Self-Substained Oscillations in the Jacob-Monod Mode of Gene Regulation

نویسندگان

  • Z. Grossman
  • Igor Gumowski
چکیده

A plausible macroscopic model of genetic regulation by feedback repression, evolved from the original formulation of Goodwin, is considered. This model has the form of a second-order non-linear dynamic system, ~ = fl(x,y), # = f2(x,y), where x(t) ~ 0 describes the mRNA which codes for the protein y(t) ~ 0, the latter acting as a repressor. Published analytical, analog, and digital studies of this model do not report the existence of any periodic solutions. A stochastic analysis has produced some irregular undamped oscillations, but these appear to be due to the stochastic elements so introduced.

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تاریخ انتشار 1975