Improving cancer treatments via dynamical biophysical models

M Kuznetsov, J Clairambault, V Volpert - Physics of life reviews, 2021 - Elsevier
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

Opportunities for improving brain cancer treatment outcomes through imaging-based mathematical modeling of the delivery of radiotherapy and immunotherapy

DA Hormuth II, M Farhat, C Christenson, B Curl… - Advanced drug delivery …, 2022 - Elsevier
Immunotherapy has become a fourth pillar in the treatment of brain tumors and, when
combined with radiation therapy, may improve patient outcomes and reduce the …

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 …

Overcoming chemotherapy resistance in low-grade gliomas: A computational approach

T Delobel, LE Ayala-Hernández… - PLoS computational …, 2023 - journals.plos.org
Low-grade gliomas are primary brain tumors that arise from glial cells and are usually
treated with temozolomide (TMZ) as a chemotherapeutic option. They are often incurable …

Optimization of antitumor radiotherapy fractionation via mathematical modeling with account of 4 R's of radiobiology

M Kuznetsov, A Kolobov - Journal of Theoretical Biology, 2023 - Elsevier
A spatially-distributed continuous mathematical model of solid tumor growth and treatment
by fractionated radiotherapy is presented. The model explicitly accounts for the factors …

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 …

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 …

Distributed optimal control of a tumor growth treatment model with cross-diffusion effect

PT Sowndarrajan, J Manimaran… - … Physical Journal Plus, 2019 - epjplus.epj.org
In this paper, we examine an optimal control problem of a coupled nonlinear parabolic
system with cross-diffusion operators. The system describes the density of tumor cells …

Macroscopic cerebral tumor growth modeling from medical images: A review

A Elazab, YM Abdulazeem, AM Anter, Q Hu… - IEEE …, 2018 - ieeexplore.ieee.org
Mathematical models have been ubiquitously employed in various applications. One of
these applications that arose in the past few decades is cerebral tumor growth modeling …

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 …