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Zbl 1054.62138
Shakiban, Cheri; Lloyd, Peter
Signature curves statistics of DNA supercoils.
(English)
[A] Mladenov, Iva\"ilo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences. 203-210 (2004). ISBN 954-84952-8-7/pbk

Summary: 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.
MSC 2000:
*62P10 Appl. of statistics to biology
62-09 Graphical methods in statistics
92C40 Biochemistry, etc.

Keywords: regression plots

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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