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William B Sherman

Publications and source records attributed to William B Sherman.

3 recordsLinked to original sources

Double cohesion in structural DNA nanotechnology.

Double cohesion has proved to be a useful tool to assemble robust 2D arrays of large tiles. Here we present a variety of examples showing the utility of this approach. We apply this principle to the 3 types of 2D lattice sections of arrays whose individual tiles are inherently 3 dimensional, because they contain three vectors that span 3-space. This application includes motifs which are based on the tensegrity triangle, the six-helix bundle motif and on three skewed triple crossover molecules. All of these designs have the potential to form 3 dimensional structures if all three directions of propagation are allowed. If one direction is blunted, 2D arrays form, and all 3 combinations are presented here. In addition, a large parallelogram array that was not attainable previously using single duplex cohesion was also constructed using double cohesion. For comparison, arrays which use another type of double cohesion, double paranemic (PX) cohesion are also presented. Double cohesion of sticky ends proved to be the more effective tool to assemble large motifs into arrays.

DNA↗

Architecture with GIDEON, a program for design in structural DNA nanotechnology.

We present geometry based design strategies for DNA nanostructures. The strategies have been implemented with GIDEON-a graphical integrated development environment for oligonucleotides. GIDEON has a highly flexible graphical user interface that facilitates the development of simple yet precise models, and the evaluation of strains therein. Models are built on a simple model of undistorted B-DNA double-helical domains. Simple point and click manipulations of the model allow the minimization of strain in the phosphate-backbone linkages between these domains and the identification of any steric clashes that might occur as a result. Detailed analysis of 3D triangles yields clear predictions of the strains associated with triangles of different sizes. We have carried out experiments that confirm that 3D triangles form well only when their geometrical strain is less than 4% deviation from the estimated relaxed structure. Thus geometry-based techniques alone, without detailed energetic considerations, can be used to explain certain general trends in DNA structure formation. We have used GIDEON to build detailed models of double crossover and triple crossover molecules, evaluating the non-planarity associated with base tilt and junction misalignments. Computer modeling using a graphical user interface overcomes the limited precision of physical models for larger systems, and the limited interaction rate associated with earlier, command-line driven software.

Base Sequence↗

Design of minimally strained nucleic Acid nanotubes.

A practical theoretical framework is presented for designing and classifying minimally strained nucleic acid nanotubes. The structures are based on the double crossover motif where each double-helical domain is connected to each of its neighbors via two or more Holliday-junction-like reciprocal exchanges, such that each domain is parallel to the main tube axis. Modeling is based on a five-parameter characterization of the segmented double-helical structure. Once the constraint equations have been derived, the primary design problem for a minimally strained N-domain structure is reduced to solving three simultaneous equations in 2N+2 variables. Symmetry analysis and tube merging then allow for the design of a wide variety of tubes, which can be tailored to satisfy requirements such as specific inner and outer radii, or multiple lobed structures. The general form of the equations allows similar techniques to be applied to various nucleic acid helices: B-DNA, A-DNA, RNA, DNA-PNA, or others. Possible applications for such tubes include nanoscale scaffolding as well as custom-shaped enclosures for other nano-objects.

Computer Simulation↗