Finger formation in biofilm layers

被引：181

作者：

Dockery, J ^{[1
]}

Klapper, I ^{[1
]}

机构：

[1] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2002年 / 62卷 / 03期

关键词：

biofilms; fronts; fingering instability;

D O I：

10.1137/S0036139900371709

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：853 / 869

页数：17

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