Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
Метаподаци
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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. © 2019 Author(s).
Извор:
Chaos, 2019, 29, 5, 053118-Финансирање / пројекти:
- JINR, Dubna, Russian Federation
- Фотоника микро и нано структурних материјала (RS-45010)
- Russian Science Foundation [17-11-01157]
DOI: 10.1063/1.5090962
ISSN: 1054-1500; 1089-7682
PubMed: 31154797
WoS: 000473600200023
Scopus: 2-s2.0-85065972819
Колекције
Институција/група
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Čevizović, Dalibor AU - Bugay, Aleksandr N. AU - Maluckov, Aleksandra PY - 2019 UR - http://aip.scitation.org/doi/10.1063/1.5090962 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8207 AB - 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. © 2019 Author(s). T2 - Chaos T1 - Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule VL - 29 IS - 5 SP - 053118 DO - 10.1063/1.5090962 ER -
@article{ author = "Zdravković, Slobodan and Čevizović, Dalibor and Bugay, Aleksandr N. and Maluckov, Aleksandra", year = "2019", abstract = "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. © 2019 Author(s).", journal = "Chaos", title = "Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule", volume = "29", number = "5", pages = "053118", doi = "10.1063/1.5090962" }
Zdravković, S., Čevizović, D., Bugay, A. N.,& Maluckov, A.. (2019). Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule. in Chaos, 29(5), 053118. https://doi.org/10.1063/1.5090962
Zdravković S, Čevizović D, Bugay AN, Maluckov A. Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule. in Chaos. 2019;29(5):053118. doi:10.1063/1.5090962 .
Zdravković, Slobodan, Čevizović, Dalibor, Bugay, Aleksandr N., Maluckov, Aleksandra, "Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule" in Chaos, 29, no. 5 (2019):053118, https://doi.org/10.1063/1.5090962 . .