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

Physical Review Research American Physical Society

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.

Authors with CRIS profile

Samaneh Esfandiary Lehrstuhl für Werkstoffsimulation Ali Safari Lehrstuhl für Werkstoffsimulation Jakob Renner Lehrstuhl für Werkstoffsimulation Paolo Moretti Lehrstuhl für Werkstoffsimulation

Additional Organisation(s)

Graduiertenkolleg 2423 Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik

Involved external institutions

Universidad de Granada ES Spain (ES)

How to cite

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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