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The formation of the frozen core in critical Boolean networks

2012/02/21 by Marco Möller, Barbara Drossel
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Boolean function #Boolean network #Constant (computer programming) #Core (optical fiber) #Gene Regulatory Network Analysis #Molecular Communication and Nanonetworks #Node (physics) #Process (computing) #Slime Mold and Myxomycetes Research #cond-mat.stat-mech #physics.soc-ph #q-bio.MN

paper · pdf · doi:10.1088/1367-2630/14/2/023051

openalex publication_date 2012/02/21 · arxiv created 2013/01/29 · arxiv updated 2013/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate numerically and analytically the formation of the frozen core in critical random Boolean networks with biased functions. We demonstrate that a previously used efficient algorithm for obtaining the frozen core, which starts from the nodes with constant functions, fails when the number of inputs per node exceeds 4. We present computer simulation data for the process of formation of the frozen core and its robustness, and we show that several important features of the data can be derived by using a mean-field calculation.

Citations