10 citations · 21 across the 5 of their papers we have counts for
5 papers
From Disequilibrium Markets to Equilibrium
Christian Lax, Torsten Trimborn
The modeling of financial markets as disequilibrium models by ordinary differential equations has become a popular modeling tool. One famous example of such a model is the Beja-Gol…
Quasi-steady state and singular perturbation reduction for reaction networks with non-interacting species
Elisenda Feliu, Christian Lax, Sebastian Walcher +1
Quasi-steady state (QSS) reduction is a commonly used method to lower the dimension of a differential equation model of a chemical reaction network. From a mathematical perspective…
Singular perturbations and scaling
Christian Lax, Sebastian Walcher
Scaling transformations involving a small parameter ({\em degenerate scalings}) are frequently used for ordinary differential equations that model (bio-) chemical reaction networks…
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system
Martin Frank, Christian Lax, Sebastian Walcher +1
The Michaelis-Menten mechanism is probably the best known model for an enzyme-catalyzed reaction. For spatially homogeneous concentrations, QSS reductions are well known, but this…
A coordinate-independent version of Hoppensteadt's convergence theorem
Christian Lax, Katrin Seliger, Sebastian Walcher
The classical theorems about singular perturbation reduction (due to Tikhonov and Fenichel) are concerned with convergence on a compact time interval (in slow time) as a small para…