Junctional angle of a bihanded helix

Jing Yang, Charles William Wolgemuth, Greg Huber

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Helical filaments having sections of reversed chirality are common phenomena in the biological realm. The apparent angle between the two sections of opposite handedness provides information about the geometry and elasticity of the junctional region. In this paper, the governing differential equations for the local helical axis are developed, and asymptotic solutions of the governing equations are solved by perturbation theory. The asymptotic solutions are compared with the corresponding numerical solutions, and the relative error at second order is found to be less than 1.5% over a range of biologically relevant curvature and torsion values from 0 to 1/2 in dimensionless units.

Original languageEnglish (US)
Article number042722
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume90
Issue number4
DOIs
StatePublished - Oct 27 2014

Fingerprint

Helix
helices
Governing equation
Angle
handedness
Chirality
Asymptotics of Solutions
Asymptotic Solution
Filament
Relative Error
chirality
Dimensionless
Perturbation Theory
torsion
Torsion
Elasticity
filaments
differential equations
elastic properties
perturbation theory

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Junctional angle of a bihanded helix. / Yang, Jing; Wolgemuth, Charles William; Huber, Greg.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 90, No. 4, 042722, 27.10.2014.

Research output: Contribution to journalArticle

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