On the quasi-steady-state approximation in an open Michaelis–Menten reaction mechanism

The conditions for the validity of standard quasi-steady-state approximation in Michaelis--Menten mechanism a closed reaction vessel have been well studied, but much less so this system with substrate inflow. We analyze scenarios open attributable to singular perturbations, as restrictive conditions. For both settings we obtain distinguished invariant slow manifolds and time scale estimates, highlight special role perturbation parameters higher order approximations manifolds. close paper discussion global phase portrait.