Experimental design for optimal parameter estimation of an enzyme kinetic process based on the analysis of the Fisher information matrix

被引:26
|
作者
Lindner, PFO [1 ]
Hitzmann, B [1 ]
机构
[1] Leibniz Univ Hannover, Inst Tech Chem, D-30167 Hannover, Germany
关键词
experimental design; enzyme kinetic; Michaelis-Menten kinetic; Fisher information; parameter estimation;
D O I
10.1016/j.jtbi.2005.05.016
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The investigation of enzyme kinetics is increasingly important, especially for finding active substances and understanding intracellular behaviors. Therefore, the determination of an enzyme's kinetic parameters is crucial. For this a systematic experimental design procedure is necessary to avoid wasting time and resources. The parameter estimation error of a Michaelis-Menten enzyme kinetic process is analysed analytically to reduce the search area as well as numerically to specify the optimum for parameter estimation. From analytical analysis of the Fisher information matrix the fact is obtained, that an enzyme feed will not improve the estimation process, but substrate feeding is favorable with small volume flow. Unconstrained and constrained process conditions are considered. If substrate fed-batch process design is used instead of pure batch experiments the improvements of the Cramer-Rao lower bound of the variance of parameter estimation error reduces to 82% for and to 60% for K of the batch values in average. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:111 / 123
页数:13
相关论文
共 50 条
  • [31] Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation
    SHEN Bing-liang
    CHEN Wang-xue
    WANG Shuo
    CHEN Meng
    AppliedMathematics:AJournalofChineseUniversities, 2022, 37 (04) : 615 - 630
  • [32] Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation
    Bing-liang Shen
    Shuo Wang
    Wang-xue Chen
    Meng Chen
    Applied Mathematics-A Journal of Chinese Universities, 2022, 37 : 615 - 630
  • [33] Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation
    Shen, Bing-liang
    Wang, Shuo
    Chen, Wang-xue
    Chen, Meng
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2022, 37 (04) : 615 - 630
  • [34] Fisher Information-Based Meter Placement in Distribution Grids via the D-Optimal Experimental Design
    Xygkis, Themistoklis C.
    Korres, George N.
    Manousakis, Nikolaos M.
    IEEE TRANSACTIONS ON SMART GRID, 2018, 9 (02) : 1452 - 1461
  • [35] Power adaptation for vector parameter estimation according to Fisher information based optimality criteria
    Gurgunoglu, Doga
    Dulek, Berkan
    Gezici, Sinan
    SIGNAL PROCESSING, 2022, 192
  • [36] Fisher information matrix based time-series segmentation of process data
    Dobos, Laszlo
    Abonyi, Janos
    CHEMICAL ENGINEERING SCIENCE, 2013, 101 : 99 - 108
  • [37] Sequential ensemble-based optimal design for parameter estimation
    Man, Jun
    Zhang, Jiangjiang
    Li, Weixuan
    Zeng, Lingzao
    Wu, Laosheng
    WATER RESOURCES RESEARCH, 2016, 52 (10) : 7577 - 7592
  • [38] Population Fisher information matrix and optimal design of discrete data responses in population pharmacodynamic experiments
    Ogungbenro, Kayode
    Aarons, Leon
    JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2011, 38 (04) : 449 - 469
  • [39] Population Fisher information matrix and optimal design of discrete data responses in population pharmacodynamic experiments
    Kayode Ogungbenro
    Leon Aarons
    Journal of Pharmacokinetics and Pharmacodynamics, 2011, 38 : 449 - 469
  • [40] Practical Identifiability Analysis and Optimal Experimental Design for the Parameter Estimation of the ASM2d-Based EBPR Anaerobic Submodel
    Li, Zhenliang
    Lu, Peili
    Zhang, Daijun
    Zhang, Tian
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018