Two classes of functional connectivity in dynamical processes in networks - Archive ouverte HAL
Article Dans Une Revue Journal of the Royal Society Interface Année : 2021

Two classes of functional connectivity in dynamical processes in networks

Demian Battaglia
Andrea Brovelli
Julia Costescu
  • Fonction : Auteur
Mel Guirro
Vinicius Lima
Arnaud Messé
John Perez
  • Fonction : Auteur
Yanhua Shi
Shubham Tiwari
  • Fonction : Auteur
Laura Turnbull

Résumé

The relationship between network structure and dynamics is one of the most extensively investigated problems in the theory of complex systems of recent 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, SC) with a (network) representation of the dynamics (functional connectivity, FC). 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.
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Dates et versions

hal-03411464 , version 1 (02-11-2021)

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Venetia Voutsa, Demian Battaglia, Louise J Bracken, Andrea Brovelli, Julia Costescu, et al.. Two classes of functional connectivity in dynamical processes in networks. Journal of the Royal Society Interface, 2021, 18, ⟨10.1098/rsif.2021.0486⟩. ⟨hal-03411464⟩
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