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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
Links zu Katalogen
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