Journal article
A 3D motile rod-shaped monotrichous bacterial model
Bulletin of mathematical biology, Vol.71(5), pp.1228-1263
07/2009
Handle:
https://hdl.handle.net/2376/114660
PMID: 19343455
Abstract
We introduce a 3D model for a motile rod-shaped bacterial cell with a single polar flagellum which is based on the configuration of a monotrichous type of bacteria such as Pseudomonas aeruginosa. The structure of the model bacterial cell consists of a cylindrical body together with the flagellar forces produced by the rotation of a helical flagellum. The rod-shaped cell body is composed of a set of immersed boundary points and elastic links. The helical flagellum is assumed to be rigid and modeled as a set of discrete points along the helical flagellum and flagellar hook. A set of flagellar forces are applied along this helical curve as the flagellum rotates. An additional set of torque balance forces are applied on the cell body to induce counter-rotation of the body and provide torque balance. The three-dimensional Navier-Stokes equations for incompressible fluid are used to describe the fluid dynamics of the coupled fluid-microorganism system using Peskin's immersed boundary method. A study of numerical convergence is presented along with simulations of a single swimming cell, the hydrodynamic interaction of two cells, and the interaction of a small cluster of cells.
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Details
- Title
- A 3D motile rod-shaped monotrichous bacterial model
- Creators
- Chia-Yu Hsu - Center for Computational Science, Department of Mathematics, Tulane University, New Orleans, LA 70118, USA. chsu1@tulane.eduRobert Dillon
- Publication Details
- Bulletin of mathematical biology, Vol.71(5), pp.1228-1263
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- United States
- Identifiers
- 99900547616101842
- Language
- English
- Resource Type
- Journal article