[HTML][HTML] Mathematical modeling of radiotherapy and its impact on tumor interactions with the immune system

RA Bekker, S Kim, S Pilon-Thomas, H Enderling - Neoplasia, 2022 - Elsevier
Radiotherapy is a primary therapeutic modality widely utilized with curative intent.
Traditionally tumor response was hypothesized to be due to high levels of cell death …

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 …

[HTML][HTML] Forecasting individual patient response to radiation therapy in head and neck cancer with a dynamic carrying capacity model

MU Zahid, N Mohsin, ASR Mohamed, JJ Caudell… - International Journal of …, 2021 - Elsevier
Purpose: In order for radiotherapy to enter the realm of personalized medicine it will be
necessary to model and predict individual patient responses to radiotherapy. Methods and …

Mathematical modelling of the dynamics of image-informed tumor habitats in a murine model of glioma

KP Slavkova, SH Patel, Z Cacini, AS Kazerouni… - Scientific reports, 2023 - nature.com
Tumors exhibit high molecular, phenotypic, and physiological heterogeneity. In this effort, we
employ quantitative magnetic resonance imaging (MRI) data to capture this heterogeneity …

A mathematical model of breast tumor progression based on immune infiltration

N Mohammad Mirzaei, S Su, D Sofia… - Journal of Personalized …, 2021 - mdpi.com
Breast cancer is the most prominent type of cancer among women. Understanding the
microenvironment of breast cancer and the interactions between cells and cytokines will …

Modelling the Tumour Microenvironment, but What Exactly Do We Mean by “Model”?

CC Reyes-Aldasoro - Cancers, 2023 - mdpi.com
Simple Summary The word “model” can be used with different meanings and different
contexts, like a model student, clay models or a model railway. In some cases, the context …

Data driven mathematical model of colon cancer progression

A Kirshtein, S Akbarinejad, W Hao, T Le, S Su… - Journal of Clinical …, 2020 - mdpi.com
Every colon cancer has its own unique characteristics, and therefore may respond differently
to identical treatments. Here, we develop a data driven mathematical model for the …

[HTML][HTML] Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment

GL Celora, HM Byrne, PG Kevrekidis - Journal of Theoretical Biology, 2023 - Elsevier
We present a mathematical model that describes how tumour heterogeneity evolves in a
tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the …

A framework for performing data-driven modeling of tumor growth with radiotherapy treatment

H Cho, AL Lewis, KM Storey, R Jennings… - Using Mathematics to …, 2021 - Springer
Recent technological advances make it possible to collect detailed information about
tumors, and yet clinical assessments about treatment responses are typically based on …

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 …