Perturbed soliton excitations in DNA molecular chain

Abstract

We study nonlinear dynamics of a periodic inhomogeneous DNA double helical chain under dynamic plane-base rotator model by considering angular rotation of bases in a plane normal to the helical axis. The dynamics is governed by a perturbed sine-Gordon equation. The perturbed soliton solution is obtained using a multiple scale soliton perturbation theory. The perturbed kink-antikink solitons represent formation of open state configuration with fluctuation in DNA.

20 Pages, 5 figures

References in corpus (4)

• On the nonlinear dynamics of topological solitons in DNA
• Structurally specific thermal fluctuations identify functional sites for DNA transcription
• Bubble propagation in a helicoidal molecular chain
• Moving breathers in a bent DNA-related model

Cited by in corpus (6)

• Dynamics of DNA breathing in the Peyrard-Bishop model with damping and external force
• Base pair opening and bubble transport in a DNA double helix induced by a protein molecule in a viscous medium
• Soliton-like base pair opening in a helicoidal DNA: An analogy with helimagnet and cholesterics
• Nonlinear molecular excitations in a completely inhomogeneous DNA chain
• Perturbed soliton-like molecular excitations in a deformed DNA chain
• Kink solitons in DNA