### Citation:

2011._ltf_et_al.jcp_.pdf | 482 KB |

### Date Published:

OCT 21### Abstract:

Because of the branching arising from partial self-complementarity, long single-stranded (ss) RNA molecules are significantly more compact than linear arrangements (e. g., denatured states) of the same sequence of monomers. To elucidate the dependence of compactness on the nature and extent of branching, we represent ssRNA secondary structures as tree graphs which we treat as ideal branched polymers, and use a theorem of Kramers for evaluating their root-mean-square radius of gyration, (R) over cap (g) = root < R(g)(2)>. We consider two sets of sequences-random and viral-with nucleotide sequence lengths (N) ranging from 100 to 10 000. The RNAs of icosahedral viruses are shown to be more compact (i.e., to have smaller (R) over cap (g) ) than the random RNAs. For the random sequences we find that (R) over cap (g) varies as N(1/3). These results are contrasted with the scaling of (R) over cap (g) for ideal randomly branched polymers (N(1/4)), and with that from recent modeling of (relatively short, N <= 161) RNA tertiary structures (N(2/5)). (C) 2011 American Institute of Physics. [doi: 10.1063/1.3652763]

*Last updated on 12/25/2016*