DNA hairpins : fuel for autonomous DNA devices Running title : DNA hairpin fuels

We present a study of the hybridization of complementary DNA hairpin loops, with particular reference to their use as fuel for autonomous DNA devices. The rate of spontaneous hybridization between complementary hairpins can be reduced by increasing the neck length or decreasing the loop length. Hairpins with larger loops rapidly form long-lived kissed complexes. Hairpin loops may be opened by strand displacement using an opening strand that contains the same sequence as half of the neck and a 'toehold' complementary to a single-stranded domain adjacent to the neck. We find loop opening via an external toehold to be 10-100 times faster than via an internal toehold. We measure rates of loop opening by opening strands that are at least 1000 times faster than the spontaneous interaction between hairpins. We discuss suitable choices for loop, neck and toehold length for hairpin loops to be used as fuel for autonomous DNA devices.