Are the Complex Distributed Genetic Networks Inherently Oscillatory and Chaotic?
V. P. Zhdanov
Department of Applied Physics, Chalmers University of Technology, S-412 96 Göteborg, Sweden
Boreskov Institute of Catalysis RAS, 630090 Novosibirsk, Russia
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.