[논문]Development of Kinetic Models Describing Kinetic Behavior of Bacillus cereus and Staphylococcus aureus in Milk

Kim, Hyoun Wook; Lee, Sun-Ah; Yoon, Yohan; Paik, Hyun-Dong; Ham, Jun-Sang; Han, Sang-Ha; Seo, Kuk-Hwan; Jang, Aera; Park, Bum-Young; Oh, Mi-Hwa

doi:10.5851/kosfa.2013.33.2.155

Development of Kinetic Models Describing Kinetic Behavior of Bacillus cereus and Staphylococcus aureus in Milk 원문보기

Korean journal for food science of animal resources = 한국축산식품학회지, v.33 no.2, 2013년, pp.155 - 161

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)

Abstract ▼ AI-Helper

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.

주제어

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문제 정의

The objective of this study was to develop mathematical models to describe the kinetic behaviors of B. cereus and S. aureus in milk under various storage conditions, which could affect their growth and proliferation.

제안 방법

After incubation, plates with 30–300 colonies were selected for counting. All analyses were performed 3 times, with 2 samples used for each replication, and counts were expressed as Log CFU per milliliter (Log CFU/mL).
Diluted cell suspensions that had been pre-cultured were added to milk at a volume ratio of 1:100 mL, resulting in initial inoculums of approximately 3 Log colony-forming units (CFU)/mL. Samples were then stored at 10℃, 15℃, 20℃, or 30℃ for 2 d (48 h) for B. cereus, and at 5℃, 15℃, 25℃, or 35℃ for 7 d (168 h) for S. aureus, and the samples were taken for microbial growth measurements at regular intervals throughout the storage period.
(2009) were used as observed data. The observed data were compared with the predicted bacterial populations of B. cereus and S. aureus by using our model simulation, predicted values were plotted against observed values, and B and A factors were calculated. For B.

대상 데이터

The milk was transported to the laboratory at low temperatures (< 7℃), stored at 4℃, and analyzed within 24 h. The inoculums consisted of B. cereus KCCM40935 and S. aureus KCCM12193, obtained from the Korea Culture Center of Microorganisms (KCCM, Korea). Each strain was pre-cultured in 10 mL of tryptic soy broth (TSB, Difco, USA) at 35^oC at 24 h.

이론/모형

Microbiological data (Log CFU/ml) of S. aureus and B. cereus were fitted to the modified Gompertz model (Gibson et al., 1987). The modified Gompertz model is expressed as

후속연구

In conclusion, the mathematical models developed here should be useful for describing the kinetic behaviors of B. cereus and S. aureus in milk during storage at various temperatures.

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