On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation

DOI10.1142/S0218202517400188zbMath1371.35149OpenAlexW2601909317WikidataQ111491160 ScholiaQ111491160MaRDI QIDQ5272437

Christian Stinner, Christina Surulescu, Christian Engwer

Publication date: 29 June 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202517400188

zbMATH Keywords

integro-differential equationsglobal existencenonlinear diffusionreceptor bindingmultiscale modelstructured population modelcell-cell and cell-tissue adhesioncancer cell migration through tissueextracellular proton dynamicsnonlocal PDE-ODE systemph-taxis

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

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Uses Software

• DUNE

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