Modulated waves in the DNA double helix with finite stacking enthalpy interaction

Journal article

Authors/Editors

Tabi, Condrad

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: Modulated waves in the DNA double helix with finite stacking enthalpy interaction

Publisher: American Scientific Publishers

Publication year: 2009

Volume number: 3

Issue number: 2

Start page: 110

End page: 117

Number of pages: 8

ISSN: 1557-7910

eISSN: 1557-7929

Languages: English-United States (EN-US)

View on publisher site

Abstract

We report on properties of modulational instability and the generation of soliton-like excitations in DNA nucleotides. Taking the finite stacking enthalpy model of DNA dynamics as an example, we show that the original difference-differential equation for the DNA dynamics can be reduced to a modified discrete nonlinear Schrödinger equation. We derive the modulational instability criterion in this case. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wavenumbers fall in the instability domain. The impact of the finite stacking energy is investigated and we show that low values of the finite stacking enthalpy contribute to highly enhance the amplitude of localized excitations and the density of energy as well.

Keywords

DNA DYNAMICS; ENERGY LOCALIZATION; LOCALIZED STRUCTURES; MODULATIONAL INSTABILITY

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