Shape finding of an extremely twisted ring

Gáspár, Zsolt and Németh, Róbert Károly (2005) Shape finding of an extremely twisted ring. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 6 (1). pp. 39-52. ISSN 1586-2070

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Abstract

The Kirchhoff rod is a widely used model in describing configurations of DNA chains. In the simplest case of such research the molecule-chain is represented by a twisted-bent rod. In this paper we will present an application of this rod model for describing the shapes of the DNA chain in a special configuration. Here, two finite segments of the rod are in contact with each other. The contact region is closed on each end by terminal loops. These configurations can be represented by four parameters. The equilibrium path is computed in the four-dimensional space of the parameters using the path-following simplex method. The paper shows the system of equations applied during the path-following, equilibrium path from a generalized solution, and some numerical esults with different rod lengths. At last we show how our results should be connected to configurations of former research.

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