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Foods 2017, 6(1), 7; doi:10.3390/foods6010007

A Theoretical Analysis for Assessing the Variability of Secondary Model Thermal Inactivation Kinetic Parameters

1
Department of Food Technology, Technological Educational Institute of Athens, Athens 12210, Greece
2
Department of Food Science and Human Nutrition, Agricultural University of Athens, Athens 11855, Greece
*
Author to whom correspondence should be addressed.
Academic Editor: Wijitha Senadeera
Received: 22 September 2016 / Revised: 9 December 2016 / Accepted: 6 January 2017 / Published: 12 January 2017
(This article belongs to the Special Issue Food Modelling)
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Abstract

Traditionally, for the determination of the kinetic parameters of thermal inactivation of a heat labile substance, an appropriate index is selected and its change is measured over time at a series of constant temperatures. The rate of this change is described through an appropriate primary model and a secondary model is applied to assess the impact of temperature. By this approach, the confidence intervals of the estimates of the rate constants are not taken into account. Consequently, the calculated variability of the secondary model parameters can be significantly lower than the actual variability. The aim of this study was to demonstrate the influence of the variability of the primary model parameters in establishing the confidence intervals of the secondary model parameters. Using a Monte Carlo technique and assuming normally distributed DT values (parameter associated with a primary inactivation model), the error propagating on the DTref and z-values (secondary model parameters) was assessed. When DT confidence intervals were broad, the secondary model’s parameter variability was appreciably high and could not be adequately estimated through the traditional deterministic approach that does not take into account the variation on the DT values. In such cases, the proposed methodology was essential for realistic estimations. View Full-Text
Keywords: DT and z-values; Monte Carlo; kinetics; confidence intervals; error propagation DT and z-values; Monte Carlo; kinetics; confidence intervals; error propagation
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Giannakourou, M.C.; Stoforos, N.G. A Theoretical Analysis for Assessing the Variability of Secondary Model Thermal Inactivation Kinetic Parameters. Foods 2017, 6, 7.

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