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On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism
The conditions for the validity of the standard quasi-steady-state approximation in the Michaelis--Menten mechanism in a closed reaction vessel have been well studied, but much less so the conditions for the validity of this approximation for the system with substrate inflow.
Dynamical Systems Primary: 92C45, Secondary: 34N05, 34C45
Algorithmic Reduction of Biological Networks With Multiple Time Scales
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular biochemistry, and compartmental models for pharmacology, epidemiology and ecology.
