Binomial moment equations for stochastic reaction systems

Baruch Barzel*, Ofer Biham

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


A highly efficient formulation of moment equations for stochastic reaction networks is introduced. It is based on a set of binomial moments that capture the combinatorics of the reaction processes. The resulting set of equations can be easily truncated to include moments up to any desired order. The number of equations is dramatically reduced compared to the master equation. This formulation enables the simulation of complex reaction networks, involving a large number of reactive species much beyond the feasibility limit of any existing method. It provides an equation-based paradigm to the analysis of stochastic networks, complementing the commonly used MonteCarlo simulations.

Original languageAmerican English
Article number150602
JournalPhysical Review Letters
Issue number15
StatePublished - 13 Apr 2011


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