Anomalous Lifshitz dimension in hierarchical networks of brain connectivity

Esfandiary S, Safari A, Renner J, Moretti P, Muñoz MÁ (2020)


Publication Type: Journal article

Publication year: 2020

Journal

Book Volume: 2

Article Number: 043291

Issue: 4

DOI: 10.1103/PhysRevResearch.2.043291

Abstract

The spectral dimension is a generalization of the Euclidean dimension and quantifies the propensity of a network to transmit and diffuse information. We show that in hierarchical-modular network models of the brain, dynamics are anomalously slow and the spectral dimension is not defined. Inspired by Anderson localization in quantum systems, we relate the localization of neural activity—essential to embed brain functionality—to the network spectrum and to the existence of an anomalous “Lifshitz dimension.” In a broader context, our results help shed light on the relationship between structure and function in biological information-processing complex networks.

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APA:

Esfandiary, S., Safari, A., Renner, J., Moretti, P., & Muñoz, M.Á. (2020). Anomalous Lifshitz dimension in hierarchical networks of brain connectivity. Physical Review Research, 2. https://doi.org/10.1103/PhysRevResearch.2.043291

MLA:

Esfandiary, Samaneh, et al. "Anomalous Lifshitz dimension in hierarchical networks of brain connectivity." Physical Review Research 2 (2020).

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