Hybrid Models for Gene Regulatory Networks: The Case of lac Operon in E. Coli

摘要

In this paper, we study a hybrid automaton model of the lac operon regulating lactose metabolism in E. Coli. We identify two stationary conditions for the system corresponding to lactose metabolism being induced/uninduced, and characterize the extra-cellular concentrations of glucose and lactose that are compatible with them. We also investigate conditions for switching between the two identified stationary conditions.