DNA Double Crossover Molecules Research Articles

The unusual and dynamic character of PX-DNA.

PX-DNA is a four-stranded DNA structure that has been implicated in the recognition of homology, either continuously, or in an every-other-half-turn fashion. Some of the structural features of the molecule have been noted previously, but the structure requires further characterization. Here, we report atomic force microscopic characterization of PX molecules that contain periodically placed biotin groups, enabling the molecule to be labeled by streptavidin molecules at these sites. In comparison with conventional double stranded DNA and with antiparallel DNA double crossover molecules, it is clear that PX-DNA is a more dynamic structure. Furthermore, the spacing between the nucleotide pairs along the helix axis is shorter, suggesting a mixed B/A structure. Circular dichroism spectroscopy indicates unusual features in the PX molecule that are absent in both the molecules to which it is compared.

Increasing Redundancy Exponentially Reduces Error Rates during Algorithmic Self-Assembly.

While biology demonstrates that molecules can reliably transfer information and compute, design principles for implementing complex molecular computations in vitro are still being developed. In electronic computers, large-scale computation is made possible by redundancy, which allows errors to be detected and corrected. Increasing the amount of redundancy can exponentially reduce errors. Here, we use algorithmic self-assembly, a generalization of crystal growth in which the self-assembly process executes a program for growing an object, to examine experimentally whether redundancy can analogously reduce the rate at which errors occur during molecular self-assembly. We designed DNA double-crossover molecules to algorithmically self-assemble ribbon crystals that repeatedly copy a short bitstring, and we measured the error rate when each bit is encoded by 1 molecule, or redundantly encoded by 2, 3, or 4 molecules. Under our experimental conditions, each additional level of redundancy decreases the bitwise error rate by a factor of roughly 3, with the 4-redundant encoding yielding an error rate less than 0.1%. While theory and simulation predict that larger improvements in error rates are possible, our results already suggest that by using sufficient redundancy it may be possible to algorithmically self-assemble micrometer-sized objects with programmable, nanometer-scale features.

Six-helix bundles designed from DNA.

We present a designed cyclic DNA motif that consists of six DNA double helices that are connected to each other at two crossover sites. DNA double helices with 10.5 nucleotide pairs per turn facilitate the programming of DNA double crossover molecules to form hexagonally symmetric arrangements when the crossover points are separated by seven or fourteen nucleotide pairs. We demonstrate by atomic force microscopy well-formed arrays of hexagonal six-helix bundle motifs both in 1D and in 2D.

Design and Characterization of Programmable DNA Nanotubes

DNA self-assembly provides a programmable bottom-up approach for the synthesis of complex structures from nanoscale components. Although nanotubes are a fundamental form encountered in tile-based DNA self-assembly, the factors governing tube structure remain poorly understood. Here we report and characterize a new type of nanotube made from DNA double-crossover molecules (DAE-E tiles). Unmodified tubes range from 7 to 20 nm in diameter (4 to 10 tiles in circumference), grow as long as 50 microm with a persistence length of approximately 4 microm, and can be programmed to display a variety of patterns. A survey of modifications (1) confirms the importance of sticky-end stacking, (2) confirms the identity of the inside and outside faces of the tubes, and (3) identifies features of the tiles that profoundly affect the size and morphology of the tubes. Supported by these results, nanotube structure is explained by a simple model based on the geometry and energetics of B-form DNA.

Paranemic crossover DNA: a generalized Holliday structure with applications in nanotechnology.

Paranemic crossover (PX) DNA is a four-stranded coaxial DNA complex containing a central dyad axis that relates two flanking parallel double helices. The strands are held together exclusively by Watson-Crick base pairing. The key feature of the structure is that the two adjacent parallel DNA double helices form crossovers at every point possible. Hence, reciprocal crossover points flank the central dyad axis at every major or minor groove separation. This motif has been modeled and characterized in an oligonucleotide system; a minor groove separation of five nucleotide pairs and major groove separations of six, seven, or eight nucleotide pairs produce stable PX DNA molecules; a major groove separation of 9 nucleotide pairs is possible at low concentrations. Every strand undergoes a crossover every helical repeat (11, 12, 13, or 14 nucleotides), but the structural period of each strand corresponds to two helical repeats (22, 24, 26, or 28 nucleotides). Nondenaturing gel electrophoresis shows that the molecules are stable, forming well-behaved complexes. PX DNA can be produced from closed dumbbells, demonstrating that the molecule is paranemic. Ferguson analysis indicates that the molecules are similar in shape to DNA double crossover molecules. Circular dichroism spectra are consistent with B-form DNA. Thermal transition profiles suggest a premelting transition in each of the molecules. Hydroxyl radical autofootprinting analysis confirms that there is a crossover point at each of the positions expected in the secondary structure. These molecules are generalized Holliday junctions.

The Flexibility of DNA Double Crossover Molecules

Double crossover molecules are DNA structures containing two Holliday junctions connected by two double helical arms. There are several types of double crossover molecules, differentiated by the relative orientations of their helix axes, parallel or antiparallel, and by the number of double helical half-turns (even or odd) between the two crossovers. They are found as intermediates in meiosis and they have been used extensively in structural DNA nanotechnology for the construction of one-dimensional and two-dimensional arrays and in a DNA nanomechanical device. Whereas the parallel double helical molecules are usually not well behaved, we have focused on the antiparallel molecules; antiparallel molecules with an even number of half-turns between crossovers (termed DAE molecules) produce a reporter strand when ligated, facilitating their characterization in a ligation cyclization assay. Hence, we have estimated the flexibility of antiparallel DNA double crossover molecules by means of ligation-closure experiments. We are able to show that these molecules are approximately twice as rigid as linear duplex DNA.

Direct evidence for spontaneous branch migration in antiparallel DNA Holliday junctions.

The Holliday junction is a central intermediate in genetic recombination. It contains four strands of DNA that are paired into four double helical arms flanking a branch point. In naturally occurring Holliday junctions, the sequence flanking the branch point contains 2-fold (homologous) symmetry. As a consequence of this symmetry, the junction can undergo a conformational isomerization known as branch migration, which relocates the site of branching. In the absence of proteins and in the presence of Mg(2+), the four arms are known to stack in pairs, forming two helical domains whose orientations are antiparallel. Nevertheless, the mechanistic models proposed for branch migration are all predicated on a parallel alignment of helical domains. Here, we have used antiparallel DNA double crossover molecules to demonstrate that branch migration can occur in antiparallel Holliday junctions. We have constructed a DNA double crossover molecule with three crossover points. Two adjacent branch points in this molecule are flanked by symmetric sequences. The symmetric crossover points are held immobile by the third crossover point, which is flanked by asymmetric sequences. Restriction of the helices that connect the immobile junction to the symmetric junctions releases this constraint. The restricted molecule undergoes branch migration, even though it is constrained to an antiparallel conformation.

Two Dimensions and Two States in DNA Nanotechnology

The construction of periodic matter and nanomechanical devices are central goals of DNA nanotechnology. The minimal requirements for components of designed crystals are [1] programmable interactions, [2] predictable local intermolecular structures and [3] rigidity. The sticky-ended association of DNA molecules fulfills the first two criteria, because it is specific and diverse, and it results in the formation of B-DNA. Stable branched DNA molecules permit the formation of networks, but individual single branches are too flexible. Antiparallel DNA double crossover (DX) molecules can provide the necessary rigidity, so we use these components to tile the plane. It is possible to include DNA hairpins that act as topographic labels for this 2-D crystalline array, because they protrude from its plane. By altering sticky ends, it is possible to change the topographic features formed by these hairpins, and to detect these changes by means of AFM. We can modify arrays by restricting hairpins or by adding them to sticking ends protruding from the array. Although individual branched junctions are unsuitable for use as crystalline components, parallelograms of four 4-arm junction molecules are sufficiently rigid that they can be used to produce 2D arrays. The arrays contain cavities whose dimensions are readily tuned by changing the edges of their parallelogram components. We have used these arrays to measure directly the angle between the helices of the Holliday junction. The rigidity of the DX motif can also be exploited to produce a nanomechanical device predicated on the B-Z transition. Two DNA double crossover molecules have been joined by a segment of DNAcapable of undergoing the B-Z transition. In the B-conformation, the unconnected helices of the two molecules are on the same side of the connecting helix, whereas in the Z conformation they are on opposite sides, leading to movements of as much as 60Å. This effect is shown by fluorescence resonance energy transfer, because dyes attached to the unconnected helices have different separations in the two states.

Algorithmic Self-Assembly of DNA: Theoretical Motivations and 2D Assembly Experiments

Biology makes things far smaller and more complex than anything produced by human engineering. The biotechnology revolution has for the first time given us the tools necessary to consider engineering on the molecular level. Research in DNA computation, launched by Len Adleman, has opened the door for experimental study of programmable biochemical reactions. Here we focus on a single biochemical mechanism, the self-assembly of DNA structures, that is theoretically sufficient for Turing-universal computation. The theory combines Hao Wang's purely mathematical Tiling Problem with the branched DNA constructions of Ned Seeman. In the context of mathematical logic, Wang showed how jigsaw-shaped tiles can be designed to simulate the operation of any Turing Machine. For a biochemical implementation, we will need molecular Wang tiles. DNA molecular structures and intermolecular interactions are particularly amenable to design and are sufficient for the creation of complex molecular objects. The structure of individual molecules can be designed by maximizing desired and minimizing undesired Watson-Crick complementarity. Intermolecular interactions are programmed by the design of sticky ends that determine which molecules associate, and how. The theory has been demonstrated experimentally using a system of synthetic DNA double-crossover molecules that self-assemble into two-dimensional crystals that have been visualized by atomic force microscopy. This experimental system provides an excellent platform for exploring the relationship between computation and molecular self-assembly, and thus represents a first step toward the ability to program molecular reactions and molecular structures.

No braiding of holliday junctions in positively supercoiled DNA molecules

The Holliday junction is a prominent intermediate in genetic recombination that consists of four double helical arms of DNA flanking a branch point. Under many conditions, the Holliday junction arranges its arms into two stacked domains that can be oriented so that genetic markers are parallel or antiparallel. In this arrangement, two strands retain a helical conformation, and the other two strands effect the crossover between helical domains. The products of recombination are altered by a crossover isomerization event, which switches the strands fulfilling these two roles. It appears that effecting this switch from the parallel conformation by the simplest mechanism results in braiding the crossover strands at the branch point. In previous work we showed by topological means that a short, parallel, DNA double crossover molecule with closed ends did not braid its branch point; however, that molecule was too short to adopt the necessary positively supercoiled topology. Here, we have addressed the sam1e problem using a larger molecule of the same type. We have constructed a parallel DNA double crossover molecule with closed ends, containing 14 double helical turns in each helix between its crossover points. We have prepared this molecule in a relaxed form by simple ligation and in a positively supercoiled form by ligation in the presence of netropsin. The positively supercoiled molecule is of the right topology to accommodate braiding. We have compared the relaxed and supercoiled versions for their responses to probes that include hydroxyl radicals, KMnO4, the junction resolvases endonuclease VII and RuvC, and RuvC activation of KMNO4 sensitivity. In no case did we find evidence for a braid at the crossover point. We conclude that Holliday junctions do not braid at their branch points, and that the topological problem created by crossover isomerization in the parallel conformation is likely to be solved by distributing the stress over the helices that flank the branch point.

New motifs in DNA nanotechnology

Recently, we have invested a great deal of effort to construct molecular building blocks from unusual DNA motifs. DNA is an extremely favorable construction medium. The sticky-ended association of DNA molecules occurs with high specificity, and it results in the formation of B-DNA, whose structure is well known. The use of stable-branched DNA molecules permits one to make stick-figures. We have used this strategy to construct a covalently closed DNA molecule whose helix axes have the connectivity of a cube, and a second molecule, whose helix axes have the connectivity of a truncated octahedron. In addition to branching topology, DNA also yields control of linking topology, because double helical half-turns of B-DNA or Z-DNA can be equated, respectively, with negative or positive crossings in topological objects. Consequently, we have been able to use DNA to make trefoil knots of both signs and figure of 8 knots. By making RNA knots, we have discovered the existence of an RNA topoisomerase. DNA-based topological control has also led to the construction of Borromean rings, which could be used in DNA-based computing applications. The key feature previously lacking in DNA construction has been a rigid molecule. We have discovered that DNA double crossover molecules can provide this capability. We have incorporated these components in DNA assemblies that use this rigidity to achieve control on the geometrical level, as well as on the topological level. Some of these involve double crossover molecules, and others involve double crossovers associated with geometrical figures, such as triangles and deltahedra.

Ligation of DNA Triangles Containing Double Crossover Molecules

An antiparallel DNA double crossover molecule has been incorporated into one edge of a DNA triangle. The goal in this work is to combine a rigid geometrical motif, the triangle, with a rigid DNA motif, the double crossover, incorporating the properties of branched DNA. The triangle has been designed to contain 3 turns of DNA in each edge. The double crossover molecule produces an extra domain along its edge. The extra domain can be restricted by Bbs I to produce two complementary sticky ends separated by 4.5 turns of DNA. Ligation-closure experiments performed on the restricted triangle yield very long reporter strands and no indications of cyclization, suggesting that the double crossover molecule retains its stiffness when incorporated in the triangle. These experiments are evaluated through the use of denaturing gel electrophoresis. The ligation products have been visualized by atomic force microscopy, under nondenaturing conditions. Clear zigzag species can be identified as triangles ligated in one dimension. The images show no systematic distortions such as permanent bends. These visualizations have been confirmed by alternating triangles with simple double crossover molecules. When double crossover molecules containing 4.0 turns are alternated with triangles, the spacing of the vertexes is increased appropriately. When the double crossover molecules contain 4.5 turns, all the vertexes appear on the same side of the linear fragment, confirming the correlation between chemical input and mesoscopic images in the atomic force microscope. We conclude that double crossover molecules can be incorporated into at least one side of a triangle without any apparent effect on their rigidity.

Design and self-assembly of two-dimensional DNA crystals.

Molecular self-assembly presents a 'bottom-up' approach to the fabrication of objects specified with nanometre precision. DNA molecular structures and intermolecular interactions are particularly amenable to the design and synthesis of complex molecular objects. We report the design and observation of two-dimensional crystalline forms of DNA that self-assemble from synthetic DNA double-crossover molecules. Intermolecular interactions between the structural units are programmed by the design of 'sticky ends' that associate according to Watson-Crick complementarity, enabling us to create specific periodic patterns on the nanometre scale. The patterned crystals have been visualized by atomic force microscopy.

DNA nanotechnology: novel DNA constructions.

DNA nanotechnology entails the construction of specific geometrical and topological targets from DNA. The goals include the use of DNA molecules to scaffold the assembly of other molecules, particularly in periodic arrays, with the objects of both crystal facilitation and memory-device construction. Many of these products are based on branched DNA motifs. DNA molecules with the connectivities of a cube and a truncated octahedron have been prepared. A solid-support methodology has been developed to construct DNA targets. DNA trefoil and figure-8 knots have been made, predicated on the relationship between a topological crossing and a half-turn of B-DNA or Z-DNA. The same basis has been used to construct Borromean rings from DNA. An RNA knot has been used to demonstrate an RNA topoisomerase activity. The desire to construct periodic matter held together by DNA sticky ends has resulted in a search for stiff components; DNA double crossover molecules appear to be the best candidates. It appears that novel DNA motifs may be of use in the new field of DNA-based computing.

Cleavage of Double-Crossover Molecules by T4 Endonuclease VII

DNA double-crossover molecules containing two Holliday junctions have been prepared and treated with endonuclease VII, the resolvase from bacteriophage T4. One molecule contains antiparallel double-helical domains, and the other molecule contains parallel domains. The parallel double-crossover model system has been made tractable by closing the free ends of the molecule, to convert it to a catenane. The products resulting from the two substrates differ substantially. The molecule containing antiparallel helical domains is cleaved three nucleotides 3' to the crossover points, in a fashion similar to single Holliday junction analogs. The molecule containing parallel helical domains is cleaved, but the major points of scission are five nucleotides 5' to a branch point on the crossover strands and six nucleotides 3' to the same branch point on the non-crossover strands. The major sites of scission reflect features of molecular symmetry in each case, suggesting that the resolvase recognizes structural features. The cleavage results suggest that the antiparallel structure is the natural substrate, if the Holliday junction is unconstrained within the cell. It is straightforward to reconcile antiparallel Holliday junctions with the conventional parallel paradigm of recombination. Nevertheless, the cleavage of the parallel molecule shows that a parallel substrate could also be cleaved symmetrically by endonuclease VII (but with different products) if the molecule were constrained to assume that conformation within the cell.