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  The broad edge of synchronisation: Griffiths effects and collective phenomena in brain networks

Buendia, V., Villegas, P., Burioni, R., & Muñoz, M. (submitted). The broad edge of synchronisation: Griffiths effects and collective phenomena in brain networks.

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Genre: Journal Article

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https://arxiv.org/pdf/2109.11783.pdf (Any fulltext)
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 Creators:
Buendia, V1, 2, Author              
Villegas, P, Author
Burioni, R, Author
Muñoz, MA, Author
Affiliations:
1Department of Computational Neuroscience, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_3017468              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: Many of the amazing functional capabilities of the brain are collective properties stemming from the interactions of large sets of individual neurons. In particular, the most salient collective phenomena in brain activity are oscillations, which require the synchronous activation of many neurons. Here, we analyse parsimonious dynamical models of neural synchronisation running on top of synthetic networks that capture essential aspects of the actual brain anatomical connectivity such as a hierarchical-modular and core-periphery structure. These models reveal the emergence of complex collective states with intermediate and flexible levels of synchronisation, halfway in the synchronous-asynchronous spectrum. These states are best described as broad Griffiths-like phases, i.e. an extension of standard critical points that emerge in structurally heterogeneous systems. We analyse different routes (bifurcations) to synchronisation and stress the relevance of 'hybrid-type transitions' to generate rich dynamical patterns. Overall, our results illustrate the complex interplay between structure and dynamics, underlining key aspects leading to rich collective states needed to sustain brain functionality.

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 Dates: 2021-09
 Publication Status: Submitted
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Title: Philosophical Transactions of the Royal Society of London - Series A: Mathematical Physical and Engineering Sciences
Source Genre: Journal
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Publ. Info: London : Royal Society
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISSN: 1364-503X
CoNE: https://pure.mpg.de/cone/journals/resource/954928604111_1