Geodesic
On hypothetical gene networks
Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 3, pp. 134-153 
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/
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     author = {S. I. Fadeev and V. A. Likhoshvai},
     title = {On hypothetical gene networks},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2003_6_3_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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