E. O. Kutumova, “Cycles of functioning of regulatory circuits of the gene network discrete models”, Diskretn. Anal. Issled. Oper., 2011, Volume 18, Issue 3,Pages <nobr>65

This article is cited in 3 papers

Cycles of functioning of regulatory circuits of the gene network discrete models

E. O. Kutumova^ab

^a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
^b Design Technological Institute of Digital Techniques SB RAS, Novosibirsk, Russia

Abstract: 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.

UDC: 519.7

Received: 26.04.2011