Bulletin of Mathematical Biology

, Volume 67, Issue 4, pp 701–718 | Cite as

Nonlinear waves in double-stranded DNA

  • Natalia L. Komarova
  • Avy Soffera


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.


Mathematical Biology Localize Solution Soliton Solution Nucleotide Excision Repair Meiotic Recombination 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Society for Mathematical Biology 2005

Authors and Affiliations

  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA
  2. 2.Institute for Advanced StudyPrincetonUSA

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