article · Physica Scripta
This research investigates the dynamics of waves travelling along DNA molecules using coupled nonlinear Schrödinger equations. By applying numerical simulations based on the Peyrard-Bishop model with realistic physical parameters, the study explores both single and coupled nonlinear excitation modes to evaluate their biological implications. The investigation specifically examines the characteristics of coupled mode solutions, demonstrating that these mathematical representations can account for the local strand separation, or opening, that takes place during vital biological activities such as DNA transcription and replication.
Understanding how DNA opens is fundamental to genetics, as the double helix must temporarily separate to copy genetic code or produce proteins. By applying mathematical wave equations to physical models of DNA, this work provides clear theoretical insight into the mechanical and dynamic processes that govern essential cellular functions.
The abstract does not indicate an application pathway, as this research represents early-stage theoretical and numerical modelling.
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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.
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DOI: 10.1088/0031-8949/83/03/035802
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