Geodesic
An approach to modeling artificial gene networks
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 3, pp. 547-568 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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