Paper · 2020 · Inverse Problems in Science and Engineering

An efficient optimization methodology of respiration rate parameters coupled with transport properties in mass balances to describe modified atmosphere packaging systems

Guillermo Badillo; Patricio Cumsille; Luis Segura-Ponce; et al.

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verbatim quotes
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citations
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Not open access

Abstract

In this study, we aimed to describe a modern, efficient, and reproducible methodology to optimize respiration rate parameters coupled with transport properties in mass balances describing Modified atmosphere packaging (MAP) systems. We considered mass balances for three different respiration rate j film (exponential, competitive and uncompetitive Michaelis-Menten kinetics) coupled with transport properties for two different packaging films. Experiments were conducted to validate the methodology using grapes placed in a polypropylene container opened on the top and sealed with packaging films. The methodology relies on a numerical optimization procedure called the Trust-Region-Reflective algorithm. We determined the predictive capability of models using goodness-of-fit criteria and assessed parameter uncertainty through standard errors. We also calculated the first-order optimality measure and the relative change in the sum of squares to verify the convergence of the implemented algorithm. Results showed that the respiration rate parameters obtained with this methodology for the exponential model provided a better fit than for the other two models. The fitting for the kinetic models is not very suitable since we found that the normalized standard errors were rather high. In conclusion, the methodology is robust, and we expect that it serves as a tool for assessing MAP technology design.

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Claims 3

Method / resourceobservedoriginal resultpositivemeasured

Claim · model-written summary

Exponential respiration parameters fitted better than those from the other two kinetic models.

Taxon
grapese1
Outcome
better fite0
Direction
bettere0
Comparator
the other two modelse0

Verbatim

e0

“respiration rate parameters obtained with this methodology for the exponential model provided a better fit than for the other two models”

✓ located verbatim in the source · abstract, characters 1028–1164 · show in text ↑
e1

“using grapes placed in a polypropylene container”

✓ located verbatim in the source · abstract, characters 500–548 · show in text ↑
Method / resourceobservedoriginal resultnegativemeasured

Claim · model-written summary

The kinetic model fits were unsuitable because normalized standard errors were high.

Taxon
grapese1
Outcome
normalized standard errorse0
Direction
highe0
Value
rather highe0

Verbatim

e0

“The fitting for the kinetic models is not very suitable since we found that the normalized standard errors were rather high”

✓ located verbatim in the source · abstract, characters 1166–1289 · show in text ↑
e1

“using grapes placed in a polypropylene container”

✓ located verbatim in the source · abstract, characters 500–548 · show in text ↑
Method / resourceauthor interpretationoriginal resultbasis n/a

Claim · model-written summary

The authors judged the methodology robust for assessment of MAP technology design.

Taxon
grapese1
Outcome
methodology is robuste0
Value
robuste0

Verbatim

e0

“the methodology is robust, and we expect that it serves as a tool for assessing MAP technology design”

✓ located verbatim in the source · abstract, characters 1306–1407 · show in text ↑
e1

“using grapes placed in a polypropylene container”

✓ located verbatim in the source · abstract, characters 500–548 · show in text ↑