Relationship between a Gene Network Graph and Qualitative Modes of Its Functioning

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.