Multiscale stochastic modelling of gene expression

Stochastic phenomena in gene regulatory networks can be modelled by the chemical master equation for gene products such as mRNA and proteins. If some of these elements are present in significantly higher amounts than the rest, or if some of the reactions between these elements are substantially fast...

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Bibliographic Details
Published in:Journal of mathematical biology 2012-09, Vol.65 (3), p.493-520
Main Authors: Bokes, Pavol, King, John R., Wood, Andrew T. A., Loose, Matthew
Format: Article
Language:English
Subjects:
Applications of Mathematics
Gene Expression Regulation
Gene Regulatory Networks
Kinetics
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Models, Genetic
Numerical Analysis, Computer-Assisted
Protein Biosynthesis
RNA, Messenger - genetics
Stochastic Processes
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Summary:Stochastic phenomena in gene regulatory networks can be modelled by the chemical master equation for gene products such as mRNA and proteins. If some of these elements are present in significantly higher amounts than the rest, or if some of the reactions between these elements are substantially faster than others, it is often possible to reduce the master equation to a simpler problem using asymptotic methods. We present examples of such a procedure and analyse the relationship between the reduced models and the original.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-011-0468-7