nonlinear techniques. The model successfully reproduces many features of previous models and experiments. For example, experimentally observed typical rhythms of electroencephalogram (EEG) signals are reproduced in a physiologically plausible parameter region. In the nonlinear regime, onsets of seizures, which often develop into limit cycles, are illustrated by modulating model parameters. It is also shown that a hysteresis can occur when the system has multiple attractors. As a further illustration of this approach, power spectra of the model are fitted to those of sleep EEGs of two subjects (one with apnea, the other with narcolepsy). The model parameters obtained from the fittings show good matches with previous literature. Our results suggest that the compact model can provide a theoretical basis for analyzing complex EEG signals.

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