Excitons dynamic in a three-stranded α -helix protein chains with diagonal and off-diagonal couplings: effects of strong long-range interactions

R. Y. Ondoua, J. C. Mimshe Fewu, D. Belobo Belobo, C. B. Tabi, H. P. Ekobena Fouda

Research output: Contribution to journalArticlepeer-review

Abstract

Exciton dynamics through a three-stranded α-helix protein chain in the presence of inter-spines and diagonal and off-diagonal couplings as well as long-range interactions are investigated. Its is shown that the behavior of the system is governed by three-coupled modified continuous nonlinear Schrödinger equations. Performing a modulational instability analysis, it appears that both the off-diagonal coupling and the long-range interaction reduce the instability regions and the amplitude of the growth rate. More analytical insights of the system dynamics are obtained by constructing its solutions with the F-expansion method. Many families of solutions are unveiled among them are bright and dark solitary waves, Jacobian elliptic function solutions and hyperbolic function solutions to name just a few. Intensive numerical simulations carried corroborate the analytical solutions found with a good accuracy. In addition, our numerical findings prove that the long-range interactions increase the energy of the waves propagating through the protein chain. From a biological point of view, the model used in the current work better describes the energy transport in protein chains.

Original languageEnglish
Article number274
Number of pages19
JournalEuropean Physical Journal Plus
Volume136
Issue number3
DOIs
Publication statusPublished - Mar 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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