22 citations · 29 across the 2 of their papers we have counts for
3 papers · 1 filter
Spatial segregation across travelling fronts in individual-based and continuum models for the growth of heterogeneous cell populations
José A. Carrillo, Tommaso Lorenzi, Fiona R. Macfarlane
We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells prefe…
Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion
Tommaso Lorenzi, Fiona R. Macfarlane, Kevin J. Painter
We formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can occupy a spectrum of states in phenotype space, ranging from `fully mesenchymal' to `ful…
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…