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Modulational Instability in DNA Model with Competing Short- and Long-Range Dispersive Interactions

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We study the modulational instability (MI) in the Peyrard-Bishop (PB) model of DNA dynamics, with short-range interaction, due to the stacking of base pairs, and long-range interaction, due to the finite dipole moment of the bonds within each base pair. Within the framework of the linear stability analysis, a critical value of the long-range coupling constant is found and, it is shown that, below this critical value, the system displays as the Klein-Gordon chain while, above the critical value, one can appreciate the influence of the dipole–dipole interactions. The study is supported by numerical analysis which confirms analytical predictions. Energy localization via MI is also investigated.
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Keywords: DIPOLE-DIPOLE INTERACTIONS; DNA DYNAMICS; ENERGY LOCALIZATION; MI

Document Type: Research Article

Publication date: December 1, 2008

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  • Bionanoscience attempts to harness various functions of biological macromolecules and integrate them with engineering for technological applications. It is based on a bottom-up approach and encompasses structural biology, biomacromolecular engineering, material science, and engineering, extending the horizon of material science. The journal aims at publication of (i) Letters (ii) Reviews (3) Concepts (4) Rapid communications (5) Research papers (6) Book reviews (7) Conference announcements in the interface between chemistry, physics, biology, material science, and technology. The use of biological macromolecules as sensors, biomaterials, information storage devices, biomolecular arrays, molecular machines is significantly increasing. The traditional disciplines of chemistry, physics, and biology are overlapping and coalescing with nanoscale science and technology. Currently research in this area is scattered in different journals and this journal seeks to bring them under a single umbrella to ensure highest quality peer-reviewed research for rapid dissemination in areas that are in the forefront of science and technology which is witnessing phenomenal and accelerated growth.
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