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Analysis of the multidimensional effects in biofilms

机译：生物膜的多维效应分析

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摘要

A general multidimensional, multispecies, heterogenous biofilm model is developed using the balance equations. Multidimensional effects are studied by taking limiting scenarios towards lower dimensional analogs, as well as studying the effects of changing biofilm surface geometries. Error maps are developed suggesting when single-dimensional models give an accurate representation of biofilm growth, and when multidimensional effects are substantial. A porous media model is studied, where the bacteria Pseudomo-nas aeruginosa is modeled to grow in a packed porous bed of spheres. It is found that under most circumstances, single-dimensional models predict very similar growth rates as compared to their multidimensional analogs. However, under some conditions the multidimensionality can have a significant effect in the model's predictions. To the authors' best knowledge, this is the first work which develops error maps detailing multidimensional effects of biofilm growth.
机译：使用平衡方程建立了通用的多维，多物种，异质生物膜模型。通过将局限场景应用于低维类似物，以及研究生物膜表面几何形状变化的影响，来研究多维效果。误差图被开发出来，提示一维模型何时可以准确地表示生物膜的生长，以及多维效果如何。研究了多孔介质模型，其中细菌铜绿假单胞菌被建模为在球状的填充多孔床上生长。发现在大多数情况下，与多维类似物相比，一维模型预测的增长率非常相似。但是，在某些情况下，多维性可能会对模型的预测产生重大影响。就作者所知，这是开发误差图的第一项工作，该误差图详细描述了生物膜生长的多维效应。

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