The paper concerns mathematical modeling and simulation of a continuous-flow stirred tank bioreactor (CSTBR) in which heterogeneous biofilm forms on its walls. The mathematical model couples a 2D cellular-automata biofilm model with differential equations describing the liquid phase in the bioreactor. Double-substrate aerobic phenol biodegradation by Pseudomonas putida bacteria was chosen as a process example. The influence of key process parameters on the dynamical characteristics of the bioreactor and the biofilm structure evolution during the process was investigated. Such an analysis has not been previously performed. It was shown that cell death strongly affects both biofilm heterogeneity and the technological properties of the bioreactor. Neglecting this phenomenon leads to improper design of the bioreactor. The influence of substrate load on the heterogeneity of the biofilm was evaluated in the process limited by two substrates. So far only a single substrate limitation has been evaluated in this regard. Even for large carbonaceous substrate concentrations, the biofilm growth and its structure are influenced by oxygen depletion. It was shown that an increased detachment rate increases bioreactor productivity.

本文涉及连续流动搅拌釜生物反应器（CSTBR）的数学建模和仿真，该反应器在其壁上形成异质生物膜。数学模型将二维细胞自动机生物膜模型与描述生物反应器中液相的微分方程相结合。恶臭假单胞菌对双底物好氧酚的生物降解选择细菌作为过程实例。研究了关键工艺参数对生物反应器动力学特性和过程中生物膜结构演变的影响。之前尚未进行过这样的分析。结果表明，细胞死亡强烈影响生物膜异质性和生物反应器的技术特性。忽略这种现象会导致生物反应器的设计不当。在受两个底物限制的过程中，评估了底物负载对生物膜异质性的影响。到目前为止，在这方面仅评估了单个基板限制。即使对于较大的碳质底物浓度，生物膜的生长及其结构也会受到氧耗竭的影响。