Geodesic
Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms
Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 3, pp. 25-40

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We introduce and analyze discrete-automaton models of gene networks where weight functions of vertices take into account various forms of regulatory activity of agents. Within the model, we analyze a discrete mapping specified by a fragment of the gene network of E.coli. For this mapping, we found a number of fixed points using SAT-approach. Also we analyze mappings specified by random graphs generated according to Gilbert–Erdos–Renyi and Watts–Strogatz models. For these mappings, it was possible to find fixed points and cycles of length 2 and 3. This work can be considered as a review of our recent results regarding discrete models of gene networks and symbolic methods of analysis of their functioning. Ill. 6, tab. 2, bibliogr. 27.
Keywords: discrete function, discrete automaton model of gene networks, SAT. 
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     title = {Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms},
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A. A. Evdokimov; S. E. Kochemazov; I. V. Otpushennikov; A. A. Semenov. Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms. Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 3, pp. 25-40. http://geodesic.mathdoc.fr/item/DA_2014_21_3_a3/