Robust sampling time design for biochemical systems

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Abstract

Optimal sampling time design by considering parameter uncertainties has rarely been considered in published research. In this work, the robust experimental design (RED) for sampling time selection is investigated. The aim is to exploit the sampling strategy using which the experiment can provide the most informative data for improving parameter estimation quality. With an enzyme reaction case study system, two global sensitivity analysis (GSA) approaches, the Morris screening method and the Sobol’s method, are firstly applied to find out the key parameters that have large influences to model outputs of interest. Then three different RED methods, the worst-case strategy, the Bayesian design, and the GSA-based approach, are developed to design the optimal sampling time schedule. Simulation results suggest that, among the three RED methods, the equally spaced sampling from the Bayesian design has the best robustness towards parameter uncertainties.

Original languageEnglish
Pages (from-to)215-220
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number18
DOIs
Publication statusPublished - 27 Jul 2018
Event10th IFAC Symposium on Advanced Control of Chemical Processes - Shenyang, China
Duration: 25 Jul 201827 Jul 2018
http://www.adchem2018.org/

Keywords

  • optimal experimental design (OED)
  • robust experimental design (RED)
  • sampling time design
  • global sensitivity analysis (GSA)
  • parameter estimation
  • enzyme reaction system

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