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math.AP2024
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…
math.AP2024
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…