Variety of scaling laws for DNA thermal denaturation

Yulian Honchar; Christian von Ferber; Yurij Holovatch

doi:10.1016/j.physa.2021.125917

Variety of scaling laws for DNA thermal denaturation

Yulian Honchar, Christian von Ferber, Yurij Holovatch

College of Engineering, Environment & Science

National Academy of Sciences of Ukraine

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider the Poland–Scheraga model and apply a polymer field theory approach to calculate entropic exponents associated with the denaturated loop distribution. We discuss in particular variants of this transition that may occur due to the properties of the solution and may affect the self- and mutual interaction of both single and double strands. We find that the effects studied significantly influence the strength of the first order transition. This is manifested in particular by the changes in the scaling laws that govern DNA loop and strand distribution. As a quantitative measure of these changes we present the values of corresponding scaling exponents. For the d=4−ε case we get corresponding ε⁴ expansions and evaluate the perturbation theory expansions at space dimension d=3 by means of resummation technique.

Original language	English
Article number	125917
Number of pages	7
Journal	Physica A: Statistical Mechanics and its Applications
Volume	573
Early online date	17 Mar 2021
DOIs	https://doi.org/10.1016/j.physa.2021.125917
Publication status	Published - 1 Jul 2021

Bibliographical note

Funding Information:
Details of our calculations together with analysis of the case will be a subject of a separate publication [33] . We acknowledge useful discussions with Maxym Dudka and Ralph Kenna. This work was supported in part by the National Academy of Sciences of Ukraine, project KPKBK 6541230.

Publisher Copyright:
© 2021 Elsevier B.V.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

DNA denaturation
Scaling exponents
ε-expansion

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2021.125917

Cite this

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title = "Variety of scaling laws for DNA thermal denaturation",

abstract = "We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider the Poland–Scheraga model and apply a polymer field theory approach to calculate entropic exponents associated with the denaturated loop distribution. We discuss in particular variants of this transition that may occur due to the properties of the solution and may affect the self- and mutual interaction of both single and double strands. We find that the effects studied significantly influence the strength of the first order transition. This is manifested in particular by the changes in the scaling laws that govern DNA loop and strand distribution. As a quantitative measure of these changes we present the values of corresponding scaling exponents. For the d=4−ε case we get corresponding ε4 expansions and evaluate the perturbation theory expansions at space dimension d=3 by means of resummation technique.",

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author = "Yulian Honchar and {von Ferber}, Christian and Yurij Holovatch",

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AU - von Ferber, Christian

AU - Holovatch, Yurij

N1 - Funding Information: Details of our calculations together with analysis of the case will be a subject of a separate publication [33] . We acknowledge useful discussions with Maxym Dudka and Ralph Kenna. This work was supported in part by the National Academy of Sciences of Ukraine, project KPKBK 6541230. Publisher Copyright: © 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/7/1

Y1 - 2021/7/1

N2 - We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider the Poland–Scheraga model and apply a polymer field theory approach to calculate entropic exponents associated with the denaturated loop distribution. We discuss in particular variants of this transition that may occur due to the properties of the solution and may affect the self- and mutual interaction of both single and double strands. We find that the effects studied significantly influence the strength of the first order transition. This is manifested in particular by the changes in the scaling laws that govern DNA loop and strand distribution. As a quantitative measure of these changes we present the values of corresponding scaling exponents. For the d=4−ε case we get corresponding ε4 expansions and evaluate the perturbation theory expansions at space dimension d=3 by means of resummation technique.

AB - We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider the Poland–Scheraga model and apply a polymer field theory approach to calculate entropic exponents associated with the denaturated loop distribution. We discuss in particular variants of this transition that may occur due to the properties of the solution and may affect the self- and mutual interaction of both single and double strands. We find that the effects studied significantly influence the strength of the first order transition. This is manifested in particular by the changes in the scaling laws that govern DNA loop and strand distribution. As a quantitative measure of these changes we present the values of corresponding scaling exponents. For the d=4−ε case we get corresponding ε4 expansions and evaluate the perturbation theory expansions at space dimension d=3 by means of resummation technique.

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Variety of scaling laws for DNA thermal denaturation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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