ArticleJournal of the Royal Society, Interface2017
Extinction rates in tumour public goods games.
Article in Journal of the Royal Society, Interface, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Article
- Stroma-Mediated Breast Cancer Cell Proliferation Indirectly Drives Chemoresistance by Accelerating Tumor Recovery between Chemotherapy Cycles.Cancer research · 2023Article
- The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review.Journal of the Royal Society, Interface · 2022Review
- Measuring competitive exclusion in non-small cell lung cancer.Science advances · 2022Article
- Weak Selection and the Separation of Eco-evo Time Scales using Perturbation Analysis.Bulletin of mathematical biology · 2022Article
- Autocrine signaling can explain the emergence of Allee effects in cancer cell populations.PLoS computational biology · 2022Article
- The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer.Dynamic games and applications · 2022Review
- Two-dimensional adaptive dynamics of evolutionary public goods games: finite-size effects on fixation probability and branching time.Royal Society open science · 2021Article
- Senescence-Induced Chemoresistance in Triple Negative Breast Cancer and Evolution-Based Treatment Strategies.Frontiers in oncology · 2021Review
- Optimal control to reach eco-evolutionary stability in metastatic castrate-resistant prostate cancer.PloS one · 2020Article
- Time scales and wave formation in non-linear spatial public goods games.PLoS computational biology · 2019Article
- Cancer cell population growth kinetics at low densities deviate from the exponential growth model and suggest an Allee effect.PLoS biology · 2019Article
- The 2019 mathematical oncology roadmap.Physical biology · 2019Review
- Neighborhood size-effects shape growing population dynamics in evolutionary public goods games.Communications biology · 2019Article
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Authors and funding
2 authors.
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Abstract
Cancer evolution and progression are shaped by cellular interactions and Darwinian selection. Evolutionary game theory incorporates both of these principles, and has been proposed as a framework to understand tumour cell population dynamics. A cornerstone of evolutionary dynamics is the replicator equation, which describes changes in the relative abundance of different cell types, and is able to predict evolutionary equilibria. Typically, the replicator equation focuses on differences in relative fitness. We here show that this framework might not be sufficient under all circumstances, as it neglects important aspects of population growth. Standard replicator dynamics might miss critical differences in the time it takes to reach an equilibrium, as this time also depends on cellular turnover in growing but bounded populations. As the system reaches a stable manifold, the time to reach equilibrium depends on cellular death and birth rates. These rates shape the time scales, in particular, in coevolutionary dynamics of growth factor producers and free-riders. Replicator dynamics might be an appropriate framework only when birth and death rates are of similar magnitude. Otherwise, population growth effects cannot be neglected when predicting the time to reach an equilibrium, and cell-type-specific rates have to be accounted for explicitly.
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