Death rates of bacterial spores: mathematical models

1976 ◽  
Vol 22 (2) ◽  
pp. 295-300 ◽  
Author(s):  
Youn W. Han ◽  
Hwe Ik Zhang ◽  
John M. Krochta

The concave survivor curves produced as a result of spore heterogeneity were analyzed to determine whether they were caused by innate characteristics of the spores or by the acquisition of heat resistance during the heating process. Mathematical models developed for the two hypotheses revealed that the concave survivor curve (on semi-log paper) caused by innate heterogeneity is parabolic and that caused by acquired heat resistance is exponential. The mathematical models were applied to several published survivor curves of different organisms, and heat resistance parameters and the cause of curvilinearity were determined. For the cases studied, the cause of curvilinearity appears to be acquisition of heat resistance rather than innate heterogeneity of spore population.

1975 ◽  
Vol 21 (10) ◽  
pp. 1464-1467 ◽  
Author(s):  
Youn W. Han

Nonlinear survivor curves were obtained when spores of Bacillus cereus were heated in physiological saline solution. Curvilinear survivor curves did not appear to be caused by experimental artifacts but by the heterogeneity of spore population with regard to heat resistance.


1977 ◽  
Vol 23 (11) ◽  
pp. 1501-1507 ◽  
Author(s):  
Ken Sharpe ◽  
Roger M. Bektash

Models for the inactivation of bacterial spores for the case of continuously decreasing death rate are reviewed and extended to show that it is not possible to distinguish between one particular model based upon the innate heterogeneity of the population and that based upon the acquisition of heat resistance during the heating process. Two innate heterogeneity models have been fitted to published data.


2004 ◽  
Vol 67 (5) ◽  
pp. 934-938 ◽  
Author(s):  
J. COLLADO ◽  
A. FERNÁNDEZ ◽  
M. RODRIGO ◽  
A. MARTÍNEZ

The heat resistance of a wild strain of Bacillus cereus spores isolated from liquid egg was characterized, and the effect of the nutritional germinant inosine on the spore population was then studied, considering different factors such as germination temperature, inosine concentration, and age of spore culture. The heat resistance clearly indicates that these spores can survive mild heat treatments such as those used for cooked refrigerated food of extended durability or liquid egg, posing safety problems for these foods with temperature abuse. The germination study indicates that temperature, spore age, and the interaction between the two were the factors affecting the level of spores remaining after the germination process. No significant differences were found for the three inosine concentrations used in the study (1, 5, and 10 mM). The highest reduction in the spore concentration was reached at 30° C after 120 min, although the reduction in the spore counts at germination temperatures of 4 and 8° C was also considerable.


2016 ◽  
Vol 82 (19) ◽  
pp. 6019-6029 ◽  
Author(s):  
Ewelina Wachnicka ◽  
Sandra C. Stringer ◽  
Gary C. Barker ◽  
Michael W. Peck

ABSTRACTHeat treatment is an important controlling factor that, in combination with other hurdles (e.g., pH, aw), is used to reduce numbers and prevent the growth of and associated neurotoxin formation by nonproteolyticC. botulinumin chilled foods. It is generally agreed that a heating process that reduces the spore concentration by a factor of 106is an acceptable barrier in relation to this hazard. The purposes of the present study were to review the available data relating to heat resistance properties of nonproteolyticC. botulinumspores and to obtain an appropriate representation of parameter values suitable for use in quantitative microbial risk assessment. In total, 753Dvalues and 436zvalues were extracted from the literature and reveal significant differences in spore heat resistance properties, particularly those corresponding to recovery in the presence or absence of lysozyme. A total of 503Dand 338zvalues collected for heating temperatures at or below 83°C were used to obtain a probability distribution representing variability in spore heat resistance for strains recovered in media that did not contain lysozyme.IMPORTANCEIn total, 753Dvalues and 436zvalues extracted from literature sources reveal significant differences in spore heat resistance properties. On the basis of collected data, twozvalues have been identified,z= 7°C andz= 9°C, for spores recovered without and with lysozyme, respectively. The findings support the use of heat treatment at 90°C for 10 min to reduce the spore concentration by a factor of 106, providing that lysozyme is not present during recovery. This study indicates that greater heat treatment is required for food products containing lysozyme, and this might require consideration of alternative recommendation/guidance. In addition, the data set has been used to test hypotheses regarding the dependence of spore heat resistance on the toxin type and strain, on the heating technique used, and on the method ofDvalue determination used.


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