Rewriting game theory as a foundation for state-based models of gene regulation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4210 LNBI, Issue , 2006, Pages 257-270

  Chettaoui, Chafika ^a   Delaplace, Franck ^a   Lescanne, Pierre ^b   Vestergaard, Mun'delanji ^c   Vestergaard, René ^c  

^a UNIVERSITY OF EVRY   (France)

^b UNIVERSITÉ DE LYON   (France)

^c JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FORMAL LOGIC; GENES; MATHEMATICAL MODELS; NEURAL NETWORKS;

GENE REGULATION; STATE-BASED MODELS;

GAME THEORY;

EID: 33845191045     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11885191_18     Document Type: Conference Paper

References (21)

1. G. Bernot, Cassez, J.P. G. Comet, F. Delaplace, G. Mller, O. Roux, and Roux O.(H.). Semantics of biological regulatory networks. In Workshop on Concurrent Models in Molecular Biology (BioConcur 2003), 2003.
2. Walter Bradford Cannon. The Wisdom of the Body. W. W. Norton, New York, 1932.
3. Claudine Chaouiya, Elizabeth Remy, and Denis Thieffry. Petri net modelling of biological regulatory networks. Proceedings of CMSB-3, 2005.
4. Hidde de Jong. Modeling and simulation of genetic regulatory systems: A literature review. Journal of Computational Biology, 9(1):67-103, 2002.
5. Stuart A. Kauffman. Metabolic stability and epigenisis in randomly constructed genetic nets. Journal of Theoretical Biology, 22:437-467, 1969.
6. Stuart A. Kauffman. The Origins of Order: Self-Organization and Selection in Evolution. Oxford University Press, 1993.
7. Harold W. Kuhn. Extensive games and the problem of information. Contributions to the Theory of Games II, 1953. Reprinted in [8].
8. Harold W. Kuhn, editor. Classics in Game Theory. Princeton Uni. Press, 1997.
9. R. B. Myerson. Game Theory : Analysis of Conflict. Harvard University Press, 1991.
10. John F. Nash. Equilibrium points in n-person games. Proceedings of the National Academy of Sciences, 36, 1950. Reprinted in [8].
11. John F. Nash. Non-Cooperative Games. PhD thesis, Princeton University, 1950.
12. John F. Nash. Non-cooperative games. Annals of Mathematics, 54, 1951. Reprinted in [8]; published version of [11].
13. M. J. Osborne. An introduction to game theory. Oxford University Press, 2003.
14. Stéphane Le Roux, Pierre Lescanne, and René Vestergaard. A discrete Nash theorem with quadratic complexity and dynamic equilibria. Research Report IS-RR-2006-006, JAIST, May 2006.
15. J. Senachak, M. Vestergaard, and R. Vestergaard. Rewriting game theory applied to protein signalling in MAPK cascades. Research Report IS-RR-2006-007, JAIST, May 2006.
16. Alfred Tarski. A lattice-theoretical fixpoint theorem and its applications. Pacific Journal of Mathematics, 5:285-309, 1955.
17. R. Thomas and M. Kaufman. Multistationarity, the basis of cell differentiation and memory II: Logical analysis of regulatory networks in terms of feedback circuits. Chaos, 11(1):180-195, 2001.
18. René Thomas. Boolean formalization of genetic control circuits. Journal of Theoretical Biology, 42(3):563-585, 1973.
19. René Thomas, Denis Thieffry, and Marcelle Kaufman. Dynamical behaviour of biological regulatory networks I: Biological role of feedback loops and practical use of the concept of the loop-characteristic state. Bulletin of Mathematical Biology, 57:247-276, 1995.
20. René Vestergaard. A constructive approach to sequential Nash equilibria. Information Processing Letters, 97:46-51, 2006.
21. James D. Watson, Tania A. Baker, Stephen P. Bell, Alexander Gann, Michael Levine, and Richard Losick. Molecular Biology of the Gene, 5th edition. The Benjamin/Cummings Publishing Company, 2004.