Separation of time-scales and model reduction for stochastic reaction networks.

By Hye-Won Kang, Thomas G. Kurtz. 2010

184 citations recorded by the source corpus.

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 dierent 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.

Subfields: Molecular Biology

View Paper: https://www.semanticscholar.org/paper/f00cb1162391c6f924c13f174322dca932e076e7

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In Molecular Biology

1. David F. Anderson
2. Thomas G. Kurtz
3. Paul C. Bressloff
4. Niels Richard Hansen
5. Alexander Sokol

Citations in the corpus

• Continuous Time Markov Chain Models for Chemical Reaction Networks (2011, methodology): “Consequently, methods are developed in [4], [26], and [27] for deriving simplified models in which different species numbers are normalized in different ways appropriate to their numbers in the system.”