A statistical reference for RNA secondary structures with minimum free energies is computed by folding large ensembles of random RNA sequences. Four nucleotide alphabets are used: two binary alphabets, AU and GC, the biophysical AUGC and the synthetic GCXK alphabet. RNA secondary structures are made of structural elements, such as stacks, loops, joints, and free ends. Statistical properties of these elements are computed for small RNA molecules of chain lengths up to 100. The results of RNA structure statistics depend strongly on the particular alphabet chosen. The statistical reference is compared with the data derived from natural RNA molecules with similar base frequencies. Secondary structures are represented as trees. Tree editing provides a quantitative measure for the distance dt, between two structures. We compute a structure density surface as the conditional probability of two structures having distance t given that their sequences have distance h. This surface indicates that the vast majority of possible minimum free energy secondary structures occur within a fairly small neighborhood of any typical (random) sequence. Correlation lengths for secondary structures in their tree representations are computed from probability densities. They are appropriate measures for the complexity of the sequence-structure relation. The correlation length also provides a quantitative estimate for the mean sensitivity of structures to point mutations.
snR17, one of the most abundant capped small nuclear RNAs of Saccharomyces cerevisiae, is equivalent to U3 snRNA of other eukaryotes. It is 328 nucleotides in length, 1.5 times as long as other U3 RNAs, but shares significant homology both in nucleotide sequence and in predicted secondary structure. Human scleroderma antiserum specific to nucleolar U3 RNP can enrich snR17 from sonicated yeast nuclear extracts. Unlike other yeast snRNAs which are encoded by single copy genes, snR17 is encoded by two genetically unlinked genes: SNR17A and SNR17B. The RNA snR17A is more abundant than snR17B. Deleting one or other of the genes has no obvious phenotypic effect, except that the steady‐state level of snR17B is increased in snr17a‐ strains. Haploid strains with both genes deleted are inviable, therefore yeast U3 is essential.
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