Fractional unstable patterns of energy in alpha- helix proteins with long-range interactions

Journal article

Authors / Editors

Tabi, Condrad

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Publication Details

Author list: Tabi CB

Publisher: Elsevier

Place: OXFORD

Publication year: 2018

Journal: Chaos, Solitons and Fractals (0960-0779)

Journal acronym: CHAOS SOLITON FRACT

Volume number: 116

Start page: 386

End page: 391

Number of pages: 6

ISSN: 0960-0779

eISSN: 1873-2887

Languages: English-Great Britain (EN-GB)

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Abstract

Energy transport and storage in alpha- helix proteins, in the presence of long-range intermolecular interactions, is addressed. The modified discrete Davydov model is first reduced to a space-fractional nonlinear Schrodinger (NLS) equation, followed by the stability analysis of its plane wave solution. The phenomenon is also known as modulational instability and relies on the appropriate balance between nonlinearity and dispersion. The fractional-order parameter (sigma), related to the long-range coupling strength, is found to reduce the instability domain, especially in the case 1 <= sigma < 2. Beyond that interval, i.e., sigma > 2, the fractional NLS reduces to the classical cubic NLS equation, whose dispersion coefficient depends on s. Rogue waves solution for the later are proposed and the biological implications of the account of fractional effects are discussed in the context of energy transport and storage in alpha- helix proteins. (c) 2018 Elsevier Ltd. All rights reserved.

Keywords

alpha-helix, Energy, Fractional dispersion, solitons

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