Charge transport in DNA model with vibrational and rotational coupling motions.
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It is shown that the original differential-difference equation for the DNA dynamics can be reduced in the continuum approximation to a set of three coupled nonlinear equations and the validity of the analytical approach with the generation of wave packets is shown.Abstract:
The dynamics of the Peyrard-Bishop model for vibrational motion of DNA dynamics, which has been extended by taking into account the rotational motion for the nucleotides (Silva et al., J. Biol. Phys. 34, 511-519, 2018) is studied. We report on the presence of the modulational instability (MI) of a plane wave for charge migration in DNA and the generation of soliton-like excitations in DNA nucleotides. We show that the original differential-difference equation for the DNA dynamics can be reduced in the continuum approximation to a set of three coupled nonlinear equations. The linear stability analysis of continuous wave solutions of the coupled systems is performed and the growth rate of instability is found numerically. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave numbers fall in the instability domain.read more
Citations
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Charge transport in a DNA model with solvent interaction
TL;DR: It is shown that the localized structures in the modified DNA model can be disappeared with the highest value of solvent factor and thereafter the information within the molecule is not perceptible or not transmitted to another sites.
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Delocalized charge through the DNA with microscopic effect
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T. Brooke Benjamin,J. E. Feir +1 more
TL;DR: In this paper, a theoretical analysis of the stability of periodic wave trains to small disturbances in the form of a pair of side-band modes is presented, where the wave train becomes highly irregular far from its origin, even when the departures from periodicity are scarcely detectable at the start.
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Statistical mechanics of a nonlinear model for DNA denaturation
Michel Peyrard,A. R. Bishop +1 more
TL;DR: The statistical mechanics of a simple lattice model for the denaturation of the DNA double helix are investigated and it is shown that amechanism involving an energy localization analogous to self-focusing mayinitiate the Denaturation.
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Observation of modulational instability in optical fibers.
TL;DR: The first observation of the modulational instability of light waves in dielectric material using a neodymium-doped yttrium aluminum garnet laser operated at 1.319 \ensuremath{\mu}m and single-mode optical fibers with anomalous group-velocity dispersion is reported.