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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.

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Authors and Affiliations

  1. Demidov Yaroslavl State University, Yaroslavl, Russia

    S. D. Glyzin & A. Yu. Kolesov

  2. Lomonosov Moscow State University, Moscow, Russia

    N. Kh. Rozov

Authors
  1. S. D. Glyzin
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  2. A. Yu. Kolesov
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  3. N. Kh. Rozov
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Correspondence to S. D. Glyzin.

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Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. An Approach to Modeling Artificial Gene Networks. Theor Math Phys 194, 471–490 (2018). https://doi.org/10.1134/S0040577918030121

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  • DOI: https://doi.org/10.1134/S0040577918030121

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