Luna E, Domínguez-Zacarias G, Ferreira C Pio, Velasco-Hernandez J X
Instituto Mexicano del Petróleo, D.F. 07730, Mexico.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Dec;70(6 Pt 1):061909. doi: 10.1103/PhysRevE.70.061909. Epub 2004 Dec 20.
Under the hypothesis of correlation between biofilm survival and nutrient availability, by considering fluid drag forces and mortality due to nutrient depletion, a biofilm detachment/breaking condition is derived. The mechanisms leading to biofilm detachment/breaking are discussed. We construct and describe a hybrid model for a heterogeneous biofilm attached to walls in a channel where liquid is flowing. The model is called hybrid because it couples conservation equations with a cellular automaton. The biofilm layer is viewed as a porous medium with variable porosity, tortuosity, and permeability. The model is solved using asymptotic and finite differences methods. Results for porosity, nutrient distribution, and average surface location are presented. The model is capable of reproducing biofilm heterogeneity as well as the typical surface fingering (mushroomlike structure).
在生物膜存活与养分可用性之间存在关联的假设下,通过考虑流体曳力和因养分耗尽导致的死亡率,推导得出了生物膜脱离/破裂条件。讨论了导致生物膜脱离/破裂的机制。我们构建并描述了一个用于附着在流动液体通道壁上的异质生物膜的混合模型。该模型之所以称为混合模型,是因为它将守恒方程与细胞自动机相结合。生物膜层被视为具有可变孔隙率、曲折度和渗透率的多孔介质。使用渐近法和有限差分法求解该模型。给出了孔隙率、养分分布和平均表面位置的结果。该模型能够再现生物膜的异质性以及典型的表面指进(蘑菇状结构)。