49 citations · 158 across the 5 of their papers we have counts for
5 papers
Base pair opening and bubble transport in a DNA double helix induced by a protein molecule in a viscous medium
V. Vasumathi, M. Daniel
We study the nonlinear dynamics of a protein-DNA molecular system by treating DNA as a set of two coupled linear chains and protein in the form of a single linear chain sliding alo…
Soliton-like base pair opening in a helicoidal DNA: An analogy with helimagnet and cholesterics
M. Daniel, V. Vasumathi
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…
Perturbed soliton-like molecular excitations in a deformed DNA chain
V. Vasumathi, M. Daniel
We study the nonlinear dynamics of a deformed Deoxyribonucleic acid (DNA) molecular chain which is governed by a perturbed sine-Gordon equation coupled with a linear wave equation…
Nonlinear molecular excitations in a completely inhomogeneous DNA chain
M. Daniel, V. Vasumathi
We study the nonlinear dynamics of a completely inhomogeneous DNA chain which is governed by a perturbed sine-Gordon equation. A multiple scale perturbation analysis provides pertu…
Perturbed soliton excitations in DNA molecular chain
M. Daniel, V. Vasumathi
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 t…