# Separation of time-scales and model reduction for stochastic reaction networks - Mathematics > Probability

Separation of time-scales and model reduction for stochastic reaction networks - Mathematics > Probability - Download this document for free, or read online. Document in PDF available to download.

Abstract: A stochastic model for a chemical reaction network is embedded in aone-parameter family of models with species numbers and rate constants scaledby powers of the parameter. A systematic approach is developed for determiningappropriate choices of the exponents that can be applied to large complexnetworks. When the scaling implies subnetworks have different time-scales, thesubnetworks can be approximated separately providing insight into the behaviorof the full network through the analysis of these lower dimensionalapproximations.

Author: ** Hye-Won Kang, Thomas G. Kurtz**

Source: https://arxiv.org/