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 …

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 …

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 …

Optimal Control for a Mathematical Model of Glioma Treatment with Oncolytic Therapy and TNF- Inhibitors

E Ratajczyk, U Ledzewicz, H Schättler - Journal of Optimization Theory and …, 2018 - Springer
A mathematical model for combination therapy of glioma with oncolytic therapy and TNF-α α
inhibitors is analyzed as an optimal control problem. In the objective, a weighted average …

Optimal control problems for differential equations applied to tumor growth: state of the art

C Rojas, J Belmonte-Beitia - Applied Mathematics and Nonlinear …, 2018 - sciendo.com
In this manuscript, we shall apply the tools and methods from optimal control to analyze
various minimally parameterized models that describe the dynamics of populations of …

Mathematical analysis of a generalised model of chemotherapy for low grade gliomas.

M Bodnar, MJ Piotrowska… - Discrete & Continuous …, 2019 - search.ebscohost.com
We study mathematical properties of a model describing growth of primary brain tumours
called low-grade gliomas (LGGs) and their response to chemotherapy. The motivation for …

Efficient protocols to control glioma growth

J Branco, JA Ferreira, P Oliveira - Proceedings of the 13th …, 2013 - estudogeral.uc.pt
In this paper we consider a mathematical model to describe glioma evolution. The model is
established combining the viscoelastic behaviour of the brain tissue with a mass …

Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications

VM Pérez-García, M Bogdanska… - … and biology: A …, 2015 - academic.oup.com
Low-grade gliomas (LGGs) are a group of primary brain tumours usually encountered in
young patient populations. These tumours represent a difficult challenge because many …