There is an increased necessity for mathematical study of self-assembly of various phenomena ranging from nano-scale structures, material design, crystals and nano devices. We present a range of topological questions associated with DNA self-assembly and three dimensional structures. The questions vary from topological graph theory related to DNA strand routing a three-dimensional mesh, to questions in knot theory related to structural embeddings in 3D, to algebraic descriptions related to Jones monoids associated with DNA origami.
Mathematical models for DNA self-assembly
Nataša Jonoska, University of South Florida
2022 AWM Research Symposium
Mathematics of Materials