Nonlinear Dynamics of DNA Chain
Slobodan Zdravkovic
TL;DR
This paper explores nonlinear models of DNA dynamics, focusing on the helicoidal Peyrard-Bishop model, revealing soliton-like excitations that can explain local openings and transcription mechanisms.
Contribution
It introduces a semi-discrete approximation of the helicoidal PB model, demonstrating soliton solutions relevant to DNA behavior.
Findings
Semi-discrete approximation yields breather-type solitons.
Soliton solutions can explain local DNA openings.
Standing solitary modes relate to DNA-RNA transcription.
Abstract
A couple of models are explained. Helicoidal PB model is studied in more details. It is shown that semi-discrete approximation yields to breather-type soliton moving along the chain. The model can explain local opening as a resonance mode. Also, DNA-RNA transcription is explained through a standing solitary mode.
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