- Poster presentation
- Open Access
Inferring large-scale brain connectivity from spectral properties of the EEG
© Steinke and Galán; licensee BioMed Central Ltd. 2009
- Published: 13 July 2009
- Network Topology
- Connectivity Matrix
- Brain Connectivity
- Pink Noise
- Connectivity Matrice
Study of recorded electroencephalogram (EEG) data has demonstrated that the brain exhibits global dynamics with specific spectral properties . In particular, it is noted that large-scale brain activity consists of the superposition of background "pink noise" and a number of specific frequency bands whose spacing reduces the potential for cross-talk (band peaks are evenly spaced on a logarithmic scale). The relationship between network topology and observed activity is a topic of ongoing research, but it has been observed anatomically that large-scale connectivity in the brain is nonrandom, displaying a small-world topology . This topology maximizes the complexity of the brain dynamics, allowing for a large repertoire of physiologically relevant activity patterns. Thus, it is desirable to infer details regarding the connectivity of a neural network based on observation of its dynamics.
Using a stochastic dynamical model of large-scale brain activity [2, 3], we found a relationship between the power spectrum of EEG traces and the eigenvalues of the connectivity matrix. Because many different matrices have the same set of eigenvalues, the EEG spectrum alone is not sufficient to determine the underlying network connectivity. We thus impose one constraint: the connectivity matrix must have a small-world network topology. We then solve the inverse-eigenvalue problem , obtaining a family of connectivity matrices compatible with this condition, that in the simulations generate EEG with the power spectrum experimentally observed.
This work has been supported by The Mount Sinai Health Care Foundation.
- Buzsaki G: Rhythms of the Brain. 2006, Oxford University Press, FirstGoogle Scholar
- Sporns O, Tononi G, Edelman GM: Theoretical neuroanatomy: relating anatomical and functional connectivity in graphs and cortical connection matrices. Cereb Cortex. 2000, 10: 127-141. 10.1093/cercor/10.2.127.PubMedView ArticleGoogle Scholar
- Galán RF: On how network architecture determines the dominant patterns of spontaneous neural activity. PLoS ONE. 2008, 3: e2148-10.1371/journal.pone.0002148.PubMed CentralPubMedView ArticleGoogle Scholar
- Chu MT, Golub GH: Inverse Eigenvalue Problems: Theory, Algorithms, and Applications. 2005, Oxford University PressView ArticleGoogle Scholar
This article is published under license to BioMed Central Ltd.