Solitons in the Yakushevich model of DNA beyond the contact approximation

Details Solitons in the Yakushevich model of DNA beyond the contact approximation Solitons in the Yakushevich model of DNA beyond the contact approximation

2006-04-04

arxiv.org/abs/q-bio/0604003v2

Phys. Rev. E 74 (2006), 021921

Biology

Quantitative Biology

Biomolecules

Scientific paper

10.1103/PhysRevE.74.021921

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 $\ell_0 \to 0$, where $\ell_0$ is a parameter related to the equilibrium distance between bases in a Watson-Crick pair. Here we analyze the Yakushevich model without $\ell_0 \to 0$. 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.

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