Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation

The Chaos Game is an algorithm that can allow one to produce pictures of fractal structures. Considering that the four bases A, G, C, and T of DNA sequences can be divided into three classes according to their chemical structure, we propose different kinds of CGR-walk sequences. Based on CGR coordin...

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Main Authors: Wei Deng, Yihui Luan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/926519
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author Wei Deng
Yihui Luan
author_facet Wei Deng
Yihui Luan
author_sort Wei Deng
collection DOAJ
description The Chaos Game is an algorithm that can allow one to produce pictures of fractal structures. Considering that the four bases A, G, C, and T of DNA sequences can be divided into three classes according to their chemical structure, we propose different kinds of CGR-walk sequences. Based on CGR coordinates of random sequences, we introduce some invariants for the DNA primary sequences. As an application, we can make the examination of similarity/dissimilarity among the first exon of β-globin gene of different species. The results indicate that our method is efficient and can get more biological information.
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publishDate 2013-01-01
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spelling doaj-art-e7a200b3b22a49b789d19e6f5df2802b2025-08-20T02:21:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/926519926519Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game RepresentationWei Deng0Yihui Luan1School of Mathematics, Shandong University, Jinan 250100, ChinaSchool of Mathematics, Shandong University, Jinan 250100, ChinaThe Chaos Game is an algorithm that can allow one to produce pictures of fractal structures. Considering that the four bases A, G, C, and T of DNA sequences can be divided into three classes according to their chemical structure, we propose different kinds of CGR-walk sequences. Based on CGR coordinates of random sequences, we introduce some invariants for the DNA primary sequences. As an application, we can make the examination of similarity/dissimilarity among the first exon of β-globin gene of different species. The results indicate that our method is efficient and can get more biological information.http://dx.doi.org/10.1155/2013/926519
spellingShingle Wei Deng
Yihui Luan
Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
Abstract and Applied Analysis
title Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
title_full Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
title_fullStr Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
title_full_unstemmed Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
title_short Analysis of Similarity/Dissimilarity of DNA Sequences Based on Chaos Game Representation
title_sort analysis of similarity dissimilarity of dna sequences based on chaos game representation
url http://dx.doi.org/10.1155/2013/926519
work_keys_str_mv AT weideng analysisofsimilaritydissimilarityofdnasequencesbasedonchaosgamerepresentation
AT yihuiluan analysisofsimilaritydissimilarityofdnasequencesbasedonchaosgamerepresentation