生化系统稳态优化的一种新算法  

A new algorithm for steady-state optimization of biochemical systems

作　　者：徐恭贤[1] 邵诚[1] 修志龙[2] 

机构地区：[1]大连理工大学先进控制技术研究所,辽宁大连116024 [2]大连理工大学生物科学与工程系,辽宁大连116024

出　　处：《控制理论与应用》2007年第4期574-580,共7页Control Theory & Applications

基　　金：国家"十五"科技攻关计划资助项目(2001BA204B01).

摘　　要：针对一类生化系统的稳态优化问题,在已有间接优化方法(IOM)的线性优化问题中引入一个反映S-系统解和原模型解一致性的等式约束,应用Lagrangian乘子法将修正后的非线性优化问题转化为一个等价的线性优化问题,提出了一种改进的稳态优化新算法.该优化算法不仅可以收敛到正确的系统最优解,而且可用现有的线性规划算法去计算.最后将算法应用于几个生化系统的稳态优化中,结果表明,本文提出的优化算法是有效的.A new algorithm for steady-state optimization of a class of biochemical systems is proposed in this paper. An additional equality constraint to account for the consistency of solutions between the S-system and the original model is introduced into the existing linear optimization problem of the indirect optimization method（IOM）. Using the general Lagrangian multiplier method, the resulting optimization problem is then modified as an equivalent linear optimization problem. The optimization algorithm not only converges to the correct optimum solution of biochemical systems, but also can be solved with available linear optimization techniques. Finally, the algorithm is applied to the steady-state optimization of several biochemical systems. The results show the validity of the proposed algorithm.

关 键 词：稳态优化 间接优化方法 Lagrangian乘子法 生化系统 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]