We formulate a biofilm reactor model with suspended bacteria that accounts for thermodynamic growth inhibition. The reactor model is a chemostat style model consisting of a single replenished growth promoting substrate, a single reaction product, suspended bacteria, and wall attached bacteria in the form of a bacterial biofilm. We present stability conditions for the washout equilibrium using standard techniques, demonstrating that analytical results are attainable even with the added complexity from thermodynamic inhibition. Furthermore, we numerically investigate the longterm behaviour. In the computational study, we investigate model behaviour for select parameters and two commonly used detachment functions. We investigate the effects of thermodynamic inhibition on the model and find that thermodynamic inhibition limits substrate utilization/production both inside the biofilm and inside the aqueous phase, resulting in less suspended bacteria and a thinner biofilm.

中文翻译：

---

悬浮细菌生物膜反应器中的热力学抑制

我们用悬浮细菌制定了一个生物膜反应器模型，该模型解释了热力学生长抑制。反应器模型是一种恒化器式模型，由单一补充的生长促进底物、单一反应产物、悬浮细菌和细菌生物膜形式的壁附着细菌组成。我们使用标准技术提出了冲洗平衡的稳定性条件，证明即使热力学抑制增加了复杂性，也可以获得分析结果。此外，我们对长期行为进行了数值研究。在计算研究中，我们研究了选择参数和两个常用分离函数的模型行为。