56 citations · 61 across the 5 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2026
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…
math.PR2012★ 56 cited
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…
math.PR2010★ 4 cited
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…