Length dependence of RNA-RNA annealing

The association of complementary nucleic acids can be described by a second order rate constant k. For extended molecules, including complex nucleic acids, values of k were shown to be proportional to the square root of the chain length L of the shorter nucleic acid strand at temperatures between tm and tm-30 degrees C. For homopolymers this is true over a wider temperature range. Below temperatures of tm-30 degrees C, annealing rate constants may sharply decrease due to the formation of intramolecular structures. It seems to be reasonable to assume that the formation of intramolecular structures of nucleic acids reduces the density of nucleation sites for annealing and, thereby, lowers the rates of association. Here, we examined the relationship between RNA chain length and the kinetics of RNA-RNA annealing at physiological ionic strength and temperature. We used a complete sequence space derived from chloramphenicol acetyltransferase (cat) sequences to average over all structures for each given length. For groups of progressively longer antisense RNA species and a 800 nucleotides long complementary RNA, the observed annealing rate constants kobs were measured in vitro. The structure-averaged values for kobs of RNA-RNA annealing were not related to the square root of the chain length. Instead, they were found to be proportional to 10(alphaL) (alpha=0.0017). Here, a theoretical model is suggested in which the observed length dependence is mainly influenced by ionic interactions between complementary RNA strands. The observed length dependence has substantial implications for the biological behavior of long-chain complementary RNA including the design of antisense RNA. The efficacy of antisense RNA in living cells is known to be related to annealing kinetics in vitro. Thus, on a statistical basis and independent of individual structures, long-chain rather than short-chain antisense RNA should lead to stronger inhibition.