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Modeling of Gene Expression by the Delay Equation

  • V. A. LikhoshvaiEmail author
  • G. V. Demidenko
  • S. I. Fadeev
Chapter

Abstract

We consider an autonomous system of differential equations modeling a substance synthesis without branching. We prove the theorem on passage to the limit from the system to a delay differential equation for unlimited increase in number of intermediate stages.

Key words

genetic systems modeling delay equation differential autonomous systems 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • V. A. Likhoshvai
    • 1
    • 3
    Email author
  • G. V. Demidenko
    • 2
  • S. I. Fadeev
    • 2
  1. 1.Institute of Cytology and GeneticsSiberian Branch of the Russian Academy of SciencesNovosibirskRussia
  2. 2.Sobolev Institute of MathematicsSiberian Branch of the Russian Academy of SciencesNovosibirskRussia
  3. 3.Ugra Research Institute of Information TechnologiesKhanty-MansyiskRussia

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