Abstract In this study, the effects of two highly variable factors, temperature ranging from 10–35 °C and light intensity from 98–1289 μmol m−2s-1, on the specific growth rate, μ, of a diatom, Phaeodactylum tricornutum, at a constant aeration rate of 3000 cm3 min-1 were elucidated. The choice of the adequate kinetic models describing the growth related to temperature and light intensity resulted in rapid determination of optimum growth conditions. Ratkowsky’s square root model and Monod-type model were assessed as the most suitable expressions among the three temperature- and eight light intensity-dependent models, respectively, presenting the highest adjusted R2 and smallest average relative deviation (ARD) values by means of nonlinear least squares method. Also, among the kinetic model approaches utilized to verify the combined effects of temperature and light intensity, the temperature-dependent Ratkowsky model in conjunction with the Monod-type expression with the smallest ARD value (4.19 %) and a high adjusted R2 (0.9775) exhibited the best surface fit. The optimum cultivation temperature and light intensity conditions for the achieving maximum specific growth rate of P. tricornutum were determined as 21 °C and 496 μmol m−2s-1, respectively, by the help of the Central Composite Design (CCD) of the Response Surface Methodology (RSM).

中文翻译：

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温度和光强相互作用对三角褐指藻生长的评价：动力学建模和优化

摘要 在本研究中，温度范围为 10–35 °C 和光强度范围为 98–1289 μmol m−2s-1 的两个高度可变因素对硅藻、三角褐指藻的特定生长速率 μ 的影响，阐明了在 3000 cm3 min-1 的恒定曝气速率下。选择适当的动力学模型来描述与温度和光照强度相关的生长，可以快速确定最佳生长条件。Ratkowsky 的平方根模型和 Monod-type 模型分别被评估为三个温度依赖模型和八个光强依赖模型中最合适的表达式，通过非线性最小化方法呈现最高的调整 R2 和最小的平均相对偏差 (ARD) 值。平方方法。还，在用于验证温度和光强度组合效应的动力学模型方法中，温度相关的 Ratkowsky 模型与具有最小 ARD 值 (4.19 %) 和高调整 R2 (0.9775) 的 Monod 型表达式相结合，表现出最佳表面贴合。借助响应的中心复合设计 (CCD)，实现三角褐指藻最大比生长速率的最佳培养温度和光照强度条件分别确定为 21 °C 和 496 μmol m-2s-1表面方法论 (RSM)。