Wave propagation of coupled modes in the DNA double helix

C. B. Tabi, H. P. Ekobena Fouda, A. Mohamadou, T. C. Kofané

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The remarkable dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schrödinger equations. We consider both the single and the coupled nonlinear excitation modes and, under numerical simulations of the Peyrard-Bishop model, with the use of realistic values of parameters, their biological implications are studied. Furthermore, the characteristics of the coupled mode solution are discussed and we show that such a solution can describe the local opening observed within the transcription and the replication phenomena.

Original languageEnglish
Article number035802
JournalPhysica Scripta
Volume83
Issue number3
DOIs
Publication statusPublished - Jan 1 2011

Fingerprint

Helix
helices
Transcription
coupled modes
Wave Propagation
Replication
nonlinear equations
wave propagation
Nonlinear Equations
deoxyribonucleic acid
Excitation
Molecules
Numerical Simulation
excitation
molecules
simulation
Model

All Science Journal Classification (ASJC) codes

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

Cite this

Tabi, C. B. ; Ekobena Fouda, H. P. ; Mohamadou, A. ; Kofané, T. C. / Wave propagation of coupled modes in the DNA double helix. In: Physica Scripta. 2011 ; Vol. 83, No. 3.
@article{55276b87727741799bf8188221e15e47,
title = "Wave propagation of coupled modes in the DNA double helix",
abstract = "The remarkable dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schr{\"o}dinger equations. We consider both the single and the coupled nonlinear excitation modes and, under numerical simulations of the Peyrard-Bishop model, with the use of realistic values of parameters, their biological implications are studied. Furthermore, the characteristics of the coupled mode solution are discussed and we show that such a solution can describe the local opening observed within the transcription and the replication phenomena.",
author = "Tabi, {C. B.} and {Ekobena Fouda}, {H. P.} and A. Mohamadou and Kofan{\'e}, {T. C.}",
year = "2011",
month = "1",
day = "1",
doi = "10.1088/0031-8949/83/03/035802",
language = "English",
volume = "83",
journal = "Physica Scripta",
issn = "0031-8949",
publisher = "IOP Publishing Ltd.",
number = "3",

}

Tabi, CB, Ekobena Fouda, HP, Mohamadou, A & Kofané, TC 2011, 'Wave propagation of coupled modes in the DNA double helix', Physica Scripta, vol. 83, no. 3, 035802. https://doi.org/10.1088/0031-8949/83/03/035802

Wave propagation of coupled modes in the DNA double helix. / Tabi, C. B.; Ekobena Fouda, H. P.; Mohamadou, A.; Kofané, T. C.

In: Physica Scripta, Vol. 83, No. 3, 035802, 01.01.2011.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Wave propagation of coupled modes in the DNA double helix

AU - Tabi, C. B.

AU - Ekobena Fouda, H. P.

AU - Mohamadou, A.

AU - Kofané, T. C.

PY - 2011/1/1

Y1 - 2011/1/1

N2 - The remarkable dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schrödinger equations. We consider both the single and the coupled nonlinear excitation modes and, under numerical simulations of the Peyrard-Bishop model, with the use of realistic values of parameters, their biological implications are studied. Furthermore, the characteristics of the coupled mode solution are discussed and we show that such a solution can describe the local opening observed within the transcription and the replication phenomena.

AB - The remarkable dynamics of waves propagating along the DNA molecule is described by the coupled nonlinear Schrödinger equations. We consider both the single and the coupled nonlinear excitation modes and, under numerical simulations of the Peyrard-Bishop model, with the use of realistic values of parameters, their biological implications are studied. Furthermore, the characteristics of the coupled mode solution are discussed and we show that such a solution can describe the local opening observed within the transcription and the replication phenomena.

UR - http://www.scopus.com/inward/record.url?scp=79952799829&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952799829&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/83/03/035802

DO - 10.1088/0031-8949/83/03/035802

M3 - Article

VL - 83

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 3

M1 - 035802

ER -