title: Modeling Scalable Pattern Generation in DNA Reaction Networks.
abstract: We have developed a theoretical framework for developing patterns in multiple dimensions using controllable diffusion and designed reactions implemented in DNA. This includes so-called strand displacement reactions in which one single-stranded DNA hybridizes to a hemi-duplex DNA and displaces another single-stranded DNA, reversibly or irreversibly. These reactions can be designed to proceed with designed rate and molecular specificity. By also controlling diffusion by partial complementarity to a stationary, cross-linked DNA, we can generate predictable patterns. We demonstrate this with several simulations showing deterministic, predictable shapes in space.
authors.forename: Peter B
authors.initials: PB
authors.lastname: Allen
authors.forename: Xi
authors.initials: X
authors.lastname: Chen
authors.forename: Zack B
authors.initials: ZB
authors.lastname: Simpson
authors.forename: Andrew D
authors.initials: AD
authors.lastname: Ellington