## MBI Publications

### MBI Publications for Thomas Kurtz (2)

• H. Kang, T. Kurtz and L. Popovic
Central limit theorems and diffusion approximations for multiscale Markov chain models
(In Preparation)

#### Abstract

• H. Kang and T. Kurtz
Separation of time-scales and model reduction for stochastic reaction networks
Annals of Applied ProbabilityVol. 23 No. 1 (2013) pp. 529-583

#### Abstract

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 systematic approach is developed for determining appropriate choices of the exponents that can be applied to large complex networks. When the scaling implies subnetworks have different time-scales, the subnetworks can be approximated separately, providing insight into the behavior of the full network through the analysis of these lower-dimensional approximations.