Analyses on deformation of helical flagella of Salmonella

Yasunari Takano; Seishi Kudo; Megumi Nishitoba; Yukio Magariyama

doi:10.1299/jsmec.48.513

Analyses on deformation of helical flagella of Salmonella

Yasunari Takano, Seishi Kudo, Megumi Nishitoba, Yukio Magariyama

ENG - Applied Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In the present investigation, we constructed formulation to analyze the deformation of flagellar filament combining the evolution equations for space curves with the Kirchhoff rod model as well as the detailed structure of the filament of Salmonella. In the analytical results of the present study, experimental results of the large elongation of close-coiled filament (Hoshikawa and Kamiya, 1985) and the small deformation of normal filament rotating in water (Kudo et al.) are reproduced. Comparing the results of deformation of flagellar filament between the analyses and the experiments, the torsional and the flexural rigidity of the flagellar filament are estimated to be GJ = 4.6 pNμm² and EI = 6.1 pNμm².

Original language	English
Pages (from-to)	513-520
Number of pages	8
Journal	JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
Volume	48
Issue number	4
DOIs	https://doi.org/10.1299/jsmec.48.513
Publication status	Published - 2006 Jun 15

Keywords

Flagellar deformation
Flagellar hydrodynamics
Kirchhoff rod model
Polymorphic flagellar form
Resistive-force theory
Salmonella

ASJC Scopus subject areas

Mechanical Engineering
Industrial and Manufacturing Engineering

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title = "Analyses on deformation of helical flagella of Salmonella",

abstract = "In the present investigation, we constructed formulation to analyze the deformation of flagellar filament combining the evolution equations for space curves with the Kirchhoff rod model as well as the detailed structure of the filament of Salmonella. In the analytical results of the present study, experimental results of the large elongation of close-coiled filament (Hoshikawa and Kamiya, 1985) and the small deformation of normal filament rotating in water (Kudo et al.) are reproduced. Comparing the results of deformation of flagellar filament between the analyses and the experiments, the torsional and the flexural rigidity of the flagellar filament are estimated to be GJ = 4.6 pNμm2 and EI = 6.1 pNμm2.",

keywords = "Flagellar deformation, Flagellar hydrodynamics, Kirchhoff rod model, Polymorphic flagellar form, Resistive-force theory, Salmonella",

author = "Yasunari Takano and Seishi Kudo and Megumi Nishitoba and Yukio Magariyama",

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T1 - Analyses on deformation of helical flagella of Salmonella

AU - Takano, Yasunari

AU - Kudo, Seishi

AU - Nishitoba, Megumi

AU - Magariyama, Yukio

PY - 2006/6/15

Y1 - 2006/6/15

N2 - In the present investigation, we constructed formulation to analyze the deformation of flagellar filament combining the evolution equations for space curves with the Kirchhoff rod model as well as the detailed structure of the filament of Salmonella. In the analytical results of the present study, experimental results of the large elongation of close-coiled filament (Hoshikawa and Kamiya, 1985) and the small deformation of normal filament rotating in water (Kudo et al.) are reproduced. Comparing the results of deformation of flagellar filament between the analyses and the experiments, the torsional and the flexural rigidity of the flagellar filament are estimated to be GJ = 4.6 pNμm2 and EI = 6.1 pNμm2.

AB - In the present investigation, we constructed formulation to analyze the deformation of flagellar filament combining the evolution equations for space curves with the Kirchhoff rod model as well as the detailed structure of the filament of Salmonella. In the analytical results of the present study, experimental results of the large elongation of close-coiled filament (Hoshikawa and Kamiya, 1985) and the small deformation of normal filament rotating in water (Kudo et al.) are reproduced. Comparing the results of deformation of flagellar filament between the analyses and the experiments, the torsional and the flexural rigidity of the flagellar filament are estimated to be GJ = 4.6 pNμm2 and EI = 6.1 pNμm2.

KW - Flagellar deformation

KW - Flagellar hydrodynamics

KW - Kirchhoff rod model

KW - Polymorphic flagellar form

KW - Resistive-force theory

KW - Salmonella

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