no. 11
Systèmes dynamiques/Informatique théorique
Complexity of gene circuits, Pfaffian functions and the morphogenesis problem
[Complexité de réseaux de gènes, fonctions de Pfaff et le problème de morphogenèse]

Présenté par : Christophe Soulé

Vakulenko, Sergey1 ; Grigoriev, Dmitry2
1 Institute of Mechanical Engineering Problems, St Petersburg, Russia
2 IRMAR, Université de Rennes, Beaulieu, 35042 Rennes, France
Comptes Rendus. Mathématique, Tome 337 (2003) no. 11, pp. 721-724.

On considère un modèle de réseaux de gènes. Nous démontrons que ces réseaux peuvent engendrer toutes les structures spatio–temporelles et nous obtenons des bornes inférieures du nombre de gènes du réseau qui engendrent une structure prescrite.

We consider a model of gene circuits. We show that these circuits are capable to generate any spatio–temporal patterns. We give lower bounds on the number of genes required to create a given pattern.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2003.10.021
Vakulenko, Sergey 1 ; Grigoriev, Dmitry 2

1 Institute of Mechanical Engineering Problems, St Petersburg, Russia
2 IRMAR, Université de Rennes, Beaulieu, 35042 Rennes, France 
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Vakulenko, Sergey; Grigoriev, Dmitry. Complexity of gene circuits, Pfaffian functions and the morphogenesis problem. Comptes Rendus. Mathématique, Tome 337 (2003) no. 11, pp. 721-724. doi : 10.1016/j.crma.2003.10.021. http://archive.numdam.org/articles/10.1016/j.crma.2003.10.021/

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