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Author

Lee, Chang Hyeong
Stochastic Analysis & Simulation(SAS) Lab
Research Interests
  • Stochastic analysis/computation, epidemic modeling, biological system simulation

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A probability generating function method for stochastic reaction networks

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Title
A probability generating function method for stochastic reaction networks
Author
Kim, PilwonLee, Chang Hyeong
Keywords
CHEMICAL-KINETICS; SIMULATION
Issue Date
201206
Publisher
AMER INST PHYSICS
Citation
JOURNAL OF CHEMICAL PHYSICS, v.136, no.23, pp.1 - 8
Abstract
In this paper we present a probability generating function (PGF) approach for analyzing stochastic reaction networks. The master equation of the network can be converted to a partial differential equation for PGF. Using power series expansion of PGF and Pade approximation, we develop numerical schemes for finding probability distributions as well as first and second moments. We show numerical accuracy of the method by simulating chemical reaction examples such as a binding-unbinding reaction, an enzyme-substrate model, Goldbeter-Koshland ultrasensitive switch model, and G(2)/M transition model.
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DOI
http://dx.doi.org/10.1063/1.4729374
ISSN
0021-9606
Appears in Collections:
SNS_Journal Papers
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