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Nonlinear state-dependent impulsive system and its parameter identification in microbial fed-batch culture

机译：微生物补料分批培养中依赖状态的非线性脉冲系统及其参数辨识

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摘要

In fed-batch culture of glycerol to 1,3-propanediol by Klebsiellapneumoniae, glycerol and alkali are fed in batches into the bioreactor to provide sufficient nutrition and maintain a suitable environment for cells growth. In this paper, taking the feeding process as a state-dependent impulses process, a nonlinear state-dependent impulsive system is proposed to formulate the fed-batch process. Some important properties of the solution to the system are discussed, i.e., the existence, uniqueness and regularity of solution to the system and continuous dependence of the solution on initial value and parameters. Regarding the errors between the experimental results and calculated values as the performance index, a parameter identification model is presented. The identifiability of the parameter identification model is also proved. Finally, an improved particle swarm optimization (PSO) algorithm is constructed to seek the optimal parameters. Numerical results show that the nonlinear state-dependent impulsive system can be used to describe the fed-batch culture reasonably.
机译：在通过克雷伯氏肺炎杆菌（Klebsiellapneumoniae）将甘油分批培养成1，3-丙二醇的过程中，将甘油和碱分批进料至生物反应器中，以提供足够的营养并维持适合细胞生长的环境。本文以馈电过程为状态依存的脉冲过程，提出了一种非线性的状态依存的脉冲系统来描述分批补料过程。讨论了系统解的一些重要性质，即系统解的存在性，唯一性和规则性以及解对初始值和参数的连续依赖性。针对实验结果与计算值之间的误差作为性能指标，提出了一种参数辨识模型。还证明了参数识别模型的可识别性。最后，构造了一种改进的粒子群算法（PSO）以寻找最优参数。数值结果表明，非线性的状态相关脉冲系统可以合理地描述补料分批培养。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第2期|1126-1136|共11页
  • 作者

    Bangyu Shen; Jingang Zhai; Jinggui Gao; Enmin Feng; Zhilong Xiu;

  • 作者单位

    School of Mathematical Science, Huaiyin Normal University, Huai'an, 223300, Jiangsu, China;

    School of Mathematics and Information, Ludong University, Yantai, 264025, Shandong, China;

    College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China;

    School of Mathematical Science, Dalian University of Technology, Dalian, 116024, Liaoning, China;

    School of Environmental and Biological Science, Dalian University of Technology, Dalian, 116024, Liaoning, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nonlinear state-dependent impulsive system; Parameter identification; PSO algorithm; Fed-batch culture;

    机译：非线性状态相关的脉冲系统;参数识别;PSO算法;分批补料培养;

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