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 …

[HTML][HTML] Integrative multi-omics approaches in cancer research: from biological networks to clinical subtypes

YJ Heo, C Hwa, GH Lee, JM Park, JY An - Molecules and cells, 2021 - Elsevier
Multi-omics approaches are novel frameworks that integrate multiple omics datasets
generated from the same patients to better understand the molecular and clinical features of …

Sex differences in GBM revealed by analysis of patient imaging, transcriptome, and survival data

W Yang, NM Warrington, SJ Taylor… - Science translational …, 2019 - science.org
Sex differences in the incidence and outcome of human disease are broadly recognized but,
in most cases, not sufficiently understood to enable sex-specific approaches to treatment …

A spatial model predicts that dispersal and cell turnover limit intratumour heterogeneity

B Waclaw, I Bozic, ME Pittman, RH Hruban… - Nature, 2015 - nature.com
Most cancers in humans are large, measuring centimetres in diameter, and composed of
many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as …

The 2019 mathematical oncology roadmap

RC Rockne, A Hawkins-Daarud, KR Swanson… - Physical …, 2019 - iopscience.iop.org
Whether the nom de guerre is Mathematical Oncology, Computational or Systems Biology,
Theoretical Biology, Evolutionary Oncology, Bioinformatics, or simply Basic Science, there is …

The biology and mathematical modelling of glioma invasion: a review

JCL Alfonso, K Talkenberger… - Journal of the …, 2017 - royalsocietypublishing.org
Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …

Advances in glioblastoma multiforme treatment: new models for nanoparticle therapy

E Ozdemir-Kaynak, AA Qutub… - Frontiers in physiology, 2018 - frontiersin.org
The most lethal form of brain cancer, glioblastoma multiforme, is characterized by rapid
growth and invasion facilitated by cell migration and degradation of the extracellular matrix …

Improving cancer treatments via dynamical biophysical models

M Kuznetsov, J Clairambault, V Volpert - Physics of life reviews, 2021 - Elsevier
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

Patient-specific, mechanistic models of tumor growth incorporating artificial intelligence and big data

G Lorenzo, SR Ahmed, DA Hormuth II… - Annual Review of …, 2023 - annualreviews.org
Despite the remarkable advances in cancer diagnosis, treatment, and management over the
past decade, malignant tumors remain a major public health problem. Further progress in …

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 …