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 • 19 Oct 2021 • Giulia L. Celora, Helen M. Byrne, P. G. Kevrekidis
We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel.
no code implementations • 14 Jan 2021 • Giulia L. Celora, Helen M. Byrne, Christos Zois, Panos G. Kevrekidis
We use a combination of numerical and analytical techniques to quantify how under physiological oxygen levels the cells evolve to a differentiated phenotype and under low oxygen level (i. e., hypoxia) they de-differentiate.
