139 citations · 1.3k across the 44 of their papers we have counts for
47 papers
Classical Non-Relativistic Fractons
Abhishodh Prakash, Alain Goriely, S. L. Sondhi
We initiate the study of the classical mechanics of non-relativistic fractons in its simplest setting - that of identical one dimensional particles with local Hamiltonians characte…
Cooperative melting in double-stranded peptide chains through local mechanical interactions
Luca Bellino, Giuseppe Florio, Alain Goriely +1
Under an external field a double-stranded peptide chain can separate in a fragile or ductile transition. It is usually believed that these two regimes are driven either by chemical…
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…