Dept. Mathematics and Statistics, University of Guelph, Guelph, ON, Canada N1G 2W1.
Math Biosci. 2011 Sep;233(1):1-18. doi: 10.1016/j.mbs.2011.05.006. Epub 2011 Jun 6.
Bacterial biofilms are complex microbial depositions on immersed interfaces that form wherever the environmental conditions sustain microbial growth. Despite their name, biofilms can develop in highly irregular structures. Recently several mathematical concepts have been introduced to model these spatially structured microbial populations. Regardless of the type of model, they all have, even for microbially relatively simple systems, many parameters which generally are known at most approximately. We investigate the effect of uncertainties in model parameters on four morphological and four ecological output parameters using a nonlinear diffusion model for a biofilm in which two species compete for a shared nutrient. To this end we conduct an extensive computer simulation experiment for two different levels of data uncertainty, three different hydrodynamic conditions, and two different scenarios of bulk substrate availability. Our results indicate that input model parameter uncertainties have a much larger effect on ecological than on morphological output parameters.
细菌生物膜是在浸没界面上形成的复杂微生物沉积物,只要环境条件能够维持微生物的生长,就会在任何地方形成。尽管它们被称为生物膜,但它们可以在非常不规则的结构中形成。最近,已经引入了几个数学概念来对这些空间结构的微生物种群进行建模。无论模型的类型如何,即使对于微生物相对简单的系统,它们通常也有许多参数,这些参数最多只能大致确定。我们使用一种用于生物膜的非线性扩散模型,研究了模型参数不确定性对四个形态学和四个生态学输出参数的影响,在该模型中,两种物种为共享营养物质而竞争。为此,我们针对两种不同的数据不确定性水平、三种不同的水动力条件和两种不同的基质整体可用性场景,进行了广泛的计算机模拟实验。我们的结果表明,输入模型参数的不确定性对生态输出参数的影响比对形态学输出参数的影响大得多。