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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A Stochastic Model of Microbial Bioconversion Process in Batch Culture

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论文类型:期刊论文

发表时间:2011-01-01

发表刊物:INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING

收录刊物:SCIE、EI、Scopus

卷号:9

ISSN号:1542-6580

关键字:batch culture; specific rate of cell growth; nonlinear dynamical system; computer simulation

摘要:The stochastic counterpart to the deterministic description of batch fermentation with ordinary differential equation is investigated in the process of glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumonia. We briefly discuss the batch fermentation process driven by five-dimensional Brownian motion and Lipschitz coefficient, which is suitable for the actual fermentation. Subsequently, we study the existence and uniqueness of solutions for the stochastic system as well as the boundedness of the Two-order Moment and the Markov property of the solution. Finally, computer simulation results reveal the peculiar role of randomness in the dynamical responses of the batch culture.