Proceedings of the International Conference on Geometry, Integrability and Quantization

Signature Curves Statistics of DNA Supercoils

Cheri Shakiban and Peter Lloyd

Abstract

In this paper we describe the Euclidean signature curves for two dimensional closed curves in the plane and their generalization to closed space curves. The focus will be on discrete numerical methods for approximating such curves. Further we will apply these numerical methods to plot the signature curves related to three-dimensional simulated DNA supercoils. Our primary focus will be on statistical analysis of the data generated for the signature curves of the supercoils. We will try to establish some relationships between the statistics and the shape of the signature curve. The hope is that these findings will provide a more efficient way for computers to search for and identify signature curves corresponding to similar DNA supercoils.

Article information

Source
Proceedings of the Fifth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Allen C. Hirshfeld, eds. (Sofia: Softex, 2004), 203-210

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434147928

Digital Object Identifier
doi:10.7546/giq-5-2004-203-210

Mathematical Reviews number (MathSciNet)
MR2082306

Zentralblatt MATH identifier
1054.62138

Citation

Shakiban, Cheri; Lloyd, Peter. Signature Curves Statistics of DNA Supercoils. Proceedings of the Fifth International Conference on Geometry, Integrability and Quantization, 203--210, Softex, Sofia, Bulgaria, 2004. doi:10.7546/giq-5-2004-203-210. https://projecteuclid.org/euclid.pgiq/1434147928


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