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.