The purpose of this study was to develop a technique for designing modified atmosphere packaging (MAP) for suppressing chilling injury (CI) in cucumber fruit using a mathematical model. The respiratory quotient (RQ) changes from 0.2% to 4% of O
2 at 5°C was measured to determine the critical low O
2 limit and was found to be 0.5%. Next, respiration rates of cucumber fruit stored at 5°C under various O
2 concentrations were measured and modelled with the Michaelis-Menten equation as a function of O
2 concentration. The model provided a good prediction of the respiration rate of cucumber fruit at any O
2 concentration. A mathematical model incorporating the respiration rate and gas mass transfer through film packaging was developed to estimate the optimal O
2 permeance, leading to equilibration of O
2 concentration in the package at the established critical low O
2 limit. To verify the effect of CO
2 accumulation inside the package on CI suppression, the malondialdehyde (MDA) of the fruit packed in a low-density polyethylene (LDPE) bag with and without a CO
2 absorber was evaluated. The results suggested that reducing CO
2 in the package is effective for suppressing CI. Further study such as optimal design for the active MAP with a CO
2 absorbent is needed to realize the maximum performance of MAP in alleviating CI in cucumber fruit.
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