In this study, a model was developed to simulate the effect of temperature ($T$) and initial substrate concentration ($S_0$) on the ethanol concentration limit ($P_{\max }$) using the yeast Saccharomyces cerevisiae. To achieve this, regressions were performed using data provided by other authors for $P_{\max }$ to establish a model dependent on $T$ and $S_0$ capable of predicting results with statistical significance. After constructing the model, a response surface was generated to determine the conditions where $P_{\max }$ reaches higher values: temperatures between 28°C and 32°C and an initial substrate concentration around 200 g/L. Thus, the proposed model is consistent with the observations that increasing temperatures decrease the ethanol concentration obtained, and substrate concentrations above 200 g/L lead to a reduction in ethanol concentration even at low temperatures such as 28°C.

中文翻译：

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使用酿酒酵母开发乙醇浓度极限随温度和初始底物浓度变化的模型


在这项研究中，开发了一个模型来模拟温度的影响（ $\mathrm{时间}\$T\$$ ）和初始底物浓度（ $S_0\$\{S\}\_\{0\}\$$ ）对乙醇浓度限值（ ${磷}_{\mathrm{最大限度}}\$\{P\}\_\{\backslash 最大\}\$$ ）使用酿酒酵母。 为了实现这一目标，使用其他作者提供的数据进行回归${磷}_{\mathrm{最大限度}}\$\{P\}\_\{\backslash 最大\}\$$建立一个模型依赖于$\mathrm{时间}\$T\$$和$S_0\$\{S\}\_\{0\}\$$能够预测具有统计显着性的结果。 构建模型后，生成响应面以确定其中的条件${磷}_{\mathrm{最大限度}}\$\{P\}\_\{\backslash 最大\}\$$达到更高的值：温度在 28°C 至 32°C 之间，初始底物浓度约为 200 g/L。因此，所提出的模型与观察结果一致，即升高温度会降低获得的乙醇浓度，并且即使在 28°C 等低温下，底物浓度高于 200 g/L 也会导致乙醇浓度降低。