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 brain cancers with chemotherapy
and antiangiogenic therapy effects. We prove the existence and uniqueness of biologically …

Our aim in this paper is to study a mathematical model for the proliferative-to-invasive
transition of hypoxic glioma cells. We prove the existence and uniqueness of nonnegative …

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 …

We prove the existence of an optimal treatment combining chemotherapy and a lactate
targeting drug for a mathematical model for high grade gliomas and lactate kinetics. 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 …

Although cancerous tumours usually originate from a single cell, they normally evolve into a
remarkably heterogeneous agglomeration of cells. Heterogeneity is a pervasive and almost …

The brain is one of the most important organs in the human body and serves as the control
center for the nervous system supporting all the required functions of the body parts and …

Our aim in this article is not to provide a review of the existing literature but to make a critical
analysis on glioma behavior mathematical modeling. We present here mathematical …