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Optimizing Oxygen Input Profiles for Efficient Estimation of Michaelis-Menten Respiration Models

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Abstract

Models based on mass balances and Michaelis-Menten respiration kinetics are increasingly used to determine optimal storage conditions of fresh fruits and vegetables. The model parameters are usually estimated from respiration experiments at different, but fixed, gas conditions according to a response surface design. This is a tedious procedure that requires a gas mixing facility or a series of gas cylinders with appropriate composition. In this paper, we consider a simpler approach, in which the respiration kinetics of pear fruit are modeled using a single experiment with a time-varying O2 input profile. To optimize the information content produced by the O2 profile, we apply optimal dynamic experimental design principles and present a modified coordinate-exchange algorithm to achieve this goal. Finally, we demonstrate the added value of our approach by comparing the optimal O2 input profiles to several intuitive benchmark experiments.

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Acknowledgements

Author Arno Strouwen is a PhD fellow Strategic Basic Research (SB) of the Fund for Scientific Research, Flanders (FWO), project 1S58717N.

Funding

The authors received financial support from KU Leuven (project C16/16/002).

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Authors and Affiliations

  1. Faculty of Bioscience Engineering, KU Leuven: BIOSYST-MeBioS, Leuven, Belgium

    Arno Strouwen, Bart M. Nicolaï & Peter Goos

  2. Faculty of Business and Economics, Department of Engineering Management, University of Antwerp, Antwerp, Belgium

    Peter Goos

Authors
  1. Arno Strouwen
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  2. Bart M. Nicolaï
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  3. Peter Goos
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Correspondence to Peter Goos.

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Strouwen, A., Nicolaï, B.M. & Goos, P. Optimizing Oxygen Input Profiles for Efficient Estimation of Michaelis-Menten Respiration Models. Food Bioprocess Technol 12, 769–780 (2019). https://doi.org/10.1007/s11947-019-02250-w

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  • DOI: https://doi.org/10.1007/s11947-019-02250-w

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