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  • Title: Multifractal analysis of thermal denaturation based on the Peyrard-Bishop-Dauxois model.
    Author: Behnia S, Akhshani A, Panahi M, Mobaraki A, Ghaderian M.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2011 Sep; 84(3 Pt 1):031918. PubMed ID: 22060414.
    Abstract:
    The theory of DNA dynamics is exceedingly complex and not easily explained. In the past two decades, by adapting methods of statistical physics, the dynamics of DNA in contact with a thermal bath is widely studied. In this paper, the thermal denaturation of DNA in the framework of the Peyrard-Bishop-Dauxois (PBD) model through the Rényi dimension is investigated. As a result, the Rényi dimension spectrum of the melting transition process reveals the multifractal nature of the dynamics of the Peyrard-Bishop-Dauxois model. Also, it can be concluded that the Rényi dimension (D(q)) at negative values of q is the characteristic signature of pre-melting and thermal denaturation of DNA. Furthermore, this approach is in excellent agreement with previous experimental studies.
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