Bifurcation Analysis of a Model Accounting for the 14-3-3s Signalling Compartmentalisation

Author(s):  
S. Nikolov ◽  
J. Vera ◽  
O. Wolkenhauer

Bifurcation theory studies the qualitative changes in the phase portrait when we vary the parameters of the system. In this book chapter we adapt and extend a mathematical model accounting for the subcellular localisation of 14-3-3s, a protein involved in cell cycle arrest and the regulation of apoptosis. The model is analysed with analytical tools coming from Lyapunov-Andronov theory, and our analytical calculations predict that soft (reversible) loss of stability takes place.

2013 ◽  
pp. 851-859
Author(s):  
S. Nikolov ◽  
J. Vera ◽  
O. Wolkenhauer

Bifurcation theory studies the qualitative changes in the phase portrait when we vary the parameters of the system. In this book chapter we adapt and extend a mathematical model accounting for the subcellular localisation of 14-3-3s, a protein involved in cell cycle arrest and the regulation of apoptosis. The model is analysed with analytical tools coming from Lyapunov-Andronov theory, and our analytical calculations predict that soft (reversible) loss of stability takes place.


2005 ◽  
Vol 43 (05) ◽  
Author(s):  
M Gerhard ◽  
C Schmees ◽  
R Rad ◽  
P Voland ◽  
T Treptau ◽  
...  

10.2741/a527 ◽  
2000 ◽  
Vol 5 (3) ◽  
pp. d479-487 ◽  
Author(s):  
Dan Grandér

Sign in / Sign up

Export Citation Format

Share Document