Publikation: Zeitschriftenartikel

Reduction of nonlinear dynamic systems with an application to signal transduction pathways

Grunddaten
Abstract
Autoren
Einrichtung

Grunddaten

Titel	Reduction of nonlinear dynamic systems with an application to signal transduction pathways
Veröffentlicht in	IET systems biology. - Stevenage : IET
Erscheinungsjahr	2007
Seiten (von – bis)	2 – 9
Band	1
Heft-Nr.	1
Jahr	2007
Publikationsform	Druckschrift
Publikationsart	Zeitschriftenartikel
Sprache	Englisch
Letzte Änderung	20.05.2019 13:41:53
Bearbeitungsstatus	durch UB Rostock abschließend validiert
Dauerhafte URL	http://purl.uni-rostock.de/fodb/pub/36663
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Abstract

Mathematical modelling of kinetic processes with different time scales allows a reduction of the governing equations using quasi-steady-state approximations (QSSA). A QSSA theorem is applied to a mathematical model of the influence that Raf kinase inhibitor protein (RKIP) has on the ERK signalling pathway. On the basis of previously published parameter values, the system of 11 ordinary differential equations is rewritten in a form suitable for model reduction. In accordance with the terminology of the QSSA theorem, it is established that four of the protein and protein-complex concentrations are `fast varying', such that the corresponding kinetic equations form an attached system. Another concentration is `medium varying' such that the corresponding equation is reduced with respect to the four fast ones. The other six concentrations are `slow varying', which means the corresponding kinetic equations also present a reduced system with respect to the others. Analytical solutions, relating the steady-state values of the fast varying protein concentrations and the slow varying ones, are derived and interpreted as restrictions on the regulatory role of RKIP on ERK-pathway

Autoren

Petrov, Valko
Nikolova, E.
Wolkenhauer, Olaf

Einrichtung

IEF/Bereich Informatik