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Journal of Theoretical Biology
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Journal of Theoretical Biology
Article . 2017 . Peer-reviewed
License: Elsevier TDM
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Article . 2017
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Journal of Theoretical Biology
Article . 2017 . Peer-reviewed
http://dx.doi.org/10.1016/j.jt...
Article
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Spatial vs. non-spatial eco-evolutionary dynamics in a tumor growth model

Authors: You, Li; Brown, Joel S.; Thuijsman, Frank; Cunningham, Jessica J.; Gatenby, Robert A.; Zhang, Jingsong; Staňková, Kateřina;

Spatial vs. non-spatial eco-evolutionary dynamics in a tumor growth model

Abstract

Metastatic prostate cancer is initially treated with androgen deprivation therapy (ADT). However, resistance typically develops in about 1 year - a clinical condition termed metastatic castrate-resistant prostate cancer (mCRPC). We develop and investigate a spatial game (agent based continuous space) of mCRPC that considers three distinct cancer cell types: (1) those dependent on exogenous testosterone (T+), (2) those with increased CYP17A expression that produce testosterone and provide it to the environment as a public good (TP), and (3) those independent of testosterone (T-). The interactions within and between cancer cell types can be represented by a 3 × 3 matrix. Based on the known biology of this cancer there are 22 potential matrices that give roughly three major outcomes depending upon the absence (good prognosis), near absence or high frequency (poor prognosis) of T- cells at the evolutionarily stable strategy (ESS). When just two cell types coexist the spatial game faithfully reproduces the ESS of the corresponding matrix game. With three cell types divergences occur, in some cases just two strategies coexist in the spatial game even as a non-spatial matrix game supports all three. Discrepancies between the spatial game and non-spatial ESS happen because different cell types become more or less clumped in the spatial game - leading to non-random assortative interactions between cell types. Three key spatial scales influence the distribution and abundance of cell types in the spatial game: i. Increasing the radius at which cells interact with each other can lead to higher clumping of each type, ii. Increasing the radius at which cells experience limits to population growth can cause densely packed tumor clusters in space, iii. Increasing the dispersal radius of daughter cells promotes increased mixing of cell types. To our knowledge the effects of these spatial scales on eco-evolutionary dynamics have not been explored in cancer models. The fact that cancer interactions are spatially explicit and that our spatial game of mCRPC provides in general different outcomes than the non-spatial game might suggest that non-spatial models are insufficient for capturing key elements of tumorigenesis.

Country
Netherlands
Keywords

Male, GAME-THEORY, RESISTANT PROSTATE-CANCER, FITNESS, Carcinogenesis, ROCK-PAPER-SCISSORS, CONTINUOUS ANDROGEN DEPRIVATION, GLIOBLASTOMA, Evolutionary game theory, Cell Communication, THERAPY, spatial game, Models, Biological, Spatial game, Game Theory, DISPERSAL, Medical applications (general), non-spatial game, Humans, Testosterone, Neoplasm Metastasis, evolutionary game theory, COOPERATION, Cell Proliferation, Spatial Analysis, Prostate cancer, Prostatic Neoplasms, prostate cancer, Non-spatial game, INTRATUMOR HETEROGENEITY

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
58
Top 10%
Top 10%
Top 10%
hybrid