7 citations · 7 across the 2 of their papers we have counts for
15 papers
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes
Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi
We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to diffe…
A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer
Giada Fiandaca, Marcello Delitala, Tommaso Lorenzi
Hypoxia and acidity act as environmental stressors promoting selection for cancer cells with a more aggressive phenotype. As a result, a deeper theoretical understanding of the spa…
A hybrid discrete-continuum approach to model Turing pattern formation
Fiona R Macfarlane, Mark AJ Chaplain, Tommaso Lorenzi
Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The rel…
From a discrete model of chemotaxis with volume-filling to a generalised Patlak-Keller-Segel model
Federica Bubba, Tommaso Lorenzi, Fiona R Macfarlane
We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result…
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…