RNA substructure as a random matrix ensemble
Abstract
Combinatorial analysis of a certain abstract of RNA structures has been studied to investigate their statistics. Our approach regards the backbone of secondary structures as an alternate sequence of paired and unpaired sets of nucleotides, which can be described by random matrix model. We obtain the generating function of the structures using Hermitian matrix model with Chebyshev polynomial of the second kind and analyze the statistics with respect to the number of stems. To match the experimental findings of the statistical behavior, we consider the structures in a grand canonical ensemble and find a fugacity value corresponding to an appropriate number of stems.
Keywords
Cite
@article{arxiv.1612.07468,
title = {RNA substructure as a random matrix ensemble},
author = {Sang Kwan Choi and Chaiho Rim and Hwajin Um},
journal= {arXiv preprint arXiv:1612.07468},
year = {2020}
}
Comments
8 pages, 12 figures; v2: data set and figure added, comments added, references updated; v3: appendix and references added, few sentences including abstract paraphrased for clarification, remarks added in the conclusion; v4: published version