Oscillations in the expression of a self-repressed gene induced by a slow transcriptional dynamics.
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.
Morant
Pierre-Emmanuel
PE
Université des Sciences et Technologies de Lille, PhLAM, F-59655 Villeneuve d'Ascq, France.
Thommen
Quentin
Q
Lemaire
François
F
Vandermoëre
Constant
C
Parent
Benjamin
B
Lefranc
Marc
M
D002940:Circadian Rhythm / Q000235:genetics; D004247:DNA / Q000235:genetics / Q000378:metabolism; D005786:Gene Expression Regulation; D008957:Models, Genetic; D011401:Promoter Regions, Genetic; D012313:RNA / Q000235:genetics / Q000378:metabolism; D012097:Repressor Proteins / Q000096:biosynthesis / Q000235:genetics / Q000378:metabolism; D014158:Transcription, Genetic
D012097:Repressor Proteins; D012313:RNA; D004247:DNA