3 papers
math.DS2026
Lumping of reaction networks: Generic and critical parameters
Justin Eilertsen, Valery G. Romanovski, Santiago Schnell +1
We investigate linear lumping for parameter-dependent mass action reaction networks, distinguishing between generic and critical parameter regimes. For generic parameters -- those…
physics.chem-ph2025
Accuracy versus Predominance: Reassessing the validity of the quasi-steady-state approximation
Kashvi Srivastava, Justin Eilertsen, Victoria Booth +1
The application of the standard quasi-steady-state approximation to the Michaelis--Menten reaction mechanism is a textbook example of biochemical model reduction, derived using sin…
math.DS2024
The Michaelis--Menten reaction at low substrate concentrations: Pseudo-first-order kinetics and conditions for timescale separation
Justin Eilertsen, Santiago Schnell, Sebastian Walcher
We demonstrate that the Michaelis-Menten reaction mechanism can be accurately approximated by a linear system when the initial substrate concentration is low. This leads to pseudo-…