A measure of individual role in collective dynamics

Identifying key players in collective dynamics remains a challenge in several research fields, from the efficient dissemination of ideas to drug target discovery in biomedical problems. The difficulty lies at several levels: how to single out the role of individual elements in such intermingled syst...

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Bibliographic Details
Published in:Scientific reports 2012-02, Vol.2 (1), p.292-292, Article 292
Main Authors: Klemm, Konstantin, Serrano, M. Ángeles, Eguíluz, Víctor M., Miguel, Maxi San
Format: Article
Language:English
Subjects:
631/1647/767
639/705
639/766/259
639/766/530
Biological models
Critical phenomena
Eigenvalues
Física estadística
Humanities and Social Sciences
Models biològics
multidisciplinary
Nodes
Science
Spreading
Statistical physics
Teoria de la computació
Termodinàmica
Theory of computation
Thermodynamics
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Summary:Identifying key players in collective dynamics remains a challenge in several research fields, from the efficient dissemination of ideas to drug target discovery in biomedical problems. The difficulty lies at several levels: how to single out the role of individual elements in such intermingled systems, or which is the best way to quantify their importance. Centrality measures describe a node's importance by its position in a network. The key issue obviated is that the contribution of a node to the collective behavior is not uniquely determined by the structure of the system but it is a result of the interplay between dynamics and network structure. We show that dynamical influence measures explicitly how strongly a node's dynamical state affects collective behavior. For critical spreading, dynamical influence targets nodes according to their spreading capabilities. For diffusive processes it quantifies how efficiently real systems may be controlled by manipulating a single node.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep00292