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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)
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 New window
COBISS.SI-ID:67393795 New window
ISSN on article:2073-4360
DOI:10.3390/polym13121985 New window
Publication date in RUNG:17.06.2021
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Record is a part of a journal

Shortened title:Polymers
Publisher:Molecular Diversity Preservation International
COBISS.SI-ID:517951257 New window

Document is financed by a project

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:J1-1705; P2-0412