Theoretical and Mathematical Physics

, Volume 194, Issue 3, pp 471–490 | Cite as

An Approach to Modeling Artificial Gene Networks

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Abstract

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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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Demidov Yaroslavl State UniversityYaroslavlRussia
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

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