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Journal of Theoretical Biology
Volume 226, Issue 3, 7 February 2004, Pages 341-348
 
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doi:10.1016/j.jtbi.2003.09.009    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier Ltd. All rights reserved.

Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses

Zu-Guo YuCorresponding Author Contact Information, E-mail The Corresponding Author, E-mail The Corresponding Author, a, b, Vo Anha and Ka-Sing Lauc

a Program in Statistics and Operations Research, Queensland University of Technology, G.P.O. Box 2434, Brisbane QLD 4001, Australia b Department of Mathematics, Xiangtan University, Hunan 411105, China c Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong, China

Received 28 April 2003; 
accepted 16 September 2003. ;
Available online 26 November 2003.

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Abstract

Similar to the chaos game representation (CGR) of DNA sequences proposed by Jeffrey (Nucleic Acid Res. 18 (1990) 2163), a new CGR of protein sequences based on the detailed HP model is proposed. Multifractal and correlation analyses of the measures based on the CGR of protein sequences from complete genomes are performed. The Dq spectra of all organisms studied are multifractal-like and sufficiently smooth for the Cq curves to be meaningful. The Cq curves of bacteria resemble a classical phase transition at a critical point. The correlation distance of the difference between the measure based on the CGR of protein sequences and its fractal background is also proposed to construct a more precise phylogenetic tree of bacteria.

Author Keywords: Chaos game representation of protein sequences; Multifractal analysis; Correlation analysis; Phylogenetic tree

Article Outline

1. Introduction
2. Chaos game representation of protein sequences based on the detailed HP model
3. Multifractal analysis and correlation analysis
4. Data and results
5. Discussion and conclusions
Acknowledgements
References







Journal of Theoretical Biology
Volume 226, Issue 3, 7 February 2004, Pages 341-348
 
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