Journal of Mathematical Chemistry

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

Leading order asymptotics in the Goldbeter–Koshland switch

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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