王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:教务处副处长兼通识与基础教育中心主任

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:运筹学与控制论

电子邮箱:wanglei@dlut.edu.cn

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Modelling of a nonlinear switching system in microbial continuous culture and its parameter optimization via sensitivity functions

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论文类型:期刊论文

发表时间:2015-04-01

发表刊物:APPLIED MATHEMATICAL MODELLING

收录刊物:SCIE、EI

卷号:39

期号:7

页面范围:2036-2047

ISSN号:0307-904X

关键字:Nonlinear switching system; Two-phase method; Parametric sensitivity functions; Optimization algorithm; Microbial continuous fermentation

摘要:To describe the continuous bioconversion of glycerol to 1,3-propanediol concerning the intracellular and extracellular dynamics and the transports across cell membrane, we establish a nonlinear switching system and discuss its some basic properties. For this over parameterized dynamical system, we propose a two-phase method to determine its parameters. The first phase carries out parametric sensitivity analysis for the purpose of reducing the number of the unknown parameters and the second phase covers the optimization of those parameters with higher sensitivity index. Numerical calculations on the basis of multi-groups experiments indicate that the proposed switching system is appropriate and the developed methods are valid. (C) 2014 Elsevier Inc. All rights reserved.