Komarova, Natalia L.; Soffera, Avy Nonlinear waves in double-stranded DNA. (English) Zbl 1334.92308 Bull. Math. Biol. 67, No. 4, 701-718 (2005). Summary: 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 this ‘curvature dissipation’. The equations that 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. Cited in 3 Documents MSC: 92D20 Protein sequences, DNA sequences 74L15 Biomechanical solid mechanics Keywords:nonlinear model; bubble dynamics; DNA; meiotic recombination PDFBibTeX XMLCite \textit{N. L. Komarova} and \textit{A. Soffera}, Bull. Math. Biol. 67, No. 4, 701--718 (2005; Zbl 1334.92308) Full Text: DOI arXiv