1997/08/28 by U. Bastolla, G. Parisi · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Attractor #Boolean function #Boolean model #Boolean network #Gene Regulatory Network Analysis #Modular design #Percolation (cognitive psychology) #Phase transition #Scaling #Slime Mold and Myxomycetes Research #Stochastic processes and statistical mechanics #cond-mat.dis-nn #q-bio
paper · pdf · doi:10.1016/s0167-2789(97)00242-x
24 pages, 9 figures, Latex, submitted to Physica D
arxiv created 1997/08/28 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This is the second paper of a series of two about the structural properties that influence the asymptotic dynamics of Random Boolean Networks. Here we study the functionally independent clusters in which the relevant elements, introduced and studied in our first paper, are subdivided. We show that the phase transition in Random Boolean Networks can also be described as a percolation transition. The statistical properties of the clusters of relevant elements (that we call modules) give an insight on the scaling behavior of the attractors of the critical networks that, according to Kauffman, have a biological analogy as a model of genetic regulatory systems.