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Numerical methods for the chemical master equation and applications to stochastic models or receptor oligomerisation
Author(s) -
MacNamara Shev,
Burrage Kevin,
Sidje Roger B.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700209
Subject(s) - master equation , context (archaeology) , perspective (graphical) , statistical physics , noise (video) , computer science , stochastic modelling , stochastic process , biological system , mathematics , physics , biology , artificial intelligence , statistics , paleontology , quantum mechanics , image (mathematics) , quantum
The chemical master equation is an important model for studying chemical kinetics, especially in the context of systems biology where noise is known to play an important role and so a discrete and stochastic framework is required. However due to the high dimensional nature of the equations it has often been felt to be too difficult to tackle numerically, although recently much progress has been made. Here some novel numerical methods are presented and applied to stochastic models of receptor oligomerisation, which have previously been studied only by simulation. This gives a novel perspective on these models and suggests some insights into the phenomena of the role they play in buffering cell signals. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)