使用基于细菌位置的拉格朗日节点的浸入边界方法进行空间异质性生物膜模拟
Spatially Heterogeneous Biofilm Simulations using an Immersed Boundary Method with Lagrangian Nodes Defined by Bacterial Locations
AI总结:
本研究采用浸入边界方法,通过模拟生物膜与周围流体的密度和粘度差异以及可断裂弹簧连接的细菌,研究了表面附着细菌生物膜在流动系统中的响应,并利用几何多重网格法求解不可压缩Navier-Stokes方程,实现了二维和三维的模拟。
摘要:
在这项工作中,我们考虑了表面附着的细菌生物膜群落如何在流动系统中响应。我们使用浸入边界方法模拟流体-结构相互作用和分离过程。在这些模拟中,我们建模并模拟了生物膜与周围流体不同的密度和粘度值。模拟还包括连接生物膜中细菌的可断裂弹簧。这使得侵蚀和脱离能够被纳入模拟中。我们使用不可压缩Navier-Stokes (N-S) 方程来描述流动流体的运动。我们使用有限差分法离散流体方程,并使用几何多重网格法在每个时间步求解所得方程。由于生物膜与周围流体之间密度和粘度的巨大差异,使用多重网格法是必要的。我们在二维和三维中研究和模拟了该模型。 我们的方法在以下方面与先前使用IBM模拟生物膜/流动相互作用的方法不同:生物膜的密度和粘度可以与周围流体不同,并且拉格朗日节点位置对应于从生物膜中表皮葡萄球菌的3D图像实验测量的细菌细胞位置。
英文摘要:
In this work we consider how surface-adherent bacterial biofilm communities respond in flowing systems. We simulate the fluid-structure interaction and separation process using the immersed boundary method. In these simulations we model and simulate different density and viscosity values of the biofilm than that of the surrounding fluid. The simulation also includes breakable springs connecting the bacteria in the biofilm. This allows the inclusion of erosion and detachment into the simulation. We use the incompressible Navier-Stokes (N-S) equations to describe the motion of the flowing fluid. We discretize the fluid equations using finite differences and use a geometric multigrid method to solve the resulting equations at each time step. The use of multigrid is necessary because of the dramatically different densities and viscosities between the biofilm and the surrounding fluid. We investigate and simulate the model in both two and three dimensions. Our method differs from previous attempts of using IBM for modeling biofilm/flow interactions in the following ways: the density and viscosity of the biofilm can differ from the surrounding fluid, and the Lagrangian node locations correspond to experimentally measured bacterial cell locations from 3D images taken of Staphylococcus epidermidis in a biofilm.
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