Baranyi József, Buss da Silva Nathália, Ellouze Mariem
Institute of Nutrition, University of Debrecen, Debrecen, Hungary.
Department of Physics, Imperial College London, London, United Kingdom.
Front Microbiol. 2017 Sep 28;8:1890. doi: 10.3389/fmicb.2017.01890. eCollection 2017.
The maximum specific growth rates of 12 strains, pair-wise belonging to six groups of , were fitted against temperature by a reparametrized version of the model of Ratkowsky et al. (1983). This way, the interpretation of the new parameter set was similar to that of the cardinal-values-model of Rosso and Robinson (2001), both models including the minimum, optimum and maximum temperatures for growth as well as a fourth parameter scaling along the dependent variable. The modularity of the reparametrized version of the Ratkowsky model was utilized to show a so-far undetected relationship between this scaling parameter and the cardinal temperatures, which linked even distant (e.g., mesophilic and psychotropic) strains of . We propose that the name "tertiary modeling" should be used for investigations like ours, as logically derived from the concepts of "primary" and "secondary" modeling. Such tertiary models may reveal biological relationships between kinetic parameters within a group of strains. It can also be used to create an overarching predictive model for mixed cultures, when different strains grow together but independently of each other.
将两两属于六组的12个菌株的最大比生长速率，通过Ratkowsky等人（1983年）模型的重新参数化版本拟合到温度上。通过这种方式，新参数集的解释与Rosso和Robinson（2001年）的基数模型类似，这两个模型都包括生长的最低、最适和最高温度以及沿因变量缩放的第四个参数。利用Ratkowsky模型重新参数化版本的模块化，展示了这个缩放参数与基数温度之间迄今未被发现的关系，这种关系甚至将远缘（如嗜温菌和嗜冷菌）的菌株联系起来。我们建议将“三级建模”这个名称用于像我们这样的研究，因为它在逻辑上源自“一级”和“二级”建模的概念。这种三级模型可能揭示一组菌株内动力学参数之间的生物学关系。当不同菌株一起生长但相互独立时，它还可用于创建混合培养物的总体预测模型。
