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System size dependence in the Zimm-Bragg model : partition function limits, transition temperature and intervalArtem Badasyan, 2021, izvirni znanstveni članek
Opis: 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.
Ključne besede: Zimm-Bragg model, helix-coil transition, zipper model
Objavljeno v RUNG: 17.06.2021; Ogledov: 2809; Prenosov: 87
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