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Thermal Degradation of β-Carotene from Macauba Palm: Mathematical Modeling and Parameter Estimation

Pedro Prates Valério Orcid logo ,
Pedro Prates Valério
Contact Pedro Prates Valério

Chemical Engineering Department, Federal University of Minas Gerais - UFMG

Amanda Lemette Brandão Orcid logo ,
Amanda Lemette Brandão

Chemical Engineering and Materials Department, Pontical Catholic University - PUC-RJ

Jesus Maria Frias Celayeta Orcid logo ,
Jesus Maria Frias Celayeta

Environmental Sustainability and Health Institute - Dublin Institute of Technology - DIT

Erika Cristina Cren Orcid logo
Erika Cristina Cren

Chemical Engineering Department, Federal University of Minas Gerais - UFMG

Published: 18.05.2021.

Volume 10, Issue 1 (2021)

pp. 161-172;

https://doi.org/10.7455/ijfs/10.1.2021.a3

Abstract

Worldwide, there is a current need for new sources of vegetable oils. The natural content of total carotenoids in Acrocomia aculeata palm oil (up to 378 µg.g-1) surpasses that of many other tropical fruits, making it one of its main compositional characteristics. As far as can be verified, there is no available information on the degradation kinetics of carotenoids for A. aculeata oil, which is required to describe reaction rates and to predict changes that can occur during food processing. The present study considered prediction abilities that have emerged with the use of specific kinetic data and procedures to understand thermal processing better, as an essential unity operation. Two kinetic mechanisms were proposed to describe the overall thermal degradation of carotenoids in the oil; the first one consists of three reaction steps while the other presents only one-step reaction. Mass balance equations were numerically solved by a Backward Differentiation Formula technique. The kinetic parameters from both models were estimated through a hybrid optimisation method using the Particle Swarm Optimization and the Gauss-Newton method, followed by statistical analyses. The model with more than one reaction was shown to be overparameterized and was discarded. The model with a single reaction was highly suited to handle the experimental data available, and the dependency of its rate constant on temperature was expressed according to Arrhenius law. As far we know, this is the first time the kinetics of carotenoids thermal degradation in A. aculeata oil is investigated through modelling simulation.

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