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Limitations of the Log-Logistic Model for the Analysis of Sigmoidal Microbial Inactivation Data for High-Pressure Processing (HPP)

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Abstract

This study identified limitations of the log-logistic model to evaluate microbial inactivation kinetics by high-pressure processing (HPP) including the need to assign a numerical value to “approximate” the undefined expression log10 t = 0 and the misinterpretation of its parameters due to a derivation flaw. Peer-reviewed HPP microbial inactivation data were adjusted to a sigmoidal equation (SIG), the original “vitalistic” log-logistic models (VIT-1, VIT-6), and two functions that did not follow the original derivation procedure (LOG-1, LOG-6). Their goodness of fit was determined utilizing the coefficient of determination (R 2) and Akaike information criteria (AIC). The shape of the survival curve greatly influenced the performance of log-logistic models. VIT and LOG models performed equally when the kinetic curve showed a sigmoidal shape, and the numerical values of their parameter estimates were identical regardless of the log10 (t = 0) approximation. Conversely, most concave curves yielded inaccurate parameter estimates for all models. LOG-1 and VIT-1 performed best when log10 t = 0 was −1 or −2, whereas LOG-6 and VIT-6 yielded best results for values of −3 to −9. SIG ranked last for most datasets but occasionally performed best (Akaike weight factor wAICi  = 0.40–1.00) when microbial survival counts showed clear sigmoidal shapes. VIT models consistently displayed R 2 ≥ 0.98, and their parameters can be interpreted within a “biological” context using the corrected derivation shown for LOG models. However, concave curves are more frequently observed for HPP microbial inactivation, and fitting the experimental data to log-logistic models deems unnecessary.

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Acknowledgments

Authors Vinicio Serment-Moreno and Jorge Welti-Chanes acknowledge the support from Tecnológico de Monterrey (research chair funds GEE 1A01001 and CDB081), México’s CONACYT Scholarship Program (Grant no. 227790), and the Food Science and Technology department at Oregon State University where author Serment-Moreno completed an international internship. This project was supported also by Formula Grant nos. 2011-31200-06041 and 2012-31200-06041 from the USDA National Institute of Food and Agriculture.

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Authors and Affiliations

  1. Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey Centro de Biotecnología FEMSA, Av. Eugenio Garza Sada 2501 Sur, Col. Tecnológico, 64849, Monterrey, NL, México

    Vinicio Serment-Moreno, José Guadalupe Ríos-Alejandro & Jorge Welti-Chanes

  2. Food Process Engineering Group, Department of Food Science and Technology, Oregon State University, 100 Wiegand Hall, Corvallis, OR, 97331, USA

    J. Antonio Torres

  3. Department of Statistics, Oregon State University, 54 Kidder Hall, Corvallis, OR, 97331, USA

    Claudio Fuentes

  4. Center for Nonthermal Processing of Food, Washington State University, Pullman, WA, 99164-6120, USA

    Gustavo Barbosa-Cánovas

Authors
  1. Vinicio Serment-Moreno
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  2. J. Antonio Torres
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  3. Claudio Fuentes
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  4. José Guadalupe Ríos-Alejandro
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  5. Gustavo Barbosa-Cánovas
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  6. Jorge Welti-Chanes
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Correspondence to J. Antonio Torres or Jorge Welti-Chanes.

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Serment-Moreno, V., Torres, J.A., Fuentes, C. et al. Limitations of the Log-Logistic Model for the Analysis of Sigmoidal Microbial Inactivation Data for High-Pressure Processing (HPP). Food Bioprocess Technol 9, 904–916 (2016). https://doi.org/10.1007/s11947-016-1677-2

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