Abstract

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 others. Typically, the individuals are not overtly rational and do not select, but rather inherit their traits. Cancer can be framed as such an evolutionary game, as it is composed of cells of heterogeneous types undergoing frequency-dependent selection. In this article, we first summarize existing works where evolutionary game theory has been employed in modeling cancer and improving its treatment. Some of these game-theoretic models suggest how one could anticipate and steer cancer’s eco-evolutionary dynamics into states more desirable for the patient via evolutionary therapies. Such therapies offer great promise for increasing patient survival and decreasing drug toxicity, as demonstrated by some recent studies and clinical trials. We discuss clinical relevance of the existing game-theoretic models of cancer and its treatment, and opportunities for future applications. Moreover, we discuss the developments in cancer biology that are needed to better utilize the full potential of game-theoretic models. Ultimately, we demonstrate that viewing tumors with evolutionary game theory has medically useful implications that can inform and create a lockstep between empirical findings and mathematical modeling. We suggest that cancer progression is an evolutionary competition between different cell types and therefore needs to be viewed as an evolutionary game.

Highlights

  • Cancer is a disease of unregulated proliferation, caused by abnormal function of genes responsible for regulating cell division

  • The genesis of cancer has strong ties to human life history [6,70,93,94,179], and its progression is driven by natural selection, characterized by cancer cells exhibiting the following three conditions [58]: 1. The presence of heritable variation: Heritable traits vary among different cancer cells, as a result of genetic mutations, epigenetics, chromosomal re-arrangements and other mechanisms associated with genetic instability

  • If we see cancer as a Darwinian process, it can be described as an evolutionary game, where cancer cells are the players, their heritable traits correspond to the strategies, and the payoffs are represented in terms of survival and proliferation [38,129]

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Summary

Introduction

Cancer is a disease of unregulated proliferation, caused by abnormal function of genes responsible for regulating cell division. The genesis of cancer has strong ties to human life history [6,70,93,94,179], and its progression is driven by natural selection, characterized by cancer cells exhibiting the following three conditions [58]: 1. The presence of heritable variation: Heritable traits vary among different cancer cells, as a result of genetic mutations, epigenetics, chromosomal re-arrangements and other mechanisms associated with genetic instability The genesis of cancer has strong ties to human life history [6,70,93,94,179], and its progression is driven by natural selection, characterized by cancer cells exhibiting the following three conditions [58]: 1. The presence of heritable variation: Heritable traits vary among different cancer cells, as a result of genetic mutations, epigenetics, chromosomal re-arrangements and other mechanisms associated with genetic instability

The influence of heritable variation on the struggle for existence
Mathematical Background
Replicator Dynamics with Fitness Matrix
Estimating Parameters of the Fitness Matrix
Replicator Dynamics with Nonlinear Fitness Functions
Lotka–Volterra Models
Spatial Game-Theoretic Models and Related Work
Game Theory of Cancer Treatment
Section 3.1 –
Physician Steering Cancer into an ESS
Clinical Relevance
Discussion
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