RNA substructure as a random matrix ensemble
نویسندگان
چکیده
We obtain a closed form of generating functions of RNA substructure using hermitian matrix model with the Chebyshev polynomial of the second kind, which turns out to be the hypergeometric function. To match the experimental findings of the statistical behavior, we regard the substructure as a grand canonical ensemble and find its fugacity value. We also suggest a hierarchical picture based on the planar structure so that the non-planar structure such as pseudoknot are included.
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