Abstract
Two strains of microorganisms that both use sugar as energy resource, but which may choose between two different pathways of ATP production, are studied from a game-theory point of view. We consider these pathways as distinct strategies to which we assign payoffs that are proportional to the expected steady-state number of individuals sustainable on the basis of these strategies. In a certain parameter range, we find that the payoffs fulfil the conditions for the prisoner's dilemma. Therefore, cooperative behaviour is unlikely to occur, unless additional factors intervene. In fact, the yeast Saccharomyces cerevisiae uses a competitive strategy by fermenting sugars even under aerobic conditions, thus wasting its own resource. The simple quantifiable structure of the model should enable access to an experimentally determined payoff matrix.
References
Axelrod R (1984) The evolution of cooperation. Basic Books, New York
Cushing JM (1986) Periodic Lotka-Volterra competition equations. J Math Biol 24:381–403
Dugatkin LA, Mesterton-Gibbons M (1996) Cooperation among unrelated individuals: reciprocal altruism, by-product mutualism and group selection in fishes. BioSystems 37:19–30
Flores CL, Rodriguez C, Petit T, Ganzedo C (2000) Carbohydrate and energy-yielding metabolism in non-conventional yeasts. FEMS Microb Rev 24:507–529
Fogel DB (ed) (1996) Special issue on the prisoner's dilemma. BioSystems 37(1–2)
Goffrini P, Ferrero I, Donnini C (2002) Respiration-dependent utilization of sugars in yeasts: a determinant role for sugar transporters. J Bacteriol 184:427–432
Guppy M, Leedman P, Zu X, Russell V (2002) Contribution by different fuels and metabolic pathways to the total ATP turnover of proliferating MCF-7 breast cancer cells. Biochem J 364:309–315
Hauert C, De Monte, S, Hofbauer J, Sigmund K (2002) Volunteering as red queen mechanism for cooperation in public goods games. Science 296:1129–1132
Heinrich R, Schuster S (1996) The regulation of cellular systems. Chapman and Hall, New York
Hofbauer J, Sigmund K (1998) Evolutionary games and population dynamics. Cambridge University Press, Cambridge
Kappler O, Janssen PH, Kreft JU, Schink B (1997) Effects of alternative methyl group acceptors on the growth energetics of the O-demethylating anaerobe Holophaga foetida. Microbiology 143:1105–1114
Lehninger AL, Nelson DL, Cox MM (2000) Principles of Biochemistry, 3rd edn. Worth, London
Lu H, Forbes RA, Verma A (2002) Hypoxia-inducible factor 1α activation by aerobic glycolysis implicates the Warburg effect in carcinogenesis. J Biol Chem 277:23111–23115
Maynard-Smith J (1983) Game theory and the evolution of cooperation. In: Bendall DS (ed) Evolution from molecules to men. Cambridge University Press, Cambridge
Murray JD (2002) Mathematical Biology, vol I. Springer, Berlin Heidelberg New York
Nowak MA, May RM (1992) Evolutionary games and spatial chaos. Nature 359:826–829
Nowak MA, Sigmund K (1999) Phage-lift for game theory. Nature 398:367–368
Pfeiffer T, Bonhoeffer S (2002) Evolutionary consequences of tradeoffs between yield and rate of ATP production. Z Phys Chem 216:51–63
Pfeiffer T, Bonhoeffer S (2003) An evolutionary scenario for the transition to undifferentiated multicellularity. Proc Natl Acad Sci USA 100:1095–1098
Pfeiffer T, Schuster S, Bonhoeffer S (2001) Cooperation and competition in the evolution of ATP-producing pathways. Science 292:504–507
Schuster S, Fell DA, Dandekar T (2000) A general definition of metabolic pathways useful for systematic organization and analysis of complex metabolic networks. Nat Biotechnol 18:326–332
Turner PE, Chao L (1999) Prisoner's dilemma in an RNA virus. Nature 398:441–443
Van Hoek P, Flikweert MT, Aart QJM van der, Steensma HY, Dijken JP van, Pronk JT (1998) Effects of pyruvate decarboxylase overproduction on flux distribution at the pyruvate branch point in Saccharomyces cerevisiae. Appl Environ Microbiol 64:2133–2140
Acknowledgements
We would like to thank Thomas Pfeiffer (Zürich), Dr. Konrad Oexle (Singen) and Dr. W. Voelter (Tübingen) for stimulating discussions. Financial support to S.S. by the Deutsche Forschungsgemeinschaft is gratefully acknowledged.
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Frick, T., Schuster, S. An example of the prisoner's dilemma in biochemistry. Naturwissenschaften 90, 327–331 (2003). https://doi.org/10.1007/s00114-003-0434-3
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DOI: https://doi.org/10.1007/s00114-003-0434-3