34 citations · 69 across the 11 of their papers we have counts for
11 papers
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…
Hunting : The origin and validity of quasi-steady-state reductions in enzyme kinetics
Justin Eilertsen, Malgorzata Anna Tyczynska, Santiago Schnell
The estimation of the kinetic parameters requires the careful design of experiments under a constrained set of conditions. Many estimates reported in the literature incorporate pro…
On the validity of the stochastic quasi-steady-state approximation in open enzyme catalyzed reactions: Timescale separation or singular perturbation?
Justin Eilertsen, Santiago Schnell
The quasi-steady-state approximation is widely used to develop simplified deterministic or stochastic models of enzyme catalyzed reactions. In deterministic models, the quasi-stead…
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…
Stochastic enzyme kinetics and the quasi-steady-state reductions: Application of the slow scale linear noise approximation à la Fenichel
Justin Eilertsen, Kashvi Srivastava, Santiago Schnell
The linear noise approximation models the random fluctuations from the mean-field model of a chemical reaction that unfolds near the thermodynamic limit. Specifically, the fluctuat…