Mathematical modeling in radiation oncology: Translating mathematical models into the clinic

RC Rockne, P Frankel - Advances in Radiation Oncology, 2017 - Springer
The goal of precision medicine is to tailor treatments to the individual patient's disease. In
radiation oncology, this means tailoring the dose to the boundaries of the tumor, but also to …

[引用][C] The role of radio-and chemotherapy in glioblastoma

R Stupp, DC Weber - Oncology Research and Treatment, 2005 - karger.com
316 Onkologie 2005; 28: 315–317 Stupp/Weber factors in the 2D and 3D planning
subgroups, namely patient's age, performance and mental status. In essence, this …

A feasibility study of personalized prescription schemes for glioblastoma patients using a proliferation and invasion glioma model

M Kim, J Kotas, J Rockhill, M Phillips - Cancers, 2017 - mdpi.com
Purpose: This study investigates the feasibility of personalizing radiotherapy prescription
schemes (treatment margins and fractional doses) for glioblastoma (GBM) patients and their …

Study of radiochemotherapy decision-making for young high-risk low-grade glioma patients using a macroscopic and microscopic combined radiomics model

G Wu, Z Shi, Z Li, X Xie, Q Tang, J Zhu, Z Yang… - European …, 2023 - Springer
Objectives As a few types of glioma, young high-risk low-grade gliomas (HRLGGs) have
higher requirements for postoperative quality of life. Although adjuvant chemotherapy with …

Phenocopying glioblastoma: A review

ME Oraiopoulou, E Tzamali… - IEEE Reviews in …, 2021 - ieeexplore.ieee.org
The main reason why therapeutic schemes fail in Glioblastoma lies on its own peculiarities
as a cancer and on our failure to fully decipher them. Fast tumor evolution, invasiveness and …

A spatiotemporal, patient individualized simulation model of solid tumor response to chemotherapy in vivo: the paradigm of glioblastoma multiforme treated by …

GS Stamatakos, VP Antipas… - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
A novel four-dimensional, patient-specific Monte Carlo simulation model of solid tumor
response to chemotherapeutic treatment in vivo is presented. The special case of …

Simulating glioblastoma growth consisting both visible and invisible parts of the tumor using a diffusion–reaction model followed by resection and radiotherapy

N Moshtaghi-Kashanian, H Niroomand-Oscuii… - Acta Neurologica …, 2020 - Springer
Glioblastoma is known to be among one of the deadliest brain tumors in the world today.
There have been major improvements in the detection of cancerous cells in the twenty-first …

A time-resolved experimental–mathematical model for predicting the response of glioma cells to single-dose radiation therapy

J Liu, DA Hormuth, T Davis, J Yang… - Integrative …, 2021 - academic.oup.com
Purpose To develop and validate a mechanism-based, mathematical model that
characterizes 9L and C6 glioma cells' temporal response to single-dose radiation therapy in …

Mathematical modelling of survival of glioblastoma patients suggests a role for radiotherapy dose escalation and predicts poorer outcome after delay to start treatment

NG Burnet, R Jena, SJ Jefferies, SP Stenning… - Clinical Oncology, 2006 - Elsevier
AIMS: The outcome of patients with glioblastoma (GBM) remains extremely poor. We have
developed a mathematical model, using pathological and radiation biology concepts, to …

A numerical handling of the boundary conditions imposed by the skull on an inhomogeneous diffusion-reaction model of glioblastoma invasion into the brain: Clinical …

GS Stamatakos, SG Giatili - Cancer informatics, 2017 - journals.sagepub.com
A novel explicit triscale reaction-diffusion numerical model of glioblastoma multiforme tumor
growth is presented. The model incorporates the handling of Neumann boundary conditions …