Professor GARY MIRAMS GARY.MIRAMS@NOTTINGHAM.AC.UK
PROFESSOR OF MATHEMATICAL BIOLOGY
Professor GARY MIRAMS GARY.MIRAMS@NOTTINGHAM.AC.UK
PROFESSOR OF MATHEMATICAL BIOLOGY
Helen M. Byrne
Professor JOHN KING JOHN.KING@NOTTINGHAM.AC.UK
PROFESSOR OF THEORETICAL MECHANICS
The Wnt signalling pathway is involved in stem cell maintenance, differentiation and tissue development. Its disregulation has also been implicated in many cancers. β-catenin is a protein that regulates both transcription of many genes and cell-cell adhesion; in response to an external Wnt stimulus the intracellular levels of β-catenin are controlled by the proteins which make up the Wnt/β-catenin signalling pathway. In this paper we present a systematic asymptotic analysis of an existing model of the Wnt signalling pathway due to Lee et al. (PLoS Biol 1:116-132, 2003), highlighting the operation of different pathway components over different timescales. Guided by this analysis we derive a simplified model which is shown to retain the essential behaviour of the full Wnt pathway, recreating the accumulation and degradation of β-catenin in response to a Wnt stimulus. © Springer-Verlag 2009.
Mirams, G. R., Byrne, H. M., & King, J. R. (2010). A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway. Journal of Mathematical Biology, 60(1), 131-160. https://doi.org/10.1007/s00285-009-0262-y
Journal Article Type | Article |
---|---|
Online Publication Date | Mar 14, 2009 |
Publication Date | 2010-01 |
Deposit Date | Jan 14, 2020 |
Journal | Journal of Mathematical Biology |
Print ISSN | 0303-6812 |
Electronic ISSN | 1432-1416 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 60 |
Issue | 1 |
Pages | 131-160 |
DOI | https://doi.org/10.1007/s00285-009-0262-y |
Public URL | https://nottingham-repository.worktribe.com/output/3217744 |
Publisher URL | https://link.springer.com/article/10.1007%2Fs00285-009-0262-y |
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