Knots are some of the most remarkable topological features in nature. Self-assembly of knotted polymers without breaking or forming covalent bonds is challenging, as the chain needs to be threaded through previously formed loops in an exactly defined order. Here we describe principles to guide the folding of highly knotted single-chain DNA nanostructures as demonstrated on a nano-sized square pyramid. Folding of knots is encoded by the arrangement of modules of different stability based on derived topological and kinetic rules. Among DNA designs composed of the same modules and encoding the same topology, only the one with the folding pathway designed according to the ‘free-end' rule folds efficiently into the target structure. Besides high folding yield on slow annealing, this design also folds rapidly on temperature quenching and dilution from chemical denaturant. This strategy could be used to design folding of other knotted programmable polymers such as RNA or proteins.
Biopolymers, the essential components of life, are able to form many complex nanostructures, and proteins in particular are the material of choice for most cellular processes. Owing to numerous cooperative interactions, rational design of new protein folds remains extremely challenging. An alternative strategy is to design topofolds-nanostructures built from polypeptide arrays of interacting modules that define their topology. Over the course of the last several decades DNA has successfully been repurposed from its native role of information storage to a smart nanomaterial used for nanostructure self-assembly of almost any shape, which is largely because of its programmable nature. Unfortunately, polypeptides do not possess the straightforward complementarity as do nucleic acids. However, a modular approach can nevertheless be used to assemble polypeptide nanostructures, as was recently demonstrated on a single-chain polypeptide tetrahedron. This review focuses on the current state-of-the-art in the field of topological polypeptide folds. It starts with a brief overview of the field of structural DNA and RNA nanotechnology, from which it draws parallels and possible directions of development for the emerging field of polypeptide-based nanotechnology. The principles of topofold strategy and unique properties of such polypeptide nanostructures in comparison to native protein folds are discussed. Reasons for the apparent absence of such folds in nature are also examined. Physicochemical versatility of amino acid residues and cost-effective production makes polypeptides an attractive platform for designed functional bionanomaterials.
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