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Dynamics of Random Boolean Networks

  • Didier Pellegrin
Conference paper
  • 167 Downloads
Part of the NATO ASI Series book series (volume 20)

Abstract

Random boolean networks have been studied in order to modelize complex systems composed of many parts. S.Kauffman (1970) founds his choice of such models upon a comparison between genetic nets and networks of randomly interconnected binary elements. He gives important statistical results for nets with connectivity k=1, 2, 3, N (number of elements in the net).

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Bibliography

  1. F. FOGELMAN-SOULIE (1985): “Contributions à une théorie du calcul sur réseaux”, thesis Grenoble.Google Scholar
  2. S. KAUFFMAN (1970): “Behaviour of randomly constructed nets”. In Towards a theoretical biology Ed. C.H. Waddington, vol3, Edlnburg University PressGoogle Scholar
  3. S. KAUFFMAN (1979): “Assessing the probable regulatory structures and dynamics of metazoan genome. Kinetic logic ”. In Lecture notes for Biomathematics. Ed. R. Thomas, 29, 30–61. Berlin Springer Verlag.Google Scholar
  4. S. KAUFFMAN (1972): “The organization of cellular genetic control systems”. Lecture on Mathematics in the Life Sciences, Vol 3, American Mathematical society, Providence, Rl, 63–116.Google Scholar
  5. F. ROBERT (1985): “Discrete iterations” Springer Verlag, to appear.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Didier Pellegrin
    • 1
  1. 1.Institut IMAGLaboratoire TIM3Saint Martin-D’heresFrance

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