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.
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Publié le :
Sergey Vakulenko 1 ; Dmitry Grigoriev 2
@article{CRMATH_2003__337_11_721_0, author = {Sergey Vakulenko and Dmitry Grigoriev}, title = {Complexity of gene circuits, {Pfaffian} functions and the morphogenesis problem}, journal = {Comptes Rendus. Math\'ematique}, pages = {721--724}, publisher = {Elsevier}, volume = {337}, number = {11}, year = {2003}, doi = {10.1016/j.crma.2003.10.021}, language = {en}, }
TY - JOUR AU - Sergey Vakulenko AU - Dmitry Grigoriev TI - Complexity of gene circuits, Pfaffian functions and the morphogenesis problem JO - Comptes Rendus. Mathématique PY - 2003 SP - 721 EP - 724 VL - 337 IS - 11 PB - Elsevier DO - 10.1016/j.crma.2003.10.021 LA - en ID - CRMATH_2003__337_11_721_0 ER -
Sergey Vakulenko; Dmitry Grigoriev. Complexity of gene circuits, Pfaffian functions and the morphogenesis problem. Comptes Rendus. Mathématique, Volume 337 (2003) no. 11, pp. 721-724. doi : 10.1016/j.crma.2003.10.021. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.10.021/
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