Elastic Axonemal Models: Solitary Wave Shapes

A. Ludu; C. Cibert

doi:10.1016/j.matcom.2009.06.002

Elastic Axonemal Models: Solitary Wave Shapes

A. Ludu, C. Cibert

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

Abstract

We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the axoneme, and compared them with experimental data. We make predictions about nonlinear shapes, including possible solitary waves in the curvature, which can explain certain swimming patterns of the cells.

Original language	American English
Journal	Mathematics and Computers in Simulation
Volume	80
DOIs	https://doi.org/10.1016/j.matcom.2009.06.002
State	Published - Sep 2009
Externally published	Yes

Keywords

Axonemal
flagellum
T. Brucei
Trypanosomus Africanus
flexural model
MKdV equation

Disciplines

Biophysics
Other Biochemistry, Biophysics, and Structural Biology

Access to Document

10.1016/j.matcom.2009.06.002License: Unspecified

Cite this

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title = "Elastic Axonemal Models: Solitary Wave Shapes",

abstract = " We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the axoneme, and compared them with experimental data. We make predictions about nonlinear shapes, including possible solitary waves in the curvature, which can explain certain swimming patterns of the cells.",

keywords = "Axonemal, flagellum, T. Brucei, Trypanosomus Africanus, flexural model, MKdV equation",

author = "A. Ludu and C. Cibert",

year = "2009",

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doi = "10.1016/j.matcom.2009.06.002",

language = "American English",

volume = "80",

journal = "Mathematics and Computers in Simulation",

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T1 - Elastic Axonemal Models: Solitary Wave Shapes

AU - Ludu, A.

AU - Cibert, C.

PY - 2009/9

Y1 - 2009/9

N2 - We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the axoneme, and compared them with experimental data. We make predictions about nonlinear shapes, including possible solitary waves in the curvature, which can explain certain swimming patterns of the cells.

AB - We introduce an elastic beam Bernoulli–Euler model for the axoneme (cytoskeletal inner core of eukaryotic cells appendages) whose dynamics is controlled by internally generated torques at the inflexion points of the beam. We calculate the geometrical and the mechanical parameters of the axoneme, and compared them with experimental data. We make predictions about nonlinear shapes, including possible solitary waves in the curvature, which can explain certain swimming patterns of the cells.

KW - Axonemal

KW - flagellum

KW - T. Brucei

KW - Trypanosomus Africanus

KW - flexural model

KW - MKdV equation

U2 - 10.1016/j.matcom.2009.06.002

DO - 10.1016/j.matcom.2009.06.002

M3 - Article

VL - 80

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -