Biofilms are colonies of bacteria attached to surfaces. They play a critical role in many engineering and medical applications. Scientists study biofilm growth in flow cells but often have limited direct knowledge of the environmental conditions in the apparatus. Using fully resolved, numerical simulations to estimate conditions within a flow cell is computationally expensive. In this paper, we use asymptotic analysis to create a simulation of a biofilm system that has one growth-limiting substrate, and we show that this method runs quickly while maintaining similar accuracy to prior models. These equations can provide a better understanding of the environmental conditions in experiments and can establish the boundary conditions for further smaller-scale numerical simulations.

中文翻译：

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流动池内生物膜生长的降维模型

生物膜是附着在表面的细菌菌落。它们在许多工程和医疗应用中发挥着关键作用。科学家们研究流动池中的生物膜生长，但通常对设备中的环境条件的直接了解有限。使用完全解析的数值模拟来估计流通池内的条件在计算上是昂贵的。在本文中，我们使用渐近分析来创建具有一个生长限制底物的生物膜系统的模拟，并且我们表明该方法运行迅速，同时保持与先前模型相似的精度。这些方程可以更好地理解实验中的环境条件，并可以为更小规模的数值模拟建立边界条件。