Title
Isomatrix: A Framework To Visualize The Isoclines Of Matrix Games And Quantify Uncertainty In Structured Populations
Abstract
A Summary: Evolutionary game theory describes frequency-dependent selection for fixed, heritable strategies in a population of competing individuals using a payoff matrix. We present a software package to aid in the construction, analysis and visualization of three-strategy matrix games. The IsoMaTrix package computes the isoclines (lines of zero growth) of matrix games, and facilitates direct comparison of well-mixed dynamics to structured populations on a lattice grid. IsoMaTrix computes fixed points, phase flow, trajectories, (sub)velocities and uncertainty quantification for stochastic effects in spatial matrix games. We describe a result obtained via IsoMaTrix's spatial games functionality, which shows that the timing of competitive release in a cancer model (under continuous treatment) critically depends on the initial spatial configuration of the tumor.
Year
DOI
Venue
2021
10.1093/bioinformatics/btaa1025
BIOINFORMATICS
DocType
Volume
Issue
Journal
36
22-23
ISSN
Citations 
PageRank 
1367-4803
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
jeffrey west111.04
Yongqian Ma200.34
Artem Kaznatcheev3175.02
Alexander R. A. Anderson43610.26