Optimizing Oxygen Input Profiles for Efficient Estimation of Michaelis-Menten Respiration Models
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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.
KeywordsOptimal experimental design Dynamic experiment Michaelis-Menten respiration Post-harvest storage
Author Arno Strouwen is a PhD fellow Strategic Basic Research (SB) of the Fund for Scientific Research, Flanders (FWO), project 1S58717N.
The authors received financial support from KU Leuven (project C16/16/002).
- Atkinson, A., Donev, A., Tobias, R. (2007). Optimum experimental designs, with SAS Vol. 34. Oxford: Oxford University Press.Google Scholar
- Berg, J.M., Tymoczko, J.L., Gatto, G. Jr. (2002). Biochemistry, WH Freeman.Google Scholar
- Fidler, J., & North, C. (1967). The effect of conditions of storage on the respiration of apples: I. the effects of temperature and concentrations of carbon dioxide and oxygen on the production of carbon dioxide and uptake of oxygen. Journal of Horticultural Science, 42(2), 189–206.CrossRefGoogle Scholar
- Michaelis, L., & Menten, M.L. (1913). Die Kinetik der Invertinwirkung, vol. 49, Universitätsbibliothek Johann Christian Senckenberg.Google Scholar
- Munack, A., & Posten, C. (1989). Design of optimal dynamical experiments for parameter estimation. In American control conference, 1989 (pp. 2010–2016): IEEE.Google Scholar
- Vassiliadis, V.S. (1993). Computational solution of dynamic optimization problems with general differential-algebraic constraints, PhD thesis, Imperial College, University of London.Google Scholar