A modified uniformization method for the solution of the chemical master equation

A modified uniformization method for the solution of the chemical master equation

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Article ID: iaor20122311
Volume: 59
Issue: 1
Start Page Number: 573
End Page Number: 584
Publication Date: Jan 2010
Journal: Computers and Mathematics with Applications
Authors: , ,
Keywords: networks, heuristics
Abstract:

The chemical master equation is considered an accurate description of general chemical systems, and especially so for gene regulatory networks and protein–protein interaction networks. However, solving chemical master equations directly is considered computationally intensive. This paper discusses an efficient way of solving the chemical master equation for some prototypical problems in systems biology. Comparisons between this new approach and some traditional approaches, especially Monte‐Carlo algorithms, are also presented, and show that under certain conditions the new approach performs better than Monte‐Carlo algorithms.

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