Vol. 11, No. 4, 2018

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Modeling of breast cancer through evolutionary game theory

Ke’Yona Barton, Corbin Smith, Jan Rychtář and Tsvetanka Sendova

Vol. 11 (2018), No. 4, 541–548

We present a simple mathematical model of the development and progression of breast cancer based on evolutionary game theory. Four types of cellular populations are considered: stromal (native) cells, macrophages, benign tumor cells, and motile (malignant) tumor cells. Despite the relative simplicity of the model, it provides a way to explore the interactions between the various cell types and suggests potential approaches to managing and treating cancer.

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evolutionary game theory, mathematical modeling, breast cancer
Mathematical Subject Classification 2010
Primary: 91A22
Secondary: 91A40
Received: 13 January 2015
Revised: 8 July 2017
Accepted: 20 July 2017
Published: 15 January 2018

Communicated by Kenneth S. Berenhaut
Ke’Yona Barton
Bennett College
Greensboro, NC
% 27401
United States
Corbin Smith
Bennett College
Greensboro, NC
% 27401
United States
Jan Rychtář
Department of Mathematics and Statistics
The University of North Carolina at Greensboro
Greensboro, NC
% 27412
United States
Tsvetanka Sendova
Department of Mathematics
Michigan State University
East Lansing, MI
% 48823
United States