Geodesic
On hypothetical gene networks
Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 3, pp. 134-153

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We study hypothetical gene networks (HGN), which are used in mathematical modeling in information biology. We mainly study symmetric HGN of class $1$, called $M(n,k)$ models. The results obtained support the well-known $(n,k)$-criterion that postulates the existence of stable limit solutions of the autonomous systems considered. In many respects the methods for investigating $M(n,k)$ can be extended to symmetric HGN of other classes. 
@article{SJIM_2003_6_3_a10,
     author = {S. I. Fadeev and V. A. Likhoshvai},
     title = {On hypothetical gene networks},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {134--153},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2003_6_3_a10/}
}
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S. I. Fadeev; V. A. Likhoshvai. On hypothetical gene networks. Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 3, pp. 134-153. http://geodesic.mathdoc.fr/item/SJIM_2003_6_3_a10/