ArticleThe European physical journal. E, Soft matter2012
Motor-driven bacterial flagella and buckling instabilities.
Article in The European physical journal. E, Soft matter, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Run-and-tumble dynamics ofJournal of the Royal Society, Interface · 2025Article
- Stokesian dynamics simulations of a magnetotactic bacterium.The European physical journal. E, Soft matter · 2021Article
- Hydrodynamics and direction change of tumbling bacteria.PloS one · 2021Article
- Thrust and Hydrodynamic Efficiency of the Bundled Flagella.Micromachines · 2019Article
- Microswimmer Propulsion by Two Steadily Rotating Helical Flagella.Micromachines · 2019Article
- Spatial arrangement of several flagellins within bacterial flagella improves motility in different environments.Nature communications · 2018Article
- Dynamics of a Protein Chain Motor Driving Helical Bacteria under Stress.Biophysical journal · 2018Article
- Bacteria exploit a polymorphic instability of the flagellar filament to escape from traps.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Flagella bending affects macroscopic properties of bacterial suspensions.Journal of the Royal Society, Interface · 2017Article
- Buckling Instabilities and Complex Trajectories in a Simple Model of Uniflagellar Bacteria.Biophysical journal · 2017Article
- Torque-induced precession of bacterial flagella.Scientific reports · 2015Article
- Flexibility of bacterial flagella in external shear results in complex swimming trajectories.Journal of the Royal Society, Interface · 2015Article
- Propulsion of microorganisms by a helical flagellum.Proceedings of the National Academy of Sciences of the United States of America · 2013Article
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Authors and funding
2 authors.
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Abstract
Many types of bacteria swim by rotating a bundle of helical filaments also called flagella. Each filament is driven by a rotary motor and a very flexible hook transmits the motor torque to the filament. We model it by discretizing Kirchhoff's elastic-rod theory and develop a coarse-grained approach for driving the helical filament by a motor torque. A rotating flagellum generates a thrust force, which pushes the cell body forward and which increases with the motor torque. We fix the rotating flagellum in space and show that it buckles under the thrust force at a critical motor torque. Buckling becomes visible as a supercritical Hopf bifurcation in the thrust force. A second buckling transition occurs at an even higher motor torque. We attach the flagellum to a spherical cell body and also observe the first buckling transition during locomotion. By changing the size of the cell body, we vary the necessary thrust force and thereby obtain a characteristic relation between the critical thrust force and motor torque. We present a elaborate analytical model for the buckling transition based on a helical rod which quantitatively reproduces the critical force-torque relation. Real values for motor torque, cell body size, and the geometry of the helical filament suggest that buckling should occur in single bacterial flagella. We also find that the orientation of pulling flagella along the driving torque is not stable and comment on the biological relevance for marine bacteria.
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