Game theoretical model of cancer dynamics with four cell phenotypes
type: Item
instance of: scholarly article
title: Game theoretical model of cancer dynamics with four cell phenotypes
zbMATH Open document ID: 1418.91081
author: Elena Hurlbut
author: Ethan Ortega
author: Igor V. Erovenko
author: Jonathan T. Rowell
published in: Games
publication date: 2018-12-10T00:00:00Z
review text: Summary: The development of a cancerous tumor requires affected cells to collectively display an assortment of characteristic behaviors that contribute differently to its growth. A heterogeneous population of tumor cells is far more resistant to treatment than a homogeneous one as different cell types respond dissimilarly to treatments; yet, these cell types are also in competition with one another. This paper models heterogeneous cancer cell interactions within the tumor mass through several game theoretic approaches including classical normal form games, replicator dynamics, and spatial games. Our concept model community consists of four cell strategies: an angiogenesis-factor-producing cell, a proliferative cell, a cytotoxin producing cell, and a neutral stromal cell. By comparing pairwise strategic interactions, invasibility and counter-invasibility, we establish conditions for dominance and the existence of both monomorphic and polymorphic equilibria. The spatial game supports co-occurrence among multiple subpopulations in accordance with biological observations of developing tumors. As the tumor progresses from primarily stromal cells to a more malignant state, angiogenic and cytotoxic cells form clusters while proliferative cells are widespread. The clustering of certain subpopulations suggests insight into the behaviors of cancer cells that could influence future treatment strategies.
Mathematics Subject Classification ID: 91A22
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 92C37
zbMATH DE Number: 6991175
zbMATH Keywords: evolutionary game theory
zbMATH Keywords: cancer
zbMATH Keywords: replicator dynamics
zbMATH Keywords: spatial dynamics
zbMATH Keywords: heterogeneous populations
zbMATH Keywords: biomathematical modeling
MaRDI profile type: Publication
full work available at URL: g9030061
OpenAlex ID: W2888850763
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Wikidata QID: Q129302775
DOI: 10.3390/G9030061
description: scientific article; zbMATH DE number 6991175