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Helical filaments with varying cross section radius

2003/10/21 by Alexandre F. Fonseca, Alexandre F. da Fonseca, da Fonseca, Alexandre F. +2
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Biological Physics (physics.bio-ph) #Classical Physics (physics.class-ph) #FOS: Physical sciences #Microtubule and mitosis dynamics #Structural Analysis and Optimization #physics.bio-ph #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/0310102

10 pages and 5 figures

arxiv created 2003/10/21 · openalex publication_date 2003/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The tridimensional configuration and the twist density of helical rods with varying cross section radius are studied within the framework of the Kirchhoff rod model. It is shown that the twist density increases when the cross section radius decreases. Some tridimensional configurations of helix-like rods are displayed showing the effects of the nonhomogeneity considered here. Since the helix-like solutions of the nonhomogeneous rods do not present constant curvature and torsion a set of differential equations for these quantities is presented. We discuss the results and possible consequences.

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