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Relationship between a Gene Network Graph and Qualitative Modes of Its Functioning
Authors:Likhoshvai  V. A.  Matushkin  Yu. G.  Fadeev  S. I.
Affiliation:(1) Siberian Division, Russian Academy of Sciences, Institute of Cytology and Genetics, Novosibirsk, 630090, Russia;(2) Siberian Division, Russian Academy of Sciences, Institute of Mathematics, Novosibirsk, 630090, Russia
Abstract:
Theoretical investigation of properties of assumed gene networks constructed from elementary units of two types, genetic elements and control links, was carried out. A test was formulated for a subclass of such networks with cyclic structure called S(n,k) networks allowing calculation-free prediction of the network limit properties (the presence/absence and number of stationary and/or cyclic functioning modes) from a graph of the network structure. The data obtained can be useful for constructing gene networks with predefined properties.
Keywords:gene network  mathematical model  control  negative and positive feedbacks  limit cycles  stability
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