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Author(s):
Wittmann, D. M.; Marr, C.; Theis, F. J. 
Title:
Biologically meaningful update rules increase the critical connectivity of generalized Kauffman networks 
Abstract:
We generalize random Boolean networks by softening the hard binary discretization into multiple discrete states. These multistate networks are generic models of gene regulatory networks, where each gene is known to assume a finite number of functionally different expression levels. We analytically determine the critical connectivity that separates the biologically unfavorable frozen and chaotic regimes. This connectivity is inversely proportional to a parameter which measures the heterogeneity o...    »
 
Keywords:
Dynamic systems on graphs Multilevel logic Thermodynamics Transcriptional gene regulation 
Journal title:
J. Theor. Biol. 
Year:
2010 
Journal volume:
266 
Journal issue:
Pages contribution:
436-448