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

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Author(s): S. Nikolov (Institute of Mechanics and Biomechanics, Bulgaria), J. Vera (University of Rostock, Germany)and O. Wolkenhauer (University of Rostock, Germany)
Copyright: 2012
Pages: 10
Source title: Quality Assurance in Healthcare Service Delivery, Nursing and Personalized Medicine: Technologies and Processes
Source Author(s)/Editor(s): Athina Lazakidou (University of Peloponnese, Greece)and Andriani Daskalaki (Max Planck Institute for Molecular Genetics, Germany)
DOI: 10.4018/978-1-61350-120-7.ch004

Keywords: Health Information Systems / Medical Information Science Reference / Medicine & Healthcare

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Abstract

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.

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

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