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DNA sequences classification and computation scheme based on the symmetry principle

Xiao-Gang Song¹ and Wen-Yuan Qiu²

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1. Chemistry Department, State Key Laboratory of Applied Organic Chemistry, Lanzhou University
2. Physical Chemistry, State Key Laboratory of Applied Organic Chemistry, Lanzhou University

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Date:

Received 21 April 2009 14:18 UTC; Posted 23 April 2009

Subjects:

Genetics & Genomics, Bioinformatics

Tags:

• DNA symmetry
• recursive

Abstract:

The DNA sequences containing multifarious novel symmetrical structure frequently play crucial role in how genomes work. Here we present a new scheme for understanding the structural features and potential mathematical rules of symmetrical DNA sequences using a method containing stepwise classification and recursive computation. By defining the symmetry of DNA sequences, we classify all sequences and conclude a series of recursive equations for computing the quantity of all classes of sequences existing theoretically; moreover, the symmetries of the typical sequences at different levels are analyzed. The classification and quantitative relation demonstrate that DNA sequences have recursive and nested properties. The scheme may help us better discuss the formation and the growth mechanism of DNA sequences because it has a capability of educing the information about structure and quantity of longer sequences according to that of shorter sequences by some recursive rules. Our scheme may provide a new stepping stone to the theoretical characterization, as well as structural analysis, of DNA sequences.

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This document is licensed to the public under the Creative Commons Attribution 3.0 License

How to cite this document:

Song, Xiao-Gang and Qiu, Wen-Yuan. DNA sequences classification and computation scheme based on the symmetry principle. Available from Nature Precedings <http://hdl.handle.net/10101/npre.2009.3116.1> (2009)

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