scholarly journals The analytical reduction of the Kirchhoff thin elastic rod model with asymmetric cross section

2012 ◽  
Vol 61 (6) ◽  
pp. 064602
Author(s):  
Wang Wei ◽  
Zhang Qi-Chang ◽  
Jin Gang
Keyword(s):  
Cross Section ◽  
Elastic Rod ◽  
Rod Model ◽  
Elastic Rod Model ◽  
Thin Elastic Rod

scholarly journals Equilibrium Configurations of the Noncircular Cross-Section Elastic Rod Model with the Elliptic KB Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Yongzhao Wang ◽  
Qichang Zhang ◽  
Wei Wang
Keyword(s):  
Cross Section ◽  
Dynamical Behavior ◽  
Elliptic Functions ◽  
Physical Parameters ◽  
Valuable Insight ◽  
Elastic Rod ◽  
Noncircular Cross Section ◽  
Equilibrium Configurations ◽  
Rational Expressions ◽  
Elastic Rod Model

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.

scholarly journals Asymmetric elastic rod model for DNA

2009 ◽  
Vol 80 (1) ◽  
Author(s):  
B. Eslami-Mossallam ◽  
M. R. Ejtehadi
Keyword(s):  
Elastic Rod ◽  
Rod Model ◽  
Elastic Rod Model

Elastic Rod Model of a DNA Loop in theLacOperon

1999 ◽  
Vol 83 (23) ◽  
pp. 4900-4903 ◽  
Author(s):  
Alexander Balaeff ◽  
L. Mahadevan ◽  
Klaus Schulten
Keyword(s):  
Elastic Rod ◽  
Dna Loop ◽  
Rod Model ◽  
Elastic Rod Model

scholarly journals Elastic rod model of a supercoiled DNA molecule

2000 ◽  
Vol 2 (4) ◽  
pp. 377 ◽  
Author(s):  
C. Bouchiat ◽  
M. Mézard
Keyword(s):  
Elastic Rod ◽  
Supercoiled Dna ◽  
Dna Molecule ◽  
Rod Model ◽  
Elastic Rod Model
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