Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule
| Autor: | Aleksandra Maluckov, D. Chevizovich, Sloobodan Zdravkovic, Aleksandr N. Bugay |
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| Rok vydání: | 2019 |
| Předmět: |
Transcription
Genetic Breather General Physics and Astronomy 01 natural sciences Protein Structure Secondary 010305 fluids & plasmas Nonlinear dynamical systems 0103 physical sciences Traveling wave 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons Mathematical Physics Physics Quantitative Biology::Biomolecules Continuum (measurement) Applied Mathematics Numerical analysis Equations of motion Statistical and Nonlinear Physics Hydrogen Bonding DNA Wave equation Quantitative Biology::Genomics Nonlinear system Classical mechanics Nonlinear Dynamics Nucleic Acid Conformation |
| Zdroj: | Chaos |
| ISSN: | 1089-7682 |
| Popis: | We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard–Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA–RNA transcription.We study nonlinear dynamics of the DNA molecule relying on a helicoidal Peyrard–Bishop model. We look for traveling wave solutions and show that a continuum approximation brings about kink solitons moving along the chain. This statement is supported by the numerical solution of a relevant dynamical equation of motion. Finally, we argue that an existence of both kinks and localized modulated solitons (breathers) could be a useful tool to describe DNA–RNA transcription. |
| Databáze: | OpenAIRE |
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