no code implementations • 16 Nov 2022 • David Beers, Heather A. Harrington, Alain Goriely
These results guarantee that persistence images of topological morphology descriptors are stable against the same set of perturbations and reliable.
no code implementations • 22 Aug 2022 • Christian Goodbrake, David Beers, Travis B. Thompson, Heather A. Harrington, Alain Goriely
This sequence of edges defines a filtration of the graph.
1 code implementation • 28 Jun 2022 • Benjamin J. Walker, Giulia L. Celora, Alain Goriely, Derek E. Moulton, Helen M. Byrne
Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970s through to contemporary agent-based models.
no code implementations • 7 Apr 2022 • David Beers, Despoina Goniotaki, Diane P. Hanger, Alain Goriely, Heather A. Harrington
We introduce {topological morphology functions}, a class of functions similar to Sholl functions, that can be recovered from the associated topological morphology descriptor.
no code implementations • 2 Mar 2021 • L. Angela Mihai, Alain Goriely
Stability is an important and fruitful avenue of research for liquid crystal elastomers.
Soft Condensed Matter 74B20, 76A15
no code implementations • 29 Sep 2020 • Travis B. Thompson, Georg Meisl, Tuomas Knowles, Alain Goriely
Protein aggregates in the brain play a central role in cognitive decline and structural damage associated with neurodegenerative diseases.
no code implementations • 5 Jul 2020 • P. G. Kevrekidis, Travis Thompson, Alain Goriely
Neurodegenerative diseases are closely associated with the amplification and invasion of toxic proteins.
