6DNA strand displacement, where a single-stranded nucleic acid invades a DNA duplex, is perva-7 sive in genomic processes and DNA engineering applications. The kinetics of strand displacement 8 have been studied in bulk; however, the kinetics of the underlying strand exchange were obfus-9 cated by a slow bimolecular association step. Here, we use a novel single-molecule Fluorescence 10 Resonance Energy Transfer (smFRET) approach termed the "fission" assay to obtain the full dis-11 tribution of first passage times of unimolecular strand displacement. At a frame time of 4.4 ms, 12 the first passage time distribution for a 14-nt displacement domain exhibited a nearly monotonic 13 decay with little delay. Among the eight different sequences we tested, the mean displacement time 14 was on average 35 ms and varied by up to a factor of 13. The measured displacement kinetics also 15 varied between complementary invaders and between RNA and DNA invaders of the same base 16 sequence except for T→U substitution. However, displacement times were largely insensitive to 17 the monovalent salt concentration in the range of 0.25 M to 1 M. Using a one-dimensional random 18 walk model, we infer that the single-step displacement time is in the range of ∼30 µs to ∼300 µs 19 depending on the base identity. The framework presented here is broadly applicable to the kinetic 20 analysis of multistep processes investigated at the single-molecule level. 21 * These two authors contributed equally. † harold.kim@physics.gatech.edu 1 Nucleic acids' ability to form hydrogen bonds between complementary Watson-Crick 2 bases allows for a rich set of complicated, multi-step kinetic behaviors such as duplex 3 hybridization[1] and dehybridization[2], Holliday junction structural dynamics[3, 4], and 4 strand invasion[5]. In particular, strand displacement, which is the exchange of bases 5 between two competing nucleic acid strands of identical sequence, occurs in homologous 6 recombination[6, 7], DNA replication[8] and RNA transcription[9], as well as CRISPR/Cas[10] 7 and the related Cascade complex[11]. In addition to fundamental genomic processes, DNA 8 nanotechnology exploits strand displacement to create nanoscale gadgets[12-14] and com-9 putational circuits[15-18]. Strand displacement also aids in the development of quantitative 10 assays for detection of nucleic acid[19-21] and enzymatic activity[22, 23] with improved 11 probe specificity[24-26].
12For practical applications, strand displacement is implemented with the "invader" 13 strand and a partial duplex composed of the "incumbent" strand and the "substrate" 14 strand[18] (Fig. 1). The partial duplex has two distinct domains: 1) the single-stranded 15 overhang called the toehold which is critical to the speed and efficiency of the reaction[27] 16 and 2) the duplex region called the displacement domain. Toehold-mediated strand dis-17 placement is initiated when the invader strand anneals to the toehold in a bimolecular 18 reaction. Once a stable toehold interaction is formed, the incumben...