Violation of the single-parameter scaling hypothesis in human chromosome 22 with charge transfer models.
We investigate transport properties of DNA sequences in human chromosome 22 and compare the results with those of a random artificial DNA sequence based on the single- and double-stranded charge transfer models. The statistical quantities, including the Hurst exponent, the distribution of Lyapunov exponent (LE), the central moments, and the scaling parameter, are numerically calculated by using the transfer-matrix approach. It is found that the existence of satellite DNA segments in human chromosome 22 could result in deviations from usual Gaussian distribution of LE. Our results suggest that the presence of the satellite DNA segments, together with the long-range correlations and the base-pairing correlations could lead to the violation of single-parameter scaling hypothesis which holds for the random artificial DNA sequence although the behaviors of the averaged LEs for both DNA sequences are similar. This provides a viewpoint to analyze differences between the genomic DNA sequences and the nonliving random ones on the basis of localization properties of wave functions in the sequences.
Guo
Ai-Min
AM
Department of Physics and National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China.
Xiong
Shi-Jie
SJ
D000465:Algorithms; D001483:Base Sequence; D002892:Chromosomes, Human, Pair 22; D004247:DNA / Q000737:chemistry*; D004276:DNA, Satellite; D004277:DNA, Single-Stranded / Q000737:chemistry*; D006801:Humans; D008957:Models, Genetic; D016011:Normal Distribution
D004276:DNA, Satellite; D004277:DNA, Single-Stranded; D004247:DNA