Topological dimension tunes activity patterns in hierarchical modular networks

Connectivity patterns of relevance in neuroscience and systems biology can be encoded in hierarchical modular networks (HMNs). Recent studies highlight the role of hierarchical modular organization in shaping brain activity patterns, providing an excellent substrate to promote both segregation and i...

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Bibliographic Details
Published in:New journal of physics 2017-11, Vol.19 (11), p.113011
Main Authors: Safari, Ali, Moretti, Paolo, Muñoz, Miguel A
Format: Article
Language:English
Subjects:
activity spreading
biological networks
Disease control
Epidemics
hierarchical modular networks
Network topologies
Physics
Spectral methods
Substrates
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Summary:Connectivity patterns of relevance in neuroscience and systems biology can be encoded in hierarchical modular networks (HMNs). Recent studies highlight the role of hierarchical modular organization in shaping brain activity patterns, providing an excellent substrate to promote both segregation and integration of neural information. Here, we propose an extensive analysis of the critical spreading rate (or 'epidemic' threshold)-separating a phase with endemic persistent activity from one in which activity ceases-on diverse HMNs. By employing analytical and computational techniques we determine the nature of such a threshold and scrutinize how it depends on general structural features of the underlying HMN. We critically discuss the extent to which current graph-spectral methods can be applied to predict the onset of spreading in HMNs and, most importantly, we elucidate the role played by the network topological dimension as a relevant and unifying structural parameter, controlling the epidemic threshold.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/aa823e