Internally generated nonlinear waves in filament bundles

A. Ludu and N. Hutchings

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 2, 179-189

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: Filament; Flagellum; Nonlinear waves; Soliton; Deformations (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:2:p:179-189

DOI: 10.1016/j.matcom.2006.10.007

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