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Explicit numerical solutions of a microbial survival model under nonisothermal conditions

Differential equations used to describe the original and modified Geeraerd models were, respectively, simplified into an explicit equation in which the integration of the specific inactivation rate with respect to time was numerically approximated using the Simpson's rule. The explicit numerica...

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Detalles Bibliográficos
Autores principales: Zhu, Si, Chen, Guibing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779493/
https://www.ncbi.nlm.nih.gov/pubmed/27004117
http://dx.doi.org/10.1002/fsn3.288
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author Zhu, Si
Chen, Guibing
author_facet Zhu, Si
Chen, Guibing
author_sort Zhu, Si
collection PubMed
description Differential equations used to describe the original and modified Geeraerd models were, respectively, simplified into an explicit equation in which the integration of the specific inactivation rate with respect to time was numerically approximated using the Simpson's rule. The explicit numerical solutions were then used to simulate microbial survival curves and fit nonisothermal survival data for identifying model parameters in Microsoft Excel. The results showed that the explicit numerical solutions provided an easy way to accurately simulate microbial survival and estimate model parameters from nonisothermal survival data using the Geeraerd models.
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spelling pubmed-47794932016-03-21 Explicit numerical solutions of a microbial survival model under nonisothermal conditions Zhu, Si Chen, Guibing Food Sci Nutr Original Research Differential equations used to describe the original and modified Geeraerd models were, respectively, simplified into an explicit equation in which the integration of the specific inactivation rate with respect to time was numerically approximated using the Simpson's rule. The explicit numerical solutions were then used to simulate microbial survival curves and fit nonisothermal survival data for identifying model parameters in Microsoft Excel. The results showed that the explicit numerical solutions provided an easy way to accurately simulate microbial survival and estimate model parameters from nonisothermal survival data using the Geeraerd models. John Wiley and Sons Inc. 2015-11-14 /pmc/articles/PMC4779493/ /pubmed/27004117 http://dx.doi.org/10.1002/fsn3.288 Text en © 2015 The Authors. Food Science & Nutrition published by Wiley Periodicals, Inc. This is an open access article under the terms of the Creative Commons Attribution (http://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Original Research
Zhu, Si
Chen, Guibing
Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title_full Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title_fullStr Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title_full_unstemmed Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title_short Explicit numerical solutions of a microbial survival model under nonisothermal conditions
title_sort explicit numerical solutions of a microbial survival model under nonisothermal conditions
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4779493/
https://www.ncbi.nlm.nih.gov/pubmed/27004117
http://dx.doi.org/10.1002/fsn3.288
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