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 …

Mathematical modeling of radiotherapy: impact of model selection on estimating minimum radiation dose for tumor control

AR Kutuva, JJ Caudell, K Yamoah, H Enderling… - Frontiers in …, 2023 - frontiersin.org
Introduction Radiation therapy (RT) is one of the most common anticancer therapies. Yet,
current radiation oncology practice does not adapt RT dose for individual patients, despite …

Quantitative modeling of tumor dynamics and radiotherapy

H Enderling, MAJ Chaplain, P Hahnfeldt - Acta biotheoretica, 2010 - Springer
Cancer is a complex disease, necessitating research on many different levels; at the
subcellular level to identify genes, proteins and signaling pathways associated with the …

Simulating tumor volume dynamics in response to radiotherapy: Implications of model selection

N Mohsin, H Enderling, R Brady-Nicholls… - Journal of Theoretical …, 2024 - Elsevier
From the beginning of the usage of radiotherapy (RT) for cancer treatment, mathematical
modeling has been integral to understanding radiobiology and for designing treatment …

The hallmarks of mathematical oncology

JA Bull, HM Byrne - Proceedings of the IEEE, 2022 - ieeexplore.ieee.org
Over the past 25 years, there has been an unparalleled increase in understanding of cancer
biology. This transformation is exemplified by Hanahan and Weinberg's decision in 2011 to …

Analysis of outcomes in radiation oncology: an integrated computational platform

D Liu, M Ajlouni, JY Jin, S Ryu, F Siddiqui… - Medical …, 2009 - Wiley Online Library
Radiotherapy research and outcome analyses are essential for evaluating new methods of
radiation delivery and for assessing the benefits of a given technology on locoregional …

Integrating mathematical modeling into the roadmap for personalized adaptive radiation therapy

H Enderling, JCL Alfonso, E Moros, JJ Caudell… - Trends in cancer, 2019 - cell.com
In current radiation oncology practice, treatment protocols are prescribed based on the
average outcomes of large clinical trials, with limited personalization and without …

Biomathematical optimization of radiation therapy in the era of targeted agents

C Grassberger, JG Scott, H Paganetti - International Journal of …, 2017 - redjournal.org
Cancer treatment is typically a multimodality approach, using a wide spectrum of efficient
therapy options, ranging from radiofrequency ablation to immunotherapy. Within this scope …

A mathematical model of tumor growth and its response to single irradiation

Y Watanabe, EL Dahlman, KZ Leder, SK Hui - Theoretical Biology and …, 2016 - Springer
Background Mathematical modeling of biological processes is widely used to enhance
quantitative understanding of bio-medical phenomena. This quantitative knowledge can be …

The many faces of mathematical modelling in oncology

P Victori, FM Buffa - The British Journal of Radiology, 2019 - academic.oup.com
The application of modelling to solve problems in biology and medicine, and specifically in
oncology and radiation therapy, is increasingly established and holds big promise. We …