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q-bio.CB2023
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…
math.AP2023★ 8 cited
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…