title: Moment closure approximations for stochastic kinetic models with rational rate laws.
abstract: Stochastic models are often used when modelling chemical species that have low numbers of molecules. However, as these models become large, it can become computationally expensive to simulate even a single realisation of the system since even efficient simulation techniques have a high computational cost. One possible technique to approximate the stochastic system is moment closure. The moment closure approximation is used to provide analytic approximations to non-linear stochastic models. Until now, this approximation has only been applied to models with polynomial rate laws. In this paper we extend the moment closure method to cover models with rational rate laws.
authors.affiliation: School of Mathematics & Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom.
authors.forename: Peter
authors.initials: P
authors.lastname: Milner
authors.forename: Colin S
authors.initials: CS
authors.lastname: Gillespie
authors.forename: Darren J
authors.initials: DJ
authors.lastname: Wilkinson
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007700:Kinetics; D008956:Models, Chemical; D013269:Stochastic Processes