Nonenzymatic catalytic substrates have been engineered using toehold-mediated DNA strand displacement, and their programmable applications range from medical diagnosis to molecular computation. However, the complexity, stability, scalability, and sensitivity of those systems are plagued by network leakage. A novel way to suppress leakage is to increase its energy barrier through four-way branch migration. Presented here, we designed multi-arm junction substrates that simultaneously exploit four-way branch migration, with a high-energy barrier to minimize leakage, and three-way branch migration, with a low-energy barrier to maximize catalysis. Original feed forward, autocatalytic, and cross-catalytic systems have been designed with polynomial and exponential amplification that exhibit the modularity of linear substrates and the stability of hairpin substrates, creating a new phase space for synthetic biologist, biotechnologist, and DNA nanotechnologists to explore. A key insight is that high-performing circuits can be engineered in the absence of intensive purification and/or extensive rounds of design optimization. Without adopting established leakage suppression techniques, the ratio of the catalytic rate constant to the leakage rate constant is more than 2 orders of magnitude greater than state-of-the-art linear and hairpin substrates. Our results demonstrate that multi-arm junctions have great potential to become central building blocks in dynamic DNA nanotechnology.

DNA strand displacement systems have transformative potential in synthetic biology. While powerful examples have been reported in DNA nanotechnology, such systems are plagued by leakage, which limits network stability, sensitivity, and scalability. An approach to mitigate leakage in DNA nanotechnology, which is applicable to synthetic biology, is to introduce mismatches to complementary fuel sequences at key locations. However, this method overlooks nuances in the secondary structure of the fuel and substrate that impact the leakage reaction kinetics in strand displacement systems. In an effort to quantify the impact of secondary structure on leakage, we introduce the concepts of availability and mutual availability and demonstrate their utility for network analysis. Our approach exposes vulnerable locations on the substrate and quantifies the secondary structure of fuel strands. Using these concepts, a 4-fold reduction in leakage has been achieved. The result is a rational design process that efficiently suppresses leakage and provides new insight into dynamic nucleic acid networks.

Locked nucleic acids (LNAs) are conformationally restricted RNA nucleotides. Their increased thermal stability and selectivity toward their complements make them well-suited for diagnostic and therapeutic applications. Although the structural and thermodynamic properties of LNA-LNA, LNA-RNA, and LNA-DNA hybridizations are known, the kinetic effects of incorporating LNA nucleotides into DNA strand displacement systems are not. Here, we thoroughly studied the strand displacement kinetics as a function of the number and position of LNA nucleotides in DNA oligonucleotides. When compared to that of an all-DNA control, with an identical sequence, the leakage rate constant was reduced more than 50-fold, to an undetectable level, and the invasion rate was preserved for a hybrid DNA/LNA system. The total performance enhancement ratio also increased more than 70-fold when calculating the ratio of the invading rate to the leakage rate constants for a hybrid system. The rational substitution of LNA nucleotides for DNA nucleotides preserves sequence space while improving the signal-to-noise ratio of strand displacement systems. Hybrid DNA/LNA systems offer great potential for high-performance chemical reaction networks that include catalyzed hairpin assemblies, hairpin chain reactions, motors, walkers, and seesaw gates.