Nonlinear waves in double-stranded DNA

Details Nonlinear waves in double-stranded DNA Nonlinear waves in double-stranded DNA

2004-11-24

arxiv.org/abs/cond-mat/0411621v2

Physics

Condensed Matter

Soft Condensed Matter

to appear in Bull. Math. Biology

Scientific paper

We propose a nonlinear model derived from first principles, to describe bubble dynamics of DNA. Our model equations include a term derived from the dissipative effect of intermolecular vibrational modes. Such modes are excited by the propagating bubble, and we term it "curvature dissipation". The equations we derive allow for stable pinned localized kinks which form the bubble. We perform the stability analysis and specify the energy requirements for the motion of the localized solutions. Our findings are consistent with properties of DNA dynamics, and can be used in models for denaturation bubbles, RNA and DNA transcription, nucleotide excision repair and meiotic recombination.

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