Teleken Jhony Tiago, Galvão Alessandro Cazonatto, Robazza Weber da Silva
Universidade Federal de Santa Catarina, Departamento de Engenharia Química e Engenharia de Alimentos, Florianópolis, SC, Brazil.
Universidade do Estado de Santa Catarina, Departamento de Engenharia de Alimentos e Engenharia Química, Pinhalzinho, SC, Brazil.
Braz J Microbiol. 2018 Jul-Sep;49(3):614-620. doi: 10.1016/j.bjm.2018.01.005. Epub 2018 Mar 7.
Mathematical models are often used to predict microbial growth in food products. An important class of these models involves the adaptation of classical sigmoid functions, such as the Gompertz and logistic functions. This study aimed to validate the use of the modified Richards model in various situations, which have not previously been tested. The model was obtained through solving a system of two differential equations and could be applied to both isothermal and non-isothermal environments. To test and validate this model, we used published datasets containing data for the growth of Pseudomonas spp. in fish products. The results obtained after fitting the model showed that it could be effectively used to describe and predict the Pseudomonas growth curves under various temperature regimens. However, the influence of the shape parameter on the growth curve is an issue that needs further evaluation.
数学模型常用于预测食品中的微生物生长。这些模型的一个重要类别涉及经典S型函数的改编，如冈珀茨函数和逻辑斯蒂函数。本研究旨在验证修正的理查兹模型在各种此前未测试过的情况下的适用性。该模型通过求解一个由两个微分方程组成的系统得到，可应用于等温环境和非等温环境。为了测试和验证该模型，我们使用了已发表的包含假单胞菌属在鱼制品中生长数据的数据集。模型拟合后得到的结果表明，它可有效地用于描述和预测不同温度条件下假单胞菌的生长曲线。然而，形状参数对生长曲线的影响是一个需要进一步评估的问题。
