title: Binomial moment equations for stochastic reaction systems.
abstract: 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 Monte Carlo simulations.
authors.affiliation: Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.
authors.forename: Baruch
authors.initials: B
authors.lastname: Barzel
authors.forename: Ofer
authors.initials: O
authors.lastname: Biham
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007700:Kinetics; D015233:Models, Statistical; D009010:Monte Carlo Method; D013269:Stochastic Processes