Soliton-like base pair opening in a helicoidal DNA: An analogy with helimagnet and cholesterics

Abstract

We propose a model for DNA dynamics by introducing the helical structure through twist deformation in analogy with the structure of helimagnet and cholesteric liquid crystal system. The dynamics in this case is found to be governed by the completely integrable sine-Gordon equation which admits kink-antikink solitons with increased width representing a wide base pair opening configuration in DNA. The results show that the helicity introduces a length scale variation and thus provides a better representation of the base pair opening in DNA.

arXiv comment4. Accepted for Publication in Phys. Rev. E

References in corpus (8)

• Helicoidal model for DNA opening
• On the nonlinear dynamics of topological solitons in DNA
• Thermal denaturation of an helicoidal DNA model
• Perturbed soliton excitations in DNA molecular chain
• Bubble propagation in a helicoidal molecular chain
• A composite model for DNA torsion dynamics
• Solitons in the Yakushevich model of DNA beyond the contact approximation
• Solitons in Yakushevich-like models of DNA dynamics with improved intrapair potential

Cited by in corpus (4)

• Base pair opening and bubble transport in a DNA double helix induced by a protein molecule in a viscous medium
• Theoretical and Experimental Investigations of DNA Open States
• Kink solitons in DNA
• Dynamics of kink-soliton solutions for $2+1$-dimensional sine-Gordon equation