[HTML][HTML] Cancer modeling: From mechanistic to data-driven approaches, and from fundamental insights to clinical applications

S Bekisz, L Geris - Journal of Computational Science, 2020 - Elsevier
Cancer is still one of the major causes of death worldwide. Even if its comprehension is
improving continuously, the complexity and heterogeneity of this group of diseases …

Optimal radiation fractionation for low-grade gliomas: Insights from a mathematical model

T Galochkina, A Bratus, VM Pérez-García - Mathematical biosciences, 2015 - Elsevier
We study optimal radiotherapy fractionations for low-grade glioma using mathematical
models. Both space-independent and space-dependent models are studied. Two different …

Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy

VM Pérez-García… - … Medicine and Biology: A …, 2016 - academic.oup.com
Grade II gliomas are slowly growing primary brain tumours that affect mostly young patients
and become fatal after a variable time period. Current clinical handling includes surgery as …

Quantitative analysis of the proliferative-to-invasive transition of hypoxic glioma cells

H Gomez - Integrative biology, 2017 - academic.oup.com
Hypoxia is a hallmark of gliomas that is often associated with poor prognosis and resistance
to therapies. Insufficient oxygen supply reduces the proliferation rate of tumor cells, which …

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 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 …

[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 …

Mathematical models for low-grade gliomas predict alternative radiotherapy fractionations with improved survival

VM Pérez-García - ITM Web of Conferences, 2015 - itm-conferences.org
Mathematical models for low-grade gliomas predict alternative radiotherapy fractionations
with improved survival Page 1 Mathematical models for low-grade gliomas predict …