On a coupled SDE-PDE system modeling acid-mediated tumor invasion

DOI10.3934/dcdsb.2018071zbMath1406.35431OpenAlexW2603122499MaRDI QIDQ1634879

Anna Zhigun, Christina Surulescu, Stefanie Sonner, Sandesh Athni Hiremath

Publication date: 18 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018071

zbMATH Keywords

stochastic differential equationspartial differential equationsmultiscale modeltumor acidityintra-and extracellular proton dynamicspH-taxis

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Cell movement (chemotaxis, etc.) (92C17)

Related Items (6)

Modeling of pH regulation in tumor cells: direct interaction between proton-coupled lactate transporters and cancer-associated carbonic anhydrase ⋮ A coupled stochastic differential reaction-diffusion system for angiogenesis ⋮ A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix ⋮ Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy ⋮ Retraction: ``On a coupled SDE-PDE system modeling acid-mediated tumor invasion ⋮ Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment

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