139 citations · 1.3k across the 44 of their papers we have counts for
4 papers · 1 filter
Stability of topological descriptors for neuronal morphology
David Beers, Heather A. Harrington, Alain Goriely
The topological morphology descriptor of a neuron is a multiset of intervals associated to the shape of the neuron represented as a tree. In practice, topological morphology descri…
Brain Chains as Topological Signatures for Alzheimer's Disease
Christian Goodbrake, David Beers, Travis B. Thompson +2
We propose a topological framework to study the evolution of Alzheimer's disease, the most common neurodegenerative disease. The modeling of this disease starts with the representa…
Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial
Benjamin J. Walker, Giulia L. Celora, Alain Goriely +2
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. Of the m…
Barcodes distinguish morphology of neuronal tauopathy
David Beers, Despoina Goniotaki, Diane P. Hanger +2
The geometry of neurons is known to be important for their functions. Hence, neurons are often classified by their morphology. Two recent methods, persistent homology and the topol…