Our aim in this paper is to study a Cahn–Hilliard model with a symport term. This equation is
proposed to model some energy mechanisms (eg, lactate) in glial cells. The main difficulty is …

Our aim in this paper is to study a mathematical model for high grade gliomas, taking into
account lactates kinetics, as well as chemotherapy and antiangiogenic treatment. In …

Our aim in this paper is to study a mathematical model for tumor growth and lactate
exchanges in a glioma. We prove the existence of nonnegative (ie biologically relevant) …

Our aim in this paper is to study a mathematical model for brain cancers with chemotherapy
and antiangiogenic therapy effects. We prove the existence and uniqueness of biologically …

In this work, we develop the numerical analysis of a parabolic system of PDE describing the
proliferation-invasion structure of hypoxic glial cells in the brain. Explicitly, we propose a fully …

Our aim in this paper is to prove the existence of solutions for a model for the proliferative-to-
invasive transition of hypoxic glioma cells. The equations consist of the coupling of a …

In this paper, we consider a two dimensional PDE model describing the proliferation-
invasion structure of hypoxic glial cells in the brain, in which the cell movement is …

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 …

Les gliomes sont des tumeurs cérébrales très répandues et invasives. Hormis les gliomes
de grade I qui peuvent être guérissables après une résection totale de la tumeur, le …

Our aim in this paper is to prove the existence of solutions for a model for the proliferative-to-
invasive transition of hypoxic glioma cells. The equations consist of the coupling of a Cahn …