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arXiv · 1901.09120

Algebraic Systems for DNA Origami Motivated from Temperley-Lieb Algebras

James Garrett·Nataša Jonoska·Hwee Kim·Masahico Saito
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Abstract

We initiate an algebraic approach to study DNA origami structures by associating an element from a monoid to each structure. We identify two types of basic building blocks and describe an DNA origami structure with their composition. These building blocks are taken as generators of a monoid, called origami monoid, and, motivated by the well studied Temperley-Lieb algebras, we identify a set of relations that characterize the origami monoid. We also present several observations about the Green's relations for the origami monoid and study the relations to a cross product of Jones monoids that is a morphic image of an origami monoid.

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James Garrett, Nataša Jonoska, Hwee Kim, Masahico Saito. 2019-01-26. Algebraic Systems for DNA Origami Motivated from Temperley-Lieb Algebras. https://arxiv.org/abs/1901.09120

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