title: Cellular control models with linked positive and negative feedback and delays. I. The models.
abstract: Basic techniques from biochemical kinetics are used to develop models for a cellular control system with linked positive and negative feedback. The models are represented by a system of nonlinear differential equations with delays. The lac operon provides an example of a control system where the transcription of the operon is controlled by induction or positive feedback control and catabolite repression or negative feedback control. These processes are linked through the metabolism of lactose.
mesh_terms: D004926:Escherichia coli / Q000235:genetics* / Q000378:metabolism; D005246:Feedback; D007700:Kinetics; D007763:Lac Operon; D007785:Lactose / Q000378:metabolism; D008433:Mathematics; D008957:Models, Genetic; D012097:Repressor Proteins / Q000378:metabolism; D014158:Transcription, Genetic
chemical_list: D012097:Repressor Proteins; C001970:allolactose; D007785:Lactose