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Theory and Applications of Coupled Cell Networks

26th September 2005 to 30th September 2005

Organisers: Peter Ashwin (Exeter), Stephen Coombes (Nottingham), Jonathan Dawes (Cambridge), Martin Golubitsky (Houston)

Conference Theme

A coupled cell system is a dynamical system distributed over the nodes of a network: to each node (or 'cell') we attach a phase space and evolution equations that describe the local dynamics. Such a partitioning leads to the notions of symmetry and synchrony. Examples of coupled cell systems include central pattern generators, genetic regulatory networks, neural circuits and social networks. In many cases recent work has provided detailed information showing that the network structure is highly complicated. The challenge now is to complement new physical and biological understanding of network structures with a mathematical understanding of their dynamics.

The conference will focus on:

  • Dynamics (synchronisation, pattern formation, chaotic behaviour, heteroclinic dynamics)
  • The influence of network architecture and topology (symmetry groups and groupoids, motifs)
  • Application to and inspiration from physics and biology (cell cycle control, neural dynamics, travelling waves)

This workshop is supported by EOARD, ONRGlobal and EPSRC

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons