Anomalous Lifshitz dimension in hierarchical networks of brain connectivity
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Esfandiary, Samaneh; Safari, Ali; Renner, Jakob; Moretti, Paolo; Muñoz Martínez, Miguel ÁngelEditorial
American Physical Society
Date
2020-11-30Referencia bibliográfica
Samaneh Esfandiary, Ali Safari, Jakob Renner, Paolo Moretti, and Miguel A. Muñoz. Anomalous Lifshitz dimension in hierarchical networks of brain connectivity. Phys. Rev. Research 2, 043291 [https://doi.org/10.1103/PhysRevResearch.2.043291]
Sponsorship
German Research Foundation (DFG) MO 3049/1-1 MO 3049/3-1 GRK 2423 FRASCAL; Spanish Ministry and Agencia Estatal de Investigacion (AEI) FIS2017-84256-P; FEDER/Junta de Andalucia-Consejeria de Economia y Conocimiento A-FQM-175-UGR18 SOMM17/6105/UGRAbstract
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.