2012
DOI: 10.1088/1742-5468/2012/11/p11010
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Multi-compartment linear noise approximation

Abstract: The ability to quantify stochastic fluctuations present in biochemical and other systems is becoming increasing important. Analytical descriptions of these fluctuations are attractive, as stochastic simulations are computationally expensive. Building on previous work, the linear noise approximation is developed for biochemical models with many compartments e.g. cells. The procedure is then implemented in the software package COPASI. This technique is illustrated with two simple examples and is then applied to … Show more

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Cited by 8 publications
(8 citation statements)
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“…More compartments than one are also found in Challenger et al. (2012). The equations of LNA with spatial variation are derived in Scott et al.…”
Section: Introductionsupporting
confidence: 64%
“…More compartments than one are also found in Challenger et al. (2012). The equations of LNA with spatial variation are derived in Scott et al.…”
Section: Introductionsupporting
confidence: 64%
“…(30) (sometimes referred to as the multi-compartment LNA [24]). Additionally this spatiallyextended reaction system satisfies the four constraints mentioned in Section III.A and hence it follows by the results of Section III that the multi-compartment LNA and the RDME agree to second-order moments in the molecule number fluctuations in each of the boxes composing space.…”
Section: A Spatially Extended Systemsmentioning
confidence: 99%
“…The LNA has been successfully applied to describe intrinsic stochastic fluctuations in various contexts [44][45][46] and has a solid theoretical basis [47,48]. The LNA provides accurate approximation for large populations or when the fluctuations are small compared to the steady state of the system.…”
Section: Discussionmentioning
confidence: 99%