Oscillations in the Expression of a Self-Repressed Gene Induced<? format?> by a Slow Transcriptional Dynamics
PE Morant, Q Thommen, F Lemaire, C Vandermoëre… - Physical review …, 2009 - APS
Physical review letters, 2009•APS
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.
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.
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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