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 …

Non-standard radiotherapy fractionations delay the time to malignant transformation of low-grade gliomas

A Henares-Molina, S Benzekry, PC Lara… - PLoS …, 2017 - journals.plos.org
Grade II gliomas are slowly growing primary brain tumors that affect mostly young patients.
Cytotoxic therapies (radiotherapy and/or chemotherapy) are used initially only for patients …

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 …

Radiation protraction schedules for low-grade gliomas: a comparison between different mathematical models

I Budia, A Alvarez-Arenas… - Journal of the …, 2019 - royalsocietypublishing.org
We optimize radiotherapy (RT) administration strategies for treating low-grade gliomas.
Specifically, we consider different tumour growth laws, both with and without spatial effects …

Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy

G Powathil, M Kohandel… - Physics in Medicine …, 2007 - iopscience.iop.org
Gliomas, the most common primary brain tumors, are diffusive and highly invasive. The
standard treatment for brain tumors consists of a combination of surgery, radiation therapy …

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 …

Mathematical model predicts response to radiotherapy of grade II gliomas

LP Romasanta, JB Beitia, AM González… - Reports of Practical …, 2013 - core.ac.uk
Background. We present a mathematical model for grade II glioma progression and
response to radiotherapy (RT) able to predict the long-time response to treatment. Materials …

Optimal number and sizes of the doses in fractionated radiotherapy according to the LQ model

C Bruni, F Conte, F Papa… - … Medicine and Biology: A …, 2019 - academic.oup.com
We address a non-linear programming problem to find the optimal scheme of dose
fractionation in cancer radiotherapy. Using the LQ model to represent the response to …

Modified optimal fractionation for poor prognosis malignant gliomas: an elusive search

T Gupta, K Dinshaw - Acta Oncologica, 2005 - Taylor & Francis
The prognosis of malignant gliomas has not changed much over the last few decades
despite refinements in neurosurgical techniques, high-precision radiotherapy, and newer …

Radiotherapy planning for glioblastoma based on a tumor growth model: implications for spatial dose redistribution

J Unkelbach, BH Menze, E Konukoglu… - Physics in Medicine …, 2014 - iopscience.iop.org
Gliomas differ from many other tumors as they grow infiltratively into the brain parenchyma
rather than forming a solid tumor mass with a well-defined boundary. Tumor cells can be …