Parameter estimation of a model describing respiration rate of dragon fruit as a function of gas composition and temperature
Controlled atmosphere or modified atmosphere packaging are clean and potentially effective techniques to extend the storage life of dragon fruit. Application of these techniques requires thorough knowledge about the fruit respiration rate. To this end, this study aims at modeling respiration rate as a function of O2 and CO2 level and temperature, using Michaelis-Menten kinetics and Arrhenius' law. Dragon fruit were incubated in closed containers with different initial O2 concentrations (5-21%), initial CO2 concentrations (0-10%) and temperatures (2-35°C). A mathematical model based on Michaelis-Mentel kinetics, Arrhenius' law and Boltzmann distribution function was used to describe respiration rate in function of temperature, O2 and CO2 concentration. Data on gas concentration was used to estimate the model parameters, based on least square principle. The combined Arrhenius-Boltzmann equation was able to describe the reduced increase in respiration rate at high temperature. The estimated model was able to describe dragon fruit respiration rate, accounting for 98% of the data variance. The estimated parameter showed that CO2 has a uncompetitive inhibition on respiration. O2 concentration significantly affects both respiration and fermentation. These results are useful for further studies on the application of controlled or modified atmosphere on dragon fruit quality.
Ho, P.L., Tran, D.T., Hertog, M.L.A.T.M., Nguyen, Q.T. and Nicolaï, B.M. (2021). Parameter estimation of a model describing respiration rate of dragon fruit as a function of gas composition and temperature. Acta Hortic. 1311, 289-296
pitaya, Hylocereus undatus, modeling respiration rate, Michaelis-Menten kinetic, Arrhenius law, Boltzmann distribution function