Department of Automatic Control, Silesian University of Technology, 44-101 Gliwice, Poland.
Math Biosci Eng. 2013 Jun;10(3):873-911. doi: 10.3934/mbe.2013.10.873.
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.
我们回顾了相当大量的文献，这些文献涉及基于进化博弈论的致癌过程和癌细胞群体生长的数学建模。虽然本综述在某种程度上具有特殊性，但涵盖了与癌症相关现象的主要领域，如细胞毒素的产生、避免细胞凋亡、生长因子的产生、运动和侵袭以及细胞内外信号转导。我们讨论了其他作者的结果，并附加了一些我们自己的模拟结果，这些结果涉及讨论过程的可能动力学和/或空间分布。
