In this work, the Homotopy Perturbation method is used for the first time to solve an irreversible linear pathway with enzyme kinetics. The enzymatic system has Michaelis–Menten kinetics and is modeled by a system of nonlinear ordinary differential equations. The analytical solution obtained with the method allow us to optimize several objectives: minimal time to reach a certain percent of final product, minimal amount of enzymes employed in the process, or even multiple objective optimization via Pareto front. We present an example to demonstrate the results.

中文翻译：

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酶促反应中的不可逆线性路径：使用同伦微扰法的解析解

在这项工作中，首次使用同伦微扰方法来解决具有酶动力学的不可逆线性途径。酶促系统具有 Michaelis-Menten 动力学，并由非线性常微分方程系统建模。使用该方法获得的分析解决方案使我们能够优化多个目标：达到最终产品特定百分比的最短时间、过程中使用的酶量最少，甚至通过帕累托前沿进行多目标优化。我们提供了一个示例来演示结果。