Multi-exciton transfer in a biomolecular system

The Peyrard–Bishop model was modified in the present work by taking into account two types of exciton vibrations, and the dynamics of the system is governed by two Schrödinger and four nonlinear equations of motion. Attention is paid to the effective coupling parameter α ′ ( α ), which strongly cont...

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Bibliographic Details
Published inNonlinear dynamics Vol. 112; no. 5; pp. 3887 - 3901
Main Authors Ngoubi, Henock, Sali, Issa, Mvogo, Alain, Ben-Bolie, Germain Hubert, Kofané, Timoleon Crepin
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2024
Springer Nature B.V
Subjects
Automotive Engineering
Classical Mechanics
Control
Damping
Dynamical Systems
Engineering
Equations of motion
Evolution
Excitons
Mathematical models
Mechanical Engineering
Nonlinear equations
Original Paper
Physics
Vibration
Biomolecular system
Multi-exciton polarons and extended Peyrard–Bishop model
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Summary:The Peyrard–Bishop model was modified in the present work by taking into account two types of exciton vibrations, and the dynamics of the system is governed by two Schrödinger and four nonlinear equations of motion. Attention is paid to the effective coupling parameter α ′ ( α ), which strongly controlled the dynamics of multi-excitons circulating in the molecular systems. The regions of turbulence were remarkably higher, predicting that an increase in ν ′ ( ν ) could gradually turned off the propagation of multi-structures. This was approved by numerical simulations, where only one base pair was excited and generated all the dynamics of the entire system. Multi-excitons as modes were obtained, and the dependence of the transport of genetic information on the conformation of double helix was widely analyzed. In addition, the long-term evolution of excitons transport was raised and we predicted a gradual disparity of its temporal evolution as ν ′ increased. The same behaviors were observed, and wave patterns were found to resist to fluctuations when we introduced noises effect, which was in agreement with earlier research. Damping forces influenced steeply the birth of multi-excitons formation states by generating or killing the new structures and therefore perturbed the intensity of polarons in the biomolecular systems.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-09216-w