The mathematics of cancer: integrating quantitative models

PM Altrock, LL Liu, F Michor - Nature Reviews Cancer, 2015 - nature.com
Mathematical modelling approaches have become increasingly abundant in cancer
research. The complexity of cancer is well suited to quantitative approaches as it provides …

Clinical management of breast cancer heterogeneity

D Zardavas, A Irrthum, C Swanton… - Nature reviews Clinical …, 2015 - nature.com
Traditionally, intertumour heterogeneity in breast cancer has been documented in terms of
different histological subtypes, treatment sensitivity profiles, and clinical outcomes among …

A review of mathematical models for tumor dynamics and treatment resistance evolution of solid tumors

A Yin, DJAR Moes, JGC van Hasselt… - CPT …, 2019 - Wiley Online Library
Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer
evolution has improved the understanding of anticancer treatment resistance. A better …

Radiological tumour classification across imaging modality and histology

J Wu, C Li, M Gensheimer, S Padda, F Kato… - Nature machine …, 2021 - nature.com
Radiomics refers to the high-throughput extraction of quantitative features from radiological
scans and is widely used to search for imaging biomarkers for the prediction of clinical …

Integrating mechanism-based modeling with biomedical imaging to build practical digital twins for clinical oncology

C Wu, G Lorenzo, DA Hormuth, EABF Lima… - Biophysics …, 2022 - pubs.aip.org
Digital twins employ mathematical and computational models to virtually represent a
physical object (eg, planes and human organs), predict the behavior of the object, and …

Mathematical models of tumor cell proliferation: A review of the literature

AM Jarrett, EABF Lima, DA Hormuth… - Expert review of …, 2018 - Taylor & Francis
Introduction: A defining hallmark of cancer is aberrant cell proliferation. Efforts to understand
the generative properties of cancer cells span all biological scales: from genetic deviations …

Cancer systems biology: a peek into the future of patient care?

HMJ Werner, GB Mills, PT Ram - Nature reviews Clinical oncology, 2014 - nature.com
Traditionally, scientific research has focused on studying individual events, such as single
mutations, gene function, or the effect that mutating one protein has on a biological …

MRI-based digital models forecast patient-specific treatment responses to neoadjuvant chemotherapy in triple-negative breast cancer

C Wu, AM Jarrett, Z Zhou, N Elshafeey, BE Adrada… - Cancer research, 2022 - AACR
Triple-negative breast cancer (TNBC) is persistently refractory to therapy, and methods to
improve targeting and evaluation of responses to therapy in this disease are needed. Here …

[HTML][HTML] Image-based personalization of computational models for predicting response of high-grade glioma to chemoradiation

DA Hormuth, KA Al Feghali, AM Elliott, TE Yankeelov… - Scientific reports, 2021 - nature.com
High-grade gliomas are an aggressive and invasive malignancy which are susceptible to
treatment resistance due to heterogeneity in intratumoral properties such as cell proliferation …

Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth

G Lorenzo, TJR Hughes… - Proceedings of the …, 2019 - National Acad Sciences
Prostate cancer and benign prostatic hyperplasia are common genitourinary diseases in
aging men. Both pathologies may coexist and share numerous similarities, which have …