Further, we present a reduced model which shows that lac mRNA and lactose form the core of the lac operon, and that this reduced model exhibits the same dynamics. This work suggests that the key to model qualitative dynamics of gene systems is the topology of the network and Boolean models...
The state space diagram for the Boolean model from Eqs. (2.53). In Chapter 1 of this volume we considered several models of the lac operon, specifically examining their transition functions, state-space diagrams and fixed points. A common feature of those models was the assumption that all ...
Since its discovery in the late 1950s, the lac operon has been serving as a model system for understanding many aspects of gene regulations. One such aspect is bistability, the ability of a system to achieve two different steady states under the same external conditions. This chapter examines ...
Furthermore, output feedback controllers are designed to make a set to be a RCIS. Finally, the proposed methods are illustrated by a reduced model of the lac operon in E. coli.doi:10.1155/2019/2731395Li, BowenLou, JungangLiu, YangWang, ZhenComplexity...
which is a reduced model for the lac operon in the bacterium Escherichia coli: {x1(t+1)=¬u1(t)∧(x2(t)∨x3(t)),x2(t+1)=¬u1(t)∧u2(t)∧x1(t),x3(t+1)=¬u1(t)∧(u2(t)∨(u3(t)∧x1(t))), where x1, x2 and x3 are state variables which denote the lac mRNA...
However, due to the entirely different coupling mechanism, existing approaches to dealing with the random BNs are not applicable to the synchronization problems of deterministic BNs, which can be used as models of coupled oscillations in the cell cycle [7], and the lac operon in Escherichia coli...
At last, the study of model about lac operon in the Escherichia coli shows the effectiveness of the main results.doi:10.1016/j.jfranklin.2017.08.017Tong, LiyunZhejiang Normal UnivLiu, YangZhejiang Normal UnivAlsaadi, Fuad EKing Abdulaziz UnivHayat, Tasawar...
At the time of their invention [21], very few detailed gene regulatory circuits were known (e.g., the lac-operon studied by Monod and Jacob), so the idea behind the use of random nets was that of exploring the possible outcomes of a web of interacting regulatory elements, without aiming...