Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics
For researchers studying multiscale reaction kinetics, this provides a comparative analysis of diffusion-based approximation methods.
This paper analyzes the efficiency and accuracy of diffusion approximation methods for multiscale stochastic chemical systems, comparing their advantages and disadvantages to other approaches.
Several different methods exist for efficient approximation of paths in multiscale stochastic chemical systems. Another approach is to use bursts of stochastic simulation to estimate the parameters of a stochastic differential equation approximation of the paths. In this paper, multiscale methods for approximating paths are used to formulate different strategies for estimating the dynamics by diffusion processes. We then analyse how efficient and accurate these methods are in a range of different scenarios, and compare their respective advantages and disadvantages to other methods proposed to analyse multiscale chemical networks.