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Nonlinear waves in double-stranded DNA

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854S, USA

    Natalia L. Komarova & Avy Soffera

  2. Institute for Advanced Study, Einstein Drive, Princeton, NJ, 08540, USA

    Natalia L. Komarova & Avy Soffera

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  1. Natalia L. Komarova
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  2. Avy Soffera
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Correspondence to Natalia L. Komarova.

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Komarova, N.L., Soffera, A. Nonlinear waves in double-stranded DNA. Bull. Math. Biol. 67, 701–718 (2005). https://doi.org/10.1016/j.bulm.2004.09.008

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  • DOI: https://doi.org/10.1016/j.bulm.2004.09.008

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