Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839132 | Nonlinear Analysis: Real World Applications | 2007 | 24 Pages |
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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Authors
Lena Noethen, Sebastian Walcher,