Geodesic
An~approach to modeling artificial gene networks
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 3, pp. 547-568

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a new mathematical model of a repressilator, i.e., the simplest gene ring network consisting of three elements. The studied model is a three-dimensional system of ordinary differential equations depending on a single parameter. We study the existence and stability problems for relaxation periodic motion in this system.
Keywords: repressilator, gene network, relaxation cycle, asymptotic behavior, stability. 
@article{TMF_2018_194_3_a11,
     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {An~approach to modeling artificial gene networks},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {547--568},
     publisher = {mathdoc},
     volume = {194},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_194_3_a11/}
}
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. An~approach to modeling artificial gene networks. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 3, pp. 547-568. http://geodesic.mathdoc.fr/item/TMF_2018_194_3_a11/