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Global Uncertainty Analysis for a Model of TNF-Induced NF-κB Signalling

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Advances in the Theory of Control, Signals and Systems with Physical Modeling

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 407))

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Abstract

In this work, we study the problem of computing outer bounds for the region of steady states of biochemical reaction networks modelled by ordinary differential equations, with respect to parameters that are allowed to vary within a predefined region. An improved implementation of an algorithm which we presented earlier is developed in order to increase the computational efficiency. The gain in efficiency enables the analysis of medium scale biochemical network models. The applicability of the algorithm to such networks is illustrated by studying a newly developed model for a tumor necrosis factor signalling pathway. This pathway is of major importance for the inflammatory response in mammals and therefore of high biomedical interest. The proposed uncertainty analysis algorithm is applied to the model in order to understand how variations in the parameters and co-stimulation of different receptor types may affect the signalling response in this pathway.

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Author information

Authors and Affiliations

  1. Institute for Systems Theory and Automatic Control, Universität Stuttgart, Pfaffenwaldring 9, 70569, Stuttgart, Germany

    Steffen Waldherr, Jan Hasenauer & Frank Allgöwer

  2. Institute for Cell Biology and Immunology, Universität Stuttgart, Allmandring 31, 70569, Stuttgart, Germany

    Malgorzata Doszczak & Peter Scheurich

Authors
  1. Steffen Waldherr
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  2. Jan Hasenauer
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  3. Malgorzata Doszczak
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  4. Peter Scheurich
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  5. Frank Allgöwer
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Editor information

Editors and Affiliations

  1. CAS, Unité Mathématiques et Systémes, MINES-ParisTech, 35, rue Saint-Honoré, 77300, Fontainebleau, France

    Jean Lévine

  2. Laboratoire d’ Automatique, Faculté des Sciences de l’Ingénieur Station 9, CH-1015, Lausanne, Switzerland

    Philippe Müllhaupt

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Waldherr, S., Hasenauer, J., Doszczak, M., Scheurich, P., Allgöwer, F. (2010). Global Uncertainty Analysis for a Model of TNF-Induced NF-κB Signalling. In: Lévine, J., Müllhaupt, P. (eds) Advances in the Theory of Control, Signals and Systems with Physical Modeling. Lecture Notes in Control and Information Sciences, vol 407. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16135-3_29

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  • DOI: https://doi.org/10.1007/978-3-642-16135-3_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16134-6

  • Online ISBN: 978-3-642-16135-3

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