title: Nonlinear waves in double-stranded DNA.
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.
authors.affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854S, USA.
authors.forename: Natalia L
authors.initials: NL
authors.lastname: Komarova
authors.forename: Avy
authors.initials: A
authors.lastname: Soffer
mesh_terms: D004247:DNA / Q000737:chemistry* / Q000235:genetics; D004260:DNA Repair; D004261:DNA Replication; D008954:Models, Biological; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D009691:Nucleic Acid Denaturation
chemical_list: D004247:DNA