Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics

TL;DR

This paper evaluates various diffusion approximation methods for multiscale stochastic chemical systems, analyzing their efficiency and accuracy in different scenarios to guide better modeling strategies.

Contribution

It introduces and compares multiple multiscale diffusion approximation strategies, providing insights into their relative advantages and limitations in chemical network analysis.

Findings

Diffusion methods vary in accuracy depending on system scale

Some strategies outperform others in computational efficiency

Trade-offs exist between approximation accuracy and computational cost

Abstract

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.