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• W2102428566 abstract "In this paper we study the distribution of stacks/loops in k-non-crossing, tau-canonical RNA pseudoknot structures (k,tau-structures). Here, an RNA structure is called k-non-crossing if it has no more than k-1 mutually crossing arcs and tau-canonical if each arc is contained in a stack of length at least tau. Based on the ordinary generating function of k,tau-structures [G. Ma, C.M. Reidys, Canonical RNA pseudoknot structures, J. Comput. Biol. 15 (10) (2008) 1257] we derive the bivariate generating function T(k, tau)(x, u) = Sigma(n>or=0)Sigma(0<or=t<or=n/2 T(k,tau)(n, t)u(t)x(n), where T(k,tau)(n, t) is the number of k,tau-structures having exactly t stacks and study its singularities. We show that for a specific parametrization of the variable u, T(k, tau)(x, u) exhibits a unique, dominant singularity. The particular shift of this singularity parametrized by u implies a central limit theorem for the distribution of stack-numbers. Our results are of importance for understanding the 'language' of minimum-free energy RNA pseudoknot structures, generated by computer folding algorithms." @default.
• W2102428566 created "2016-06-24" @default.
• W2102428566 creator A5053661506 @default.
• W2102428566 creator A5085968965 @default.
• W2102428566 date "2009-05-01" @default.
• W2102428566 modified "2023-10-01" @default.
• W2102428566 title "Stacks in canonical RNA pseudoknot structures" @default.
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• W2102428566 doi "https://doi.org/10.1016/j.mbs.2008.12.011" @default.
• W2102428566 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19402214" @default.
• W2102428566 hasPublicationYear "2009" @default.
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