Boolean network representation of a continuous-time system and finite-horizon optimal control: application to the single-gene regulatory system for the lac operon

被引:9
作者
Menini, Laura [1 ]
Possieri, Corrado [1 ]
Tornambe, Antonio [1 ]
机构
[1] Univ Roma Tor Vergata, Dipartimento Ingn Civile & Ingn Informat, Via Politecn 1, Rome, Italy
关键词
Boolean network; optimization; lac operon single-gene regulatory system; CELLULAR CONTROL PROCESSES; CATABOLITE REPRESSION; INDUCER EXCLUSION; ESCHERICHIA-COLI; LACTOSE; FEEDBACK; MODEL; BISTABILITY; MATHEMATICS; DYNAMICS;
D O I
10.1080/00207179.2016.1186289
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the single-gene regulatory system for the lac operon is considered and a method to build a Boolean network able to represent its dynamics is given. A procedure, based on techniques borrowed from algebraic geometry, to compute an optimal control policy minimising a cost function is given for such a Boolean network. A tool to apply such an optimal control policy to the continuous time system is reported. The proposed control method is tested in two simulative examples.
引用
收藏
页码:519 / 552
页数:34
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