Influence of catabolite repression and inducer exclusion on the bistable behavior of the lac operon.
A mathematical model of the lac operon which includes all of the known regulatory mechanisms, including external-glucose-dependent catabolite repression and inducer exclusion, as well as the time delays inherent to transcription and translation, is presented. With this model we investigate the influence of external glucose, by means of catabolite repression and the regulation of lactose uptake, on the bistable behavior of this system.
Centre for Nonlinear Dynamics, and Departments of Physiology, Physics, and Mathematics, McGill University, H3G 1Y6 Montreal, Quebec, Canada. moyo@esfm.ipn
Moisés
M
Santillán
Michael C
MC
Mackey
D002384:Catalysis; D003198:Computer Simulation; D002373:Cyclic AMP Receptor Protein / Q000235:genetics / Q000378:metabolism*; D004926:Escherichia coli / Q000235:genetics / Q000378:metabolism; D015964:Gene Expression Regulation, Bacterial / Q000502:physiology*; D005947:Glucose / Q000235:genetics / Q000378:metabolism*; D006706:Homeostasis / Q000502:physiology; D007763:Lac Operon / Q000502:physiology*; D007785:Lactose / Q000235:genetics / Q000378:metabolism*; D008954:Models, Biological; D011401:Promoter Regions, Genetic / Q000235:genetics; D001616:beta-Galactosidase / Q000235:genetics / Q000378:metabolism*
D002373:Cyclic AMP Receptor Protein; D001616:beta-Galactosidase; D005947:Glucose; D007785:Lactose