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VOLUME 93 (2011) | ISSUE 1 | PAGE 43
Are the Complex Distributed Genetic Networks Inherently Oscillatory and Chaotic?
Abstract
Complex mRNA-protein networks with distributed regulation of gene transcription are often mimicked by random Boolean networks. According to this mapping, the gene-expression kinetics are expected to depend strongly on the network connectivity, m. Specifically, the kinetics are predicted to be oscillatory or chaotic for m> 2. We analyze this problem in more detail by using an accurate model explicitly describing the mRNA-protein interplay with randomly organized transcriptional regulation. Contrary to the expectations, our mean-field calculations and Monte Carlo simulations performed for m=1, 2 and 4 show that oscillations and chaos are lacking irrespective of m.