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

Research output: Contribution to journalArticle

8 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 languageEnglish
Article number025801
JournalPhysica Scripta
Volume87
Issue number2
DOIs
Publication statusPublished - Feb 1 2013

Fingerprint

Localized Structures
spine
Helix
helices
Spine
proteins
Protein
nonlinear systems
Modulational Instability
plane waves
Linear Stability
Plane Wave
Adjacent
Nonlinear Systems
predictions
pulses
Tend
Higher Order
Numerical Simulation
simulation

All Science Journal Classification (ASJC) codes

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

Cite this

Mimshe Fewu, J. C., Tabi, C. B., Edongue, H., Ekobena Fouda, H. P., & Kofané, T. C. (2013). Wave patterns in α-helix proteins with interspine coupling. Physica Scripta, 87(2), [025801]. https://doi.org/10.1088/0031-8949/87/02/025801
Mimshe Fewu, J. C. ; Tabi, C. B. ; Edongue, H. ; Ekobena Fouda, H. P. ; Kofané, T. C. / Wave patterns in α-helix proteins with interspine coupling. In: Physica Scripta. 2013 ; Vol. 87, No. 2.
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Mimshe Fewu, JC, Tabi, CB, Edongue, H, Ekobena Fouda, HP & Kofané, TC 2013, 'Wave patterns in α-helix proteins with interspine coupling', Physica Scripta, vol. 87, no. 2, 025801. https://doi.org/10.1088/0031-8949/87/02/025801

Wave patterns in α-helix proteins with interspine coupling. / Mimshe Fewu, J. C.; Tabi, C. B.; Edongue, H.; Ekobena Fouda, H. P.; Kofané, T. C.

In: Physica Scripta, Vol. 87, No. 2, 025801, 01.02.2013.

Research output: Contribution to journalArticle

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T1 - Wave patterns in α-helix proteins with interspine coupling

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AU - Kofané, T. C.

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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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Mimshe Fewu JC, Tabi CB, Edongue H, Ekobena Fouda HP, Kofané TC. Wave patterns in α-helix proteins with interspine coupling. Physica Scripta. 2013 Feb 1;87(2). 025801. https://doi.org/10.1088/0031-8949/87/02/025801