Multidimensional extended spatial evolutionary games

Michał Krześlak; Andrzej Świerniak

doi:10.1016/j.compbiomed.2015.08.003

Multidimensional extended spatial evolutionary games

Comput Biol Med. 2016 Feb 1:69:315-27. doi: 10.1016/j.compbiomed.2015.08.003. Epub 2015 Aug 14.

Authors

Michał Krześlak¹, Andrzej Świerniak²

Affiliations

¹ Silesian University of Technology, Department of Automatic Control, Control 44-100 Gliwice, ul. Akademicka 16, Gliwice, Poland. Electronic address: krzeslak.michal@gmail.com.
² Silesian University of Technology, Department of Automatic Control, Control 44-100 Gliwice, ul. Akademicka 16, Gliwice, Poland. Electronic address: andrzej.swierniak@polsl.pl.

PMID: 26318169
DOI: 10.1016/j.compbiomed.2015.08.003

Abstract

The goal of this paper is to study the classical hawk-dove model using mixed spatial evolutionary games (MSEG). In these games, played on a lattice, an additional spatial layer is introduced for dependence on more complex parameters and simulation of changes in the environment. Furthermore, diverse polymorphic equilibrium points dependent on cell reproduction, model parameters, and their simulation are discussed. Our analysis demonstrates the sensitivity properties of MSEGs and possibilities for further development. We discuss applications of MSEGs, particularly algorithms for modelling cell interactions during the development of tumours.

Keywords: Biomathematical modeling; Cellular automata; Evolutionary games; Polymorphism; Sensitivity.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Algorithms*
Biological Evolution*
Cell Division*
Models, Biological*