A century of fractionated radiotherapy: how mathematical oncology can break the rules

N Ghaderi, J Jung, SC Brüningk… - International Journal of …, 2022 - mdpi.com
Radiotherapy is involved in 50% of all cancer treatments and 40% of cancer cures. Most of
these treatments are delivered in fractions of equal doses of radiation (Fractional Equivalent …

Intermittent radiotherapy as alternative treatment for recurrent high grade glioma: A modeling study based on longitudinal tumor measurements

SC Brüningk, J Peacock, CJ Whelan… - Scientific reports, 2021 - nature.com
Recurrent high grade glioma patients face a poor prognosis for which no curative treatment
option currently exists. In contrast to prescribing high dose hypofractionated stereotactic …

A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications

MU Bogdańska, M Bodnar, MJ Piotrowska, M Murek… - PloS one, 2017 - journals.plos.org
Gliomas are the most frequent type of primary brain tumours. Low grade gliomas (LGGs,
WHO grade II gliomas) may grow very slowly for the long periods of time, however they …

Applied mathematics and nonlinear sciences in the war on cancer

VM Pérez-García, S Fitzpatrick… - Applied Mathematics …, 2016 - sciendo.com
Applied mathematics and nonlinear sciences have an enormous potential for application in
cancer. Mathematical models can be used to raise novel hypotheses to test, develop …

A mathematical model of low grade gliomas treated with temozolomide and its therapeutical implications

MU Bogdańska, M Bodnar, J Belmonte-Beitia… - Mathematical …, 2017 - Elsevier
Low grade gliomas (LGGs) are infiltrative and incurable primary brain tumours with typically
slow evolution. These tumours usually occur in young and otherwise healthy patients …

Computational design of improved standardized chemotherapy protocols for grade II oligodendrogliomas

VM Pérez-García, LE Ayala-Hernández… - PLoS computational …, 2019 - journals.plos.org
Here we put forward a mathematical model describing the response of low-grade (WHO
grade II) oligodendrogliomas (LGO) to temozolomide (TMZ). The model describes the …

Optimal combinations of chemotherapy and radiotherapy in low-grade gliomas: a mathematical approach

LE Ayala-Hernández, A Gallegos, P Schucht… - Journal of personalized …, 2021 - mdpi.com
Low-grade gliomas (LGGs) are brain tumors characterized by their slow growth and
infiltrative nature. Treatment options for these tumors are surgery, radiation therapy and …

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 …

Optimization of dose fractionation for radiotherapy of a solid tumor with account of oxygen effect and proliferative heterogeneity

M Kuznetsov, A Kolobov - Mathematics, 2020 - mdpi.com
A spatially-distributed continuous mathematical model of solid tumor growth and treatment
by fractionated radiotherapy is presented. The model explicitly accounts for three time and …