Investigation of Dynamic Behaviour of Receptor Tyrosine Kinase and Protein Tyrosine Phospatase Reaction Network using Mathematical Model

Investigation of Dynamic Behaviour of Receptor Tyrosine Kinase and Protein Tyrosine Phospatase Reaction Network using Mathematical Model

The dynamic and bifurcation behaviour of receptor tyrosin kinase (RTK) and protein tyrosine phospatase (PTP) reaction network model is investigated on the basis of Lyapunov-Andronov's theory. According to our qualitative and bifurcation analysis, propagation of phosphorylation is only possible...

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Bibliographic Details
Main Authors: Wolkenhauer O., Petrov V., Vera J., Nikolov S.
Format: Article
Language:English
Published: Academic Publishing House 2007-12-01
Series:Bioautomation
Subjects:
PTP-RTK Reaction Network
Mathematical Model
Bifurcation Analysis
Online Access:http://www.clbme.bas.bg/bioautomation/2007/vol_8.1/files/8_3.2.pdf
Description
Summary:The dynamic and bifurcation behaviour of receptor tyrosin kinase (RTK) and protein tyrosine phospatase (PTP) reaction network model is investigated on the basis of Lyapunov-Andronov's theory. According to our qualitative and bifurcation analysis, propagation of phosphorylation is only possible in the unstable regime of the reaction network, i.e. when kinase activity of the receptor increases on phosphorylation. For some values of the model parameters first Lyapunov value can be positive or negative and bistability takes place.
ISSN:1313-261X
1312-451X

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