Oscillations in the Expression of a Self-Repressed Gene Induced by a Slow Transcriptional Dynamics

Pierre-Emmanuel Morant, Quentin Thommen, François Lemaire, Constant Vandermoëre, Benjamin Parent, and Marc Lefranc
Phys. Rev. Lett. 102, 068104 – Published 13 February 2009

Abstract

We revisit the dynamics of a gene repressed by its own protein in the case where the transcription rate does not adapt instantaneously to protein concentration but is a dynamical variable. We derive analytical criteria for the appearance of sustained oscillations and find that they require degradation mechanisms much less nonlinear than for infinitely fast regulation. Deterministic predictions are confirmed by stochastic simulations of this minimal genetic oscillator.

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  • Received 7 March 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.068104

©2009 American Physical Society

Authors & Affiliations

Pierre-Emmanuel Morant1,2, Quentin Thommen1,2, François Lemaire3,4, Constant Vandermoëre1,2, Benjamin Parent5,6,7, and Marc Lefranc1,2,7,*

  • 1Université des Sciences et Technologies de Lille, PhLAM, F-59655 Villeneuve d’Ascq, France
  • 2CNRS, UMR 8523, FR 2416, F-59655 Villeneuve d’Ascq, France
  • 3Université des Sciences et Technologies de Lille, LIFL, 59655 Villeneuve d’Ascq, France
  • 4CNRS, UMR 8022, F-59655 Villeneuve d’Ascq, France
  • 5Université des Sciences et Technologies de Lille, UGSF, F-59655 Villeneuve d’Ascq, France
  • 6CNRS, UMR 8576, F-59655 Villeneuve d’Ascq, France
  • 7Interdisciplinary Research Institute, USR CNRS 3078, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d’Ascq, France

  • *marc.lefranc@univ-lille1.fr

See Also

Delay-Induced Degrade-and-Fire Oscillations in Small Genetic Circuits

William Mather, Matthew R. Bennett, Jeff Hasty, and Lev S. Tsimring
Phys. Rev. Lett. 102, 068105 (2009)

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Vol. 102, Iss. 6 — 13 February 2009

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