Nonlinear DNA dynamics: Nonlinearity versus dispersion

Zdravković, Slobodan; Satarić, Miljko V.

doi:10.1016/j.amc.2013.09.064

Само за регистроване кориснике

2013

Аутори

Zdravković, Slobodan

Satarić, Miljko V.

Чланак у часопису (Објављена верзија)

Метаподаци

Приказ свих података о документу

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 model

Извор:
Applied Mathematics and Computation, 2013, 225, 401-406

Финансирање / пројекти:

Фотоника микро и нано структурних материјала (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
Утицај елементарних ексцитација и конформација на физичка својства нових материјала базираних на јако корелисаним нискодимензионалним системима (RS-MESTD-Basic Research (BR or ON)-171009)

DOI: 10.1016/j.amc.2013.09.064

ISSN: 0096-3003; 1873-5649

WoS: 000327765600036

Scopus: 2-s2.0-84887095224

[ Google Scholar ]


	1
	1

TY  - 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 . .