Departamento de Ecuaciones Diferenciales, Facultad de Matemáticas, Universidad de Sevilla, Avda\Reina Mercedes s/n. 41012-Sevilla, Spain.
Int J Food Microbiol. 2010 Apr 15;138(3):212-22. doi: 10.1016/j.ijfoodmicro.2010.01.037. Epub 2010 Feb 10.
The goal of this work was to apply the Quasi-chemical primary model (a system of four ordinary differential equations that derives from a hypothetical four-step chemical mechanism involving an antagonistic metabolite) in the study of the evolution of yeast and lactic acid bacteria populations during the storage of Manzanilla-Aloreña table olives subjected to different mixtures of ascorbic acid, sodium metabisulphite and NaCl. Firstly, the Quasi-chemical model was applied to microbial count data to estimate the growth-decay biological parameters. The model accurately described the evolution of both populations during storage, providing detailed information on the microbial behaviour. Secondly, these parameters were used as responses and analysed according to a mixture design experiment (secondary model). The contour lines of the corresponding response surfaces clearly disclosed the relationships between growth and environmental conditions, showing the stimulating and inhibitory effect of ascorbic acid and sodium metabisulphite, respectively, on both populations of microorganisms. This work opens new possibilities for the potential use of the Quasi-chemical primary model in the study of table olive fermentations.
本工作的目的是将准化学一级模型(一个由四个常微分方程组成的系统,该系统源于涉及拮抗代谢物的假设四步化学机制)应用于研究在不同浓度抗坏血酸、亚硫酸钠和 NaCl 混合物处理下贮藏的曼萨尼拉-阿罗雷纳(Manzanilla-Aloreña)餐桌橄榄中酵母和乳酸菌种群的演变。首先,将准化学模型应用于微生物计数数据以估计生长-衰减的生物参数。该模型准确地描述了贮藏过程中两个种群的演变,提供了微生物行为的详细信息。其次,这些参数被用作响应,并根据混合设计实验(二次模型)进行分析。相应响应面的轮廓线清楚地揭示了生长与环境条件之间的关系,分别显示了抗坏血酸和亚硫酸钠对两种微生物种群的刺激和抑制作用。这项工作为准化学一级模型在餐桌橄榄发酵研究中的潜在应用开辟了新的可能性。