Corradini M G, Peleg M
Department of Food Science, Chenoweth Laboratory, University of Massachusetts, Amherst, MA 01003, USA.
J Appl Microbiol. 2005;99(1):187-200. doi: 10.1111/j.1365-2672.2005.02570.x.
To develop a mathematical method to estimate non-isothermal microbial growth curves in foods from experiments performed under isothermal conditions and demonstrate the method's applicability with published growth data.
Published isothermal growth curves of Pseudomonas spp. in refrigerated fish at 0-8 degrees C and Escherichia coli 1952 in a nutritional broth at 27.6-36 degrees C were fitted with two different three-parameter 'primary models' and the temperature dependence of their parameters was fitted by ad hoc empirical 'secondary models'. These were used to generate non-isothermal growth curves by solving, numerically, a differential equation derived on the premise that the momentary non-isothermal growth rate is the isothermal rate at the momentary temperature, at a time that corresponds to the momentary growth level of the population. The predicted non-isothermal growth curves were in agreement with the reported experimental ones and, as expected, the quality of the predictions did not depend on the 'primary model' chosen for the calculation.
A common type of sigmoid growth curve can be adequately described by three-parameter 'primary models'. At least in the two systems examined, these could be used to predict growth patterns under a variety of continuous and discontinuous non-isothermal temperature profiles.
The described mathematical method whenever validated experimentally will enable the simulation of the microbial quality of stored and transported foods under a large variety of existing or contemplated commercial temperature histories.
开发一种数学方法,根据等温条件下进行的实验来估算食品中非等温微生物生长曲线,并通过已发表的生长数据证明该方法的适用性。
用两种不同的三参数“初级模型”拟合了假单胞菌属在0 - 8℃冷藏鱼中的等温生长曲线以及大肠杆菌1952在27.6 - 36℃营养肉汤中的等温生长曲线,并通过特殊经验“次级模型”拟合其参数的温度依赖性。通过数值求解一个基于瞬间非等温生长速率是瞬间温度下的等温速率这一前提推导出来的微分方程,在对应于种群瞬间生长水平的时刻,利用这些来生成非等温生长曲线。预测的非等温生长曲线与报道的实验曲线一致,并且正如预期的那样,预测质量不取决于用于计算的“初级模型”。
三参数“初级模型”可以充分描述常见类型的S形生长曲线。至少在所研究的两个系统中,这些模型可用于预测各种连续和不连续非等温温度曲线下的生长模式。
所描述的数学方法一旦经过实验验证,将能够模拟在各种现有或设想的商业温度历史下储存和运输食品的微生物质量。