Supplementary Information: Delay-induced degrade-and-fire oscillations in small genetic circuits

نویسندگان

  • William Mather
  • Matthew R. Bennett
  • Jeff Hasty
  • Lev S. Tsimring
چکیده

This Supplementary Information is organized as follows. Section II introduces two models of delay-based degradeand fire (DF) genetic oscillations in a single (negative feedback only) or dual (positive-negative feedback) systems. Section III contains the results of a deterministic analysis of the delayed negative feedback (NFB) system. Section IV examines stochastic oscillations in the NFB system and provides an analysis of the period variability due to stochastic effects. Section V briefly discusses a simplified version of the NFB-only system that uses a piecewise linear Hill function. Section VI discusses the effect of added positive feedback (PFB) on the degrade-and-fire oscillations.

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تاریخ انتشار 2008