IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v369y2006i2p688-698.html
   My bibliography  Save this article

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

Author

Listed:
  • Tai, Yuan-Yen
  • Li, Ping-Cheng
  • Tseng, Hsen-Che

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.

Suggested Citation

  • Tai, Yuan-Yen & Li, Ping-Cheng & Tseng, Hsen-Che, 2006. "A two-dimensional modified Lévy-walk model for the DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 688-698.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:688-698
    DOI: 10.1016/j.physa.2006.02.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710600224X
    Download Restriction: 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
    File URL: https://libkey.io/10.1016/j.physa.2006.02.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:688-698. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.