Stewart P S
Center for Interfacial Microbial Process Engineering, College of Engineering Montana State University, Bozeman, Montana 59717, USA.
Biotechnol Bioeng. 1993 Jan 5;41(1):111-7. doi: 10.1002/bit.260410115.
A general mathematical framework for modeling biofilm detachment is presented. The approach is founded on a material balance on biomass that equates the detachment rate to the product of a detachment frequency and a detaching particle mass. The model provides a theoretical basis for deriving many of the empirical detachment rate expressions in common use and can thus lend some insight into their physical and biological significance. By allowing for variation in the detachment frequency with depth in the biofilm, the model permits derivation of detachment expressions that reflect a dependence on chemical or physiological gradients in the biofilm. Analysis of literature data sets from two different biofilm systems suggests, in both cases, that detachment is a growth-associated phenomenon.
提出了一种用于生物膜脱离建模的通用数学框架。该方法基于生物量的物质平衡，将脱离速率等同于脱离频率与脱离颗粒质量的乘积。该模型为推导许多常用的经验脱离速率表达式提供了理论基础，从而有助于深入了解它们的物理和生物学意义。通过考虑生物膜中脱离频率随深度的变化，该模型允许推导反映对生物膜中化学或生理梯度依赖性的脱离表达式。对来自两个不同生物膜系统的文献数据集的分析表明，在这两种情况下，脱离都是一种与生长相关的现象。
