Searching for structure in collective systems.

Journal: Theory in biosciences = Theorie in den Biowissenschaften
Published Date:

Abstract

From fish schools and bird flocks to biofilms and neural networks, collective systems in nature are made up of many mutually influencing individuals that interact locally to produce large-scale coordinated behavior. Although coordination is central to what it means to behave collectively, measures of large-scale coordination in these systems are ad hoc and system specific. The lack of a common quantitative scale makes broad cross-system comparisons difficult. Here we identify a system-independent measure of coordination based on an information-theoretic measure of multivariate dependence and show it can be used in practice to give a new view of even classic, well-studied collective systems. Moreover, we use this measure to derive a novel method for finding the most coordinated components within a system and demonstrate how this can be used in practice to reveal intrasystem organizational structure.

Authors

  • Colin R Twomey
    Department of Biology, University of Pennsylvania, Philadelphia, PA, USA. crtwomey@sas.upenn.edu.
  • Andrew T Hartnett
    , West Hartford, CT, USA.
  • Matthew M G Sosna
    Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, USA.
  • Pawel Romanczuk