A two-dimensional modified Lévy-walk model for the DNA sequences

Yuan-Yen Tai, Ping-Cheng Li and Hsen-Che Tseng

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 688-698

Abstract: A two-dimensional modified Lévy-walk model for the DNA sequences with only three parameters is proposed. This model is applied to simulate real DNA sequence data of the Saccharomyces cerevisiae genome. DNA sequences are converted into one- and two-dimensional random walk mappings for statistical study. Satisfactory statistical results are obtained when 16 chromosomes in the genome are all analyzed and compared to the model sequence data. Measurements on the root-mean-square deviations are in good agreement when real sequences and model sequences are compared. Lévy type statistics plays a major role in generating “long-range correlation” phenomena. Power values α=0.64–0.68 are obtained for the power law F(l)∼lα where F(l) is the root-mean-square deviation at step size l. The same model is applied to sequences of some other species. Fair agreement is also obtained.

Keywords: DNA sequences; DNA-walk; Lévy statistics; Long-range correlation; Patchiness; Mapping; Saccharomyces cerevisiae genome (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843710600224X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:688-698

DOI: 10.1016/j.physa.2006.02.013

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().