22 citations · 44 across the 5 of their papers we have counts for
5 papers
Bi-Filtration and Stability of TDA Mapper for Point Cloud Data
Wako Bungula, Isabel Darcy
Carlsson, Singh and Memoli's TDA mapper takes a point cloud dataset and outputs a graph that depends on several parameter choices. Dey, Memoli, and Wang developed Multiscale Mapper…
Modeling knotted proteins with tangles
Isabel K. Darcy, Garrett Jones, Puttipong Pongtanapaisan
Although rare, an increasing number of proteins have been observed to contain entanglements in their native structures. To gain more insight into the significance of protein knotti…
Rational tangle surgery and Xer recombination on catenanes
Isabel K. Darcy, Kai Ishihara, Ram K. Medikonduri +1
The protein recombinase can change the knot type of circular DNA. The action of a recombinase converting one knot into another knot is normally mathematically modeled by band surge…
Tangle analysis of difference topology experiments: applications to a Mu protein-DNA complex
Isabel K. Darcy, John Luecke, Mariel Vazquez
We develop topological methods for analyzing difference topology experiments involving 3-string tangles. Difference topology is a novel technique used to unveil the structure of st…
Coloring -String Tangles
Isabel K. Darcy, Junalyn Navarra-Madsen
This expository paper describes how the knot invariant Fox coloring can be applied to tangles.