2 papers
math.NA2018
Higher-order models for glioma invasion: from a two-scale description to effective equations for mass density and momentum
Gregor Corbin, Alexander Hunt, Florian Schneider +2
Starting from a two-scale description involving receptor binding dynamics and a kinetic transport equation for the evolution of the cell density function under velocity reorientati…
math.AP2016
Global existence for a degenerate haptotaxis model of tumor invasion under the go-or-grow dichotomy hypothesis
Anna Zhigun, Christina Surulescu, Alexander Hunt
We propose and study a strongly coupled PDE-ODE-ODE system modeling cancer cell invasion through a tissue network under the go-or-grow hypothesis asserting that cancer cells can ei…