Multivariate moment closure techniques for stochastic kinetic models.
Eszter Lakatos, Angelique Ale, Paul DW Kirk, Michael PH Stumpf
The Journal of Chemical Physics | Published : 2015
Stochastic effects dominate many chemical and biochemical processes. Their analysis, however, can be computationally prohibitively expensive and a range of approximation schemes have been proposed to lighten the computational burden. These, notably the increasingly popular linear noise approximation and the more general moment expansion methods, perform well for many dynamical regimes, especially linear systems. At higher levels of nonlinearity, it comes to an interplay between the nonlinearities and the stochastic dynamics, which is much harder to capture correctly by such approximations to the true stochastic processes. Moment-closure approaches promise to address this problem by capturing..View full abstract