Spectral graph theory of brain oscillations
Open Access
- 23 March 2020
- journal article
- research article
- Published by Wiley in Human Brain Mapping
- Vol. 41 (11), 2980-2998
- https://doi.org/10.1002/hbm.24991
Abstract
The relationship between the brain's structural wiring and the functional patterns of neural activity is of fundamental interest in computational neuroscience. We examine a hierarchical, linear graph spectral model of brain activity at mesoscopic and macroscopic scales. The model formulation yields an elegant closed‐form solution for the structure–function problem, specified by the graph spectrum of the structural connectome's Laplacian, with simple, universal rules of dynamics specified by a minimal set of global parameters. The resulting parsimonious and analytical solution stands in contrast to complex numerical simulations of high dimensional coupled nonlinear neural field models. This spectral graph model accurately predicts spatial and spectral features of neural oscillatory activity across the brain and was successful in simultaneously reproducing empirically observed spatial and spectral patterns of alpha‐band (8–12 Hz) and beta‐band (15–30 Hz) activity estimated from source localized magnetoencephalography (MEG). This spectral graph model demonstrates that certain brain oscillations are emergent properties of the graph structure of the structural connectome and provides important insights towards understanding the fundamental relationship between network topology and macroscopic whole‐brain dynamics. .Keywords
Funding Information
- Korea National Institute of Health (R01DC013979, R01DC017696, R01EB022717, R01NS100440)
This publication has 76 references indexed in Scilit:
- Anatomical connectivity and the resting state activity of large cortical networksNeuroImage, 2013
- A Network Diffusion Model of Disease Progression in DementiaNeuron, 2012
- The Temporal Structures and Functional Significance of Scale-free Brain ActivityNeuron, 2010
- Dynamic causal modelling of distributed electromagnetic responsesNeuroImage, 2009
- The Wilson–Cowan model, 36 years laterBiological Cybernetics, 2009
- Simulated power spectral density (PSD) of background electrocorticogram (ECoG)Cognitive Neurodynamics, 2008
- Cortical network dynamics with time delays reveals functional connectivity in the resting brainCognitive Neurodynamics, 2008
- Large-scale model of mammalian thalamocortical systemsProceedings of the National Academy of Sciences of the United States of America, 2008
- A theoretical basis for standing and traveling brain waves measured with human EEG with implications for an integrated consciousnessClinical Neurophysiology, 2006
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissueKybernetik, 1973