4 citations · 4 across the 4 of their papers we have counts for
4 papers
The fiber of multiparameter persistent homology for simplicial complexes
Heather A. Harrington, Ulrike Tillmann, Maria Torras-Pérez
Vector-valued functions on finite simplicial complexes give rise to multiparameter sublevel set filtrations and corresponding persistent homology. We study the associated inverse p…
Topology across Scales on Heterogeneous Cell Data
Maria Torras-Pérez, Iris H. R. Yoon, Praveen Weeratunga +4
Multiplexed imaging allows multiple cell types to be simultaneously visualised in a single tissue sample, generating unprecedented amounts of spatially-resolved, biological data. I…
A notion of homotopy for directed graphs and their flag complexes
Thomas Chaplin, Heather A. Harrington, Ulrike Tillmann
Directed graphs can be studied by their associated directed flag complex. The homology of this complex has been successful in applications as a topological invariant for digraphs.…
Active shape control by plants in dynamic environments
Hadrien Oliveri, Derek E. Moulton, Heather A. Harrington +1
Plants are a paradigm for active shape control in response to stimuli. For instance, it is well-known that a tilted plant will eventually straighten vertically, demonstrating the i…