Michelle Kemper (former member)

My interests lie in the interface between mathematics and biophysics. I am fascinated by modeling and analyzing biological processes with mathematical methods. Such mathematical models can provide insights into processes that would otherwise not be visible in experiments due to the complexity of the biological processes.

I am currently working on my master thesis on fluid-structure interaction for biological cells. The physical setup is a system of coupled partial differential equations. On the one hand the fluid flow around the cell in the blood vessel and on the other hand the elastic deformation of the cell induced by the flow.

The methods I use are unfittet finite elements for the Stokes equation on moving domains and the elasticity. We use a monolithic varational formulation in fully Eulerian coordinates and couple the two equation with a Nitsche term.