Enumeration of RNA structures by Matrix Models

Details Enumeration of RNA structures by Matrix Models Enumeration of RNA structures by Matrix Models

2004-10-31

arxiv.org/abs/q-bio/0411004v1

Biology

Quantitative Biology

Biomolecules

RevTeX, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.94.168103

We enumerate the number of RNA contact structures according to their genus, i.e. the topological character of their pseudoknots. By using a recently proposed matrix model formulation for the RNA folding problem, we obtain exact results for the simple case of an RNA molecule with an infinitely flexible backbone, in which any arbitrary pair of bases is allowed. We analyze the distribution of the genus of pseudoknots as a function of the total number of nucleotides along the phosphate-sugar backbone.

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