Nonlinear charge transport in the helicoidal DNA molecule
Journal article
Authors / Editors
Research Areas
No matching items found.
Publication Details
Author list: Koko AD, Tabi CB, Fouda HPE, Mohamadou A, Kofane TC
Publisher: American Institute of Physics
Place: MELVILLE
Publication year: 2012
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science (1054-1500)
Journal acronym: CHAOS
Volume number: 22
Issue number: 4
Number of pages: 8
ISSN: 1054-1500
eISSN: 1089-7682
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
Charge transport in the twist-opening model of DNA is explored via the modulational instability of a plane wave. The dynamics of charge is shown to be governed, in the adiabatic approximation, by a modified discrete nonlinear Schrodinger equation with next-nearest neighbor interactions. The linear stability analysis is performed on the latter and manifestations of the modulational instability are discussed according to the value of the parameter alpha, which measures hopping interaction correction. In so doing, increasing alpha leads to a reduction of the instability domain and, therefore, increases our chances of choosing appropriate values of parameters that could give rise to pattern formation in the twist-opening model. Our analytical predictions are verified numerically, where the generic equations for the radial and torsional dynamics are directly integrated. The impact of charge migration on the above degrees of freedom is discussed for different values of alpha. Soliton-like and localized structures are observed and thus confirm our analytical predictions. We also find that polaronic structures, as known in DNA charge transport, are generated through modulational instability, and hence reinforces the robustness of polaron in the model we study. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4766594]
Keywords
No matching items found.
Documents
No matching items found.
