41 citations · 164 across the 26 of their papers we have counts for
28 papers
Rigorous estimates for the quasi-steady state approximation of the Michaelis-Menten reaction mechanism at low enzyme concentrations
Justin Eilertsen, Santiago Schnell, Sebastian Walcher
There is a vast amount of literature concerning the appropriateness of various perturbation parameters for the standard quasi-steady state approximation in the Michaelis-Menten rea…
Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks
Justin Eilertsen, Santiago Schnell, Sebastian Walcher
We consider reaction networks that admit a singular perturbation reduction in a certain parameter range. The focus of this paper is on deriving "small parameters" (briefly for smal…
On the anti-quasi-steady-state conditions of enzyme kinetics
Justin Eilertsen, Santiago Schnell, Sebastian Walcher
Quasi-steady state reductions for the irreversible Michaelis--Menten reaction mechanism are of interest both from a theoretical and an experimental design perspective. A number of…
Critical parameters for singular perturbation reductions of chemical reaction networks
Elisenda Feliu, Sebastian Walcher, Carsten Wiuf
We are concerned with polynomial ordinary differential systems that arise from modelling chemical reaction networks. For such systems, which may be of high dimension and may depend…
On the quasi-steady-state approximation in an open Michaelis--Menten reaction mechanism
Justin Eilertsen, Marc R. Roussel, Santiago Schnell +1
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 les…
Algorithmic Reduction of Biological Networks With Multiple Time Scales
Niclas Kruff, Christoph Lüders, Ovidiu Radulescu +2
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks whic…