Articles | Volume 8, issue 12
Geosci. Model Dev., 8, 3823–3835, 2015
Geosci. Model Dev., 8, 3823–3835, 2015

Development and technical paper 01 Dec 2015

Development and technical paper | 01 Dec 2015

On the relationships between the Michaelis–Menten kinetics, reverse Michaelis–Menten kinetics, equilibrium chemistry approximation kinetics, and quadratic kinetics

J. Y. Tang

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Cited articles

Allison, S. D., Wallenstein, M. D., and Bradford, M. A.: Soil-carbon response to warming dependent on microbial physiology, Nat. Geosci., 3, 336–340, 2010.
Averill, C.: Divergence in plant and microbial allocation strategies explains continental patterns in microbial allocation and biogeochemical fluxes, Ecol. Lett., 17, 1202–1210, 2014.
Borghans, J. A. M., DeBoer, R. J., and Segel, L. A.: Extending the quasi-steady state approximation by changing variables, B Math. Biol., 58, 43–63, 1996.
Cha, S. and Cha, C. J. M.: Kinetics of Cyclic Enzyme Systems, Mol. Pharmacol., 1, 178–189, 1965.
Drake, J. E., Darby, B. A., Giasson, M.-A., Kramer, M. A., Phillips, R. P., and Finzi, A. C.: Stoichiometry constrains microbial response to root exudation- insights from a model and a field experiment in a temperate forest, Biogeosciences, 10, 821–838,, 2013.
Short summary
Neither the Michaelis-Menten kinetics nor the reverse Michaelis-Menten kinetics is a consistent approximation to the formulation of law of mass action. The ECA kinetics better approximates the exact solution obtained from the law of mass action and the total quasi-steady-state approximation. The ECA kinetics outperformed the MM kinetics and RMM kinetics in predicting the kinetic parametric sensitivity. The ECA kinetics is therefore expected to improve all soil biogeochemical models.