Food Science of Animal Resources (한국축산식품학회지)

Korean Society for Food Science of Animal Resources (한국축산식품학회)
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Development of Kinetic Models Describing Kinetic Behavior of Bacillus cereus and Staphylococcus aureus in Milk

  • Kim, Hyoun Wook (National Institute of Animal Science, Rural development Administration) ;
  • Lee, Sun-Ah (Department of Food and Nutrition, Sookmyung Women's University) ;
  • Yoon, Yohan (Department of Food and Nutrition, Sookmyung Women's University) ;
  • Paik, Hyun-Dong (Department of Food Science and Biotechnology of Animal Resource, Konkuk University) ;
  • Ham, Jun-Sang (National Institute of Animal Science, Rural development Administration) ;
  • Han, Sang-Ha (National Institute of Animal Science, Rural development Administration) ;
  • Seo, Kuk-Hwan (National Institute of Animal Science, Rural development Administration) ;
  • Jang, Aera (Department of Animal Products and Food Science, Kangwon National University) ;
  • Park, Bum-Young (National Institute of Animal Science, Rural development Administration) ;
  • Oh, Mi-Hwa (National Institute of Animal Science, Rural development Administration)
  • Received : 2012.11.01
  • Accepted : 2013.03.19
  • Published : 2013.04.30
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Abstract

This study developed predictive models to evaluate the kinetic behaviors of Bacillus cereus and Staphylococcus aureus in milk during storage at various temperatures. B. cereus and S. aureus (3 Log CFU/mL) were inoculated into milk and stored at $10^{\circ}C$, $15^{\circ}C$, $20^{\circ}C$, and $30^{\circ}C$, as well as $5^{\circ}C$, $15^{\circ}C$, $25^{\circ}C$, and $35^{\circ}C$, respectively, while bacterial populations were enumerated. The growth data were fitted to the modified Gompertz model to estimate kinetic parameters, including the maximum specific growth rate (${\mu}_{max}$; Log CFU/[$mL{\cdot}h$]), lag phase duration (LPD; h), lower asymptote ($N_0$; Log CFU/mL), and upper asymptote ($N_{max}$; Log CFU/mL). To describe the kinetic behavior of B. cereus and S. aureus, the parameters were fitted to the square root model as a function of storage temperature. Finally, the developed models were validated with the observed data, and Bias (B) and Accuracy (A) factors were calculated. Cell counts of both bacteria increased with storage time. Primary modeling yielded the following parameters; ${\mu}_{max}$: 0.14-0.75 and 0.06-0.51 Log CFU/mL/h; LPD: 1.78-14.03 and 0.00-1.44 h, $N_0$: 3.10-3.37 and 2.09-3.07 Log CFU/mL, and $N_{max}$: 7.59-8.87 and 8.60-9.32 Log CFU/mL for B. cereus and S. aureus, respectively. Secondary modeling yielded a determination of coefficient ($R^2$) of 0.926.0.996. B factors were 1.20 and 0.94, and A factors were 1.16 and 1.08 for B. cereus and S. aureus, respectively. Thus, the mathematical models developed here should be useful in describing the kinetic behaviors of B. cereus and S. aureus in milk during storage.

Keywords

References

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