Nonlinear DNA dynamics: Nonlinearity versus dispersion
Апстракт
In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient P and a coefficient of nonlinearity Q, existing in nonlinear Schrodinger equation, are mutually dependent and show how function Q(P) and P(Q) can be obtained. Also, we show how all this can be used to find a possible interval for the parameter describing helicoidal structure of DNA. (C) 2013 Elsevier Inc. All rights reserved.
Кључне речи:
Nonlinear Schrodinger equation / Nonlinearity / Dispersion / DNA dynamics / Helicoidal Peyrard-Bishop modelИзвор:
Applied Mathematics and Computation, 2013, 225, 401-406Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-45010)
- Утицај елементарних ексцитација и конформација на физичка својства нових материјала базираних на јако корелисаним нискодимензионалним системима (RS-171009)
DOI: 10.1016/j.amc.2013.09.064
ISSN: 0096-3003; 1873-5649
WoS: 000327765600036
Scopus: 2-s2.0-84887095224
Колекције
Институција/група
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Satarić, Miljko V. PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5775 AB - In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient P and a coefficient of nonlinearity Q, existing in nonlinear Schrodinger equation, are mutually dependent and show how function Q(P) and P(Q) can be obtained. Also, we show how all this can be used to find a possible interval for the parameter describing helicoidal structure of DNA. (C) 2013 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - Nonlinear DNA dynamics: Nonlinearity versus dispersion VL - 225 SP - 401 EP - 406 DO - 10.1016/j.amc.2013.09.064 ER -
@article{ author = "Zdravković, Slobodan and Satarić, Miljko V.", year = "2013", abstract = "In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient P and a coefficient of nonlinearity Q, existing in nonlinear Schrodinger equation, are mutually dependent and show how function Q(P) and P(Q) can be obtained. Also, we show how all this can be used to find a possible interval for the parameter describing helicoidal structure of DNA. (C) 2013 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "Nonlinear DNA dynamics: Nonlinearity versus dispersion", volume = "225", pages = "401-406", doi = "10.1016/j.amc.2013.09.064" }
Zdravković, S.,& Satarić, M. V.. (2013). Nonlinear DNA dynamics: Nonlinearity versus dispersion. in Applied Mathematics and Computation, 225, 401-406. https://doi.org/10.1016/j.amc.2013.09.064
Zdravković S, Satarić MV. Nonlinear DNA dynamics: Nonlinearity versus dispersion. in Applied Mathematics and Computation. 2013;225:401-406. doi:10.1016/j.amc.2013.09.064 .
Zdravković, Slobodan, Satarić, Miljko V., "Nonlinear DNA dynamics: Nonlinearity versus dispersion" in Applied Mathematics and Computation, 225 (2013):401-406, https://doi.org/10.1016/j.amc.2013.09.064 . .