Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells

DOI10.1016/j.na.2019.111572zbMath1434.35253OpenAlexW2964867496WikidataQ120442129 ScholiaQ120442129MaRDI QIDQ2278483

Stefania Gatti, Alain Miranville, Monica Conti

Publication date: 5 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111572

zbMATH Keywords

boundary conditionswell-posednessextinctionhypoxic glioma cellsproliferative-to-invasive transition

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Maximum principles in context of PDEs (35B50) Cell biology (92C37) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09)

Related Items (7)

Numerical analysis of a mathematical model describing the evolution of hypoxic glioma cells ⋮ Theoretical and numerical analysis of a parabolic system with chemoattraction modeling the growth of glioma cells ⋮ Cahn-Hilliard models for glial cells ⋮ On a coupled Cahn-Hilliard/Cahn-Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells ⋮ Analysis of a model for tumor growth and lactate exchanges in a glioma ⋮ An oxygen driven proliferative-to-invasive transition of glioma cells: an analytical study ⋮ A coupled Cahn–Hilliard model for the proliferative-to-invasive transition of hypoxic glioma cells

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