Signal amplification schemes that do not rely on protein enzymes show great potential in areas as abstruse as DNA computation and as applied as point-of-care molecular diagnostics. Toeholdmediated strand displacement, a programmable form of dynamic DNA hybridization, can be used to design powerful amplification cascades that can achieve polynomial or exponential amplification of input signals. However, experimental implementation of such amplification cascades has been severely hindered by circuit leakage due to catalyst-independent side reactions. In this study, we systematically analyzed the origins, characteristics, and outcomes of circuit leakage in amplification cascades and devised unique methods to obtain high-quality DNA circuits that exhibit minimal leakage. We successfully implemented a two-layer cascade that yielded 7,000-fold signal amplification and a two-stage, four-layer cascade that yielded upward of 600,000-fold signal amplification. Implementation of these unique methods and design principles should greatly empower molecular programming in general and DNA-based molecular diagnostics in particular.amplifier | enzyme-free | DNA circuitry S ignal amplification is a ubiquitous theme in biology and engineering, and the ability to amplify signals at the molecular level in large measure determines the complexity and robustness of the molecular devices and systems that can be built. Over the past decade, DNA has been established as the ultimate "intelligent material" to build complex structures, circuits, and devices. DNA circuits have been integrated to form complex Boolean networks (1) and molecular neural networks (2). Such programmed circuits have begun to have applications in ordered chemical synthesis (3, 4), multiplexed labeling of biomolecules for fluorescent microscopy (5, 6), and detection of both nucleic acid and nonnucleic acid analytes (7-9). The combination of DNA circuitry and DNA nanotechnology (10, 11) has given rise to DNA robotics (12) and assembly lines (13).The signal amplifiers underlying many of these advances are metastable DNA substrates whose conformational transformations can be catalytically triggered by strand displacement. The first amplifier of this class was designed by Turberfield et al. (14) and was later modified by Seelig et al. by using metastable kissingloop structures (15). Since then, many hybridization-based catalytic systems have been developed, including ones based on topologically constrained interactions (16), entropy-driven strand exchange (17), and catalyzed hairpin assembly (CHA) (18). Some of these schemes allow cascading of catalysis wherein the product of one reaction serves as the catalyst of another reaction. Autocatalytic reactions (17, 19) and cross-catalytic reactions (18) may also be constructed and programmed. Such molecular amplifiers can guard against signal damping during serial signal transductions in nucleic acid circuits and are easily adapted to the integration of logical operations (20).Whereas the outcome of these amplifiers, the ampl...