# Mathematical Biology Seminar

### Tracy Stepien

Department of Mathematics, University of Pittsburgh

#### Collective cell migration in single and multi-layer aggregates

#### Friday, February 1, 2013, at 3:05pm

LCB 219

Collective cell migration plays an important role in
maintaining the cohesion of epithelial cell layers, in wound healing,
and in the gastrulation phase of embryonic development. A recently
developed continuum mechanical model of the migration of a single cell
layer based on an assumption of elastic deformation of the cell layer
leads to a generalized Stefan problem. Analysis and numerical results
indicate that a large class of constitutive equations for the dependence
of proliferation on stretch leads to traveling wave solutions with
constant wave speed. The model is extended to describe the migration of
two coupled cell layers, and a numerical method based on a level set
method for free boundary problems with domain decomposition is constructed.