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arXiv · 1606.06956

Statistics of topological RNA structures

Thomas J. X. Li·Christian M. Reidys
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Abstract

In this paper we study properties of topological RNA structures, i.e.~RNA contact structures with cross-serial interactions that are filtered by their topological genus. RNA secondary structures within this framework are topological structures having genus zero. We derive a new bivariate generating function whose singular expansion allows us to analyze the distributions of arcs, stacks, hairpin- , interior- and multi-loops. We then extend this analysis to H-type pseudoknots, kissing hairpins as well as $3$-knots and compute their respective expectation values. Finally we discuss our results and put them into context with data obtained by uniform sampling structures of fixed genus.

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Thomas J. X. Li, Christian M. Reidys. 2016-06-22. Statistics of topological RNA structures. https://arxiv.org/abs/1606.06956

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