Kaiserslautern - Fachbereich Mathematik
Refine
Year of publication
- 2015 (1)
Document Type
- Preprint (1)
Language
- English (1)
Has Fulltext
- yes (1)
Keywords
- intra- and extracellular proton dynamics (1) (remove)
Faculty / Organisational entity
A nonlocal stochastic model for intra- and extracellular proton dynamics in a tumor is proposed.
The intracellular dynamics is governed by an SDE coupled to a reaction-diffusion
equation for the extracellular proton concentration on the macroscale. In a more general context
the existence and uniqueness of solutions for local and nonlocal
SDE-PDE systems are established allowing, in particular, to analyze the proton dynamics model both,
in its local version and the case with nonlocal path dependence.
Numerical simulations are performed
to illustrate the behavior of solutions, providing some insights into the effects of randomness on tumor acidity.