4 papers
Timescale disparity and the reduction of the chemical master equation: A geometric approach via the linear noise approximation
Justin Eilertsen, Wylie Stroberg
The chemical master equation dictates the stochastic behavior of chemical reaction networks in small volumes that are well-mixed and homogeneous. Although the Gillespie algorithm i…
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…
On the reduction of stochastic chemical reaction networks
Justin Eilertsen, Wylie Stroberg
The linear noise approximation (LNA) describes the random fluctuations from the mean-field concentrations of a chemical reaction network due to intrinsic noise. It is also used as…
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…