Department of Mathematics, Florida State University, Tallahassee, Florida.
Department of Mathematics, Florida State University, Tallahassee, Florida.
Biophys J. 2018 Oct 2;115(7):1393-1400. doi: 10.1016/j.bpj.2018.08.016. Epub 2018 Aug 21.
Biofilms are collections of microorganisms that aggregate using a self-produced matrix of extracellular polymeric substance. It has been broadly demonstrated that many microbial infections in the body, including dental plaque, involve biofilms. While studying experimental models of biofilms relevant to mechanical removal of oral biofilms, distinct ripple patterns have been observed. In this work, we describe a multiphase model used to approximate the dynamics of the biofilm removal process. We show that the fully nonlinear model provides a better representation of the experimental data than the linear stability analysis. In particular, we show that the full model more accurately reflects the relationship between the apparent wavelength and the external forcing velocities, especially at mid-to-low velocities at which the linear theory neglects important interactions. Finally, the model provides a framework by which the removal process (presumably governed by highly nonlinear behavior) can be studied.
生物膜是微生物聚集在一起形成的,它们使用自身产生的细胞外聚合物基质来聚集。已经广泛证明,体内许多微生物感染,包括牙菌斑,都涉及生物膜。在研究与机械去除口腔生物膜相关的实验模型时,观察到了明显的波纹模式。在这项工作中,我们描述了一个多相模型,用于近似生物膜去除过程的动力学。我们表明,全非线性模型比线性稳定性分析提供了对实验数据更好的表示。特别是,我们表明,全模型更准确地反映了表观波长与外部驱动力之间的关系,尤其是在线性理论忽略了重要相互作用的中低速度下。最后,该模型提供了一个框架,可以通过该框架研究去除过程(可能由高度非线性行为控制)。