Nonlinear dynamics in a double-chain model of DNA

1991 ◽  
Vol 43 (13) ◽  
pp. 10743-10750 ◽  
Author(s):  
K. Forinash ◽  
A. R. Bishop ◽  
P. S. Lomdahl
Keyword(s):  
Nonlinear Dynamics ◽  
Chain Model ◽  
Double Chain

Painlevé approach and its applications to get new exact solutions of three biological models instead of its numerical solutions

2020 ◽  
Vol 34 (29) ◽  
pp. 2050270
Author(s):  
Ahmet Bekir ◽  
Emad H. M. Zahran
Keyword(s):  
Nonlinear Dynamics ◽  
Exact Solutions ◽  
Iteration Method ◽  
Numerical Solutions ◽  
Variational Iteration Method ◽  
Chain Model ◽  
Biological Models ◽  
Double Chain ◽  
New Model ◽  
New Exact Solutions

This paper focuses on realizing the exact solutions of three distinct important biological models using the Painlevé approach. These three models are the nonlinear dynamics of microtubules — a new model, the Kundu–Eckhaus model and the double chain model of DNA. Furthermore, the numerical solutions of these three equations have been achieved using the variational iteration method.

Nonlinear Dynamics in a New Double Chain-Model of DNA

2001 ◽  
Vol 36 (6) ◽  
pp. 737-742 ◽  
Author(s):  
Kong De-Xing ◽  
Lou Sen-Yue ◽  
Zeng Jin
Keyword(s):  
Nonlinear Dynamics ◽  
Chain Model ◽  
Double Chain

scholarly journals О декорировании зигзагообразных краев наноленты эпитаксиального графена

2019 ◽  
Vol 61 (3) ◽  
pp. 610
Author(s):  
С.Ю. Давыдов
Keyword(s):  
Density Of States ◽  
Tight Binding ◽  
Free State ◽  
Band Spectrum ◽  
Adsorption Complex ◽  
Chain Model ◽  
Double Chain ◽  
Occupation Numbers ◽  
A Chain ◽  
Analytical Expressions

AbstractA double-chain model of an epitaxial graphene nanoribbon, the zigzag edges of which are decorated with foreign adparticles, has been proposed. The substrate is assumed to be a metal. Analytical expressions for the Green’s functions of carbon adatoms and adparticles are obtained. The band spectrum for the free state is determined, and the approximation of the density of states is proposed. Analytical expressions for the occupation numbers in the mode of tight binding between the adsorption complex and the substrate are presented. A chain of carbon adatoms decorated with adparticles (epicarbyne) is considered.

scholarly journals Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Zheng-yong Ouyang ◽  
Shan Zheng
Keyword(s):  
Solitary Waves ◽  
Wave Speed ◽  
Traveling Wave Solutions ◽  
Travelling Wave ◽  
Elastic Membrane ◽  
Chain Model ◽  
Double Chain ◽  
Dynamical Equations ◽  
Nonlinear Dynamical ◽  
Wave Solutions

We consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic waves for the coupled nonlinear dynamical equations of DNA model are obtained and simulated numerically. For the same wave speed, bell-shaped solitary waves of different heights are found to coexist.

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