The Diffusion of Perturbations in a Model of Coupled Random Boolean Networks

  • Authors:
  • Roberto Serra;Marco Villani;Chiara Damiani;Alex Graudenzi;Annamaria Colacci

  • Affiliations:
  • Dipartimento di scienze sociali, cognitive e quantitative, Università di Modena e Reggio Emilia, Reggio Emilia, Italia 42100;Dipartimento di scienze sociali, cognitive e quantitative, Università di Modena e Reggio Emilia, Reggio Emilia, Italia 42100;Dipartimento di scienze sociali, cognitive e quantitative, Università di Modena e Reggio Emilia, Reggio Emilia, Italia 42100;Dipartimento di scienze sociali, cognitive e quantitative, Università di Modena e Reggio Emilia, Reggio Emilia, Italia 42100;Excellence Environmental Carcinogenesis, Environmental Protection and Health Prevention Agency Emilia-Romagna, Bologna, Italia

  • Venue:
  • ACRI '08 Proceedings of the 8th international conference on Cellular Automata for Reseach and Industry
  • Year:
  • 2008

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Abstract

Deciphering the influence of the interaction among the constituents of a complex system on the overall behaviour is one of the main goals of complex systems science. The model we present in this work is a 2D square cellular automaton whose of each cell is occupied by a complete random Boolean network. Random Boolean networks are a well-known simplified model of genetic regulatory networks and this model of interacting RBNs may be therefore regarded as a simplified model of a tissue or a monoclonal colony. The mechanism of cell-to-cell interaction is here simulated letting some nodes of a particular network being influenced by the state of some nodes belonging to its neighbouring cells. One possible means to investigate the overall dynamics of a complex system is studying its response to perturbations. Our analyses follow this methodological approach. Even though the dynamics of the system is far from trivial we could show in a clear way how the interaction affects the dynamics and the global degree of order.