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Self-Oscillations in Hypothetical Gene Networks

  • V. A. LikhoshvaiEmail author
  • V. V. Kogai
  • S. I. Fadeev
Chapter

Abstract

Detection of cyclic modes in gene networks is an important problem in analysis of patterns of gene network structure and function. Consequently, study of the special class of ordinary and delay differential equations modeling gene network regulatory circuits is fairly topical. This work presents an efficient method for numerical study of self-oscillations described by autonomous systems of special differential equations modeling class one symmetrical canonical hypothetical gene network (Likhoshvai et al., 2003).

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
    Email author
  • V. V. Kogai
    • 2
  • S. I. Fadeev
    • 2
  1. 1.Institute of Cytology and GeneticsSiberian Branch of the Russian Academy of SciencesNovosibirskRussia
  2. 2.Institute of MathematicsSiberian Branch of the Russian Academy of SciencesNovosibirskRussia

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