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A Game Theoretical Perspective on the Somatic Evolution of cancer

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Selected Topics in Cancer Modeling

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References

  1. P.C. Nowell. The clonal evolution of tumor cell populations.Science, 4260, 194:23–28, 1976.

    Article  Google Scholar 

  2. B. Crespi and K. Summers. Evolutionary biology of cancer.Tr. Ecol. Evol., 20(10):545–52, Oct. 2005.

    Google Scholar 

  3. L. Merlo, J. Pepper, B. Reid, and C. Maley. Cancer as an evolutionary and ecological process.Nat. Rev. Cancer, 6:924–935, Dec. 2006.

    Article  Google Scholar 

  4. K. Sigmund and M. Nowak. Evolutionary game theory.Curr. Biol., 9:503–5, 1999.

    Article  Google Scholar 

  5. R. Gatenby and P. Maini. Cancer summed up.Nature, 421:321, Jan. 2003.

    Article  Google Scholar 

  6. D. Hanahan and R. Weinberg. The hallmarks of cancer.Cell, 100:57–70, Jan. 2000.

    Article  Google Scholar 

  7. W.C. Hahn and R. Weinberg. Rules for making human tumor cells.N. Eng. J. Med., 347(20):1593–1603, Nov. 2002.

    Article  Google Scholar 

  8. J. von Neumann and O. Morgernstern.Theory of games and economic behaviour. Princeton University Press, Princeton, NJ, 1953.

    Google Scholar 

  9. M. Nowak.Evolutionary dynamics. Belknap, Cambridge, MA, 2006.

    MATH  Google Scholar 

  10. M. Merston-Gibbons.An introduction to game-theoretic modelling. AMS, 2nd edition, Providence, RI, 2000.

    Google Scholar 

  11. J. Maynard Smith.Evolution and the theory of games. Cambridge University Press, Cambridge, 1982.

    MATH  Google Scholar 

  12. R.A. Fisher.The genetical theory of natural selection. Clarendon, Oxford, 1930.

    MATH  Google Scholar 

  13. J. Maynard Smith and D. Harper.Animal signals. Oxford University Press, Oxford, 2003.

    Google Scholar 

  14. I.P.M. Tomlinson and W.F. Bodmer. Modelling the consequences of interactions between tumour cells.Brit. J. Cancer, 75(2):157–60, 1997.

    Google Scholar 

  15. I.P.M. Tomlinson. Game theory models of interactions between tumour cells. Eur. J. Cancer, Vol 33, N9, pp. 1495–1500, 1997.

    Article  MathSciNet  Google Scholar 

  16. R. Gatenby and T. Vincent. An evolutionary model of carcinogenesis.Cancer Res., 63:6212–6220, Oct. 2003.

    Google Scholar 

  17. O. Warburg.The metabolism of tumors (English translation by F. Dickens). Constable, London, 1930.

    Google Scholar 

  18. R.A. Gatenby and E.T. Gawlinski. The glycolytic phenotype in carcinogenesis and tumor invasion. Cancer Res. 63, 3847–3854, July 15, 2003.

    Google Scholar 

  19. R. Gatenby and R. J. Gillies. Why do cancers have high aerobic glycolysis?Nat. Rev. Cancer, 4:891–899, 2004.

    Article  Google Scholar 

  20. R. Gatenby, E. Gawlinski, A. Gmitro, B. Kaylor, and R. Gillies. Acid-mediated tumor invasion: a multidisciplinary study.Cancer Res., 66(10):5216–23, May 2006.

    Google Scholar 

  21. J. Folkman. The role of angiogenesis in tumor growth.Semin. Cancer Biol., 3:65–71, 1992.

    Google Scholar 

  22. L.A. Bach, S.M. Bentzen, J. Alsner, and F.B. Christiansen. An evolutionary game model of tumour cell interactions: possible relevance to gene therapy.Eur. Jour. Cancer, 37:2116–2120, 2001.

    Article  Google Scholar 

  23. L.A. Bach, D.J.T. Sumpter, J. Alsner, and V. Loeschke. Spatial evolutionary games of interaction among generic cancer cells.Jour. Theo. Med., 5(1):47–58, 2003.

    Article  MATH  Google Scholar 

  24. M. Nowak and R. May. Evolutionary games and spatial chaos.Nature, 18(359):826–29, 1992.

    Article  Google Scholar 

  25. Y. Mansury and T. Deisboeck. The impact of ‘search-precision’ in an agent based tumor model.Jour. Theo. Biol., 224:325–337, 2003.

    Article  MathSciNet  Google Scholar 

  26. Y. Mansury, M. Diggory, and T.S. Deisboeck. Evolutionary game theory in an agent based brain tumor model: exploring the genoype phenotype link.Jour. Theo. Biol., 238:146–156, 2006.

    Article  MathSciNet  Google Scholar 

  27. D. Basanta, M. Simon, H. Hatzikirou, and A. Deutsch. An evolutionary game theory perspective elucidates the role of glycolysis in tumour invasion. Submitted to Cell Proliferation, 2008.

    Google Scholar 

  28. F. Hoppensteadt.Mathematical methods of population biology. Cambridge University Press, Cambridge, MA, 1982.

    MATH  Google Scholar 

  29. T. Vincent. Carcinogenesis as an evolutionary game.Adv. in Compl. Sys., 9(4):369–382, 2006.

    Article  MATH  MathSciNet  Google Scholar 

  30. T. Vincent and R. Gatenby. Somatic evolution of cancer.Int. Game Th. Rev., 9(4), 2007.

    Google Scholar 

  31. R. Axelrod and W. Hamilton. The evolution of cooperation.Science, 211:1390–1396, 1981.

    Article  MathSciNet  Google Scholar 

  32. R. Axelrod, D. Axelrod, and K. Pienta. Evolution of cooperation among tumor cells.PNAS, 103(36):13474–79, Sept. 2006.

    Article  Google Scholar 

  33. C. Park, M. Bissell, and M. Barcellos-Hoff. The influence of the microenvironment on the malignant phenotype.Mol. Med. Today, 6:324–329, Aug. 2000.

    Article  Google Scholar 

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Authors and Affiliations

  1. Technische Universität Dresden, Zentrum für Informationsdienste und Hochleistungsrechnen, Nöthnitzer-str. 46, 01187, Dresden, Germany

    David Basanta & Andreas Deutsch

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  1. David Basanta
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  2. Andreas Deutsch
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Correspondence to David Basanta .

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Basanta, D., Deutsch, A. (2008). A Game Theoretical Perspective on the Somatic Evolution of cancer. In: Selected Topics in Cancer Modeling. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4713-1_5

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