While the self-assembly of different types of DNA origami into well-defined complexes could produce nanostructures on which thousands of locations can be independently functionalized with nanometer-scale preci- sion, current assembly processes have low yields. Bio- molecular complex formation requires relatively strong interactions and reversible assembly pathways that prevent kinetic trapping. To characterize how these issues control origami complex yields, the equilibrium constants for each possible reaction for the assembly of a heterotetrameric ring, the unit cell of a rectangular lattice, were measured using fluorescence colocalization microscopy. We found that origami interface structure controlled reaction free energies. Cooperativity, measured for the first time for a DNA nanostructure assembly reaction, was weak. Simulations of assembly kinetics suggest assembly occurs via parallel pathways with the primary mechanism of assembly being hierarchical: two dimers form that then bind to one another to complete the ring.
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