Dissecting cancer through mathematics: from the cell to the animal model

HM Byrne - Nature Reviews Cancer, 2010 - nature.com
This Timeline article charts progress in mathematical modelling of cancer over the past 50
years, highlighting the different theoretical approaches that have been used to dissect the …

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 …

Integrative mathematical oncology

ARA Anderson, V Quaranta - Nature Reviews Cancer, 2008 - nature.com
Cancer research attracts broad resources and scientists from many disciplines, and has
produced some impressive advances in the treatment and understanding of this disease …

Mathematical modeling of cancer: the future of prognosis and treatment

V Quaranta, AM Weaver, PT Cummings… - Clinica Chimica …, 2005 - Elsevier
BACKGROUND: Cancer research has undergone radical changes in the past few years.
Producing information both at the basic and clinical levels is no longer the issue. Rather …

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 …

Mathematical models of cancer: when to predict novel therapies, and when not to

R Brady, H Enderling - Bulletin of mathematical biology, 2019 - Springer
The number of publications on mathematical modeling of cancer is growing at an
exponential rate, according to PubMed records, provided by the US National Library of …

[图书][B] Cancer modelling and simulation

L Preziosi - 2003 - books.google.com
Understanding how cancer tumours develop and spread is vital for finding treatments and
cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and …

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 …

Exploiting ecological principles to better understand cancer progression and treatment

D Basanta, ARA Anderson - Interface focus, 2013 - royalsocietypublishing.org
A small but growing number of people are finding interesting parallels between ecosystems
as studied by ecologists (think of a savannah or the Amazon rainforest or a coral reef) 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 …