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A mass action model of a fibroblast growth factor signaling pathway and its simplification

Abstract:

We consider a kinetic law of mass action model for Fibroblast Growth Factor (FGF) signaling, focusing on the induction of the RAS-MAP kinase pathway via GRB2 binding. Our biologically simple model suffers a combinatorial explosion in the number of differential equations required to simulate the system. In addition to numerically solving the full model, we show that it can be accurately simplified. This requires combining matched asymptotics, the quasi-steady state hypothesis, and the fact sub...

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Publisher:
Springer
Publication date:
2008-01-01
UUID:
uuid:6f644900-ff78-4db5-9af4-d9da7f4dfc0b
Local pid:
oai:eprints.maths.ox.ac.uk:875
Deposit date:
2011-05-20

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