TY  - INPR
A1  - Athni Hiremath, Sandesh
A1  - Zhigun, Anna
A1  - Sonner, Stefanie
A1  - Surulescu, Christina
T1  - On a coupled SDE-PDE system modeling acid-mediated tumor invasion
N2  - We propose and analyze a multiscale model for acid-mediated tumor invasion
accounting for stochastic effects on the subcellular level. 
The setting involves a PDE of reaction-diffusion-taxis type describing the evolution of the tumor cell density,
the movement being directed towards pH gradients in the local microenvironment,
which is coupled to a PDE-SDE system characterizing the 
dynamics of extracellular and intracellular proton concentrations, respectively.
The global well-posedness of the model is shown and 
numerical simulations are performed in order to illustrate the solution behavior.
Y1  - 2016
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/4451
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-44513
ER  -