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Matematicheskaya Biologiya i Bioinformatika, 2020, Volume 15, Issue 2, Pages 129–137
DOI: https://doi.org/10.17537/2020.15.129
(Mi mbb427)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

DNA model with non-local inter-site interaction in collisional thermostat

A. S. Shigaev, I. V. Likhachev, V. D. Lakhno

Institute of Mathematical Problems of Biology RAS, Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Pushchino, Russia
Full-text PDF (606 kB) Citations (1)
References:
Abstract: A modified Peyrard–Bishop–Dauxios model with non-local nature of the inter-site potential was studied in a collisional thermostat with a Maxwell velocity distribution of short-lived virtual particles at a temperature of 310 K. Introduction of non-locality to the inter-site potential was found to reduce significantly the equilibrium constants for the denaturation bubble formation reaction. This property improves the agreement of calculated data with experiments. The effect is especially pronounced for large bubbles. The end effects in the new version of the model are investigated. The significant contribution of entropy and the important role of the processes of transfer and localization of mechanical energy at the end sections of DNA are shown.
Key words: DNA, Peyrard–Bishop–Dauxois model, collisional thermostat, denaturation bubble, end effects, nucleation.
Funding agency Grant number
Russian Science Foundation 16-11-10163
Russian Foundation for Basic Research 19-07-00406-«а»
Received 18.06.2020, 17.07.2020, Published 26.07.2020
Document Type: Article
Language: Russian
Citation: A. S. Shigaev, I. V. Likhachev, V. D. Lakhno, “DNA model with non-local inter-site interaction in collisional thermostat”, Mat. Biolog. Bioinform., 15:2 (2020), 129–137
Citation in format AMSBIB
\Bibitem{ShiLikLak20}
\by A.~S.~Shigaev, I.~V.~Likhachev, V.~D.~Lakhno
\paper DNA model with non-local inter-site interaction in collisional thermostat
\jour Mat. Biolog. Bioinform.
\yr 2020
\vol 15
\issue 2
\pages 129--137
\mathnet{http://mi.mathnet.ru/mbb427}
\crossref{https://doi.org/10.17537/2020.15.129}
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  • https://www.mathnet.ru/eng/mbb/v15/i2/p129
  • This publication is cited in the following 1 articles:
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