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System size dependence in the Zimm-Bragg model : partition function limits, transition temperature and interval
Artem Badasyan, 2021, original scientific article

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
Published in RUNG: 17.06.2021; Views: 2434; Downloads: 83
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Statistical mechanics of DNA-nanotube adsorption
Sh. A. Tonoyan, Davit Khechoyan, Yevgeni S. Mamasakhlisov, Artem Badasyan, 2019, other component parts

Abstract: Attraction between the polycyclic aromatic surface elements of carbon nanotubes (CNT) and the aromatic nucleotides of deoxyribonucleic acid (DNA) leads to reversible adsorption (physisorption) between the two, a phenomenon related to hybridization. We propose a Hamiltonian formulation for the zipper model that accounts for the DNA-CNT interactions and allows for the processing of experimental data, which has awaited an available theory for a decade.
Keywords: DNA-CNT physisorption, zipper model
Published in RUNG: 28.01.2020; Views: 3197; Downloads: 0
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DNA-CNT Physisorption
Artem Badasyan, invited lecture at foreign university

Keywords: DNA, CNT, zipper model, physisorption
Published in RUNG: 28.01.2020; Views: 2703; Downloads: 0
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