Enumeration of RNA structures by Matrix Models

Abstract

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.

RevTeX, 4 pages, 2 figures

References in corpus (3)

• RNA Folding and Large N Matrix Theory
• Compact support probability distributions in random matrix theory
• Knot complexity and the probability of random knotting

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