A survey of open questions in adaptive therapy: Bridging mathematics and clinical translation
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 …
decisions in anticipation of evolving tumor dynamics. This broad term encompasses many …
The contribution of evolutionary game theory to understanding and treating cancer
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 …
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
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 …
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?
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 …
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
Abstract The Lotka–Volterra model is widely used to model interactions between two
species. Here, we generate synthetic data mimicking competitive, mutualistic and …
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
Physiological processes rely on the control of cell proliferation, and the dysregulation of
these processes underlies various pathological conditions, including cancer. Mathematical …
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 …
Chinese medicine prescription, which consists of Asini Corii Colla (Donkey-hide gelatin …
Clonal interactions in cancer: Integrating quantitative models with experimental and clinical data
Tumors consist of different genotypically distinct subpopulations—or subclones—of cells.
These subclones can influence neighboring clones in a process called “clonal interaction.” …
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
Mathematical modeling plays an important role in our understanding and targeting therapy
resistance mechanisms in cancer. The polymorphic Gompertzian model, analyzed …
resistance mechanisms in cancer. The polymorphic Gompertzian model, analyzed …
Games and the treatment convexity of cancer
Evolutionary game theory has been highly valuable in studying frequency-dependent
selection and growth between competing cancer phenotypes. We study the connection …
selection and growth between competing cancer phenotypes. We study the connection …