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Network Automata: Coupling Structure And Function In Dynamic Networks

Author

Listed:
  • DAVID M. D. SMITH

    (Centre for Mathematical Biology, Oxford University, Oxford OX1 3LB, UK;
    Oxford Centre for Integrative Systems Biology, Department of Biochemistry, Oxford University, South Parks Road, Oxford, OX1 3QU, UK)

  • JUKKA-PEKKA ONNELA

    (Department of Biomedical Engineering and Computational Science, Helsinki University of Technology, P.O. Box 9203, FIN-02015 HUT, Finland;
    CABDyN Complexity Centre, Oxford University, Oxford, OX1 1HP, UK)

  • CHIU FAN LEE

    (Max Planck Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany)

  • MARK D. FRICKER

    (Department of Plant Sciences, University of Oxford, Oxford, OX1 3RB, UK)

  • NEIL F. JOHNSON

    (Physics Department, University of Miami, Coral Gables, Florida FL 33124, USA)

Abstract

We introduce Network Automata, a framework which couples the topological evolution of a network to its structure. To demonstrate its implementation we describe a simple model which exhibits behavior similar to the "Game of Life" before recasting some simple, well-known network models as Network Automata. We then introduce Functional Network Automata which are useful for dealing with networks in which the topology evolves according to some specified microscopic rules and, simultaneously, there is a dynamic process taking place on the network that both depends on its structure but is also capable of modifying it. It is a generic framework for modeling systems in which network structure, dynamics, and function are interrelated. At the practical level, this framework allows for precise, unambiguous implementation of the microscopic rules involved in such systems. To demonstrate the approach, we develop a family of simple biologically inspired models of fungal growth.

Suggested Citation

  • David M. D. Smith & Jukka-Pekka Onnela & Chiu Fan Lee & Mark D. Fricker & Neil F. Johnson, 2011. "Network Automata: Coupling Structure And Function In Dynamic Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 317-339.
    • Handle: RePEc:wsi:acsxxx:v:14:y:2011:i:03:n:s0219525911003050
    DOI: 10.1142/S0219525911003050
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    Cited by:

    1. Du, Huan & Perré, Patrick, 2020. "A novel lattice-based model for investigating three-dimensional fungal growth on solid media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Du, Huan & Ayouz, Mehdi & Lv, Pin & Perré, Patrick, 2018. "A lattice-based system for modeling fungal mycelial growth in complex environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 191-206.

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