55 citations · 598 across the 84 of their papers we have counts for
3 papers · 2 filters
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…
Asymptotic gradient flow structures of a nonlinear Fokker-Planck equation
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we consider a nonlinear Fokker-Planck equation with asymptotically small parameters. It describes the diffusion of finite-size particles in the presence of a fixed di…
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
Martin Burger, Marco Di Francesco, Simone Fagioli +1
Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in the last decades. In this paper we extend the…