Open AccessApplication of evolutionary games to modeling carcinogenesis
Author(s) -
Andrzej Świerniak,
Michał Krześlak
Publication year - 2013
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2013.10.873
Subject(s) - carcinogenesis , evolutionary dynamics , dynamics (music) , production (economics) , motility , computer science , biology , cancer , psychology , economics , sociology , microbiology and biotechnology , population , genetics , microeconomics , pedagogy , demography
We review a quite large volume of literature concerning mathematical modelling of processes related to carcinogenesis and the growth of cancer cell populations based on the theory of evolutionary games. This review, although partly idiosyncratic, covers such major areas of cancer-related phenomena as production of cytotoxins, avoidance of apoptosis, production of growth factors, motility and invasion, and intra- and extracellular signaling. We discuss the results of other authors and append to them some additional results of our own simulations dealing with the possible dynamics and/or spatial distribution of the processes discussed.