Fractional nonlinear dynamics of DNA breathing

DOI10.1016/j.cnsns.2016.12.031OpenAlexW2566644481MaRDI QIDQ2005450

Alain Mvogo, Germain H. Ben-Bolie, Timoléon Créprin Kofané

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.12.031

zbMATH Keywords

fractional derivativesPeyrard-Bishop modelfractional breather modesfractional perturbation technique

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Mechanics of particles and systems (70-XX)

Related Items (5)

Demodulated standing solitary wave and DNA-RNA transcription ⋮ On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem ⋮ Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule ⋮ Haar wavelet method for approximating the solution of a coupled system of fractional-order integral-differential equations ⋮ Base pairs opening and bubble transport in damped DNA dynamics with transport memory effects

Uses Software

• Matlab
• ma2dfc
• Fractional Order Chaotic Systems

Cites Work

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• Localized numerical impulse solutions in diffuse neural networks modeled by the complex fractional Ginzburg-Landau equation
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• Fractional formalism to DNA chain and impact of the fractional order on breather dynamics
• Nonlinear dynamics and statistical physics of DNA
• Fractional Variational Principle in Macroscopic Picture
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• Helicoidal Peyrard–Bishop Model of DNA Dynamics*

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