Geodesic
Cycles of functioning of regulatory circuits of the gene network discrete models
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 3, pp. 65-75

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The paper describes a new class of cycles of the functional graphs identified by the discrete models of the gene network regulatory circuits with the threshold functions. A description of the class of cycles is obtained depending on the value of $p$ which is the threshold weight of the functions values and the number of the network vertices $n$. $P$-property criterion is proved as well as the theorem of reducibility of the cycles description for any $p>3$ to the description of 4-property cycles and hereditary cycles for $p=3$. Ill. 1, bibliogr. 9.
Keywords: gene network, discrete model, regulatory circuit, functional graph cycle, threshold function. 
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     author = {E. O. Kutumova},
     title = {Cycles of functioning of regulatory circuits of the gene network discrete models},
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E. O. Kutumova. Cycles of functioning of regulatory circuits of the gene network discrete models. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 3, pp. 65-75. http://geodesic.mathdoc.fr/item/DA_2011_18_3_a5/