Cooperation among cancer cells as public goods games on Voronoi networks

Archetti, Marco

doi:10.1016/j.jtbi.2016.02.027

Cited by 25 publications

(33 citation statements)

References 66 publications

(77 reference statements)

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“…happen locally, will be more faithful to nature. The standard way to represent spatial structure in game theory is to assign players to nodes in a graph as was done in Archetti [47]. This approach might be most applicable to environments such as biofilms.…”

Section: Discussionmentioning

confidence: 99%

“…This is the (in)famous Prisoner's Dilemma. However, when essentially the same situation has been discussed in the context of cancer [39,42,47], a completely opposite view has been adopted. Here, fermentation was seen as the cooperation strategy.…”

Section: Discussionmentioning

confidence: 99%

“…The model presented in Archetti [46] was expanded on in Archetti [47] by introducing a spatial component. In this model, cells are placed in the nodes of a Voronoi graph.…”

Section: Public Goodsmentioning

confidence: 99%

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Metabolic Games

Pusa

Wannagat

Sagot

2019

Front. Appl. Math. Stat.

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Metabolic networks have been used to successfully predict phenotypes based on optimization principles. However, a general framework that would extend to situations not governed by simple optimization, such as multispecies communities, is still lacking. Concepts from evolutionary game theory have been proposed to amend the situation. Alternative metabolic states can be seen as strategies in a "metabolic game," and phenotypes can be predicted based on the equilibria of this game. In this survey, we review the literature on applying game theory to the study of metabolism, present the general idea of a metabolic game, and discuss open questions and future challenges.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Metabolic Games

Pusa

Wannagat

Sagot

2019

Front. Appl. Math. Stat.

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“…The production of growth factors by cancer cells therefore is an example of intra-tumor cooperation and can be studied in the framework of evolutionary game theory. Concepts from game theory have been used to describe competition between cancer cells as pairwise games [3,4] with up to four strategies [5][6][7][8][9], and more recently as multiplayer public goods games to model the interactions between different clones within a tumor in well-mixed populations [10,11], in spatially structured populations that resemble monolayers in vitro [12][13][14], and to analyse the Warburg effect [15][16][17][18]; experiments with cancer cells have been used to test the theory [2].…”

Section: From Intra-tumor Cooperation To Tumor-stroma Interactionsmentioning

confidence: 99%

Game Theory of Tumor–Stroma Interactions in Multiple Myeloma: Effect of Nonlinear Benefits

Sartakhti

Manshaei

Archetti

2018

Games

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Cancer cells and stromal cells often exchange growth factors with paracrine effects that promote cell growth: a form of cooperation that can be studied by evolutionary game theory. Previous models have assumed that interactions between cells are pairwise or that the benefit of a growth factor is a linear function of its concentration. Diffusible factors, however, affect multiple cells and generally have nonlinear effects, and these differences are known to have important consequences for evolutionary dynamics. Here, we study tumor-stroma paracrine signaling using a model with multiplayer collective interactions in which growth factors have nonlinear effects. We use multiple myeloma as an example, modelling interactions between malignant plasma cells, osteoblasts, and osteoclasts. Nonlinear benefits can lead to results not observed in linear models, including internal mixed stable equilibria and cyclical dynamics. Models with linear effects, therefore, do not lead to a meaningful characterization of the dynamics of tumor-stroma interactions. To understand the dynamics and the effect of therapies it is necessary to estimate the shape of the benefit functions experimentally and parametrize models based on these functions.

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“…There are many evidences that demonstrate spatial effects can influence the evolutionary dynamics of the public goods game [22, 24, 25]. More precisely, diffusing the public goods (e.g., pro-angiogenic signals) are influenced by the structure of the population that impact it through space [26–30].…”

Section: Introductionmentioning

confidence: 99%

Evolutionary emergence of angiogenesis in avascular tumors using a spatial public goods game

Sartakhti¹,

Manshaei²,

Basanta³

et al. 2017

PLoS ONE

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Natural selection in cancer often results in the emergence of increasingly malignant tumor cells that display many if not all of the hallmarks of cancer. One of the most important traits acquired during cancer progression is angiogenesis. Tumor cells capable of secreting pro-angiogenic factors can be seen as cooperators where the improved oxygenation, nutrient delivery and waste disposal resulting from angiogenesis could be seen as a public good. Under this view, the relatively costly secretion of molecular signals required to orchestrate angiogenesis would be undertaken exclusively by cooperating tumor cells but the benefits of angiogenesis would be felt by neighboring tumor cells regardless of their contribution to the process. In this work we detail a mathematical model to better understand how clones capable of secreting pro-angiogenic factors can emerge in a tumor made of non-cooperative tumor cells. Given the importance of the spatial configuration of the tumor in determining the efficacy of the secretion of pro-angiogenic factors as well as the benefits of angiogenesis we have developed a spatial game theoretic approach where interactions and public good diffusion are described by graphs. The results show that structure of the population affects the evolutionary dynamics of the pro-angiogenic clone. Specifically, when the benefit of angiogenesis is represented by sigmoid function with regards to the number of pro-angiogenic clones then the probability of the coexistence of pro-angiogenic and angiogenesis-neutral clones increases. Our results demonstrate that pro-angiogenic clone equilibrates into clusters that appear from surrounding vascular tissues towards the center of tumor. These clusters appear notably less dense after anti-angiogenic therapy.

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Cooperation among cancer cells as public goods games on Voronoi networks

Cited by 25 publications

References 66 publications

Metabolic Games

Metabolic Games

Game Theory of Tumor–Stroma Interactions in Multiple Myeloma: Effect of Nonlinear Benefits

Evolutionary emergence of angiogenesis in avascular tumors using a spatial public goods game

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