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Rescaled Range and Transition Matrix Analysis of DNA Sequences
Authors:YU ZuGuo  CHEN GuoYi
Institution:1. Department of Mathematics, Xiangtan University, Xiangtan 411105, Hunan Province, China; 2. Institute of Theoretical Physics, The Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China
Abstract:We treat some fractal and statistical features of the DNA sequences. First, a fractal record model of DNA sequence is proposed by mapping,DNA sequences to integer sequences, followed by the R/S analysis of the model and computation of the Hurst exponents. Second, we consider the transition between the four kinds of bases within DNA. The transition matrix analysis of DNA sequences shows that some measures of complexity based on transition proportion matrices are of interest.
Keywords:DNA sequence  functional region  R/S analysis  transition proportion matrix  measure of complexity  
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