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

doi:10.1098/rsif.2021.0486

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

Authors

Venetia Voutsa

Demian Battaglia

Louise Bracken

Andrea Brovelli

Julia Costescu

Mario Diaz Munoz

Brian. D. Fath

Andrea Funk

Mel Guirro

Thomas Hein

Christian Kerschner

Christian Kimmich

Vinicius Lima

Arnaud Messe

Anthony. J. Parsons

John Perez

Ronald Poeppl

Christina Prell

Sonia Recinos

Yanhua Shi

Shubham Tiwari shubham.tiwari@durham.ac.uk
PGR Student Doctor of Philosophy

Laura Turnbull

John Wainwright

Harald Waxenecker

Marc-Thorsten Huett

Contributors

Dr Laura Turnbull-Lloyd laura.turnbull@durham.ac.uk
Other

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., …Huett, M. (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

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© 2021 The Authors.
Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.