70 citations · 239 across the 42 of their papers we have counts for
3 papers · 1 filter
On a Reaction-Cross-Diffusion System Modelling the Growth of Glioblastoma
Martin Burger, Patricia Friele, Jan-Frederik Pietschmann
We investigate a recently proposed cross-diffusion system modelling the growth of gliobastoma taking into account size exclusion both in the migration and proliferation process. In…
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms
Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
We consider the identification of nonlinear diffusion coefficients of the form or in quasi-linear parabolic and elliptic equations. Uniqueness for this inverse prob…
Multiscale modeling of a rectifying bipolar nanopore: Comparing Poisson-Nernst-Planck to Monte Carlo
Bartłomiej Matejczyk, Mónika Valiskó, Marie-Therese Wolfram +2
In the framework of a multiscale modeling approach, we present a systematic study of a bipolar rectifying nanopore using a continuum and a particle simulation method. The common gr…