The influence of noise on the dynamics of Random Boolean Network

  • Authors:

  • A. Barbieri;M. Villani;R. Serra;S. A. Kauffman;A. Colacci

  • Affiliations:

  • Department of Social, Cognitive and Quantitative Sciences, Modena and Reggio Emilia University, via Allegri 9, 42100 Reggio Emilia, Italy/ E-mail: {mvillani, alessia.barbieri.35586, rserra}@unimor ...;Department of Social, Cognitive and Quantitative Sciences, Modena and Reggio Emilia University, via Allegri 9, 42100 Reggio Emilia, Italy/ E-mail: {mvillani, alessia.barbieri.35586, rserra}@unimor ...;Department of Social, Cognitive and Quantitative Sciences, Modena and Reggio Emilia University, via Allegri 9, 42100 Reggio Emilia, Italy/ E-mail: {mvillani, alessia.barbieri.35586, rserra}@unimor ...;Institute for Biocomplexity and Informatics University of Calgary, 2500 University Dr. NW Calgary, AB T2N 1N4, Canada/ E-mail: skauffman@ucalgary.ca;Mechanisms of Carcinogenesis and Anticarcinogenesis Unit --Environmental Protection Agency Emilia-Romagna Region Viale Filopanti, 20/22 Bologna, Italy/ Email: mcalab@istbiotech.it

  • Venue:
  • Proceedings of the 2009 conference on Neural Nets WIRN09: Proceedings of the 19th Italian Workshop on Neural Nets, Vietri sul Mare, Salerno, Italy, May 28--30 2009
  • Year:
  • 2009

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Abstract

Since real networks are noisy systems, in this work we investigate the dynamics of a deterministic model of gene networks affected by small random fluctuations. In this case jumps among different attractors are possible, thereby leading to an asymptotic dynamics different from that of the underlying deterministic model. The significance of the jumps among attractors is discussed. A key control parameter of this phenomenon is the size of the network, a fact that could lead to interesting consequences for the theories of natural and artificial evolving systems.