
An oxygen driven proliferative-to-invasive transition of glioma cells: An analytical study
Author(s) -
Stefania Gatti
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2022002
Subject(s) - glioma , oxygen , transition (genetics) , dynamics (music) , diffusion , chemistry , cancer research , biological system , psychology , physics , biology , thermodynamics , biochemistry , pedagogy , organic chemistry , gene
Our aim in this paper is to analyze a model of glioma where oxygen drives cancer diffusion and proliferation. We prove the global well-posedness of the analytical problem and that, in the longtime, the illness does not disappear. Besides, the tumor dynamics increase the oxygen levels.