Finger formation in biofilm layers
Finger formation in biofilm layers
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DOI：
10.1137/s0036139900371709
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发表时间：
2002-02-21
影响因子：
1.9
通讯作者：
Klapper, I
中科院分区：
文献类型：
--
作者：
Dockery, J;Klapper, I
一个简单的单一基质限制模型的生物膜层的增长。分析了一维移动波前解。在一定条件下，这些解决方案是线性不稳定的指进不稳定性。的生物膜的生长速率和长度尺度的标度律。的指进不稳定性的非线性演化的数值跟踪使用水平集方法，导致观察到的蘑菇状结构。
A simple single substrate limiting model of a growing biofilm layer is presented. One-dimensional moving front solutions are analyzed. Under certain conditions these solutions are shown to be linearly unstable to fingering instabilities. Scaling laws for the biofilm growth rate and length scale are derived. The nonlinear evolution of the fingering instabilities is tracked numerically using a level set method, leading to the observation of mushroom-like structures.