56 citations · 61 across the 5 of their papers we have counts for
6 papers
Stochastic Averaging and Statistical Inference of Glycolytic Pathway
Arnab Ganguly, Hye-Won Kang
Many biological processes exhibit oscillatory behavior. Among these, glycolytic oscillations have been extensively studied due to their well-characterized biochemical reaction netw…
Chemical systems with limit cycles
Radek Erban, Hye-Won Kang
The dynamics of a chemical reaction network (CRN) is often modelled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomi…
Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics
Hye-Won Kang, Wasiur R. KhudaBukhsh, Heinz Koeppl +1
In this paper we derive several quasi steady-state approximations (QSSAs) to the stochastic reaction network describing the Michaelis-Menten enzyme kinetics. We show how the differ…
Reduction for stochastic biochemical reaction networks with multiscale conservations
Jae Kyoung Kim, Grzegorz A. Rempala, Hye-Won Kang
Biochemical reaction networks frequently consist of species evolving on multiple timescales. Stochastic simulations of such networks are often computationally challenging and there…
Central limit theorems and diffusion approximations for multiscale Markov chain models
Hye-Won Kang, Thomas G. Kurtz, Lea Popovic
Ordinary differential equations obtained as limits of Markov processes appear in many settings. They may arise by scaling large systems, or by averaging rapidly fluctuating systems…
Separation of time-scales and model reduction for stochastic reaction networks
Hye-Won Kang, Thomas G. Kurtz
A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A syst…