Quasi-steady state in the Michaelis–Menten system |
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| Authors: | Lena Noethen Sebastian Walcher |
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| Institution: | aLehrstuhl A für Mathematik, RWTH Aachen, 52056 Aachen, Germany |
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| Abstract: | We discuss the differential equations derived from the Michaelis–Menten model of an enzyme-catalyzed reaction, with no a priori conditions on parameters or initial concentrations. Using an elementary approach, we derive and investigate inequalities and conditions for the validity of the quasi-stationary approximation, confirming results by Segel and Slemrod, and determine new estimates for the pre-steady state period. |
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| Keywords: | Enzyme-catalyzed reaction Invariant set Differential inequality Monotone system |
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