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2014.74: Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics

2014.74: Simon Cotter and Radek Erban (2014) Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics.

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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.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 65 Numerical analysis
MSC 2000 > 92 Biology and other natural sciences
MIMS number:2014.74
Deposited By:Dr Simon L Cotter
Deposited On:18 December 2014

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