S-型色氨酸生物合成系统的双层优化  

Bi-Level Optimization of S-Type Tryptophan Biosynthesis Systems

作　　者：胡冬梅 徐恭贤[1] HU Dongmei;XU Gongxian(College of Mathematical Sciences, Bohai University, Jinzhou 121013, China)

机构地区：[1]渤海大学数学科学学院,辽宁锦州121013

出　　处：《沈阳大学学报（自然科学版）》2022年第3期239-244,共6页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(11101051);辽宁省自然科学基金资助项目(20180550839);辽宁省教育厅科学研究项目(LJ2020015)。

摘　　要：研究了S-型色氨酸生物合成系统的稳态优化问题。首先给出了S-型色氨酸生物合成系统的数学模型;然后构建了S-型色氨酸生物合成系统的双层稳态优化模型;最后利用罚函数法将所构建的稳态优化问题转化为新的非线性规划问题。通过计算转化后的非线性规划问题,获得了S-型色氨酸生物合成系统稳态优化问题的最优解。结果表明:色氨酸产率约为基本稳态时的4.3731倍;代谢物浓度之和为参考稳态时的80.17%。The steady-state optimization of S-type tryptophan biosynthesis system was studied.A mathematical model of S-type tryptophan biosynthesis system was given,and then a two-layer steady-state optimization model of S-type tryptophan biosynthesis system was constructed.In order to solve the previously constructed steady-state optimization problem,the penalty function method was used to transform the constructed steady-state optimization problem into a new nonlinear programming problem.The results showed that the yield of tryptophan obtained was about 4.3731 times of that in the basic steady state and the sum of the metabolites concentration was 80.17%of that in the reference steady state,compared with 1.3102 in the basic steady state.

关 键 词：色氨酸生物合成系统 S-型系统 双层优化 非线性规划 稳态优化 

分 类 号：O29[理学—应用数学]