Mathematical Description of the Lac Operon Regulation in Diauzic and Non-diauzic Growth on Glucose and Lactose
Two mathematical models for the regulation of the lac operon are presented to study diauxic growth and nondiauxic growth on glucose and lactose. The two models take into account all of the known regulatory mechanisms including catabolite repression, inducer exclusion, lactose hydrolysis to glucose, as well as the time delays inherent to transcription and translation. A new mechanism for catabolite repression is tested: cyclic AMP synthesis is correlated not only with the external glucose concentration but also with the internal glucose concentration. We have paid particular attention to the intracellular cAMP and the β-galactosidase in the models. Numerical studies have been tested to show that agreement in manners between the experiments and the models predictions. Changes in the extracellular glucose concentration that inhibited lactose transport could not extend or contract the diauxic growth period during growth in the presence of glucose and lactose.
Lili Lu Hongwei Lou
School of Mathematical Sciences,Fudan University,Shanghai 200433,China
国际会议
北京
英文
1-5
2009-06-11（万方平台首次上网日期，不代表论文的发表时间）