[HTML][HTML] Cancer modeling: From mechanistic to data-driven approaches, and from fundamental insights to clinical applications

S Bekisz, L Geris - Journal of Computational Science, 2020 - Elsevier
Cancer is still one of the major causes of death worldwide. Even if its comprehension is
improving continuously, the complexity and heterogeneity of this group of diseases …

Tumour genetic heterogeneity in relation to oral squamous cell carcinoma and anti-cancer treatment

G Feller, RAG Khammissa, R Ballyram… - International Journal of …, 2023 - mdpi.com
Oral squamous cell carcinoma (SCC) represents more than 90% of all oral cancers and is
the most frequent SCC of the head and neck region. It may affect any oral mucosal subsite …

Mathematical modelling reveals cellular dynamics within tumour spheroids

JA Bull, F Mech, T Quaiser, SL Waters… - PLoS computational …, 2020 - journals.plos.org
Tumour spheroids are widely used as an in vitro assay for characterising the dynamics and
response to treatment of different cancer cell lines. Their popularity is largely due to the …

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 …

Modeling the effect of intratumoral heterogeneity of radiosensitivity on tumor response over the course of fractionated radiation therapy

JCL Alfonso, L Berk - Radiation oncology, 2019 - Springer
Background Standard radiobiology theory of radiation response assumes a uniform innate
radiosensitivity of tumors. However, experimental data show that there is significant …

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 …

Blackboard to bedside: a mathematical modeling bottom-up approach toward personalized cancer treatments

S Hamis, GG Powathil, MAJ Chaplain - JCO clinical cancer …, 2019 - ascopubs.org
Cancers present with high variability across patients and tumors; thus, cancer care, in terms
of disease prevention, detection, and control, can highly benefit from a personalized …

Mathematical oncology

ARA Anderson, PK Maini - Bulletin of mathematical biology, 2018 - Springer
Despite a huge amount of research effort, cancer continues to be a major killer. One of the
main reasons for this is the immense complexity of the disease. Cancer is a multiscale …

Mathematical model of tumour spheroid experiments with real-time cell cycle imaging

W Jin, L Spoerri, NK Haass, MJ Simpson - Bulletin of Mathematical Biology, 2021 - Springer
Abstract Three-dimensional (3D) in vitro tumour spheroid experiments are an important tool
for studying cancer progression and potential cancer drug therapies. Standard experiments …

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 …