8 citations · 8 across the 6 of their papers we have counts for
6 papers
Pattern formation within phenotype-structured chemotactic populations
Tommaso Lorenzi, Kevin J. Painter
Populations can become spatially organised through chemotaxis autoattraction, wherein population members release their own chemoattractant. Standard models of this process usually…
Trait-structured chemotaxis: Exploring ligand-receptor dynamics and travelling wave properties in a Keller-Segel model
Viktoria Freingruber, Tommaso Lorenzi, Kevin J. Painter +1
A novel trait-structured Keller-Segel model that explores the dynamics of a migrating cell population guided by chemotaxis in response to an external ligand concentration is derive…
Phenotype structuring in collective cell migration:a tutorial of mathematical models and methods
Tommaso Lorenzi, Kevin J Painter, Chiara Villa
Populations are heterogeneous, deviating in numerous ways. Phenotypic diversity refers to the range of traits or characteristics across a population, where for cells this could be…
Phenotypic switching mechanisms determine the structure of cell migration into extracellular matrix under the `go-or-grow' hypothesis
Rebecca M. Crossley, Kevin J. Painter, Tommaso Lorenzi +2
A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models ofte…
A biased random walk approach for modeling the collective chemotaxis of neural crest cells
Viktoria Freingruber, Kevin J. Painter, Mariya Ptashnyk +1
Collective cell migration is a multicellular phenomenon that arises in various biological contexts, including cancer and embryo development. "Collectiveness" can be promoted by cel…
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…