Application of evolutionary games to modeling carcinogenesis
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 a...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-03-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.873 |
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| _version_ | 1832590149414813696 |
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| author | Andrzej Swierniak Michal Krzeslak |
| author_facet | Andrzej Swierniak Michal Krzeslak |
| author_sort | Andrzej Swierniak |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cc348bb5638c413c88f74a22ea6fb748 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cc348bb5638c413c88f74a22ea6fb7482025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110387391110.3934/mbe.2013.10.873Application of evolutionary games to modeling carcinogenesisAndrzej Swierniak0Michal Krzeslak1Department of Automatic Control, Silesian University of Technology, 44-101 GliwiceDepartment of Automatic Control, Silesian University of Technology, 44-101 GliwiceWe 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.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.873biomathematical modelingtumorigenesiscellular automataevolutionary gamespolymorphism. |
| spellingShingle | Andrzej Swierniak Michal Krzeslak Application of evolutionary games to modeling carcinogenesis Mathematical Biosciences and Engineering biomathematical modeling tumorigenesis cellular automata evolutionary games polymorphism. |
| title | Application of evolutionary games to modeling carcinogenesis |
| title_full | Application of evolutionary games to modeling carcinogenesis |
| title_fullStr | Application of evolutionary games to modeling carcinogenesis |
| title_full_unstemmed | Application of evolutionary games to modeling carcinogenesis |
| title_short | Application of evolutionary games to modeling carcinogenesis |
| title_sort | application of evolutionary games to modeling carcinogenesis |
| topic | biomathematical modeling tumorigenesis cellular automata evolutionary games polymorphism. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.873 |
| work_keys_str_mv | AT andrzejswierniak applicationofevolutionarygamestomodelingcarcinogenesis AT michalkrzeslak applicationofevolutionarygamestomodelingcarcinogenesis |