The meaning of sensitivity functions in signaling pathways analysis

Jaroslaw Smieja; Malgorzata Kardynska; Arkadiusz Jamroz

doi:10.3934/dcdsb.2014.19.2697

Article Contents

2014, Volume 19, Issue 8: 2697-2707. Doi: 10.3934/dcdsb.2014.19.2697

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The meaning of sensitivity functions in signaling pathways analysis

1.
Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-101 Gliwice
2.
Institute of Automatic Control, Silesian University of Technology, Akademicka 16, 44-100 Gliwice

Received: October 31, 2013

Revised: April 30, 2014

Published: September 2014

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Abstract

The paper deals with local sensitivity analysis of signaling pathway models, based on sensitivity functions. Though the methods are well known, their application to various models is always based on the assumption that the output of the system whose sensitivity is analyzed is given by absolute quantitative data. In signaling pathways models, however, this data is always normalized. In this paper we show what are the implications of the way the signaling pathways models are built for the interpretation of sensitivity functions and parameter rankings based on them. The reasoning is illustrated using simple first- and second order systems as well as an example of a simple regulatory module.

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Mathematics Subject Classification: Primary: 92C40, 92C45, 93B35; Secondary: 65C05.

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