4 papers
Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions
Wai-Tong Louis Fan, Yifan Johnny Yang, Chaojie Yuan
The Togashi Kaneko model (TK model), introduced by Togashi and Kaneko in 2001, is a simple stochastic reaction network that displays discreteness-induced transitions between meta-s…
Variance of finite difference methods for reaction networks with non-Lipschitz rate functions
David F. Anderson, Chaojie Yuan
Parametric sensitivity analysis is a critical component in the study of mathematical models of physical systems. Due to its simplicity, finite difference methods are used extensive…
Time-dependent product-form Poisson distributions for reaction networks with higher order complexes
David F. Anderson, David Schnoerr, Chaojie Yuan
It is well known that stochastically modeled reaction networks that are complex balanced admit a stationary distribution that is a product of Poisson distributions. In this paper,…
Low variance couplings for stochastic models of intracellular processes with time-dependent rate functions
David F. Anderson, Chaojie Yuan
A number of coupling strategies are presented for stochastically modeled biochemical processes with time-dependent parameters. In particular, the stacked coupling is introduced and…