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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2015
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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. |
format | Online Article Text |
id | pubmed-4779493 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT zhusi explicitnumericalsolutionsofamicrobialsurvivalmodelundernonisothermalconditions AT chenguibing explicitnumericalsolutionsofamicrobialsurvivalmodelundernonisothermalconditions |