Abstract In this article, a mathematical microbial electrochemical cell (MEC) dynamic model is proposed. The model is derived from mass balances of a continuous flow MEC system which consists of two interconnected chambers. The system is described by a set of nonlinear ordinary differential equations (ODEs) that describes: (i) the competition of anodophilic and methanogenic microbial populations for a common substrate and; (ii) biomass growth and retention in the anodic compartment. Open loop behavior is evaluated via numerical simulations. The model is suitable both for process optimization and online control applications. Parametric sensitivity, stability, and convergence properties of the proposed model are also addressed in this article.

中文翻译：

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一个简单的微生物电化学电池模型和控制设计的动态分析

摘要 本文提出了一种数学微生物电化学电池（MEC）动力学模型。该模型源自连续流动 MEC 系统的质量平衡，该系统由两个相互连接的腔室组成。该系统由一组非线性常微分方程 (ODE) 描述，该方程描述：(i) 嗜阳极和产甲烷微生物种群对共同底物的竞争；(ii) 阳极室中的生物质生长和保留。开环行为通过数值模拟进行评估。该模型适用于过程优化和在线控制应用。本文还讨论了所提出模型的参数灵敏度、稳定性和收敛特性。