Chemical Engineering Dept., Università degli Studi di Napoli Federico II, Piazzale V. Tecchio n. 80, Naples, Italy.
Biotechnol Prog. 2011 Nov-Dec;27(6):1599-613. doi: 10.1002/btpr.690. Epub 2011 Sep 28.
A mathematical model of an aerobic biofilm reactor is presented to investigate the bifurcational patterns and the dynamical behavior of the reactor as a function of different key operating parameters. Suspended cells and biofilm are assumed to grow according to double limiting kinetics with phenol inhibition (carbon source) and oxygen limitation. The model presented by Russo et al. is extended to embody key features of the phenomenology of the granular-supported biofilm: biofilm growth and detachment, gas-liquid oxygen transport, phenol, and oxygen uptake by both suspended and immobilized cells, and substrate diffusion into the biofilm. Steady-state conditions and stability, and local dynamic behavior have been characterized. The multiplicity of steady states and their stability depend on key operating parameter values (dilution rate, gas-liquid mass transfer coefficient, biofilm detachment rate, and inlet substrate concentration). Small changes in the operating conditions may be coupled with a drastic change of the steady-state scenario with transcritical and saddle-node bifurcations. The relevance of concentration profiles establishing within the biofilm is also addressed. When the oxygen level in the liquid phase is <10% of the saturation level, the biofilm undergoes oxygen starvation and the active biofilm fraction becomes independent of the dilution rate. © 2011 American Institute of Chemical Engineers Biotechnol. Prog., 2011.
提出了一个好氧生物膜反应器的数学模型，以研究反应器作为不同关键操作参数函数的分岔模式和动态行为。假设悬浮细胞和生物膜根据苯酚抑制（碳源）和氧气限制的双重限制动力学生长。Russo 等人提出的模型扩展为体现颗粒支撑生物膜现象学的关键特征：生物膜生长和脱落、气液氧气传输、苯酚和悬浮和固定细胞的氧气摄取以及底物向生物膜中的扩散。已经描述了稳态条件和稳定性以及局部动态行为。稳态的多重性及其稳定性取决于关键操作参数值（稀释率、气液传质系数、生物膜脱落率和入口底物浓度）。操作条件的微小变化可能与超越和鞍结分岔的稳态情况发生剧烈变化相关联。还解决了在生物膜内建立的浓度分布的相关性。当液相中的氧水平<饱和水平的 10%时，生物膜会经历缺氧，活性生物膜部分变得独立于稀释率。©2011 美国化学工程师协会生物技术进展，2011 年。
