3 citations · 4 across the 5 of their papers we have counts for
3 papers · 1 filter
Phenotype switching in chemotaxis aggregation models controls the spontaneous emergence of large densities
Kevin J Painter, Michael Winkler
We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing…
Mathematical models for cell migration: a nonlocal perspective
Li Chen, Kevin Painter, Christina Surulescu +1
We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion.…
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
Maria Krasnianski, Kevin Painter, Christina Surulescu +1
A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemota…