报告题目：Mixed-integer minimax dynamic optimization for structure identification of glycerol metabolic network
时 间：2023年7月11日（星期二）14：30
地 点：科研楼18号楼1233
主 办：数学与统计学院
参加对象：应用数学、运筹学专业研究生及其他感兴趣的教师、学生
报告摘要：In this talk, we consider a nonlinear mixed-integer dynamic system of glycerol metabolic network with time-varying structure index function. To identify the dynamic network structure and kinetic parameters, we establish a mixed-integer minimax dynamic optimization problem with concentration robustness as its objective functional. By direct multiple shooting strategy and a decomposition approach consisting of convexification, relaxation and rounding strategy, the optimization problem is transformed into a large-scale approximate multistage parameter optimization problem. It is then solved using a competitive particle swarm optimization algorithm. We also show that the relaxation problem yields the best lower bound for the optimization problem, and its solution can be arbitrarily approximated by the solution obtained from rounding strategy. Numerical results indicate that the proposed mixed- integer dynamic system can better describe cellular self-regulation and response to intermediate metabolite inhibitions in continuous fermentation of glycerol. These numerical results show that the proposed numerical methods are effective in solving the large-scale mixed-integer dynamic optimization problems.
报告人简介： 王娟，中国石油大学（华东）理学院副教授，硕士生导师。1999年至2005年期间于武汉大学攻读理学学士及硕士学位，2012年7月取得大连理工大学理学博士学位。2019年赴澳大利亚Curtin University进行学术访问。主要研究方向为：最优控制、非线性优化和工程优化与控制。在《Journal of Process Control》、《Nonlinear Analysis: Hybrid Systems》、《Applied Mathematical Modelling》等国际期刊上发表论文10余篇。主持国家自然科学基金青年基金项目1项、山东省自然科学基金青年基金项目1项。