A minimal model of DNA dynamics in interaction with RNA-polymerase

DOI10.1016/J.PHYSD.2011.08.005zbMath1227.92021OpenAlexW1971602727MaRDI QIDQ652403

Gianne Derks, Giuseppe Gaeta

Publication date: 14 December 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/105828/2/DNA_RNAP.pdf

zbMATH Keywords

solitary wavesDNA/RNAP interactionGordon-type equationsperturbed sine

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40)

Related Items (8)

Parametric resonance in a mesoscopic discrete DNA model ⋮ Parametric resonance in DNA ⋮ A new Evans function for quasi-periodic solutions of the linearised sine-Gordon equation ⋮ Dynamic of DNA's possible impact on its damage ⋮ Existence of stationary fronts in a system of two coupled wave equations with spatial inhomogeneity ⋮ Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries ⋮ Stability of fronts in inhomogeneous wave equations ⋮ Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph

Cites Work

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• Systematic perturbation theory for sine - Gordon solitons without use of inverse scattering methods
• Nonlinear dynamics and statistical physics of DNA
• Pinned fluxons in a Josephson junction with a finite-length inhomogeneity
• Soliton Propagation in Homogeneous and Inhomogeneous Models for DNA Torsion Dynamics

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