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arXiv · 1002.4583

Towards Google matrix of brain

D. L. Shepelyansky·O. V. Zhirov
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Abstract

We apply the approach of the Google matrix, used in computer science and World Wide Web, to description of properties of neuronal networks. The Google matrix ${\bf G}$ is constructed on the basis of neuronal network of a brain model discussed in PNAS {\bf 105}, 3593 (2008). We show that the spectrum of eigenvalues of ${\bf G}$ has a gapless structure with long living relaxation modes. The PageRank of the network becomes delocalized for certain values of the Google damping factor $\alpha$. The properties of other eigenstates are also analyzed. We discuss further parallels and similarities between the World Wide Web and neuronal networks.

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BibTeXRIS

D. L. Shepelyansky, O. V. Zhirov. 2010-02-24. Towards Google matrix of brain. https://doi.org/10.1016/j.physleta.2010.06.007

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