Equilibrium configurations of the noncircular cross-section elastic rod model with the elliptic KB method
type: Item
instance of: scholarly article
title: Equilibrium configurations of the noncircular cross-section elastic rod model with the elliptic KB method
zbMATH Open document ID: 1394.74092
DOI: 10.1155/2015/351362
author: Yongzhao Wang
author: Wei Wang
author: Q. C. Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The mechanical deformation of DNA is very important in many biological processes. In this paper, we consider the reduced Kirchhoff equations of the noncircular cross-section elastic rod characterized by the inequality of the bending rigidities. One family of exact solutions is obtained in terms of rational expressions for classical Jacobi elliptic functions. The present solutions allow the investigation of the dynamical behavior of the system in response to changes in physical parameters that concern asymmetry. The effects of the factor on the DNA conformation are discussed. A qualitative analysis is also conducted to provide valuable insight into the topological configuration of DNA segments.
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 6926123
Wikidata QID: Q59118123
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/351362
OpenAlex ID: W2001140899
cites work: SOME NOTES ON LOW-DIMENSIONAL ELASTIC THEORIES OF BIO- AND NANO-STRUCTURES
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description: scientific article; zbMATH DE number 6926123