Juneja Vijay K, Marks Harry, Thippareddi Harshavardhan
Microbial Food Safety Research Unit, Eastern Regional Research Center, Agricultural Research Service, US Department of Agriculture, 600 E. Mermaid Lane, Wyndmoor, PA 19038, USA.
Food Microbiol. 2008 Feb;25(1):42-55. doi: 10.1016/j.fm.2007.08.004. Epub 2007 Sep 14.
This paper considers growth models including one based on Baranyi's equations for growth and the other based on the logistic function. Using a common approach for constructing dynamic models for predicting Clostridium perfringens growth in ready-to-eat uncured beef during cooling, there was no appreciable difference between the models' predictions when the population of cells was within the lag or exponential phases of growth. The developed models can be used for designing safe cooling processes; however, the discrepancies between predicted and observed growths obtained in this study, together with discrepancies reported in other papers using the same, or similar methodology as used in this paper, point to a possible inadequacy of the derived models. In particular, the appropriateness of the methodology depends on the appropriateness of using estimated growth kinetics obtained from experiments conducted in isothermal environments for determining coefficients of differential equations that are used for predicting growth in constantly changing (dynamic) environments. The coefficients are interpreted as instantaneous specific rates of change that are independent of prior history. However, there is no known scientific reason that would imply the truth of this assumption. Incorporating a different, less restrictive assumption, allowing for a dependency on the prior history of cells for these kinetic parameters, might lead to models that provide more accurate estimates of growth. For example, a cooling scenario of 54.4-27 degrees C in 1.5h, the average predicted and observed log(10) relative growths were 1.1log(10) and 0.66log(10), respectively, a difference of 0.44log(10,) whereas, when assuming a particular dependency of history, the predicted value was 0.8log(10). More research is needed to characterize the behavior of growth kinetic parameters relative to prior history in dynamic environments.
本文考虑了多种生长模型,其中一种基于巴拉尼生长方程,另一种基于逻辑斯蒂函数。采用一种通用方法构建动态模型来预测即食未腌制牛肉在冷却过程中产气荚膜梭菌的生长情况,当细胞群体处于生长的延迟期或指数期时,各模型预测结果之间没有明显差异。所开发的模型可用于设计安全的冷却过程;然而,本研究中预测生长与观察到的生长之间的差异,以及其他使用与本文相同或相似方法的论文中报道的差异,表明所推导模型可能存在不足之处。特别是,该方法的适用性取决于将等温环境实验获得的估计生长动力学用于确定用于预测不断变化(动态)环境中生长的微分方程系数是否合适。这些系数被解释为与先前历史无关的瞬时特定变化率。然而,没有已知的科学依据能证明这一假设的真实性。采用一种不同的、限制较少的假设,即允许这些动力学参数依赖于细胞的先前历史,可能会得到能提供更准确生长估计的模型。例如,在1.5小时内从54.4℃冷却至27℃的情况下,平均预测对数(10)相对生长和观察到的对数(10)相对生长分别为1.1对数(10)和0.66对数(10),相差0.44对数(10),而当假设特定的历史依赖性时,预测值为0.8对数(10)。需要更多研究来表征动态环境中生长动力学参数相对于先前历史的行为。