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- Title
The Linear Noise Approximation for Spatially Dependent Biochemical Networks.
- Authors
Lötstedt, Per
- Abstract
An algorithm for computing the linear noise approximation (LNA) of the reaction–diffusion master equation (RDME) is developed and tested. The RDME is often used as a model for biochemical reaction networks. The LNA is derived for a general discretization of the spatial domain of the problem. If M is the number of chemical species in the network and N is the number of nodes in the discretization in space, then the computational work to determine approximations of the mean and the covariances of the probability distributions is proportional to M 2 N 2 in a straightforward implementation. In our LNA algorithm, the work is proportional to M 2 N . Since N usually is larger than M, this is a significant reduction. The accuracy of the approximation in the algorithm is estimated analytically and evaluated in numerical experiments.
- Subjects
REACTION-diffusion equations; NOISE; APPROXIMATION algorithms; CHEMICAL species; BIOCHEMICAL models
- Publication
Bulletin of Mathematical Biology, 2019, Vol 81, Issue 8, p2873
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-018-0428-0