Estimation of the survival curve of Listeria monocytogenes during non-isothermal heat treatments |
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| Affiliation: | 1. Department of Food Science, Chenoweth Laboratory, University of Massachusetts, Amherst, MA 01003, USA;2. Department of Physics, Hasbrouck Laboratory, University of Massachusetts, Amherst, MA 01003, USA;3. Food Science Australia (CSIRO & AFISC), PO Box 52, North Ryde NSW 1670, Australia;1. Department of Chemistry, Malek-ashtar University of Technology, Shahin-shahr P.O. Box 83145/115, Islamic Republic of Iran;2. Department of Chemistry, University of Science and Technology, P.O. Box 16846-13114, Tehran, Islamic Republic of Iran;1. Université de Carthage, Laboratoire de Chimie des Matériaux, Faculté des Sciences de Bizerte, 7021 Zarzouna, Tunisia;2. Centre de Diffractométrie Henri Longchambon, Université Claude Bernard Lyon 1, Villeurbanne, France;4. Laboratoire de Chimie Organométallique de Surface (LCOMS), Ecole Supérieure de Chimie Physique Electronique, 69626 Villeurbanne Cedex, France;1. School of Chemistry and Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, China;2. Beijing Key Laboratory of Ionic Liquids Clean Process, State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;1. U.S. Food and Drug Administration, Laurel, MD 20708, United States;2. UMCP JIFSAN Program, 5201 Paint Branch Pkwy Patapsco Building Suite 2134, University of Maryland, College Park 20742, United States;3. Frostburg State University, 101 Braddock Rd, Frostburg MD 21532, United States;4. Branch High School 14121 Old Columbia Pike, Burtonsville MD 20866, United States;1. Institute for Ceramics and Glass (ICV-CSIC), Madrid, Spain;2. Centro de Investigación en Química Biológica y Materiales Moleculares (CIQUS), Universidad de Santiago de Compostela, 15782-Santiago de Compostela, Spain |
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| Abstract: | Published survival curves of Listeria monocytogenes under several constant temperatures in the range of 50–65°C could be described by the model Log10S(t)]=−b(T)tn(T), where S(t) is the momentary survival ratio, and b(T) and n(T) coefficients whose temperature dependence was expressed by empirical models. When the temperature history T(t) is also expressed algebraically, b(T) and n(T) are transformed into time dependent terms, bT(t)] and nT(t)] respectively. If there is no growth and damage repair during the heating process, and the momentary inactivation rate only depends on the momentary temperature and survival ratio, then the solution of the differential equation dLog10S(t)]/dt=−bT(t)]*nT(t)]*{−Log10S(t)]/bT(t)]}∧{(nT(t)]−1)/nT(t)]} provides the survival curve under the specified non-isothermal conditions. The validity of this model is demonstrated by the agreement of its predictions, calculated numerically using Mathematica®, to reported survival data of Listeria during heating at a constant and varying rates. Unlike in the traditional calculation methods of microbial survival, the one employed here does not require that microbial mortality be a process following a first or any other order kinetics model. |
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