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

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A moment closure method for stochastic reaction networks

Cited 30 times inthomson ciCited 30 times inthomson ci
Title
A moment closure method for stochastic reaction networks
Author
Kim, PilwonLee, Chang HyeongKim, Kyeong-Hun
Issue Date
2009-04
Publisher
AMER INST PHYSICS
Citation
JOURNAL OF CHEMICAL PHYSICS, v.130, no.13, pp.134107
Abstract
In this paper we present a moment closure method for stochastically modeled chemical or biochemical reaction networks. We derive a system of differential equations which describes the dynamics of means and all central moments from a chemical master equation. Truncating the system for the central moments at a certain moment term and using Taylor approximation, we obtain explicit representations of means and covariances and even higher central moments in recursive forms. This enables us to deal with the moments in successive differential equations and use conventional numerical methods for their approximations. Furthermore, we estimate the errors in the means and central moments generated by the approximation method. We also find the moments at equilibrium by solving truncated algebraic equations. We show in examples that numerical solutions based on the moment closure method are accurate and efficient by comparing the results to those of stochastic simulation algorithms.
URI
https://scholarworks.unist.ac.kr/handle/201301/8499
URL
https://aip.scitation.org/doi/10.1063/1.3103264
DOI
10.1063/1.3103264
ISSN
0021-9606
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