Journal of Mathematical Chemistry

, Volume 51, Issue 5, pp 1300–1309 | Cite as

Leading order asymptotics in the Goldbeter–Koshland switch

  • Guido Dell’Acqua
Original Paper


An asymptotic analysis at leading order of the Goldbeter–Koshland switch, the simplest futile cycle, is carried out in detail. After a nondimensionalization of the problem, we find the leading order uniform expansions of the reactants, identifying the proper time scales in a total setting. Comparison with numerical integration confirms the goodness of our analysis.


Asymptotic expansions Systems biology Enzyme kinetics 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Dipartimento di Scienze di Base e Applicate per l’Ingegneria (S.B.A.I.)“Sapienza” University of RomeRomeItaly

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