21 citations · 54 across the 6 of their papers we have counts for
6 papers
Evolutionary dynamics of glucose-deprived cancer cells: insights from experimentally-informed mathematical modelling
Luis Almeida, Jérôme Denis, Nathalie Ferrand +4
Glucose is a primary energy source for cancer cells. Several lines of evidence support the idea that monocarboxylate transporters, such as MCT1, elicit metabolic reprogramming of c…
A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis
Chiara Villa, Alf Gerisch, Mark A. J. Chaplain
Neovascularisation is essential for tissue development and regeneration, in addition to playing a key role in pathological settings such as ischemia and tumour development. Experim…
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations
Chiara Villa, Mark A. J. Chaplain, Alf Gerisch +1
Mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems and describe the physical interactions between cells and t…
Evolutionary dynamics in vascularised tumours under chemotherapy
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We consider a mathematical model for the evolutionary dynamics of tumour cells in vascularised tumours under chemotherapy. The model comprises a system of coupled partial integro-d…
Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies
Tommaso Lorenzi, Fiona R. Macfarlane, Chiara Villa
We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a model for the evolutionary dynami…
Modelling the emergence of phenotypic heterogeneity in vascularised tumours
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
We present a mathematical study of the emergence of phenotypic heterogeneity in vascularised tumours. Our study is based on formal asymptotic analysis and numerical simulations of…