Abstract In this work, the rate equations of two simultaneous bisubstrate Ping-Pong in series reactions have been developed for the first time. To obtain these equations, the approximation to the stationary state has been applied and, for the total balance of enzyme, all the intermediate complexes of the two reactions, which are present simultaneously in the reaction medium, have been taken into account. To check the kinetic equations obtained, the synthesis of bis(2-ethylhexyl) azelate by transesterification from diethyl azelate and 2-ethylhexanol, in the presence of the immobilized lipase Novozym@ 435, has been used as reaction model. The reaction has been carried out in solvent-free conditions in a batch reactor. A design model of the reactor has also been developed and solved by applying a numerical method. The model equations have been implemented in user’s software in Visual Basic for Applications. In that software a routine, based on a very well-known procedure to minimize the sum of the square errors, has also been implemented. By using this software, the model parameters have been determined by fitting the experimental data to the model. A high determination coefficient was obtained, which validated both the kinetic equations and the reactor’s design model.

中文翻译：

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开发两个酶促乒乓反应的速率方程：在双（2-乙基己基）壬二酸酯的生物合成中的应用

摘要 在这项工作中，首次建立了两个同时发生的双底物乒乓串联反应的速率方程。为了获得这些方程，已经应用了对稳态的近似，并且对于酶的总平衡，已经考虑了同时存在于反应介质中的两个反应的所有中间复合物。为了检查获得的动力学方程，在固定化脂肪酶 Novozym@435 存在下，通过壬二酸二乙酯和 2-乙基己醇的酯交换合成双（2-乙基己基）壬二酸酯已被用作反应模型。该反应在间歇式反应器中在无溶剂条件下进行。反应堆的设计模型也已通过应用数值方法开发和求解。模型方程已在 Visual Basic for Applications 的用户软件中实现。在该软件中，还实现了基于众所周知的最小化平方误差总和的程序的例程。通过使用该软件，通过将实验数据与模型拟合来确定模型参数。获得了高决定系数，这验证了动力学方程和反应器的设计模型。