[PDF][PDF] Enrique Fernández-Cara & Laurent Prouvée

CA Math - researchgate.net
This paper deals with the optimal control of a mathematical model of glioma progression
incorporating the basic facts of the evolution of primary brain tumors. We will consider a …

Optimal control of mathematical models for the radiotherapy of gliomas: the scalar case

E Fernández-Cara, L Prouvée - Computational and Applied Mathematics, 2018 - Springer
This paper deals with the optimal control of a mathematical model of glioma progression
incorporating the basic facts of the evolution of primary brain tumors. We will consider a …

[PDF][PDF] Optimal control of mathematical models for the radiotherapy of gliomas: a two-equation system

E Fernández-Cara, L Prouvée, J LÍMACO - Livro de Resumos do IX …, 2016 - core.ac.uk
This paper deals with the optimal control of a mathematical model of low-grade glioma
progression incorporating the basic facts of the evolution of this type of primary brain tumor …

[PDF][PDF] Optimal control of a two-equation model of radiotherapy

E Fernández-Cara, J Límaco… - Math. Control Relat …, 2018 - pdfs.semanticscholar.org
This paper deals with the optimal control of a mathematical model for the evolution of a low-
grade glioma (LGG). We will consider a model of the Fischer-Kolmogorov kind for two …

Study and optimal control of glial cells growth models

H Alsayed - 2021 - theses.hal.science
This thesis addresses different therapeutic approaches for gliomas, either directly or at the
level of metabolism using optimal control theory. Indeed, we first consider an Allen-Cahn …

Optimal control problems for a parabolic system modeling glioma therapy

M Garavello, E Rossi - arXiv preprint arXiv:2212.01064, 2022 - arxiv.org
In this paper we consider optimal control problems for a parabolic system modeling a
therapy, based on oncolytic viruses, for the glioma brain cancer. Using several techniques …

[PDF][PDF] A mathematical model of brain tumor and normal tissue responses to radiation therapy

S Becker, A Mang, TA Schütz, A Toma… - Book of Abstracts of the 8 …, 2011 - impan.pl
The present work introduces a mathematical model that simulates the progression of
malignant brain tumors as well as the effect of radiotherapy on cancerous and normal tissue …

Optimization of radiation schedules for proneural gliomas via mathematical modeling

K Leder, K Pitter, E Hollande… - … on Mathematical and …, 2014 - conferences.chalmers.se
Gliomas are the most common and malignant primary tumors of the brain and are commonly
treated with radiation therapy. Despite modest advances in chemotherapy and radiation …

[PDF][PDF] MATHEMATICAL ANALYSIS OF THE MODEL DESCRIBING CHEMOTHERAPY OF BRAIN TUMOURS.

MU Bogdanska, M Bodnar, MJ Piotrowska - duch.mimuw.edu.pl
In this paper we discuss mathematical properties of a model formulated in Bogdanska et al.,
Math Biosci (2017) that describes evolution of a type of brain tumours, namely low grade …

Optimal control of therapies on a tumor growth model with brain lactate kinetics

L Cherfils, S Gatti, A Miranville, H Raad… - … Dynamical Systems-S, 2024 - aimsciences.org
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 …