Long-range energy modes in α-helix lattices with inter-spine coupling

S. E. Madiba, C. B. Tabi, H. P.F. Ekobena, T. C. Kofané

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A system for three-strand α-helix proteins, with long-range dispersive interactions among polypeptide units, is considered. The associate improved Davydov model is shown to be fully described by a set of modified coupled discrete nonlinear Schrödinger equations, which involve long-range interactions between peptide groups along the protein strands. By means of the modulational instability theory, the competition between nonlinearity and long-range intermolecular interactions are shown to modify the domain of instability of plane waves. The impact of the competition between nonlinearity and long-range interactions, on the process of energy transport and storage, is also addressed numerically. It is shown that nonlinearity and the long-range couplings conspire to the emergence of trains of solitonic structures, when parameters are well chosen within the domain of instability of plane waves. The relevance of the improved model as well as the biological implications of the account of long-range intermolecular interactions, are discussed in the contexts of energy transport and storage in hydrogen-bonded molecular structures in general, and in α-helix proteins in particular.

Original languageEnglish
Pages (from-to)298-310
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume514
DOIs
Publication statusPublished - Jan 15 2019
Externally publishedYes

Fingerprint

spine
Spine
Long-range Interactions
Helix
helices
Energy Transport
Energy Storage
Nonlinearity
Energy
Protein
Plane Wave
Range of data
nonlinearity
proteins
strands
interactions
Modulational Instability
plane waves
energy
Discrete Equations

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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title = "Long-range energy modes in α-helix lattices with inter-spine coupling",
abstract = "A system for three-strand α-helix proteins, with long-range dispersive interactions among polypeptide units, is considered. The associate improved Davydov model is shown to be fully described by a set of modified coupled discrete nonlinear Schr{\"o}dinger equations, which involve long-range interactions between peptide groups along the protein strands. By means of the modulational instability theory, the competition between nonlinearity and long-range intermolecular interactions are shown to modify the domain of instability of plane waves. The impact of the competition between nonlinearity and long-range interactions, on the process of energy transport and storage, is also addressed numerically. It is shown that nonlinearity and the long-range couplings conspire to the emergence of trains of solitonic structures, when parameters are well chosen within the domain of instability of plane waves. The relevance of the improved model as well as the biological implications of the account of long-range intermolecular interactions, are discussed in the contexts of energy transport and storage in hydrogen-bonded molecular structures in general, and in α-helix proteins in particular.",
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language = "English",
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Long-range energy modes in α-helix lattices with inter-spine coupling. / Madiba, S. E.; Tabi, C. B.; Ekobena, H. P.F.; Kofané, T. C.

In: Physica A: Statistical Mechanics and its Applications, Vol. 514, 15.01.2019, p. 298-310.

Research output: Contribution to journalArticle

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AU - Ekobena, H. P.F.

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N2 - A system for three-strand α-helix proteins, with long-range dispersive interactions among polypeptide units, is considered. The associate improved Davydov model is shown to be fully described by a set of modified coupled discrete nonlinear Schrödinger equations, which involve long-range interactions between peptide groups along the protein strands. By means of the modulational instability theory, the competition between nonlinearity and long-range intermolecular interactions are shown to modify the domain of instability of plane waves. The impact of the competition between nonlinearity and long-range interactions, on the process of energy transport and storage, is also addressed numerically. It is shown that nonlinearity and the long-range couplings conspire to the emergence of trains of solitonic structures, when parameters are well chosen within the domain of instability of plane waves. The relevance of the improved model as well as the biological implications of the account of long-range intermolecular interactions, are discussed in the contexts of energy transport and storage in hydrogen-bonded molecular structures in general, and in α-helix proteins in particular.

AB - A system for three-strand α-helix proteins, with long-range dispersive interactions among polypeptide units, is considered. The associate improved Davydov model is shown to be fully described by a set of modified coupled discrete nonlinear Schrödinger equations, which involve long-range interactions between peptide groups along the protein strands. By means of the modulational instability theory, the competition between nonlinearity and long-range intermolecular interactions are shown to modify the domain of instability of plane waves. The impact of the competition between nonlinearity and long-range interactions, on the process of energy transport and storage, is also addressed numerically. It is shown that nonlinearity and the long-range couplings conspire to the emergence of trains of solitonic structures, when parameters are well chosen within the domain of instability of plane waves. The relevance of the improved model as well as the biological implications of the account of long-range intermolecular interactions, are discussed in the contexts of energy transport and storage in hydrogen-bonded molecular structures in general, and in α-helix proteins in particular.

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