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Volume 18, Issue Supplement 2, December 2011, Pages 463 - 484
Helicoidal Peyrard–Bishop Model of DNA Dynamics*
Authors
Slobodan Zdravković
Institut za Nukleame Nauke Vinča, Univerzitet u Beogradu, Poštanski fah 522, 11001 Beograd, Serbia,szdjidji@vinca.rs
*
Work supported by Serbian Ministry of Sciences under the programs 142034G and III 45010.
Received 31 October 2010, Accepted 2 February 2011, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001635How to use a DOI?
- Keywords
- Helicoidal Peyrard–Bishop model; solitons; DNA-RNA transcription; nonlinear Schrödinger equation; localised modulated wave; local opening of DNA; viscosity
- Abstract
A nonlinear model describing DNA dynamics, called helicoidal Peyrard–Bishop model, is described. It is shown that the model can explain a local opening of a DNA helix during transcription. An impact of friction forces is also studied. It is pointed out that a role of viscosity is crucial for DNA-RNA transcription.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Slobodan Zdravković PY - 2021 DA - 2021/01/07 TI - Helicoidal Peyrard–Bishop Model of DNA Dynamics* JO - Journal of Nonlinear Mathematical Physics SP - 463 EP - 484 VL - 18 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001635 DO - 10.1142/S1402925111001635 ID - Zdravković2021 ER -