Microbial electrolysis cell (MEC) is a promising reactor. However, currently, the reactor cannot be adapted for industrial-scale biohydrogen production. Nevertheless, this drawback can be overcome by modeling studies based on mathematical equations. The limitation of analytical instrumentation to record the non-linearity of the dynamic behavior for biohydrogen processes in an MEC has led to the introduction of computational approach that has the potential to reduce time constraints and optimize experimental costs. Reviews of comparative studies on bioelectrochemical models are widely reported, but there is less emphasis on the MEC model. Therefore, in this paper, a comprehensive review of the MEC mathematical model will be further discussed. The classification of the model with respect to the assumptions, model improvement, and extensive studies based on the model application will be critically analyzed to establish a methodology algorithm flow chart as a guideline for future implementation.

微生物电解槽（MEC）是一种很有前景的反应器。然而，目前，该反应器无法适应工业规模的生物制氢。然而，这个缺点可以通过基于数学方程的建模研究来克服。分析仪器在 MEC 中记录生物氢过程动态行为的非线性的局限性导致引入了有可能减少时间限制和优化实验成本的计算方法。对生物电化学模型的比较研究的评论被广泛报道，但对 MEC 模型的重视较少。因此，在本文中，将进一步讨论对 MEC 数学模型的全面回顾。模型在假设、模型改进方面的分类，