Internally Generated Nonlinear Waves in Filament Bundles

A. Ludu; N. Hutchings

doi:10.1016/j.matcom.2006.10.007

Internally Generated Nonlinear Waves in Filament Bundles

A. Ludu, N. Hutchings

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

Abstract

We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The resulting equations for sliding, expressed in terms of the curvature and torsion of filaments, provide conditions for existence of nonlinear internally driven waves along the filament bundle.

Original language	American English
Journal	Mathematics and Computers in Simulations
Volume	74
DOIs	https://doi.org/10.1016/j.matcom.2006.10.007
State	Published - Mar 7 2007
Externally published	Yes

Keywords

Axonemal cell
filaments
motile cells
T. Brucei
Trypanosomus Africanus
anti-soliton

Disciplines

Biological and Chemical Physics
Biophysics
Molecular Biology
Non-linear Dynamics
Other Biochemistry, Biophysics, and Structural Biology
Partial Differential Equations

Access to Document

10.1016/j.matcom.2006.10.007License: Unspecified

Cite this

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title = "Internally Generated Nonlinear Waves in Filament Bundles",

abstract = " We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The resulting equations for sliding, expressed in terms of the curvature and torsion of filaments, provide conditions for existence of nonlinear internally driven waves along the filament bundle.",

keywords = "Axonemal cell, filaments, motile cells, T. Brucei, Trypanosomus Africanus, anti-soliton",

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AU - Hutchings, N.

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N2 - We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The resulting equations for sliding, expressed in terms of the curvature and torsion of filaments, provide conditions for existence of nonlinear internally driven waves along the filament bundle.

AB - We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The resulting equations for sliding, expressed in terms of the curvature and torsion of filaments, provide conditions for existence of nonlinear internally driven waves along the filament bundle.

KW - Axonemal cell

KW - filaments

KW - motile cells

KW - T. Brucei

KW - Trypanosomus Africanus

KW - anti-soliton

U2 - 10.1016/j.matcom.2006.10.007

DO - 10.1016/j.matcom.2006.10.007

M3 - Article

VL - 74

JO - Mathematics and Computers in Simulations

JF - Mathematics and Computers in Simulations

ER -