title: Oscillations in the expression of a self-repressed gene induced by a slow transcriptional dynamics.
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.
authors.affiliation: Université des Sciences et Technologies de Lille, PhLAM, F-59655 Villeneuve d'Ascq, France.
authors.forename: Pierre-Emmanuel
authors.initials: PE
authors.lastname: Morant
authors.forename: Quentin
authors.initials: Q
authors.lastname: Thommen
authors.forename: François
authors.initials: F
authors.lastname: Lemaire
authors.forename: Constant
authors.initials: C
authors.lastname: Vandermoëre
authors.forename: Benjamin
authors.initials: B
authors.lastname: Parent
authors.forename: Marc
authors.initials: M
authors.lastname: Lefranc
mesh_terms: 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
chemical_list: D012097:Repressor Proteins; D012313:RNA; D004247:DNA