Two classes of functional connectivity in dynamical processes in networks

Voutsa, Venetia; Battaglia, Demian; Bracken, Louise; Brovelli, Andrea; Costescu, Julia; Diaz Munoz, Mario; Fath, Brian. D.; Funk, Andrea; Guirro, Mel; Hein, Thomas; Kerschner, Christian; Kimmich, Christian; Lima, Vinicius; Messe, Arnaud; Parsons, Anthony. J.; Perez, John; Poeppl, Ronald; Prell, Christina; Recinos, Sonia; Shi, Yanhua; Tiwari, Shubham; Turnbull, Laura; Wainwright, John; Waxenecker, Harald; Huett, Marc-Thorsten

Abstract

The relationship of network structure and dynamics is one of the most extensively investigated problems in the theory of complex systems of the last years. Understanding this relationship is of relevance to a range of disciplines – from Neuroscience to Geomorphology. A major strategy of investigating this relationship is the quantitative comparison of a representation of network architecture (structural connectivity) with a (network) representation of the dynamics (functional connectivity). Here, we show that one can distinguish two classes of functional connectivity – one based on simultaneous activity (co-activity) of nodes, the other based on sequential activity of nodes. We delineate these two classes in different categories of dynamical processes – excitations, regular and chaotic oscillators – and provide examples for SC/FC correlations of both classes in each of these models. We expand the theoretical view of the SC/FC relationships, with conceptual instances of the SC and the two classes of FC for various application scenarios in Geomorphology, Ecology, Systems Biology, Neuroscience and Socio-Ecological Systems. Seeing the organisation of dynamical processes in a network either as governed by co-activity or by sequential activity allows us to bring some order in the myriad of observations relating structure and function of complex networks.

Citation

Voutsa, V., Battaglia, D., Bracken, L., Brovelli, A., Costescu, J., Diaz Munoz, M., Fath, B. D., Funk, A., Guirro, M., Hein, T., Kerschner, C., Kimmich, C., Lima, V., Messe, A., Parsons, A. J., Perez, J., Poeppl, R., Prell, C., Recinos, S., Shi, Y., …Huett, M.-T. (2021). Two classes of functional connectivity in dynamical processes in networks. Journal of the Royal Society. Interface, 18(183), Article 20210486. https://doi.org/10.1098/rsif.2021.0486

• Journal Article Type: Article
• Acceptance Date: Sep 13, 2021
• Online Publication Date: Oct 20, 2021
• Publication Date: 2021-10
• Deposit Date: Oct 7, 2021
• Publicly Available Date: Oct 7, 2021
• Journal: Journal of the Royal Society Interface
• Print ISSN: 1742-5689
• Publisher: The Royal Society
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 183
• Article Number: 20210486
• DOI: https://doi.org/10.1098/rsif.2021.0486
• Public URL: https://durham-repository.worktribe.com/output/1228632