Nonlocal models for cell-cell interactions
Kevin Painter (Heriot-Watt University)
Thursday 14th March, 2019 14:00-15:00 Maths 311B
Cells can trigger movement responses in other cells in a multitude of ways including direct cell-cell contact, where responses range from attractive to repulsive. While numerous discrete/agent-based models have been developed to describe such behaviour, there have been relatively few successful continuous models. Here we will describe a continuous nonlocal model that accounts for cell-cell contact driven movements, and show how it can be adapted to describe classic behaviours including differential adhesion driven sorting and contact inhibition of locomotion. We will show how the model can be used to test biological hypotheses, such as the role of movement-induced contacts in zebrafish pigment pattern formation. We will consider a variety of applications where nonlocal interactions play a key role, including zebrafish pigmentation patterning and neural crest invasion processes.