3 citations · 3 across the 4 of their papers we have counts for
4 papers
On a PDE-ODE-PDE model for two interacting cell populations under the influence of an acidic environment and with nonlocal intra- and interspecific growth limitation
Maria Eckardt, Christina Surulescu
We consider a model for the dynamics of active cells interacting with their quiescent counterparts under the influence of acidity characterized by proton concentration. The active…
Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion
Maria Eckardt, Anna Zhigun
Global existence of very weak solutions to a non-local diffusion-advection-reaction equation is established under no-flux boundary conditions in higher dimensions. The equation fea…
On a mathematical model for cancer invasion with repellent pH-taxis and nonlocal intraspecific interaction
Maria Eckardt, Christina Surulescu
Starting from a mesoscopic description of cell migration and intraspecific interactions we obtain by upscaling an effective reaction-difusion-taxis equation for the cell population…
Nonlocal and local models for taxis in cell migration: a rigorous limit procedure
Maria Krasnianski, Kevin Painter, Christina Surulescu +1
A rigorous limit procedure is presented which links nonlocal models involving adhesion or nonlocal chemotaxis to their local counterparts featuring haptotaxis and classical chemota…