Increasing numbers of studies are using Aliivibrio fischeri (A. fischeri), a marine bioluminescent bacterium as a model, however the culture medium used for its growth are complex and expensive. The objectives of this study were: (1) to evaluate the effect of yeast extract, tryptone, and NaCl to select a simple and inexpensive culture medium suitable for A. fischeri growth and bioluminescence induction; and (2) to compare the performance of mathematical models to predict the growth of A. fischeri. A fractional factorial design was performed to evaluate the effect of yeast extract, tryptone, and sodium chloride on the luminescence of A. fischeri. The result showed that sodium chloride is the most important factor, congruent with its inducer role in bioluminescence. The best medium for bioluminescence induction was selected through an optimization plot, this medium is inexpensive, and generates the same luminescence as commercial formulations. The estimation of A. fischeri growth at OD600 measurement was statistically analyzed. All evaluated models fitted the data adequately (r2 > 0.96). The nonlinear models Gompertz, Richards and logistic provided a lower variation and a better fit of the growth estimation (r2 >0.99), showing that these mathematical models can be used for the accurate growth prediction of A. fischeri.

中文翻译：

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费氏拟南芥生物发光的简单介质的实验设计和生长估计的数学模型。

越来越多的研究正在使用海洋生物发光细菌作为模型的拟南芥（A. fischeri）（A. fischeri），但是用于其生长的培养基复杂且昂贵。这项研究的目的是：（1）评估酵母提取物，胰蛋白p和NaCl的作用，以选择一种简单廉价的适于费氏曲霉生长和生物发光诱导的培养基；（2）比较数学模型的性能以预测费氏曲霉的生长。进行分数分解设计以评估酵母提取物，胰蛋白p和氯化钠对费氏曲霉发光的影响。结果表明，氯化钠是最重要的因素，与其在生物发光中的诱导作用一致。通过优化图选择了最佳的生物发光诱导培养基，该培养基价格便宜，并且产生与商业配方相同的发光。统计分析OD 600测量时费氏曲霉生长的估计。所有评估模型均充分拟合了数据（r2> 0.96）。非线性模型Gompertz，Richards和Logistic提供了较低的变异性和对生长估计的更好拟合（r2> 0.99），这表明这些数学模型可用于费氏曲霉的准确生长预测。