This work discusses the optimization of the biopolymer PHAs production by Ralstonia eutropha, in a bioreactor carried out under fed-batch mode. Although the optimization of fed-batch fermentations involves the manipulation of the substrate feed rate, which generates a singular optimal control problem, the optimal trajectory can be also set by adjusting small segments by non-linear programming. The cybernetic structured mathematical model used here in is described by a system of 12 differential equations; the strategy involves the maximization/minimization of an Objective Function considering the model as a set of implicit constraints and the discretization of the manipulated variables (substrate feed rates). The sequential quadratic program method is used to solve the optimization problem. PHAs productivity is taken as the objective function and its results are compared to those documented in the literature.

中文翻译：

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基于控制论数学模型的聚羟基链烷酸酯生物生产优化

这项工作讨论了在分批补料模式下进行的生物反应器中，真养产碱菌对生物聚合物 PHA 生产的优化。尽管补料分批发酵的优化涉及对底物进料速率的操纵，这会产生单一的最优控制问题，但也可以通过非线性规划调整小片段来设置最优轨迹。此处使用的控制论结构化数学模型由 12 个微分方程组描述；该策略涉及将模型视为一组隐式约束和操纵变量（基板进给速率）的离散化的目标函数的最大化/最小化。序列二次规划方法用于解决优化问题。