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Phys. Rev. E 74, 021921 (2006) [9 pages]

Solitons in the Yakushevich model of DNA beyond the contact approximation

Giuseppe Gaeta
Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy
Received 7 February 2006; published 29 August 2006

The Yakushevich model of DNA torsion dynamics supports soliton solutions, which are supposed to be of special interest for DNA transcription. In the discussion of the model, one usually adopts the approximation [script-l]0-->0, where [script-l]0 is a parameter related to the equilibrium distance between bases in a Watson-Crick pair. Here we analyze the Yakushevich model without [script-l]0-->0. The model still supports soliton solutions indexed by two winding numbers (n,m); we discuss in detail the fundamental solitons, corresponding to winding numbers (1,0) and (0,1) respectively.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.74.021921
DOI: 10.1103/PhysRevE.74.021921
PACS: 87.14.Gg; 82.39.Pj; 02.30.Hq; 05.45.Yv
KEYWORDS: DNA, molecular biophysics, differential equations, solitons

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