A survey of open questions in adaptive therapy: Bridging mathematics and clinical translation

J West, F Adler, J Gallaher, M Strobl, R Brady-Nicholls… - Elife, 2023 - elifesciences.org
Adaptive therapy is a dynamic cancer treatment protocol that updates (or 'adapts') treatment
decisions in anticipation of evolving tumor dynamics. This broad term encompasses many …

The contribution of evolutionary game theory to understanding and treating cancer

B Wölfl, H Te Rietmole, M Salvioli… - Dynamic Games and …, 2022 - Springer
Evolutionary game theory mathematically conceptualizes and analyzes biological
interactions where one's fitness not only depends on one's own traits, but also on the traits of …

Spatial structure governs the mode of tumour evolution

R Noble, D Burri, C Le Sueur, J Lemant… - Nature ecology & …, 2022 - nature.com
Characterizing the mode—the way, manner or pattern—of evolution in tumours is important
for clinical forecasting and optimizing cancer treatment. Sequencing studies have inferred …

Stackelberg evolutionary games of cancer treatment: What treatment strategy to choose if cancer can be stabilized?

M Salvioli, H Garjani, M Satouri, M Broom… - Dynamic Games and …, 2024 - Springer
We present a game-theoretic model of a polymorphic cancer cell population where the
treatment-induced resistance is a quantitative evolving trait. When stabilization of the tumor …

Designing experimental conditions to use the Lotka–Volterra model to infer tumor cell line interaction types

H Cho, AL Lewis, KM Storey, HM Byrne - Journal of Theoretical Biology, 2023 - Elsevier
Abstract The Lotka–Volterra model is widely used to model interactions between two
species. Here, we generate synthetic data mimicking competitive, mutualistic and …

Integration of quantitative methods and mathematical approaches for the modeling of cancer cell proliferation dynamics

M Cotner, S Meng, T Jost, A Gardner… - … of Physiology-Cell …, 2023 - journals.physiology.org
Physiological processes rely on the control of cell proliferation, and the dysregulation of
these processes underlies various pathological conditions, including cancer. Mathematical …

Study on the mechanism of Fufang E'jiao Jiang on precancerous lesions of gastric cancer based on network pharmacology and metabolomics

W Shi, Z Wang, H Liu, Y Jia, Y Wang, X Xu… - Journal of …, 2023 - Elsevier
Ethnopharmacological relevance Fufang E'jiao Jiang (FEJ) is a prominent traditional
Chinese medicine prescription, which consists of Asini Corii Colla (Donkey-hide gelatin …

Clonal interactions in cancer: Integrating quantitative models with experimental and clinical data

ND Lee, K Kaveh, I Bozic - Seminars in Cancer Biology, 2023 - Elsevier
Tumors consist of different genotypically distinct subpopulations—or subclones—of cells.
These subclones can influence neighboring clones in a process called “clonal interaction.” …

Validation of polymorphic Gompertzian model of cancer through in vitro and in vivo data

A Soboleva, A Kaznatcheev, R Cavill, K Schneider… - PloS one, 2025 - journals.plos.org
Mathematical modeling plays an important role in our understanding and targeting therapy
resistance mechanisms in cancer. The polymorphic Gompertzian model, analyzed …

Games and the treatment convexity of cancer

P Bayer, J West - Dynamic Games and Applications, 2023 - Springer
Evolutionary game theory has been highly valuable in studying frequency-dependent
selection and growth between competing cancer phenotypes. We study the connection …