Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:127

Article

Giacomin, Giambattista¹  Khatib, Maha¹ 

[1] Univ Paris Diderot, Sorbonne Paris Cite, UMR 7599, Lab Probabilites & Modeles Aleatoires, F-75205 Paris, France

关键词: DNA denaturation;    Polymer pinning model;    Two-dimensional renewal processes;    Critical behavior;    Sharp and large deviation estimates;    Path properties;   

DOI  :  10.1016/j.spa.2016.06.017

来源: Elsevier

【 摘 要 】

The Poland Scheraga model describes the denaturation transition of two complementary in particular, equally long strands of DNA, and it has enjoyed a remarkable success both for quantitative modeling purposes and at a more theoretical level. The solvable character of the homogeneous version of the model is one of features to which its success is due. In the bio-physical literature a generalization of the model, allowing different length and non complementarity of the strands, has been considered and the solvable character extends to this substantial generalization. We present a mathematical analysis of the homogeneous generalized Poland Scheraga model. Our approach is based on the fact that such a model is a homogeneous pinning model based on a bivariate renewal process, much like the basic Poland Scheraga model is a pinning model based on a univariate, i.e. standard, renewal. We present a complete analysis of the free energy singularities, which include the localization delocalization critical point and (in general) other critical points that have been only partially captured in the physical literature. We obtain also precise estimates on the path properties of the model. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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