Speaker
Cordula Reisch
(Roskilde University)
Description
Motivated by a mechanical model of tumor encapsulation, we derive a generalized volume-filling cross-diffusion system for the components of tissue structures. The equations are formally derived from mass conservation laws and force balances in a multiphase approach. The model provides a general framework for studying tissue structures, and we show the analytical well-posedness of the system in general settings.
The existence of solutions is proven by using entropy methods, and the conditions for the existence of entropy structures are discussed from a modeling perspective. Numerical simulations showcase the solution behavior beyond the entropy regime.
Author
Cordula Reisch
(Roskilde University)
Co-authors
Ansgar Jügel
(TU Wien)
Sara Xhahysa
(TU Wien)
