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Title: System size dependence in the Zimm-Bragg model : partition function limits, transition temperature and interval Authors: ID Badasyan, Artem (Author) Files: https://www.mdpi.com/2073-4360/13/12/1985   Language: English Work type: Unknown Typology: 1.01 - Original Scientific Article Organization: UNG - University of Nova Gorica Abstract: Within the recently developed Hamiltonian formulation of the Zimm and Bragg model we re-evaluate several size dependent approximations of model partition function. Our size analysis is based on the comparison of chain length N with the maximal correlation (persistence) length ξ of helical conformation. For the first time we re-derive the partition function of zipper model by taking the limits of the Zimm–Bragg eigenvalues. The critical consideration of applicability boundaries for the single-sequence (zipper) and the long chain approximations has shown a gap in description for the range of experimentally relevant chain lengths of 5–10 persistence lengths ξ. Correction to the helicity degree expression is reported. For the exact partition function we have additionally found, that: at N/ξ ≈ 10 the transition temperature T m reaches its asymptotic behavior of infinite N; the transition interval ∆T needs about a thousand persistence lengths to saturate at its asymptotic, infinite length value. Obtained results not only contribute to the development of the Zimm–Bragg model, but are also relevant for a wide range of Biotechnologies, including the Biosensing applications. Keywords: Zimm-Bragg model, helix-coil transition, zipper model Year of publishing: 2021 Number of pages: str. 1-11 Numbering: Vol. 13, iss. 12 PID: 20.500.12556/RUNG-6595  COBISS.SI-ID: 67393795  UDC: 53 ISSN on article: 2073-4360 DOI: 10.3390/polym13121985  NUK URN: URN:SI:UNG:REP:CLG5R7QB Publication date in RUNG: 17.06.2021 Views: 2091 Downloads: 78 Metadata:     Cite this work Plain text BibTeX EndNote XML EndNote/Refer RIS ABNT ACM Ref AMA APA Chicago 17th Author-Date Harvard IEEE ISO 690 MLA Vancouver : Copy citation

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Record is a part of a journal

Title:	Polymers
Shortened title:	Polymers
Publisher:	Molecular Diversity Preservation International
ISSN:	2073-4360
COBISS.SI-ID:	517951257

Document is financed by a project

Funder:	ARRS - Slovenian Research Agency
Project number:	J1-1705; P2-0412

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