Wave patterns in α-helix proteins with interspine coupling

J. C. Mimshe Fewu; C. B. Tabi; H. Edongue; H. P. Ekobena Fouda; T. C. Kofané

doi:10.1088/0031-8949/87/02/025801

Wave patterns in α-helix proteins with interspine coupling

J. C. Mimshe Fewu, C. B. Tabi, H. Edongue, H. P. Ekobena Fouda, T. C. Kofané

Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

Modulational instability is a direct way by which localized structures emerge in nonlinear systems. We investigate analytically, through the linear stability of plane wave solutions, the existence of localized structures in α-helix proteins with three spines. Through numerical simulations, trains of pulses are found and confirm our analytical predictions. The presence of higher-order interactions between adjacent spines tends to suppress the formed localized structures for erratic ones to emerge. These erratic structures are highly localized and rather reinforce the idea that the energy to be used in metabolic processes is rather confined to specific regions for its efficiency.

Original language	English
Article number	025801
Journal	Physica Scripta
Volume	87
Issue number	2
DOIs	https://doi.org/10.1088/0031-8949/87/02/025801
Publication status	Published - Feb 1 2013

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics

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10.1088/0031-8949/87/02/025801

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abstract = "Modulational instability is a direct way by which localized structures emerge in nonlinear systems. We investigate analytically, through the linear stability of plane wave solutions, the existence of localized structures in α-helix proteins with three spines. Through numerical simulations, trains of pulses are found and confirm our analytical predictions. The presence of higher-order interactions between adjacent spines tends to suppress the formed localized structures for erratic ones to emerge. These erratic structures are highly localized and rather reinforce the idea that the energy to be used in metabolic processes is rather confined to specific regions for its efficiency.",

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AU - Mimshe Fewu, J. C.

AU - Tabi, C. B.

AU - Edongue, H.

AU - Ekobena Fouda, H. P.

AU - Kofané, T. C.

PY - 2013/2/1

Y1 - 2013/2/1

N2 - Modulational instability is a direct way by which localized structures emerge in nonlinear systems. We investigate analytically, through the linear stability of plane wave solutions, the existence of localized structures in α-helix proteins with three spines. Through numerical simulations, trains of pulses are found and confirm our analytical predictions. The presence of higher-order interactions between adjacent spines tends to suppress the formed localized structures for erratic ones to emerge. These erratic structures are highly localized and rather reinforce the idea that the energy to be used in metabolic processes is rather confined to specific regions for its efficiency.

AB - Modulational instability is a direct way by which localized structures emerge in nonlinear systems. We investigate analytically, through the linear stability of plane wave solutions, the existence of localized structures in α-helix proteins with three spines. Through numerical simulations, trains of pulses are found and confirm our analytical predictions. The presence of higher-order interactions between adjacent spines tends to suppress the formed localized structures for erratic ones to emerge. These erratic structures are highly localized and rather reinforce the idea that the energy to be used in metabolic processes is rather confined to specific regions for its efficiency.

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Wave patterns in α-helix proteins with interspine coupling

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