一类基因调控批式流加发酵的时滞切换系统多目标优化  

Multi-Objective Optimization of Switched Time-Delay System in a Class of Fed-Batch Fermentation Based on Genetic Regulation

作　　者：高晓华 翟金刚 冯恩民[2] GAO Xiaohua;ZHAI Jingang;FENG Enmin(School of Mathematics and Statistics Science, Ludong University, Yantai 264025;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024)

机构地区：[1]鲁东大学数学与统计科学学院,烟台264025 [2]大连理工大学数学科学学院,大连116024

出　　处：《系统科学与数学》2019年第3期378-395,共18页Journal of Systems Science and Mathematical Sciences

基　　金：山东省自然科学基金(ZR2014FM029);山东省高等学校科技计划(J14LI06)资助课题

摘　　要：针对一类非耦联批式流加发酵生产1,3-丙二醇(1,3-PD)问题,综合考虑反应过程中存在的时间延迟及dha调节子的调控作用,得到了一个含细胞内外要素及调节子等各物质浓度变化的非线性时滞切换系统.为最大化1,3-PD产量的同时提高甘油的转化率,以甘油和碱的流加速率、切换时刻为决策变量,建立了包含时滞切换系统和状态不等式约束的多目标优化模型.利用Normal Constraint(NC)方法,将多目标优化转化为一系列单目标优化问题,讨论了含多个时滞量的梯度计算公式,构造了基于序列二次规划方法的数值优化算法(MPA-SQP).通过大规模优化计算.得到了有参考价值的Pareto解.For an uncoupled microbial fed-batch fermentation process of glycerol to1,3-propanediol(1,3-PD),considering that the time delay in reaction process and the regulation of dha regulator,a nonlinear time-delay switched system model is established dominating the change of concentrations with comprehensive factors that both the intracellular and extracellular environments and regulators are involved.In order to maximize the yield of 1,3-PD and increase the conversion rate of glycerol at the same time,taking the switching time and the feeding rates of glycerol and alkali as decision variables,we present a multi-objective optimization problem involving the time-delay system and continuous state inequality constraints.For this multi-objective optimization problem,we convert it into a sequence of single-objective optimization problems by using the normal constraint method(NC).The formulas of gradient involving multiple delays are discussed.An algorithm based on sequential quadratic programming method(MPA-SQP)is described.Using the above algorithm,the valuable Pareto solutions are obtained by the large scale optimization calculations.

关 键 词：批式流加发酵 1 3-丙二醇 时滞 切换系统 多目标优化 

分 类 号：O224[理学—运筹学与控制论] TQ920.1[理学—数学]