title: Self-regulating gene: an exact solution.
abstract: An exact steady-state solution of the stochastic equations governing the behavior of a gene regulated by a self-generated proteomic atmosphere is presented. The solutions depend on an adiabaticity parameter measuring the relative rate of DNA-protein unbinding and protein degradation. The steady-state solution reveals deviations from the commonly used Ackers et al approximation based on the equilibrium law of mass action, allowing anticooperative behavior in the "nonadiabatic" limit of slow binding and unbinding rates. Noise from binding and unbinding events dominates the shot noise of protein synthesis and degradation up to quite high values of the adiabaticity parameter.
authors.affiliation: Center for Theoretical Biological Physics, University of California at San Diego, La Jolla, California 92093-0374, USA.
authors.forename: J E M
authors.initials: JE
authors.lastname: Hornos
authors.forename: D
authors.initials: D
authors.lastname: Schultz
authors.forename: G C P
authors.initials: GC
authors.lastname: Innocentini
authors.forename: J
authors.initials: J
authors.lastname: Wang
authors.forename: A M
authors.initials: AM
authors.lastname: Walczak
authors.forename: J N
authors.initials: JN
authors.lastname: Onuchic
authors.forename: P G
authors.initials: PG
authors.lastname: Wolynes
mesh_terms: D000818:Animals; D003198:Computer Simulation; D004247:DNA / Q000235:genetics*; D005246:Feedback / Q000502:physiology; D005786:Gene Expression Regulation / Q000235:genetics*; D006801:Humans; D008957:Models, Genetic; D014176:Protein Biosynthesis / Q000235:genetics; D020543:Proteome / Q000235:genetics*; D013269:Stochastic Processes; D014157:Transcription Factors / Q000235:genetics* / Q000378:metabolism*; D014158:Transcription, Genetic / Q000502:physiology*
chemical_list: D020543:Proteome; D014157:Transcription Factors; D004247:DNA