3 citations · 4 across the 4 of their papers we have counts for
7 papers
Leadership through influence: what mechanisms allow leaders to steer a swarm?
Sara Bernardi, Raluca Eftimie, Kevin J. Painter
Collective migration of cells and animals often relies on a specialised set of "leaders", whose role is to steer a population of naive followers towards some target. We formulate a…
Direction-Dependent Turning Leads to Anisotropic Diffusion and Persistence
Nadia Loy, Thomas Hillen, Kevin John Painter
Cells and organisms follow aligned structures in their environment, a process that can generate persistent migration paths. Kinetic transport equations are a popular modelling tool…
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…
Mathematical models for chemotaxis and their applications in self-organisation phenomena
K. J. Painter
Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for attracting microbes to food, embryonic cells into developing tissues, immune cells to infecti…
Spatio-temporal Models of Lymphangiogenesis in Wound Healing
Arianna Bianchi, Kevin J. Painter, Jonathan A. Sherratt
Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although…