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A study of bacterial flagellar bundling
Heather Flores1, Edgar Lobaton, Stefan Méndez-Diez
1Department of Mathematics, University of Nebraska, 203 Avery Hall, P.O. Box 880130, Lincoln, NE 68588, USA. hflores@math.unl.edu
Bulletin of Mathematical Biology
|February 5, 2005
Summary
Computational modeling reveals how bacterial flagella interact. Counterclockwise rotation causes bundling for swimming, while changes in rotation induce tumbling and separation, impacting bacterial motility.
Area of Science:
- Microbiology and Biophysics
- Computational Fluid Dynamics
Background:
- Bacteria like Escherichia coli (E. coli) and Salmonella typhimurium (S. typhimurium) utilize multiple flagella for locomotion.
- Flagella are left-handed helices rotated by basal motors, creating a corkscrew motion for swimming.
Purpose of the Study:
- To develop and utilize a computational model simulating bacterial flagellar motion and hydrodynamic interactions.
- To analyze the influence of flagellar rotation direction and hydrodynamic forces on bacterial swimming behavior.
Main Methods:
- Employed Stokes flow equations to model fluid dynamics.
- Represented flagellar elasticity using elastic springs and motors with base torques.
- Utilized regularized Stokeslets and rotlets to describe fluid velocities generated by forces and torques.
Main Results:
- Simulations showed that counterclockwise rotation of all flagella can lead to bundling due to hydrodynamic interactions.
- A change in rotation direction of at least one flagellar motor resulted in tumbling behavior, characterized by flagellar separation and altered orientation.
- Analysis provided insights into the fluid dynamics governing these bacterial motility patterns.
Conclusions:
- Hydrodynamic interactions between bacterial flagella are crucial for motility.
- The direction of flagellar rotation dictates whether bacteria swim or tumble, offering a mechanism for chemotaxis.
- The computational model effectively captures the complex interplay between flagellar dynamics and fluid mechanics.